diff --git "a/data/dm_maths/full_data_1/2293_11255.jsonl" "b/data/dm_maths/full_data_1/2293_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2293_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 269889469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47\/130 + 6\/13. Let s = 1\/40 + v. Let i = -31\/4 + 15\/2. Which is the smallest value? (a) 4 (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven thirds of a hour?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 equal to 7\/150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {o: 1, x: 8}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*b - 3369665 + 3371093 for b.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16304?\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -1010101010110?\nAnswer: -1010101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14443*c + 2 = 5*r + 14439*c, 2*c + 4 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -5*d - 3. Let k(g) be the first derivative of -3 - 1\/4*g**4 + 0*g + 0*g**d + 1\/2*g**2. Find the second derivative of k(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/5)\/(6\/15).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**5 - 3*x**5 + 3*x**5)*(-13 + 14 - 27 + (-1 - 4 + 3)*(1 - 4 + 4)).\nAnswer: 28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -737, -1105, -1473, -1841, -2209?\nAnswer: -2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 - 2.1. Sort 2\/9, -0.2, f, -1.\nAnswer: f, -1, -0.2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6674*c**4 + c**3 + 24*c**2 - 59*c - 1.\nAnswer: -160176*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 60596825*d**2.\nAnswer: -5*d**2*(d - 12119365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.83 and -0.17?\nAnswer: -0.8211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/17 - 54*l + 460\/17.\nAnswer: -2*(l + 230)*(2*l - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - 4*w**2 - 3*w**2 + 1 - 1 + 2*w**2 + (w + w - w)*(3*w + 0*w - 2*w) - 5*w + 3*w**2 + 5*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 12:00 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 488*v - 938*v + 448*v + 68 in the form r*v + u and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + w**2 + 1 - 7*w + 1 - 4*w**2 - 3*w**2. Suppose -3 = -2*v + 11. Let c be z(v). Solve c*m - 5*m + 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 387*f - 602 - 900 - 8173 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-16)\/25)\/(-1))\/((-6)\/(-15)). Is p bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (222\/(-18))\/(5 - (-318)\/(-63)) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002719 rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8*a - 4*a + 2110, -2115 = -2*m + 5*a. Calculate the smallest common multiple of 380 and m.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288*1.1\nAnswer: 316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 4 - -1) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 - 4002*t**2 - 2708904*t - 52589280.\nAnswer: -3*(t + 20)*(t + 1324)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28f + 7?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*k - 2066 = -58, -4*c + 2*k + 3974 = 0. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 944*r - 3374 = 174*r + 14759 + 2657 for r.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197238 divided by -759.\nAnswer: 65746\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3280\/11 - (-26)\/(-143)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus 0.8022982?\nAnswer: 1.5022982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 812688 and 338620.\nAnswer: 4063440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4164 + 8496. Let g be ((-2)\/4)\/(1\/(-10)). Suppose 4*j + 4*x - r = 0, 0*x = -4*j + g*x + 4368. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 442204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2923, 10289, 22129, 38443, 59231, 84493, 114229?\nAnswer: 148439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 309 divided by -63\nAnswer: -103\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130215 is divided by 1040?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*d + 0*d + 68 = 0, -2*d = 4. Suppose i*u - 234 = 7*u. Let o = 61 - 35. Calculate the greatest common factor of o and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 18 = -2*x - 248, -2*u - 4*x + 116 = 0. Suppose -q + 19 = -4*l, u = -5*l + 4*q + 16. Let k be (2\/l)\/(1\/6). Is -1 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71254, -285062, -641394, -1140244, -1781606, -2565474, -3491842?\nAnswer: -4560704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/7 + 15*o**3\/7 + 54*o**2\/7 + 40*o\/7.\nAnswer: o*(o + 1)*(o + 4)*(o + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 96*o\/7 + 200\/7.\nAnswer: -2*(o - 2)*(o + 50)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 27646?\nAnswer: -27664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 535, -1, 399871 in increasing order.\nAnswer: -1, 535, 399871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/7 + 1499*l**4\/7 + 818436*l**3\/7 + 190256688*l**2\/7 + 2205438624*l - 15629146992\/7 = 0. What is l?\nAnswer: -438, -186, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000282271555 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17108\/42 + 2\/(-6). Let w = g - 79. Suppose 671 = 2*v + 3*o, v + 0*o = o + w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 4*p**2 - 4*p - 4. Let g(w) = -5*w**3 - 7*w**2 - 7*w - 7. Let k(y) = 2*y + 15. Let o be k(-4). Give o*h(n) - 4*g(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59824*c**5 - 2*c**4*i**2 + 17*c**2*i**2 - 506*i**2 wrt c.\nAnswer: -3589440*c**2 - 48*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + -2.89. Let r = l - -3.2. Let j = 1575 - 1574.92. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 179*d + 29. Determine k(60).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*(-6 + 368\/72).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1616 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -700*o + 2103. Let j be k(3). Solve -4*r + 12 = 5*u, 5*r + j = 2*u + 51 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*0.7\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2646478?\nAnswer: 2, 43, 30773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -22*l**2 - 2*l - 10. Let h be z(3). Let m = h + 216. Solve w + m*q = 4*q - 4, -3*w - 12 = -4*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20671126 and 854821.\nAnswer: 227382386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28666 or 28285?\nAnswer: 28666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.05 - 0.05. Suppose -10*f = -5*f - 25. Let l = -7.16 - -7.66. Sort f, l, r in decreasing order.\nAnswer: f, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 120. Suppose -3*q - 4*g - 2 = 0, -3 + 5 = 5*q + 4*g. Which is the closest to 0.1? (a) q (b) -2 (c) l (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*r + 26 - 122 = 0, 5*f - r = 240. Let t be 8\/5 - 2 - f\/(-220). Which is the nearest to -0.1? (a) -0.4 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = -0*q + 5054 - 5054. Let v(b) be the second derivative of q + 1\/4*b**4 + 10*b + 0*b**3 + 1\/20*b**5 + 2*b**2. Give v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1272630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - -0.6. Let f be (-8)\/32 + 1\/4. Put q, f, 3\/5 in descending order.\nAnswer: 3\/5, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a decade in months?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-2\/3))\/m*((m\/m**(-15))\/m)\/m*m*m**(-1\/5)*m*m*m**(-6\/13) assuming m is positive.\nAnswer: m**(3251\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8912)\/(-15) + 140\/(-1050). Let x = j - 558. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 22. Let y(o) = 272*o**2. Give s(y(t)).\nAnswer: 272*t**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260 and 331055140?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = a + 7, o - a = 7 - 4. Suppose 5*g + 3*z - 19 = 0, g - 6*g = 4*z - 22. Calculate the greatest common factor of g and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2694 in -4\/7, -4\/5, -4\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4\/2 + 132*l**3 - 812205*l**2 + 49797408*l - 1537016673\/2 = 0. Calculate l.\nAnswer: -809, 31, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11*(-1)\/55)\/(1\/2305)?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/10607546 and 89\/240136?\nAnswer: 551592392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(36)\/(sqrt(48)\/sqrt(4))) + ((0 + sqrt(13) - sqrt(13))**2 + -1 - 3*sqrt(13)*2))*3*1.\nAnswer: -15*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 7*w**6\/360 - w**5\/40 + w**4\/8 - 2*w**3\/3 + 7*w**2. Let m(h) be the first derivative of b(h). Calculate m(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -160*m**2 + 103*m wrt m?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 668 + 39 = 0. What are the prime factors of p?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - h - 3809999, h - 15240002 = 4*f - h. What is f rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*-1*(3 + -2). Let x(t) = 3*t - 3. Let u(i) = -2*i + 2. Let r(f) = l*x(f) + 5*u(f). Let o be r(4). Sort 5, o, -1.\nAnswer: o, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 70140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 22308.855 rounded to the nearest 10?\nAnswer: 22310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20.72, -9 in descending order.\nAnswer: 4, -9, -20.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + sqrt(72)) + sqrt(72) + ((sqrt(72) - (0 + sqrt(72))) + -4)**2.\nAnswer: -6*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 j when four letters picked without replacement from {j: 12, g: 1, f: 5}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/9*(1 + 5). Suppose o*x = -h - 15, -2*h = x - 0*h - 5. Let d = x + 9. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*g*i**5 - g*i**3 + 7*g*i + i**5 + i + 8 wrt i.\nAnswer: 440*g*i**3 - 6*g*i + 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -34, -133, -324, -637, -1102, -1749, -2608?\nAnswer: -3709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8681032 millilitres?\nAnswer: 0.0008681032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-72))\/((-8)\/108*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3277*j + 7060. What is o(2)?\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/3 + 6\/(-18). Let m(p) = p**2 - p - 5. Is m(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x + x)*(2 - 3 - 7).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 3 = p. Solve -a + 2*c = p*c - 7, 3*c = 5*a - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 * -3\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61400 = 2928*d - 17656 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 340522551 to the power of 1\/2, to the nearest integer?\nAnswer: 18453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156675?\nAnswer: 3, 5, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13160 divided by 8?\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003072554 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/18)\/(49\/(-21))*(-4270)\/(-366)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p + 13*p - 69*p)*(p - 1 + 1) + (-3 + 3 - 2)*(3*p**2 - 2*p**2 - 3*p**2) - p**2 + 0 + 0.\nAnswer: -62*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*h**2 - 36*h**2 - 36*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((k**0\/k)\/k)\/k)\/k)\/k)**(-2\/5)*k**0\/k*k*k*k\/k**1)\/((k**0*k)**(1\/8)\/(k**3*k*k*k**(-1\/4))) assuming k is positive.\nAnswer: k**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -8)*1*-1. Let h(x) be the third derivative of x**4\/12 - x**3\/2 - 3*x**2. Is 6 a factor of h(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17514 is divided by 2482.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 - 2*l**3 + 333*l**2 + 508*l - 25 wrt l?\nAnswer: 20*l**3 - 12*l + 666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 11 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/60 + 5*x**4\/12 - x**3\/6 - x**2 + 3*x. Let y(w) be the first derivative of u(w). Is y(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-116)*-38*15\/9 and 9\/2?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 33*v + 1 - 34*v - 3. Suppose -4*d = 4*r - 4, -3*r - 2*d + 1059 = 1051. Let o(n) = -6*n - 12. What is r*o(p) - 34*m(p)?\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -3*i - 81. Let w(f) = -f**3 + 17*f**2 + 47*f + 85. Let c be w(21). Let x = c - -700. Calculate the remainder when i is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 7.7. Let y = x - 0.4. Let p = 18 + -18. What is the nearest to y in 5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 295?\nAnswer: 4\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**2)\/(u*u**(2\/5))*(u**(-2\/3))**(-11))**(-5) assuming u is positive.\nAnswer: u**(-134\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -96. Let s be (z*15\/(-6))\/1. Solve -c = g - 1, -s*c = g - 4*g - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 11) to base 8\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (30 + (0 - -6))*4\/6. Let b(o) = o**2 - 25*o + 35. Let j be b(q). Let n(y) = 14*y + 11. What is the units digit of n(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 4)\/((-156)\/(-9)). Is 1 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-40.9\nAnswer: 204.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32836605 a multiple of 5185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 55 - 24 + (2 - 1 + 0)*(31 - 8 - 10))*(0*y + 0*y + y).\nAnswer: -62*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3941, -6653, -9365?\n\"Answer: -2712*x - 1229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.049568 to 3 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*k - 552 = -92*k. Solve r = -2*r + 3*i - k, 0 = -3*r + i - 18 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 3. Let b be r(3). Let o(u) = -u + 9. Suppose 0 = -4*j - 5*x + 5, -5*x - 7 = j - x. Let h be o(j). Solve -h*v - b = -2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 5*g + 74. Let k be s(0). Let v = 74 - k. Solve v = 5*o + 3 - 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -379*f**6\/6 - 3753*f**2\/2 + 7662*f. Find the first derivative of l(s) wrt s.\nAnswer: -7580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 5 + sqrt(1584)*1 + -1)*1 + -2)**2.\nAnswer: 168*sqrt(11) + 1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -327\/8 equal to -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 13*w - 36 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y**3 - 10*y**3 + 5*y**3)*(-25 - 24 + 118 + 144)*(0 + 11 - 7) as v*y**3 + i*y**2 + j + f*y and give v.\nAnswer: -6816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -70. Suppose -4*y = -0*y - m. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2118, 4220, 6282, 8286, 10214, 12048, 13770, 15362?\n\"Answer: -3*o**3 - 2*o**2 + 2129*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 156\/(-10)*10\/2. Let n = u + 160. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:30 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/7 + 12\/7. Find the second derivative of 5*x + 12*x**i + x - x - 3*x wrt x.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -471 - -1131. Let u = -655 + h. Let g = -0.6 - 1.4. Which is the closest to 2? (a) g (b) u (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1906 - -1905.4205. Round t to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -35. Solve 0 = 4*x - u*x + 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/81375 and -64\/1275.\nAnswer: 1383375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(112)*3 - sqrt(112))**2 + -2 + sqrt(112) + 2)*-6.\nAnswer: -172032 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156 - 306. Round y to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.28 + 140.28. Put c, 4, -1 in ascending order.\nAnswer: -1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 6*k + 4. Let p be q(6). Solve -p*f = 3 - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/7 + 34445960*i\/7 + 148315520040200\/7 = 0. Calculate i.\nAnswer: -8611490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002079769 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -19443581.31 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 255576 divided by 10649?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.13 and -121.\nAnswer: -121.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24854 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4 + 16148*h**3\/5 - 307009*h**2 - 933296*h\/5 + 617892\/5 = 0.\nAnswer: -3322, -1, 2\/5, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 9 = -4*p, 3*i - 2*p = -0*i - 7. Let z(t) = -14*t - 5. Is z(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 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 the greatest common divisor of 170 and 114835.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3*o**2 - 31*l**2*o**3 - l**2 - 14*l*o**3 - l + 4*o**3 wrt l?\nAnswer: -24*l*o**2 - 62*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, 11, -6\/31?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p - 3 + 3 + (-p + 1 - 1)*(-1 - 1 + 3) - 22*p + 4*p + 7*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6)\/15 + 49 + 13895\/(-175)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/60 - z**4\/6 + z**3\/6 - z. Let a(j) be the second derivative of b(j). Determine a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:10 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/5)\/((-2)\/52*2). Let d = -32 + m. Solve 5*s + 0*i + 6 = -4*i, -s + 5*i = d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-4))\/(1\/6). Let r = 2.3 - 2.7. What is the second smallest value in 5, a, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + (5*(sqrt(304) + 1 - sqrt(304)))**2.\nAnswer: 4*sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-84)\/9)\/(-4)*-3. Let v(x) = 2*x**3 - 5*x + 2. Let u(b) = -7*b + 0 + 2*b**3 + b**3 + 3. Give p*v(i) + 5*u(i).\nAnswer: i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 185?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 3)**2 + -4 - ((sqrt(15)\/sqrt(3) + 5)**2 - (sqrt(320) + sqrt(320)*2)).\nAnswer: 80*sqrt(5) + 580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.63 - 0.6. Let x = -0.07 + n. Let m = 0.04 + x. Does -6 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/40 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(7) + -2 + 2*sqrt(28) - (5 + sqrt(77)\/sqrt(11) + sqrt(7) + sqrt(21)\/(sqrt(6)\/sqrt(2))).\nAnswer: -12 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23251*a**5 + 8*a**4 - 356648*a**2 - 2.\nAnswer: 1395060*a**2 + 192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 4, i: 8, g: 1}. What is prob of sequence io?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01792445082 to four decimal places.\nAnswer: 0.0179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 1\/90*i**5 + 0*i + 3*i**2 + 1\/36*i**4 - 2\/9*i**3 + 0. Suppose v(g) = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**5\/9 + 52*v**4\/3 - 3818*v**3\/9 + 3332*v**2\/3 = 0.\nAnswer: -98, 0, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d**(-2\/31)\/d)**(2\/45)\/(d*d*d**12*(d**(16\/5)*d)\/d) assuming d is positive.\nAnswer: d**(-7958\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frbbilifj. Give prob of sequence lb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170485, 340956, 511425, 681892, 852357, 1022820, 1193281?\nAnswer: 1363740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + 4 + (-4*sqrt(567)*-1)**2).\nAnswer: -54480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-7 + 10 - 7) + 11 - 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 + 678*j - 38203. What is o(119)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w. Let r(a) = -18*a**2 - 428*a + 428*a. Determine q(r(c)).\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/3)\/4*-50 and -51\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 7*f + 1. Let q = 117 + -130. Let k = q + 8. Determine m(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -47\/8984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 greater than -128\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 - 39*f. Let y(t) = -10*t**2 + 116*t - 1. Give 7*s(z) + 2*y(z).\nAnswer: z**2 - 41*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -185 - -222. Calculate the highest common divisor of q and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 9.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 849440573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-3)\/6 - 0). Let k(a) = y*a - 4*a - a**2 - a + 5*a - 4. Determine k(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(78\/(-4)) + 465\/65.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 6:15 PM?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 18602 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(32))\/sqrt(4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -243, -577, -1019, -1575, -2251, -3053?\n\"Answer: -m**3 - 48*m**2 - 183*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -7*z**2 + 105281*z + 105282. Determine i(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.5046 - 1.5060241. What is m rounded to five dps?\nAnswer: -0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 285.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5, 0 = 21*d - 9*i + 13*i + 62 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 10*f + 2. Let h be y(-7). Suppose -13*g + 3 = -h. What is the third derivative of -5*z**3 - 4*z**2 + 6*z**2 - 18*z**g + 30*z**3 wrt z?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2 - 2 - 99*m - 2*m**2 + 0*m**2 + 97*m. Let v(c) = 15*c**2 - 17*c - 17. Determine 51*g(h) - 6*v(h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -638*j**2 + 18*j - 4*j + 724*j**2 as s*j**2 + v + p*j and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4435135409 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*a**6*i**2 + 2*a**4*i**2 - a**2*i - a*i**2 - 5*i**2 wrt a.\nAnswer: -5400*a**3*i**2 + 48*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/1381764 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*d**2 - 1 + 4*d + 20*d**2 - 13*d**2 as t + w*d + z*d**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**3 - 93*z**2 = 0.\nAnswer: 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + q - 7. Let c be i(2). Suppose -4*x + 5028 = 2*u, -c*x + 31*u - 27*u + 3771 = 0. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = -15. Let d be 2\/(-2)*-2 - -1. Suppose -20 = -p - d*p. Calculate the lowest common multiple of p and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 - 1 = 0. Solve -3*b - 5*b - y*b + 2*b + 3*b**2 = 0 for b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1821 and 83\/6169548?\nAnswer: 6169548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = -20*l - 29. Suppose -2*u + l*p = -191 - 427, -5*u = -2*p - 1533. What are the prime factors of u?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*l = -5*k + 2, 0 = -2*k - 4*l + 10. Calculate the greatest common factor of 9 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -310670000 rounded to the nearest 1000000?\nAnswer: -311000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9520216, -9520220, -9520224, -9520228?\n\"Answer: -4*l - 9520212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 7800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99361.61999938 + 99361.04. Let d = -0.58 - y. What is d rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 - 2*b + 3*b**2 + 0*b**2 + (0*b + 3*b + 4*b)*(56*b - 2 + 48*b - 6*b).\nAnswer: 687*b**2 - 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w**2 - 258*w + 144. Determine b(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 411194 >= 411194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.861 - 0.139. Let y = 6.3 + p. Let x = -3 + 1. Which is the smallest value? (a) x (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1142504 (base 7) to base 11\nAnswer: -99a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/((-190)\/(-150)))\/(1\/1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4135)\/(-25) - 2\/5. Let a = p - 165. Solve a = -4*f - 1 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n + 28 - 3*n + n**3 - 10*n**2 + 6*n. Let r be k(10). List the prime factors of 544\/6 - (-28)\/r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + sqrt(396) + ((sqrt(396) + 1*sqrt(396) + sqrt(396))*-4 + sqrt(396) - sqrt(396)))**2*2*6.\nAnswer: 475200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 + -31 + -2. Let y = b - -248\/7. Let o = -236 - -219. What is the biggest value in y, o, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271 less than 7265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**3*w**2 - 196*f*w**2 - 795*w**2 wrt f?\nAnswer: 15*f**2*w**2 - 196*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 7*z = -3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.96447422 + -0.072.\nAnswer: -6.03647422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*p**2 + 1807*p + 4*p**3 + 14*p**2 - 3579*p + 1791*p.\nAnswer: 4*p**3 - 76*p**2 + 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43, -74, -75, -34, 61, 222, 461, 790?\n\"Answer: 2*b**3 + 3*b**2 - 54*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**3\/3 + 8*h + 1. Let o(j) be the first derivative of 6*j**2 - 2. What is t(o(u))?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -12*z + 33. Suppose -1092 - 6311 = -z*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 215928 and 6?\nAnswer: 215928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/189 and -18\/49.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.6 - -2.6. Let a = l + 4.2. Is a >= -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44746925 by -8949385.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 * 1.2\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4615167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a factor of 687800400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -9*f + 4. Let x(y) = -4*y + 2. Let a(d) = 3*l(d) - 7*x(d). Let h be a(-3). Let z = h - -9. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3585 (base 10) in base 15?\nAnswer: -10e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -43. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4536121.85 - 4543397.82998. Let w = -7285.98 - m. Let s = w + 10. Round s to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2526.1381216 + 0.1.\nAnswer: -2526.0381216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -12*o - 12. Let k be a(4). Let z = 61 + k. Is (z + -2902)\/((-69)\/161) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2712 - 2703. Calculate the highest common divisor of v and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*n**5 + 205*n**4 + 280*n**3 + 100*n**2.\nAnswer: 5*n**2*(n + 2)**2*(9*n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04904 + -0.34904. Which is bigger: -195 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -533426.\nAnswer: 3\/533426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 2:21 AM?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round 38.14688284 to three dps.\nAnswer: 38.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -21081780.\nAnswer: -2\/5270445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -25. Suppose l = -3*c + 55 - 8, 0 = t*l + 4*c - 86. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -974, -3898, -8772, -15596?\nAnswer: -24370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q + 24*q = 0. Let p be (-1)\/10*(-2)\/1. Which is the closest to p? (a) -2\/13 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 9*o**2 - 5*o - 18. Let b be t(8). Let h(j) = -4*j + j + b*j. Let r(c) = 16*c. What is h(r(s))?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(132) + (sqrt(132) + 1*sqrt(132) - sqrt(132)))*-4)\/((sqrt(588) + sqrt(588)*-1 - sqrt(588))*-4))**2.\nAnswer: 1100\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*i = r + 182, 3*i - 271 = 4*r. Does 5 divide (3 - (-7)\/(-2))*r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 31*z + 113. Let d(h) = -133*h - 10933. Let j be d(-82). Determine k(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*m = 62947 - 68797 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -382 + 8024\/21. What is the third biggest value in i, 1\/5, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q - 45. Let f be v(-8). Suppose f*t + 7 = -4*u, 4*t + 5*u = 2*t. Let l(p) = 33*p**2 - 2*p. Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + 2*j**2 - 3*j + 3. Let g(a) be the second derivative of -1\/12*a**4 + 6*a + 1\/20*a**5 - 1\/2*a**2 + 0 + 1\/6*a**3. Calculate 3*g(o) + u(o).\nAnswer: o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*o = 2*x + 32, -5 = -3*x - 5*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (-5*sqrt(196)*-1)\/(sqrt(448) + (sqrt(448) - sqrt(448)*2 - sqrt(448)))) + 3.\nAnswer: -5*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 16, j: 4}. What is prob of picking 3 j?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16248 and 278041192.\nAnswer: 5416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 14. Suppose w*t + 20 = 8*t. Calculate the remainder when t is divided by 5 - ((-27)\/(-36))\/((-6)\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.561837991 to 2 decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -363, -1469, -3311, -5889, -9203, -13253?\n\"Answer: -368*g**2 - 2*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -7. Calculate the remainder when l is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 2*s**2 - 6*s - 6. What is f(-3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - d**2 + 141. Let s be h(0). Let c(q) = 7*q**2 - 15*q + 38. Let b be c(4). Let j = s - b. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256*89\/(-956928))\/((-2)\/16)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36532 - -329315\/9. Suppose -2*v - 295 = 3*v. Let b = v + r. Is 1 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -5881\/2395 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 47 = 5*h. Suppose g + 3 = r - 0*r, -3*g - 9 = 0. Solve h = -2*f - r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -5 + (-114)\/(-2). Let y be (16\/(-20))\/((-2)\/j). What is the highest common factor of 33 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 101226.\nAnswer: 809808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 50858435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 424 = -5*t, -2*u + 5*t + 216 + 208 = 0. What are the prime factors of u?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 171715632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1878 + 25.9060682?\nAnswer: 1903.9060682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 4) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 + 0*p**2 - 5*p**4 - 2*p**2)*(-p - p + 0*p + (-3 - 3 + 4)*(-p + p + 2*p)).\nAnswer: 12*p**5 + 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 38*p - 1. Let f be o(-13). Suppose -f*l + 1675 - 199 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 - -1068. Let l = -812 - -212. Let x = l + c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 + -1.7. Let d = p - 0.9. Let h = -1.1 - -1. Which is the nearest to h? (a) d (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7593 - 135*z**3 + 7*z + 7592 + 496*z**3 to the form s*z**3 + v*z + o + i*z**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 38*v**2 + 159*v + 198.\nAnswer: (v - 33)*(v - 6)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*w**2 - 248*w**2 + 41*w**2 + 593177 - 593177.\nAnswer: -476*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651942020.\nAnswer: 2, 5, 131, 1393871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6154447 is divided by 384651.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6 + 48\/(-18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 82007*s + 1. Let i(d) = -2*d**2 + 5. Give g(i(x)).\nAnswer: -164014*x**2 + 410036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1 (b) 1\/3 (c) 6 (d) -4 (e) -12.5 (f) 0.284\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/71 or 3458?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4986 + -4985.9992054. What is p rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**5\/(j*j\/(j*j**(3\/4)*j*j))*j*j\/(j\/(j**(-2)\/j)*j)*j*j**9 assuming j is positive.\nAnswer: j**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37523499 and 570?\nAnswer: 375234990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 8:14 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/8 - -2*137\/560. Let h(t) be the first derivative of 0*t**2 + 0*t**3 - 1\/21*t**6 + q*t**5 - 1\/14*t**4 + 0*t - 5. Determine y, given that h(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*x**5 + 2*x**3 - 15*x**2 - 2*x**3 + 30*x**5 wrt x.\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 4, 40 in increasing order.\nAnswer: -107, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -521 + 1486. Suppose -2*b = -r - 0*b + 200, -3*b = -5*r + w. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 2*l**2 + 3*l - 5. Let r be b(2). Solve r = w + 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 - -1.12. Let h = 0.48 + w. Let j = 2 - 1. Which is the closest to j? (a) h (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 11*w**2 + 23*w + 12. Let d be f(-8). Suppose 0 = d*i + 2778 - 10458. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - j + 0*j + 7)*(16 - 19 - 63) in the form p + i*j and give i.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -224 in -0.03, -3, 2, -1.2, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -6*w - 2*t - 13, 6 = -2*w + t. Let c(i) = i**2 + 4*i. Let q be c(w). Suppose -v = -g + 2, -v + q*g = 2*v + 10. Solve 25 = -5*f - v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 10 - (-76 - -57)) + (-3 - -1 - 8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 13*t - 14*t + 5*i, t + 3*i - 9 = 0. What is the greatest common factor of 4188 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42380485 times 0.2\nAnswer: 8476097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o + 18. Let n be u(8). Let s be 12\/n*(-4)\/(16\/526). Is (3 - (-12 + 1))*s\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8923 take away 8471?\nAnswer: -17394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21175647114 and 0.\nAnswer: 21175647114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a**2 + a - 1. Let o(z) = -14*z**3 - 10*z**2 - 6*z + 12. Calculate o(n) + 12*r(n).\nAnswer: -2*n**3 + 2*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Suppose 3 = -w*t + 13. Suppose t*a = 9656 + 16344. What is a rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 + -155. Let g = -6 + 6. Suppose 2*h + 2*o - 10 = g, h - a*o = -o - 10. Calculate the lowest common multiple of 116 and h.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 3\/16*r**2 - 15\/2*r + 1\/8*r**3 - 18. Factor y(v).\nAnswer: 3*(v - 4)*(v + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2120 (base 4) to base 6\nAnswer: -412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*1 + 2 + (-5)\/(-35). Let d = 34.8 - 32. Let p = -3 + d. Sort p, n, -4 in ascending order.\nAnswer: -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 144*b + 5. Let g(n) = -1. Calculate 4*g(p) + i(p).\nAnswer: p**2 + 144*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15135735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 82*a**2 - 610*a + 1057. Determine o(-89).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 20 + 0*z**2 + 40 - 21. Suppose 0 = -u - 5*t - 4 + 40, -5*u = -2*t - 72. Let q(v) = 2*v**2 + 2*v**2 - u*v**2 + 18. Give 18*j(x) + q(x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 7 - 69*b**3 + 29 - 12.\nAnswer: -69*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**10\/8400 - w**6\/360 - 7*w**5\/60 + 7*w**2. Let q(t) be the third derivative of d(t). Differentiate q(c) with respect to c.\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28380139*i**3 + 17*i**2 - 282856 wrt i?\nAnswer: 170280834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 - 69 = -5*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + -11. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/4 - 22692*i**3 + 181557*i**2\/4 + 136161*i\/2 = 0 for i.\nAnswer: -30258, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 890 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 10:26 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 9:48 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (101 - 93 - (0 + 11)) - 9\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -19*z**2\/2 + 1263. Let h(w) be the third derivative of w**5\/10 + 2*w**2. What is h(n(q))?\nAnswer: 2166*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*o + 80*o - 7*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-6))\/((-7)\/(147\/14)). Solve b = j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -64*p**2 + p + 5. Let k(d) = -93*d**2 + 2*d + 8. Determine -5*k(n) + 8*r(n).\nAnswer: -47*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5859)\/270 + 144\/6 + -3?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 64*r + 822150 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 137 - 64 + 10*w**2 - 73.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -6.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49d (base 16) in base 15?\nAnswer: 53b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 3*c + 3. Let y be d(6). Suppose -3*b - 51 = -t, 3*t + 3*b - y = -2*t. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - (-5 + 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2 = 1, a + 4 = -3*z. Let s be 6\/(-21) - (-2924)\/(-105). Let k = s + 28. Put z, k, -2 in increasing order.\nAnswer: -2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43644 divided by -475?\nAnswer: 43644\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + (-6*sqrt(160))\/(sqrt(14)\/(sqrt(28)\/sqrt(4)))*2).\nAnswer: -240*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != -21634\/6283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-22)*(2 + 36\/(-15))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -156*j + 157*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*n = -4*y + 360*n + 944, -4*n + 1141 = 5*y. Sort 1, -6, y in descending order.\nAnswer: y, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -172, -561, -1172, -2005?\n\"Answer: -111*l**2 - 56*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, -1\/1643, -0.036, 2\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.01 - 0.39. Put t, -5, -1, 1 in decreasing order.\nAnswer: 1, t, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 57245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.98817 centuries in years?\nAnswer: 5998.817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {b: 2, v: 4, c: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -123199?\nAnswer: -123195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1128 + -1128.000002129. Round a to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 18. Let s = t - -10. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 67*c**3 - 12*c**2 - 25*c + 3. Let b be g(10). Suppose 0 = -10*i + b - 12943. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 3. Suppose 0*t + 4*t + 20 = 0. Is g(t) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32863 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -269\/524 + 810059\/16244. Let c = 21899\/124 - z. Let k = c + -128. Sort 0.5, 0, k in descending order.\nAnswer: 0.5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -77, -215, -427, -725?\n\"Answer: -2*f**3 - 19*f**2 - 5*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 130 = 7*k. Let z = k - -30. Suppose 0 = 4*d + 5*v - 16, -4*d - z*v = -0*d - 20. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7244*k - 6584*k + 13825*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 - ((-1 - -11) + (-181 - -177) - -6).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 523657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -61999*s + 372135. Calculate z(6).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*v = -246, v - 250 = -4*q - 0*v. What is the highest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -6. Let v be ((-3)\/h)\/(9\/24). Factor -3*u + 3*u**2 - 4*u**3 - 3*u**4 + 7*u**5 - 9*u**v + 11*u**2 - 2.\nAnswer: (u - 1)**3*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 420.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -69) + (-50 - -43 - 6) - 5\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20696 divided by -2\nAnswer: -10348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-5 - -6) + 2 - (-4 + 4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*d = 188*d + 83 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 (base 16) in base 13?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*d**5\/11 - 9590*d**4\/11 + 63548*d**3\/11 + 1517752*d**2\/11 - 1242256*d\/11 + 250240\/11 = 0. What is d?\nAnswer: -10, 2\/5, 17, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 640634023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 o when two letters picked without replacement from kooddoododf.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 + 4*z**3\/3 + 3*z**2 + 7*z + 114. Suppose -5*m + 3 = -22. Calculate i(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 11, p: 2, n: 1}. Give prob of sequence phph.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 228*0.03\nAnswer: 6.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - 28\/(-6). Let m be (2\/z)\/(1\/68). Suppose 14*c = -2*w + 17*c + 114, 5*w + 4*c - 239 = 0. What is the highest common factor of w and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + v + 1. Let u(c) = -456*c**2 - 467*c**2 + 918*c**2 + 4*c + 4. Determine -u(j) + 4*x(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -6)\/(5\/(-10)). Let k be (1 - 0)\/(((-5)\/(-45))\/(-1)). Which is greater: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -15311.\nAnswer: 61244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddgwdgg. Give prob of picking 3 g.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/27 and ((-207)\/1107)\/((-2)\/(-2))?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307360 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 30186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/9, -9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 6. Let k(o) = -6*o**2 + 13. Suppose -3*w + 9 = -q, 3*w + 8 + 1 = 4*q. Let c(y) = q*k(y) - 14*l(y). Find the first derivative of c(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6139\/318 + -81\/53. Let u = 2786 - 11057\/4. Find the common denominator of u and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - j**2 + 15. Let q be d(0). Suppose 67*p = 59*p + 40. Calculate the highest common factor of q and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581 - (2 - (-2 + -1)) a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q - 11*q - 12*q + 7*q + 2*q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 13520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -121 and -85692?\nAnswer: 10368732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2. Let t(d) = d - 21232. Give t(g(f)).\nAnswer: f**2 - 21232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2*1*2. Let u = -4652 + 4654. Calculate the remainder when r\/(-14) - 216\/(-21) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 254660 and 560252.\nAnswer: 2801260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6*p - 12. Suppose -p*c - c + 508 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -255842073, -255842076, -255842079, -255842082?\n\"Answer: -3*z - 255842070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.6 - -3.25. Let g = k - 0.7. Let s = 0.25 + g. What is the biggest value in 0.5, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -81*v**3 + 2*v**2 - 1. What is the units digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2298261548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 18*u**2 + 140*u. Let i be m(-6). Calculate the greatest common factor of i and 3396.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 7*y**5\/60 - 2*y**3 + 9*y**2. Differentiate w(o) wrt o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12*a - 9. Does 21 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 2*w**3 - w**3)*(2*w**2 + 3*w**2 - 7*w**2) - w - 98*w**3 + 98*w**3 - w**5.\nAnswer: -7*w**5 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 231.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -839\/56 less than or equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169415 by 155.\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-22\/7)*s**(-11) assuming s is positive.\nAnswer: s**(-92\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1219*r - 3294*r - 79638 + 51905 + 307539 for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 173.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1409 is divided by 175?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 - 6 - (0 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x**2 - 17760*x - 397975. Determine b(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -73.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/176 and -83\/10?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4181 = -639*j + 24*j + 11194 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -14*i**2 + 942. Let f(t) = 8*t. Give z(f(o)).\nAnswer: -224*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(w**3 + 2*w - 2*w) - 6 + 2*w - 2*w**3 - 2*w**2 + 6 - 7 to r + d*w**3 + z*w + h*w**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849899 is divided by 257?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/28 + (-3 - (-11944)\/(-28)). Let r = y + 3441\/8. Is r less than or equal to 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 239506760 to the nearest integer?\nAnswer: 15476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = q + 3*m, -4*q + 2*q - 4*m = -146. Let h = q - 87. Let u be (5000\/(-3))\/(-2 - h\/12). Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4213 - 2055 = -83*o for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 + -2.51.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + q**2 + q + 40. Let w be y(0). Let o be (-16)\/w*(-5)\/6. Sort o, 2, 0.2 in increasing order.\nAnswer: 0.2, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 172841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148465 and 13156.\nAnswer: 84921980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 12:11 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1536 and 32532.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27861?\nAnswer: 3, 37, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 16 = 6*h. Let t = 3 + h. Let g(b) = b**3 - 6*b**2 - 7*b + 4. Give g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3036 - -66.\nAnswer: 3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 - 18. Suppose -k*g + 6*g = -18. Let f(x) = -x**3 - 6*x**2 + x + 3. Let y be f(g). Let m(w) = -3*w - 1. Calculate m(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -336, -896, -1710, -2796?\n\"Answer: -3*s**3 - 100*s**2 - 3*s + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 52383 - 52383 - 3*f - 255*f**2 as x*f + s + j*f**2 and give j.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528 = -2*y - 25*l + 49*l - 17*l, -y + 50 = 2*l - 93 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (453\/(-27) + 17)\/((-2)\/(-126))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 1462?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -4.7164\nAnswer: 3.77312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f = -3*j + 2311, j - 742 = -5*f. Which is bigger: 769 or j?\nAnswer: 769","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983214 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -39, -51, -57, -57?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4934850 divided by 15\nAnswer: 328990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2122121110 (base 3) to base 2\nAnswer: 1100101111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 137\/(-411)*1*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -1, 6\/68023 in descending order.\nAnswer: 6\/68023, -1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -413 - 250. Let w = -64 - g. Let y = w + -599.00351. Round y to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u - 67. Let d be r(-10). Solve h - d = 4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*m. Let q(l) = -1 - 3 - l + m. Determine q(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -122*t. Let p(y) = 789*y. Give n(p(k)).\nAnswer: -96258*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 8*f**2 + 7*f. Let p be s(-7). Suppose p + 3 = 3*c. Find the second derivative of -2*i**5 + 1 - i - i**5 - c wrt i.\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/22 + 67\/66. Let c be (-104)\/(-1092) + (-64)\/231. Let y = 3 - 3. What is the closest to 0 in c, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, l: 2}. Give prob of picking 1 a and 1 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5831 and 2261?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 152344 - -2031173\nAnswer: 2183517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43530.3 and -0.3?\nAnswer: 43530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4269 in -0.1, -13, 121?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 0*c**4 + 64*c**2 - 101\/15*c**6 + 2*c - 73 + 0*c**3 + 0*c**5. What is the derivative of w(q) wrt q?\nAnswer: -808*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(10)\/(sqrt(2)*1) + (-1*sqrt(45))**2 + sqrt(5) - ((sqrt(45) - sqrt(45)*2)*3 + sqrt(45))\/(sqrt(729)*-2)).\nAnswer: -132 - 17*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 56086 = 4*r, -146*m + 141*m - 4*r + 56134 = 0. List the prime factors of m.\nAnswer: 2, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 10193a4?\nAnswer: 10193a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -4.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 16*l**2 - 6*l + 19. Is d(24) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - f - 1560 = -6*f, -4*h - f = 3164. Let p = -230 - h. Does 40 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 463242375.\nAnswer: 3, 5, 29, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -156*c**4 - 2 - 4*c - c + 6*c + 142*c**4 in the form k*c**2 + w*c**4 + n + v*c + t*c**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwvwcqd. Give prob of picking 1 q and 1 d.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7.6+0.95\nAnswer: 8.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73379206.\nAnswer: 2, 311, 117973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.04 + -39. Which is the closest to 2\/5? (a) -7 (b) u (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = l - 6 + 2, -5*b = 3*l - 9. Suppose -b*a - 4 = -2*a, -4*q + 28 = 5*a. Suppose -i - 3*i - 3*m + 45 = 0, -2*i = -2*m - q. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 76 - (13034 + -13027).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/(-10)*(-40)\/7. Let r be d*((-3)\/6)\/(-1). Suppose r*y = 8*y + 106. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4290)\/(-21) + (-7)\/(-147)*-6 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 17*r + 17. What is h(-5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-90)\/12)\/(-15) - 18\/(-4). Let -9*z**4 - 6*z**3 - 43*z**5 + 87*z**5 - 47*z**p = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 1. Let c be -2 + 0 - (2 - 5). Let z(x) = 2*x**2 - 2*x - 1. Let l(r) = c*q(r) + z(r). Let g be l(2). Solve h + g = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 13.8 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 8\/(-16) - 39\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78569727.\nAnswer: 3, 26189909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(110)*-4)\/sqrt(10) + -6*(2 + sqrt(1584)).\nAnswer: -76*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 5 - 5*b)*(3*b + 4*b - 5*b).\nAnswer: -10*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*f - 33*f = -609 - 387 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-10)\/5)\/1*(-72)\/32.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 - y + 73. Let z be n(0). Suppose -3*a + r - z = 0, -2*a - 19 = 3*r + 26. What is the units digit of a*1*14\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u = 0. Suppose u*s + 3*s = 531. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.0258 to one dp.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 at most 90778\/567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + 3. Let p(w) = -15*w - 8. Let s(i) = 8*g(i) + 3*p(i). Let u(d) = -d**2. Calculate u(s(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16 + -8)*5\/(2 + 18). Which is the nearest to 1\/5? (a) -2 (b) p (c) 12 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 12. Find the first derivative of -2*u**2 - a + 6*u**2 - 8 + 12 wrt u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f - 2*f)*(1882 - 3849 - 4*f + 1811).\nAnswer: 12*f**2 + 468*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4.9. Let o = 5.6 - 5.31. Let i = 0.11 + o. Which is the third smallest value? (a) r (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-52 - 34 - 6)*((3 - 1 - 1)*(0*r + 2*r - 4*r) - 1 + 1 + r).\nAnswer: -92*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = f - 2*d + 19, 4*f = 4*d - 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 506, 757, 1008, 1259?\nAnswer: 1510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*a - 2970082 - 1056787 = -50*a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256403220*m**6 - 19*m**2 - 105*m + 1142.\nAnswer: 30768386400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*a**3 + 2*a - 294*a**3 + 1 + 147*a**3 + 2*a**4 as w*a**3 + k*a + i*a**2 + m + b*a**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 37328*q - 87086224.\nAnswer: -4*(q - 4666)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000082797 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 572.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 582 - 565. Find the second derivative of 125*d + 163*d**2 + b*d - 379*d - 5*d wrt d.\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/20920 and 151\/83345280?\nAnswer: 83345280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, u: 1, c: 1, m: 3}. Give prob of sequence cc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*f = 44*f + 47*f - 440 for f.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3754168255?\nAnswer: 5, 1987, 377873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8092 divided by 3.\nAnswer: 8092\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -419583.391 to the nearest 100.\nAnswer: -419600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 5*q - 23, -q - q = 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 5*j = -13*p - 21, -5*j = 3*p - 31. Which is the nearest to -10? (a) -1 (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 339 by 4.\nAnswer: 339\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 - -105. Let c be -10*(-3 - (-12)\/5). Put c, 4, u in descending order.\nAnswer: c, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (4 + sqrt(68) - (4*sqrt(17) + 0))**2).\nAnswer: -96*sqrt(17) + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122, -199, -254, -317, -418, -587, -854, -1249?\n\"Answer: -5*v**3 + 41*v**2 - 165*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -61\/2, -3, -0.08, 1, -12 in descending order.\nAnswer: 1, -0.08, -2\/3, -3, -12, -61\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 2 - 0)\/2. Let f be ((-15)\/(-12))\/(1\/(-12)). Let c be (-2)\/(-2*f\/6). Sort 1\/2, z, c.\nAnswer: c, 1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)\/(z\/((z*z**(-1\/5)*z)\/z))*(z*(((z\/z**2)\/z)\/z)\/z)\/(z\/(z*z**(-4))))\/((z\/(z**(-3)\/z)*z)\/z**(-7))**2 assuming z is positive.\nAnswer: z**(-503\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 6:57 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1472, 1666, 1864, 2072, 2296, 2542?\nAnswer: 2816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7000, -14002, -21004, -28006, -35008?\nAnswer: -42010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29287, 29315, 29343, 29371?\nAnswer: 29399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4*(sqrt(2736) + -1*sqrt(2736))**2*2)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/(-2) + 36\/(-72). Suppose -b - 4*b = -20. Solve -3*f - 2*j + 1 = b, 3*j + z = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssssrsssssssss. What is prob of sequence sssr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*7\/21*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 35. Suppose x*p - 24 - 4 = 0. Let r be (-2 + p)*112\/20. Calculate the greatest common divisor of r and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13\/((-3)\/((-18)\/2))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70160 and 5200?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1001 = -1085*z + 1162*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 + -2.7. Let m = -4 - h. Let z = -0.1 - -0.1. Which is bigger: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 21 = 3*a, 0*a = -3*h - 11*a + 10*a + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 + 22)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731805 to the power of 1\/2, to the nearest integer?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29 and 89784.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/95*-10)\/(2 + 2\/6)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333402 by -31.\nAnswer: 333402\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -29*d - 41. Let o be g(-1). Let m be -4 + 1 - (o + 12 + -5). Is m not equal to 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11 = -5. Let o be 117\/(-52) + (-2)\/i. Let s = -662\/3 + 222. Which is the closest to -1? (a) s (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*s**3 + 94*s**3 + 78*s**3.\nAnswer: 212*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 1\/21*h**3 + 1\/105*h**6 - h - 1\/42*h**4 + 0*h**2 - 1\/70*h**5. Factor k(q).\nAnswer: 2*q*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/(-36) + (-29)\/(-4). Let s be 3 + 1 - k - -269. Let i = 380 - s. Calculate the greatest common factor of i and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*m + 0*m + 2*m + (6*m + 12 - 12)*(1 + 0 + 1).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(931) + -3)*5)**2 + ((sqrt(931) - (sqrt(931) - ((sqrt(931) - (sqrt(931) + 1 + sqrt(931))) + -3)))**2 - sqrt(931)) + 1 + -3.\nAnswer: 49*sqrt(19) + 24220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 3*h + 2. Suppose -6*l + 9 = 2*q - 3*l, -3 = -4*q - l. Suppose q*k + 20 = 5*k, -v - 162 = -5*k. Let s = 146 + v. Calculate u(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1039*t**2 - 64*t + 256. What is the ten thousands digit of n(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -585\/8 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 86, -380, -1944, -5248, -10934, -19644, -32020, -48704?\n\"Answer: -107*x**3 + 93*x**2 + 4*x + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o + 5. Suppose 2*t - 10 = -o*h, 0 = 2*h + h - 4*t - 2. Suppose 3*m + h*s + 0*s - 195 = 0, -5*m + 4*s = -325. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53403356 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 20128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = -8*x. Sort -4, -0.5, x in decreasing order.\nAnswer: -0.5, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2693470?\nAnswer: 2, 5, 13, 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.08718 - 461.\nAnswer: -459.91282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 4) + (0 - (2 - 2)) + -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*c**2*v**3 + 1119*c**2*v**2 + 5*c**2*v - 13*c - 46622*v**3 wrt c.\nAnswer: 16*v**3 + 2238*v**2 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 times 7\nAnswer: -1.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(1\/5)*s**5)\/(s*(s\/(s*s**(3\/5)))\/s*s*s**(-6)))**(27\/2) assuming s is positive.\nAnswer: s**(837\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 76, 162, 302, 508?\nAnswer: 792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -0.8. Which is the third smallest value? (a) g (b) -4\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 156 + 166 - z - 305. Let x be t(-26). What is the third derivative of -2*g - x*g**5 - 793*g**2 + 6*g + 798*g**2 - 2*g wrt g?\nAnswer: -2580*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -3563583.\nAnswer: 7\/3563583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**3\/13 + 14*o**2\/13 + 10*o\/13 + 2\/13.\nAnswer: 2*(o + 1)**2*(3*o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p**3 + 39*p**2 - 85*p - 42. What is v(8)?\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 - 160. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5863*i**4 + 3432.\nAnswer: 23452*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 4*r + 7. Calculate the smallest common multiple of (-30)\/(-18)*18\/15 and v(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14\/(-21))\/(2\/(-558)). Suppose 4115 - 6843 = -22*t. Calculate the greatest common factor of l and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 greater than -4330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - (-6)\/4. Suppose -3*j + 396 = -3*d, -2*j - x*d = 3*d - 264. Suppose 15*y - j = 12*y. Calculate the greatest common factor of 308 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7284734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 2*f - 4. Let x(n) be the third derivative of n**4\/24 + n**3\/6 - n**2 + 3*n. Calculate h(o) + 2*x(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*u + 17, -3*u + 4*a + 23 = -0. Let m(c) = c**3 - 8*c**2 + 7*c + 2. Calculate the least common multiple of u and m(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(((3*sqrt(1900) + sqrt(1900))*-1 + 4*sqrt(1900) + 4)*-5)**2 + 0).\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.9 and -77.\nAnswer: -300.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -33*u - 33. Let l(a) = -a**2 - a - 1. Let b be (-99)\/(-2)*(-62)\/93. Give b*l(i) + n(i).\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 90843 and 5.\nAnswer: 90848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-6) + (-14)\/21. Let h(a) = -a**2 - 8*a - 9. Let c be h(z). Factor -4*j**2 + 2*j**2 + c*j - j**2.\nAnswer: -3*j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3153, 6351, 9547, 12741, 15933, 19123, 22311?\n\"Answer: -y**2 + 3201*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q - 71. Calculate s(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2081, 2080, 2079, 2078, 2077, 2076?\nAnswer: 2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 110. Let f be (t\/(-5))\/1 - 648\/(-120). Suppose -6*r + 5*r = 2*g - 2, 5*g + 5*r = -f. Solve 4*m = g*m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11\/6)\/(o*o\/o**(-1\/21)*o))**(2\/5) assuming o is positive.\nAnswer: o**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -233*w**2 + 12*w + 8. Suppose l = -0 - 8. Let g be r(l). What is g rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57251 is divided by 19079.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/((-12)\/(-81))*-1. Solve 3*a - 2*a + 9 = 3*f, 3*f = -5*a + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20234 + -2311224?\nAnswer: -2240440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 5*b + 5 + 18*b + 4*b**2 - 6*b - 8*b. Give p(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/2))\/i*i*i)\/i**1)\/((i*i**(1\/10)\/i)\/i)**(-18) assuming i is positive.\nAnswer: i**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 118456427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 11*g + 282. Let u = g + 39. Let a = u + 63. Which is smaller: a or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c - 5*w + 309, 5*w + 375 = 5*c. Let g = -40 + c. Calculate the highest common divisor of g and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7763.646 - -7770. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -224 + 311. Calculate the least common multiple of 3 and j.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**5\/17 - 10576*q**4\/17 - 6006458*q**3\/17 - 944964596*q**2\/17 - 12361041280*q\/17 - 42258879488\/17 = 0.\nAnswer: -4666, -304, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -851022 + 858422.61. Let l = h - 7354. Round l to the nearest integer.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033874 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 308\/21887 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 1. Let g(h) = 6*h**2 - 8*h - 3. Let s(m) = 7*m**2 - 9*m - 4. Let w(a) = 5*g(a) - 4*s(a). Calculate 2*f(k) - w(k).\nAnswer: -2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 16 = 4*s, 4*u - 3 = u + 3*s for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + j + 4*j - 10)*(-6*j**3 + j**3 + 4*j**3 + j**3 + 0*j + 0*j + (j + 3*j - 6*j)*(2*j**2 - 4*j**2 + j**2) + 8*j**2 + j**3 - 8*j**2).\nAnswer: 15*j**4 - 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 135*z - 360*z - 387*z + 9 in the form i + v*z and give v.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from dfawddhdfdhd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 47365347 + -1559\nAnswer: 47363788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 c when three letters picked without replacement from {c: 2, b: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -71. Suppose 48 = -4*m - 68. Let j = w + m. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119247483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 + 2*x + 3. Let j be v(5). Let t be -198*(-2)\/((-156)\/j). Let s = t - 19407\/130. What is the common denominator of s and -25\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1112384 is divided by 11588?\nAnswer: 11524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25619.\nAnswer: 11, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 54\/10 + (-8)\/20. Suppose -k*a + 82 + 33 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g - 1105 = -48*g. Calculate the greatest common factor of g and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k + 160 = -146 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323 = 18*n + 107. Solve 41 = n*s - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000104654 rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15385283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -82. Let r = 30.8 - u. Let x = 12 - 23\/2. What is the nearest to -4 in r, x, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, p: 2, n: 1, w: 6, f: 3}. Give prob of sequence pfuf.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 16)*(-3*x**4 + 2*x**4 + 12*x**3 - 7*x**3).\nAnswer: -14*x**4 + 70*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.348 or 0.062029?\nAnswer: -1.348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 377653056*y**3 - 1353733*y**2 + 24*y - 2?\nAnswer: 2265918336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1122185309*r + 661012742 wrt r.\nAnswer: 1122185309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**5 + 0*j**5 - 2*j**5 + (-364*j**2 + 3768 - 3768)*(-3*j**3 + j**3 + 3*j**3).\nAnswer: -363*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-95)*((-39)\/18 + 3\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -64652.\nAnswer: 57\/64652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a hour in minutes?\nAnswer: 1710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i + 31*i - 1043 = 0. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerkekrerze. Give prob of sequence kek.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3920 and 15806960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 658.896 centuries?\nAnswer: 65.8896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/29532 and -97\/3966?\nAnswer: 19520652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -4, -7, -14?\n\"Answer: -2*i**2 + 7*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.054 at most as big as -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18273916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157750 is divided by 698.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-21)*-1 - (-86 + 85).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 153 - 147. What is the lowest common multiple of r and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 1242*t**2 + 51280*t - 8. Give i(40).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3) - 15\/27. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(4\/(-6)*-3). Let t = 1469 + -1474.036. Let x = t + 0.036. What is the smallest value in x, c, -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 204*y**2 + 394*y + 600.\nAnswer: 2*(y - 100)*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 252 = -4*u, -5*u + 298 = 2*f - 0*f. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(40)\/sqrt(4)))**2*-1 + (sqrt(17) - (sqrt(17)*-1 + -2)) + (sqrt(68)\/sqrt(4) + -2)**2 + -1.\nAnswer: -2*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - (-35232)\/384 - 2\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 + 13*l + 13. Let p(c) = -c - 2*c - 3 + c**2 - 2*c**2. Let b be (55 - (-3 + 6))\/2. Let r be (-13)\/(-2) - (-5)\/(-10). Give b*p(s) + r*d(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kukuk. What is prob of sequence uuk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*n**5*q**2 + 25472*n**2*o - 3*n*o*q - n*o + 4*n*q**2 + n*q + 2*o*q - 272*q wrt n?\nAnswer: 160*n**3*q**2 + 50944*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -810 - -814. Solve -6*h = -h + j*u + 25, 0 = -h - 4*u - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h - 62*h + 4*b = 9, 0 = -b - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 8.6085?\nAnswer: -43.0425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m - 15*m - 11 + 2 + 10. Let o(g) = -15*g + 2. Calculate -13*n(x) + 6*o(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b + 3*b**3 + 0*b**3 - 11*b)*(-1 - 1 + 0) + 1 - 1 + 2*b**3.\nAnswer: -4*b**3 - 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 4:01 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137909, -137757, -137503, -137147, -136689?\nAnswer: -136129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*w + 50, 3*w - 2*b + 4 = 29. Suppose -m - 2*m + 47 = 2*s, 4*s = 4*m - 36. What is the remainder when m is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/7 - 14550*a + 3159272\/7 = 0.\nAnswer: -50956, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 - 13*a**3 + 17 + 10*a**3 - 62.\nAnswer: -15*a**3 - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36139243.\nAnswer: 7, 5162749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*r + 3*m + 2 + 3, -6*r + 15 = 3*m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b2 + -c29c5?\nAnswer: -c2913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 581 - 2895\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 3:11 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-12)\/(-681))*(-2255)\/328. Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123 (base 11) to base 4\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237623 is divided by 211.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - 22. Let b be (-105)\/n + 2\/(-5). Let a be (b - 14\/16)\/(16\/(-32)). Put 0, 2, a in descending order.\nAnswer: 2, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 767.5284 centimeters?\nAnswer: 7.675284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/17, -1\/27, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2. Suppose 5549 = c - 5*o + 3*o, 11054 = 2*c + 7*o. Suppose c = -a*x + 3*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53.236? (a) 2\/15 (b) 1\/8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/30 + z**5\/60 + 7*z**2. Let h be f(-1). Suppose -h*g + 627 = m - 3553, 2*m - 10 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - ((-8)\/(-4) + 0). Suppose -b*j = -19 - 1. Calculate the least common multiple of j and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -12) + (-1 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/(24\/(-72))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*h*o**3 + 10*h*o**2 + 1240*h*o - h + 1347693*o**5 + 6*o**2 - 40*o - 2 wrt o?\nAnswer: 150*h + 80861580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*r + 12 = 2*i + 151*r, 3*i - 17*r + 2 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -59653 (base 13) in base 11?\nAnswer: -101a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Express -15*v**4 - 4*v**3 + 92 - v**2 + 94 + 7*v**2 + 2*v**3 - 183 as p*v**3 + a + s*v + c*v**2 + f*v**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5 - 1 + 14 - 4 + 2 - r. Let k(b) = 3*b - 17. Let o be -8 + 2\/4*4. Give o*k(i) - 17*w(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -149, -196, -29 in decreasing order.\nAnswer: -29, -149, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -22265\nAnswer: -18\/22265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 12 = 10*h. Let z(f) = -f - 13. Let c(p) = 12. Let t(j) = -6*c(j) - 5*z(j). Is t(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 18*x + 10)*(11 - 2*x - 11) + x**2 + x**2 - 4*x**2 + (-x + 2*x - 3*x)*(2*x - 2*x - 10*x) to the form z + b*x**2 + l*x and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30, -51, 0.4, 2\/9, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 15) to base 3\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-1 - -6)\/5. What are the prime factors of (70\/(-15))\/(b\/3 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -t - 39, 5*p - 3*t = 96 - 139 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*p**4*x - 2*p**4 - p**3*x - 4*p**2*x - 2*x wrt p?\nAnswer: 1848*p*x - 48*p - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 1. Let s be w(2). Let n = s - 5. Is (-2354)\/n - 15\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -927 + 936.02. Let t = -0.02 + r. Let x = -5 + t. Put 1, x, -3 in ascending order.\nAnswer: -3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 3*s. Let i be j(-2). Let t(h) = 1 + 19*h**3 - 20*h**3 + h**2 - h - h**2. Let u(r) = -r**3 - r. Give i*t(w) + 3*u(w).\nAnswer: -w**3 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p. Let a(g) = -5159*g**2. What is a(u(j))?\nAnswer: -128975*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n - 25. Determine g(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, z: 7}. What is prob of sequence zl?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000533986762 to 7 dps.\nAnswer: 0.000534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360664463.\nAnswer: 59, 443, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 58 = 348. Let h = 2768 + -2515. Let c = h - r. Is c a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 3*v - w, 2*v = v + w + 75. Let p = 84 - v. Factor 2\/11*x**3 + 0*x**2 + 0*x + 0 - 2\/11*x**p.\nAnswer: -2*x**3*(x - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3321 + 3321. Let s(g) be the third derivative of 0*g + 0*g**4 + 5\/3*g**3 + 1\/30*g**5 + h + 11*g**2. Differentiate s(z) with respect to z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/882 and 38\/21.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5904, 5908, 5912, 5916, 5920, 5924?\nAnswer: 5928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1358\/57 not equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*v + 2*g**2 + 1722707*g + 448111936*v with respect to g.\nAnswer: 2*g*v + 4*g + 1722707","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 4:14 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35828 is divided by 34.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 559, -6, -5, -122, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 20220202021011?\nAnswer: -20220202021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*q + 1399 + 237, t = q + 540. List the prime factors of t.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - b + 16 = 3, 15 = t - 5*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-3213))\/(11\/(-99)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740130.655 rounded to the nearest ten?\nAnswer: 740130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -121*y + 609. Determine d(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1783606\/675 or -2643?\nAnswer: -1783606\/675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370009308?\nAnswer: 2, 3, 271, 113779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(1\/(-30*(-20)\/(-240)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 18. Solve 0 = -5*m + 3*v, 2*m - 5*v = p*m - 37 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 - (18 + -3 + -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44.8 + 5.8. Let h = n + 38.9985. What is h rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 26*b = -286524. What are the prime factors of b?\nAnswer: 2, 3, 7, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -65 (c) -5\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 896, 1777, 2638, 3479, 4300, 5101, 5882?\n\"Answer: -10*y**2 + 911*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02359 rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86 and 528298?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 49*s**2 - 150*s - 292. Let u be m(52). Solve 3*i - 3*x + 5 = 2, 0 = 5*x + u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -27158, 3, -3\/5 in increasing order.\nAnswer: -27158, -3, -3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 2221112?\nAnswer: -2221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 940905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 62*z + 64*z + 47 = 0, -4*d = 3*z - 31. Solve -5*w = d*w - 108 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/3 - (-3)\/9. Let y = -517.4 + 562. Let a = -49.6 + y. What is the nearest to -9 in k, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (483\/6)\/(-7)*-10. Let h = y + -55. What is the highest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 + -60. Let h be (6\/10)\/((-2)\/10) + l. Suppose 0 = -4*x - h. Which is the closest to x? (a) -3 (b) 0.07 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45362?\nAnswer: 2, 37, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8012*d + 176753. Determine l(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2077 <= -2077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 216*d + 1858. Calculate m(-9).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -65. Let k = z - -23. Suppose -f - d = -46, k*d = 2*f - 67 - 30. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-530)\/371 - (-283)\/7. Which is smaller: n or 29\/4?\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((-4*((sqrt(200) - (-1 + sqrt(200) + sqrt(200) + sqrt(200))) + sqrt(200))**2 - ((1 + sqrt(200))**2 + 3)) + -3 + (-5*(-1 + sqrt(200)))**2) + 4.\nAnswer: -1760*sqrt(2) + 16058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 8966.\nAnswer: -179.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/5 (c) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.115*7.054\nAnswer: -0.81121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21644, 43281, 64918, 86555, 108192?\n\"Answer: 21637*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9101 + 9086 + 3*k**3 + 4*k**4 - 2*k**3 + 6*k**4 to the form f*k**4 + j*k**2 + x + a*k + d*k**3 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3445.8 rounded to the nearest 10?\nAnswer: -3450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16*357\/(-3264) - -2. Let z = -7 + 2. What is the closest to a in -0.19, z, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 3*h - 29. Let n = -30003 + 30008. What is t(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 - (-4 - (-5 + 4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**5\/3 + 4685*l**4\/3 + 552170*l**3\/3 + 11478640*l**2\/3 + 87134080*l\/3 + 226124800\/3 = 0.\nAnswer: -803, -110, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 42. What is the tens digit of h\/((-39)\/2)*1110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(-2 - 31818\/15). Let p = f - 148545\/14. Find the common denominator of p and -25\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0 - 2\/5*s**2 - 38*s = 0.\nAnswer: -95, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 748 - 732. Calculate the least common multiple of ((-16)\/(-6))\/((-4)\/24*-4) and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865673795?\nAnswer: 5, 7, 41, 603257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 71 - (7 - (15 - (-6 - -21)))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15) + (-128)\/30. Let b be (-1670)\/525*(-3 + 1). Let y = b + o. Is y equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34052, -33028, -32022, -31034?\n\"Answer: -9*n**2 + 1051*n - 35094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -70*w + 2. Let o(m) = 186*m - 5. Calculate -21*d(g) - 8*o(g).\nAnswer: -18*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432925 divided by 432925.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-1 + (-4)\/(-3)). Let d be ((-2)\/(-6))\/(z\/(-45)). Solve -3*w + 4 = -d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -20572620*t. Let m(c) = 3*c**2. Calculate d(m(s)).\nAnswer: -61717860*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*v + 625, 4*v = 3*o + 3*v - 955. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37308301 to the power of 1\/2, to the nearest integer?\nAnswer: 6108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*i**5 - 3578*i**4\/3 - 34006*i**3\/3 - 35994*i**2 - 41148*i - 7488 = 0. Calculate i.\nAnswer: -3, -2\/9, 208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21581?\nAnswer: 7, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 41, 112, 241, 446?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -117 + 118. Let g(j) = 21*j**3 + j**2 - j. Let b be g(n). Solve 0 = 2*y + 3*u + b, -2*y = -3*y - 5*u - 28 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -8d9348d?\nAnswer: 8d93495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 59 = -347. Suppose 0 = 2*i + 2*z - 64, -3*i + 2*z = z - 96. Calculate the remainder when i is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**6\/120 - p**5\/20 + p**4\/12 - 2*p**2 + 5. Let z(o) be the second derivative of j(o). Find v, given that z(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 269*q + 1385 + 5609 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*(14 - 19) - 2\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 - 37*u.\nAnswer: -37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of 2*c**5\/35 - 2*c**3\/7 - 2*c**2\/7 + 80. Factor b(x).\nAnswer: 2*x*(x - 2)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkbf when four letters picked without replacement from {k: 2, f: 9, b: 7}.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 12. Let x be (-6)\/(-9) - (-12)\/z. Solve x*v - 12 = 5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 21 = 3*m, 2 + 29 = 4*m - 5*t. Suppose -j + 3*a = -a - 18, 0 = 4*j - m*a - 12. Put j, 5, -3, 4 in descending order.\nAnswer: 5, 4, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 17*f - 19. Determine z(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 9 + 6 + 11*q with respect to q.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*z = -0*z - 312, 0 = -2*z - 6. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 386 + 2486 = 0. Let t(w) = 3*w**2 - c + 178 + 0*w**2. Let h(b) = 4 - 3 - 2. What is 3*h(z) + t(z)?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.044 + 5.256. Let k = -5.29999784 + m. Round k to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66534\/(-2079) - -32)*-9.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1. Let a(q) = -q - 7. Determine -2*a(z) + 2*w(z).\nAnswer: 2*z + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 - 141 + 109)*(-f + 2 - 2)*(5 - 2 - 1).\nAnswer: 220*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -356*r**6\/15 - 109*r**4\/4 - 211*r + 1. What is the third derivative of g(x) wrt x?\nAnswer: -17088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370098 divided by -522.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 7*x**2 - x - 6. Let q be k(-7). Let j = -12 + 18. Let n be (0 - j)\/(-1 - 1). Put q, n, 5 in descending order.\nAnswer: 5, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 200580720?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-9*22\/(-99)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 19*a - 16*a. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (32172\/2100 - 14\/10)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -411.4 * 8317\nAnswer: -3421613.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -190166, -190159, -190150, -190139?\n\"Answer: v**2 + 4*v - 190171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37847 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/30408 and 13\/174846.\nAnswer: 699384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17\/42 - 1\/14. Suppose 137*u - 144*u + 3969 = 0. Let i = u - 2831\/5. What is the third smallest value in -1, 1, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 5*n, -n - 1 = s - 3. Let p(l) = 3*l**2 - 21*l + 27. Let u be p(s). Let w = 0.1 + 0. What is the third smallest value in -2\/15, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89360552 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*n**2 - 35*n + 16*n**3 + 43*n - 2 + 4*n**4 + 2.\nAnswer: 4*n*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let b = 41 - 13. What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 495103431 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.09026.\nAnswer: -0.04513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -1\/3, -481.03?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7105982 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242487?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 66.19 - 1.19. Let c = r + -65.5. What is the nearest to 0.4 in 0, c, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 7*b + 4. Let o be v(6). Suppose 3*i - 4*l + l = 21, 5*l = i - 15. Suppose -7 = -i*d + 13. Solve -10 = -d*f + o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (1 - 13 - -28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**3 - 2329*m + 2329*m.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358655*k**3 - 358663*k**3 - 358656*k**3 + 1434636*k**3 - 358665*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -11000122110?\nAnswer: -11000122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24015, -192587, -650133, -1541139, -3010091?\nAnswer: -5201475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 3*t - 481. Let c(m) = -3*m**2 - m. What is -a(j) - c(j)?\nAnswer: 2*j**2 - 2*j + 481","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 13*q - 7. Let p be 56\/(-64)*2*(15 - 11). Let v(s) = 2*s**2 + 14*s - 8. What is p*a(h) + 6*v(h)?\nAnswer: -2*h**2 - 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22883 by -3269.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3290*k**2 + 14604*k**2 + 82698*k**2.\nAnswer: 94012*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((10608\/26)\/(-34))*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/3, -0.5, -2, -301, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 524*m - 505*m - 361 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6922 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 167 and -2?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 9*q**2 - 10*q + 11. Calculate the remainder when 30 is divided by p(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2355474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3 - (-4)\/(-6). Suppose 10*f - 32900000 = 3*f. Suppose f = -y - i*y. Round y to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2 + 3*f. Let w be s(1). Solve 0 = 4*g + z + w, 0 = g + g + 5*z + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -338.02 + 334. Let x = -0.02 - o. Let q = 0.1171 + -0.3171. Which is the nearest to 0.1? (a) x (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:57 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/6 + 8*c**3\/9 + 4*c**2\/3 - 5. Factor w(m).\nAnswer: 2*m*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 21. Let i = p + -1. Calculate the smallest common multiple of i and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 492\/21 - 3\/7. Calculate the greatest common divisor of j and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 15. Suppose -4*x - 4*w + w + 6 = r, -3*w - 15 = -3*x. What is the third derivative of -1 + 1 + x*j**2 + 8*j**6 - 2*j**2 wrt j?\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 2012822.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/7*o + 2\/7*o**3 + 4\/7*o**2 + 0 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 41299?\nAnswer: 330392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/24 - u**3\/2 - 184*u**2 + 3*u. Let s(n) = -1. Let x(f) = -f - 4. Let y be x(-5). Determine y*d(p) - 4*s(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 - 35*v. Let u(t) = 13*t**2 - 69*t + 1. Let r(q) = -6*u(q) + 11*y(q). Let w be r(12). Calculate the greatest common divisor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**4 - 5028*i**3 - 9*i**2 + 15078*i + 10056 = 0. Calculate i.\nAnswer: -1, 2, 1676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(-11 - (-70)\/7).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 19*g**2 - 7*g - 47. Let y be z(-19). Calculate the highest common factor of 817 and y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -65551, -131095, -196637, -262177, -327715, -393251?\n\"Answer: o**2 - 65547*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 - 960*d - 4685 - 5*d**2 + 240*d**3 + 4697 + 4*d**2.\nAnswer: 3*(d - 2)*(d + 2)*(80*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) - (sqrt(153) + 3))*1)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.7259.\nAnswer: -0.58072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00463505098 rounded to 5 dps?\nAnswer: -0.00464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3312, 3315, 3318?\nAnswer: 3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1689483*a*c**4 - 3627*a*c**2 - 11*a*c - 9*a + 6*c**5 - c**2 - 2*c wrt c?\nAnswer: 40547592*a*c + 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1229805*a**2*q + 414*a**2 - 2*a*q + 6940*a - q + 2 wrt q.\nAnswer: -1229805*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.5758 rounded to one dp?\nAnswer: -79.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 13. Let v(q) = -q**3 - 5*q**2 + 7*q - 1. Let p be v(m). Calculate the common denominator of -29\/16 and 6\/(-4)*4\/p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48 - -61. What is the least common multiple of i and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -183, -441, -807, -1281?\nAnswer: -1863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 343859, 688083, 1032647, 1377545, 1722771, 2068319, 2414183, 2760357?\nAnswer: 3106835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (2 - 2813) - -4. What is the hundreds digit of x\/30*(-3 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 61 + 15. Let s = a - 4. Suppose m + 4*r - s = -r, -r = -3*m + 109. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885100330.\nAnswer: 2, 5, 88510033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(((-176)\/(-11))\/48).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246 + -204. Calculate the remainder when x is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 135 and 529680.\nAnswer: 4767120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 110*j**2 - 1295*j + 12740.\nAnswer: 5*(j - 28)*(j - 7)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1120 and 700.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -34*v**3 - 4*v**2 - 14*v + 5. Is o(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 41109504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5896 + -70853\/12. Find the common denominator of -35\/8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w - 2*w)*(-6 + 5 + 3).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 3, -4\/6297, 0.03, 1\/6 in descending order.\nAnswer: 3, 1\/5, 1\/6, 0.03, -4\/6297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3781365 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 12 + 44. Let u be c\/(-7)*18\/(-4). Find the common denominator of 107\/18 and (-2)\/(-3) + 813\/u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1020281 divided by -1020281.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554 + 2\/8*-4.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60008 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 63968?\nAnswer: 255872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2280)\/(-2660)*(-7)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 11*q + 7*q + 67231, q = -2*z + 26896. Is 216 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 + 4.85. Let u = 0 - -1. Let c = 1985 + -9929\/5. Put u, z, c in descending order.\nAnswer: z, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) - (sqrt(85)*1 - sqrt(85))*2))*5)\/(sqrt(35)\/((-3*sqrt(700) - sqrt(700)) + sqrt(700))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 412, 437, 482, 547, 632, 737?\n\"Answer: 10*m**2 - 5*m + 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 458 + -346. What is the highest common factor of d and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 164*x - 148*x. Solve 0 = -u - 3, 0 = -x*m + m + 2*u + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 4 + 6 + 5. Suppose s - 3*j = -9, k + 3 = 4*s + j. Solve 0 = -l - t - 5, -l - 8 = -3*t - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, -2, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 946799876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/6 + 8*c**2 + 3*c. What is the units digit of i(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 18*j + 244 = r, j - r - 61 = 0. Let z = j + -53. What is the remainder when 76 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7091 divided by -1\nAnswer: 7091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -6 - -1) + (-6 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 32*h + 25. Let g be y(-19). Let j = -17823\/22 - g. Let d = 123172 - 12563699\/102. What is the common denominator of d and j?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37649?\nAnswer: 37649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 78*s - 169. Determine k(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*i + 282 + 13586, -3*i - 3471 = -w. Is 102 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1465624 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 521*i - 835. Let f be d(172). Sort f, 5, 2, -1 in increasing order.\nAnswer: -1, 2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -23*u**4\/4 + u**3 + u**2 + 249*u - 733. What is the second derivative of w(v) wrt v?\nAnswer: -138*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 15*m - 40. What is o(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*k - 4. Suppose -6 = -6*g + k*g. Suppose 20 = g*v - v - 4*y, -3*v = 4*y + 10. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 0.05776688?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60*12\/90 - (2 + 2*-159) is divided by 119?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**4\/18 - 49*l**3\/9 - 16*l**2 + 286*l. Factor k(a).\nAnswer: -2*(a + 1)*(a + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 7*d**2 + 7*d + 11. Let g be m(-6). Find the third derivative of -13*z**4 - z**4 - g + 4 - 2*z**2 + 5 wrt z.\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ujummausu. Give prob of sequence ms.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -36 (c) -838\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 - 7*j + 38. Give p(8).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3)*(-126)\/70*15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*u + 5440 = -1481 - 282 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d0b - -1586?\nAnswer: 2493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2621, 5238, 7855, 10472, 13089, 15706?\nAnswer: 18323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from dbdkktkddutd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5 + 2210276*q**4 - 13261692*q**3 = 0.\nAnswer: -2210282, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 120, 180?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2 (b) 2\/17 (c) 3 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 20*h + 43. What is f(22)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t**3 - 2*t**2 + 5*t - 1. Let b(v) = -95*v**3 - 19*v**2 + 46*v - 8. What is 2*b(m) - 19*g(m)?\nAnswer: 19*m**3 - 3*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (-10 - -7) - 8?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 236440 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 544363 - 12?\nAnswer: 544351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -30121314 (base 5) in base 8?\nAnswer: -722557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-5 + 3) - -14. What are the prime factors of 2\/(14\/j - 1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000010 (base 2) to base 4.\nAnswer: 101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -124, -258, -394, -532, -672, -814, -958?\n\"Answer: -u**2 - 131*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**4\/24 - 5*l**3\/6 - 7*l**2. Let h be x(0). Find the common denominator of -26\/7 and ((-104)\/(-72))\/((-1)\/h).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 9*q - 1 - 5*q. Let w be m(3). Let i be 2\/5 + 52\/w. Solve -i*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30454655 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) 3 (b) 1\/527 (c) -3 (d) 0.2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1210020 (base 3) to base 5\nAnswer: 20202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 - -5 - (42 + -39).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9887*q - 467 + 910 - 443.\nAnswer: -9887*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + -1 + 63 + -58?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -7 - -4 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q = 0. Solve -t + 2 - 4 = q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a + 6*a - 25*a + 4*a to m*a + l and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -n + 16, n + 6*l = l + 17. Let g = 32 - n. Find the third derivative of 6*s**5 + 20*s + 6*s**2 - g*s wrt s.\nAnswer: 360*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 2:37 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -12.63292?\nAnswer: 50.53168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 plus -223?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -5) + (1 - (0 + 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42546494 a multiple of 5533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 3, -4, -0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -78 * -678\nAnswer: 52884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 363 + -756. Let m = p - -392.99474. Round m to 4 dps.\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31.641594 + -0.44.\nAnswer: 31.201594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 1:43 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3468 divided by -4.\nAnswer: -867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(936)\/sqrt(2))**2 + (-6*(-2 + sqrt(13)))**2 + sqrt(13) - (sqrt(13) - sqrt(52)\/(sqrt(4)*2) - sqrt(78)\/(sqrt(6)*-3 + sqrt(6))))*-6.\nAnswer: -6480 + 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 0*y**2 + 1\/15*y**6 - 1\/12*y**4 + 0*y**5 + 0 + 0*y**3 - 2*y. Find the third derivative of n(i) wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*m + 20*m + 2 + 0 + 15*m + 4*m + 0*m + (0 + 0 + m)*(-1 - 1 + 1) + (1 + 3 - 5)*(-2 + 2 + 2*m) as p*m + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*r - 588 = -1236 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.24 + -0.14. Let l = 9 - 8.9. Let m = -1.1 + l. Which is greater: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 197*x - 253*x + 52*x - 132 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22393628 a multiple of 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 255827 - 3?\nAnswer: 255824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 1284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12 and 91\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dikkdkd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**3\/6 + 9*h**2 - 3*h - 7. Let f(y) be the first derivative of d(y). Is f(0) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 + 2. Let z be o(5). Let a be z\/((6\/(-35))\/3). What is the common denominator of 190\/a*2\/(-2) and 12\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/4)\/k))**(-5\/8) assuming k is positive.\nAnswer: k**(-45\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 240, -4, 1 in decreasing order.\nAnswer: 240, 1, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 550\/9 + -61. Suppose -13 = -2*a - 5. Factor 0 + 0*u**2 - z*u**3 + 1\/9*u**a + 0*u.\nAnswer: u**3*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 4:55 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94 and 6.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 17, -1, 23, 4 in increasing order.\nAnswer: -5, -1, 4, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759186.\nAnswer: 2, 3, 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/2 - 67*l + 12411\/2.\nAnswer: -(l - 63)*(l + 197)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*c**6 - 18*c**3 - 58050*c**2 wrt c.\nAnswer: -20760*c**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119001 or 119002?\nAnswer: 119002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-6) + 17\/34?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943985012?\nAnswer: 2, 11, 61, 911, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63558779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (21\/(-180))\/(17\/(-21)). Let j = 3\/68 - r. What is the smallest value in 1, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -7.6, -1\/8, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 659992 > 659995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29882 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f - 5. Suppose 4 = -2*n + 3*j, -6*j = -2*n - 2*j - 4. Let x = n + -1. Is 2 a factor of t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -242\/225 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31685 - 63350 + 31682 + 3392*r**2.\nAnswer: 3392*r**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + u + 1. Let i be p(2). Let s(t) = -102*t + 5. What is the remainder when s(i) is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/8 + (-1)\/(64\/(-80)). Let u = -67\/20 + 18\/5. What is the closest to u in 1, z, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 25 - 22 = 0. Suppose 3*n = -3, -3*a - w*n = 2*a - 92. Calculate the remainder when 74 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3736 + -3731. Let x(v) = -2*v + 15. Give x(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 16 + 9*i**4 + 4*i**4 - 4*i**4 - i**4 + (-i**2 + 2*i**2 + i**2)*(i**2 + 2*i**2 - 5*i**2) to r*i**3 + g*i**2 + d + c*i + z*i**4 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d8 + -42?\nAnswer: -93a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 25 = -44*a - 18. Suppose 0 = 2*y - 3*m - 20, 2*y + 5*m + 4 = -2*y. Sort 8, -2\/3, a, y in ascending order.\nAnswer: a, -2\/3, y, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + 0 - (-31 + -72 + 113)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + 9 - 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 11*v + 13*v + 30 = 0, 0 = 3*n + 3*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4696, 6130, 7564, 8998?\nAnswer: 10432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6736799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28417913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1930 - -67?\nAnswer: -1863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5849928718.00000086 + -5849928645. Let r = k + -73. What is r rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)*r)**(2\/21)*r**15\/(r\/((r\/(r*r*r*(r**28\/r*r)\/r))\/r*r*r)) assuming r is positive.\nAnswer: r**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 + 0 - 2 + 5 - 2 + (2 - 3 + 0)*(-3 + 1 + 0))*(0*r**2 - r**2 + 2*r**2) to v*r + f + y*r**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 - -87. Suppose -5 = x - 3. Let n be (x + 0 + 1)*-4. Calculate the greatest common factor of l and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*p**3 + 4 - 2 - 1.\nAnswer: -302*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n**2 - 3*n**2 + n**2)*(-1 + 1 - 2) + 0*n**2 + 4*n**2 + n**2)*(2*n - 4*n + 5*n).\nAnswer: 21*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17029 and 5.\nAnswer: -85145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(108) + sqrt(108))**2 + sqrt(108) - sqrt(108)) + sqrt(3))*-3.\nAnswer: -1296 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 + 39608806*i**2\/3 + 196107327723952*i\/3 + 1372749353236856\/3.\nAnswer: 2*(i + 7)*(i + 9902198)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 599 - 603.98. Let q = 3139.98 - 3139. Let d = i + q. Which is the closest to -0.2? (a) d (b) -2 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**3\/3 - 3*s. Let p = -1235 + 1229. Calculate c(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1033 (base 5) to base 12\nAnswer: -bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111000001101100 (base 2) in base 3?\nAnswer: -20110022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4201 - 4215. Solve -4*n - 2 = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1040 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 34176358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 23*t**2 + 19*t + 5. What is the thousands digit of g(31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -146.6695?\nAnswer: 5.86678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -q**5\/80 + q**4\/24 + q**3\/8 + 3*q + 12. Determine c so that i(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/72 and -22\/63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 64 + 56. Calculate the smallest common multiple of 44 and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 73374022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-4195)\/(-5034)*(-264)\/10\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v - 1239 + 1194 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.00591 + -0.00591. Let g = -0.4 + 0.4. What is the nearest to g in 2\/3, b, -0.8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l. Let a(p) = 255*p**2 + p. What is f(a(i))?\nAnswer: -1275*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5943955, -23775854, -53495689, -95103460, -148599167?\nAnswer: -213982810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-9 - -15) + -1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1282 - 9019 - 4535*r + 117*r**2 - 119*r**2 + 1142*r with respect to r.\nAnswer: -4*r - 3393","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mvqmgvvgmygvyggyvmym?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-6))\/(14\/(-12)). Let h = -42110 - -42110.4. What is the closest to 0.01 in b, 1\/2, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 15. Let f = 3 + s. Let w(h) be the second derivative of 7*h**3\/6 + h**2\/2 - 141*h. Calculate w(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/25)*l*l**15*(l\/(l\/(l*l**(-1\/4))*l*l)*l)\/(l*(l**(-7)\/l)\/l*l) assuming l is positive.\nAnswer: l**(2279\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 37764.86 nanometers?\nAnswer: 0.00000003776486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, s: 7}. Give prob of sequence osoo.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32*(-20)\/(-2560)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4946.05534 and -3.\nAnswer: -14838.16602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 - (1 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 6*u - 1. What is n(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 4*g**2 + 5*g + 4. Let p be j(-4). Let l = p + 46. Suppose 3*m + 13 = 2*w, -5*m - 3*w = 2*w + l. Sort -4, 5, m in decreasing order.\nAnswer: 5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z - 16 = 0. Let m(c) = -2*c - 6. Let b be m(-5). What is the closest to -1\/2 in b, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -1. Let r be (-3)\/g + 4\/(-20). Suppose r = -0*u - 5*u + 5*y + 35, -u + 3*y + 15 = 0. Solve q = 2 + u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137.09149 + -0.09149. Let t = 16 - -121. Let f = t - q. What is the closest to 2 in 1\/9, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 1. Let l be k(2). Let u be (-2820)\/(-78) + (-2)\/13. Suppose -p = -l*p + u. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29712.3 litres in millilitres?\nAnswer: 29712300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13\/12 - 145\/156. Let d be (-15)\/5 - (-64)\/10. Let s = d - 124\/35. Put j, 1\/2, s in increasing order.\nAnswer: s, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301132313 (base 4) in base 15?\nAnswer: -14810b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - 16*v**2 - 3 + 6701*v**3 + 563*v + 1 - 3361*v**3 - 3348*v**3 wrt v.\nAnswer: -48*v - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3124274044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 4*h + 432. Let c = h + -54. Solve 5*b + 5 = -5*n, c*b + 3 = b + 3*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.47693437+-0.4\nAnswer: -0.87693437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, m: 9, f: 7}. Give prob of picking 3 f.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 - 13 = 0. Let b be 1 - (-12 - (-1 - 0) - 2). Suppose -2*n + b = -k. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-5))\/7*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 11 - 14 - 23*b.\nAnswer: -23*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2 + x + 1. Let j be r(-1). Suppose -4*m + 2224 = 4*u, -2*m - 556 = -j*u + 2*u. Calculate the common denominator of 31\/16 and (u\/18)\/(-2 + -2).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -v - 2*o, -3*o + 22 = -4*v + 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**14)**7*b**(-3\/16)*b**(-2\/19) assuming b is positive.\nAnswer: b**(29703\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z**2 + 4 - 16*z**2 + 24*z + 19*z**2. Let u be f(6). Solve -u*t + 2*t = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203146133 (base 7) in base 15?\nAnswer: -10a432b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -758, -762, -768, -776, -786?\nAnswer: -798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24083 divided by 2.\nAnswer: 24083\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*w, -32 = 6*z - 2*z - 4*w. Let u be z\/2*16\/420. Let m = 1 + 8. Put u, m, 1, 2 in ascending order.\nAnswer: u, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/39*36\/(-8).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3 + 0 + -2*sqrt(99) + -3)*-4)**2.\nAnswer: -13824 - 2304*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3 + 47924*i**2 - 221902500*i + 221217187500 = 0.\nAnswer: -15731, 1875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 2*l + 1, 0 = 4*s - 17*l + 20*l + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 345 - -3?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*s - 49. Suppose -3*p - 86 = 2*k + 110, 130 = -2*p - k. What is the remainder when (6\/(-5))\/(p\/3680) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(200)*-2 + 4 + 0 + sqrt(288).\nAnswer: -28*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*p + 2 + 3 = 0, -5*o - 3*p + 40 = 0. Let u be (6\/o)\/((-4)\/(-10)). Suppose 5*x - u = 7. Solve 2*q = -5*r - x*q - 20, -3*r + 5*q - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*l**4\/7 - 47875*l**3\/7 - 77838*l**2\/7 + 35625*l\/7 - 1454\/7 = 0. Calculate l.\nAnswer: -2, 1\/22, 1\/3, 727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 62*(-7)\/(-154) - 2\/(-11). Which is the closest to h? (a) 0.7 (b) -0.4 (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*q - 64 = -253. Suppose -z - 3*b = -0*z - 47, 2*z = 3*b + 58. Let u be 4\/5*z\/14. Solve u*a = -q + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 498*v**2 + 4*v - 3. Let b = 86 - 85. Is z(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 45. Solve -3*u + t = -8*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/12 and 21\/4877?\nAnswer: 58524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 410*o - 541 = -413*o - 398, -c = 4*o - 178 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let w = 170 - 76. Let c(d) = 96 - 190 + w - d. What is c(u(p))?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*y - 102, 3*y + 50477*c - 50473*c = 122. Suppose -4*p - 604 + 1708 = 0. What is the least common multiple of p and y?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 37. Suppose 4*z + 3*p = -3, -5*p - 25 = -5*z - i*p. Suppose -z*k - 101 + 5000 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 6825.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtmqqqjqtjmpp. Give prob of sequence jmj.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6766 - -6766. Let n = 13045\/21 + -621. Are y and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30414, -61159, -91904, -122649?\nAnswer: -153394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 6*d**2 - 5*d. Suppose -2*z - 3 = -13. Let r be l(z). Solve -2*x + 0 - 8 = r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -17. Let g = 9 + -6. What is the remainder when -11*(-2 - g - -4) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-6) + (-88)\/(-6). Let j = f - 11. Let k(l) = l. Let h(w) = -2*w - 1. Let m(x) = -h(x) - k(x). Determine m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 7, -5, -21, -41, -65, -93?\n\"Answer: -2*g**2 - 2*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 291 - 103. Let i = 187.13 - d. What is i rounded to two decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 558, 78, 1, -4, 5, -1.28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48676*m**3 + 1087*m - 4 wrt m?\nAnswer: 292056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-210))\/(18\/147*(1134\/(-12))\/(-27)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/5)*j*(j*j**14)\/j assuming j is positive.\nAnswer: j**(69\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/((-3)\/60). Suppose 2*d - r = -0*k - 4*k, 0 = -5*k - d + 11. Is 106\/4 + k\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 12*d - 24. Let m be l(-9). Let r(s) be the first derivative of 0*s**2 + 3 + 0*s - 1\/8*s**4 + 1\/6*s**m. What is x in r(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o**3*y**3 + 2*o**3*y - 3*o**2*y**2 - 8*o*y - 12*y**3 - 28*y wrt y?\nAnswer: -24*o**3*y - 6*o**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 21. Let j(l) = b - 2*l - 10. Give j(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) - (-440)\/198. Factor 6 - 10*u - 83*u**2 + 4 - 1 + 84*u**v.\nAnswer: (u - 9)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2 + 2292780*m + 2292778 = 0.\nAnswer: -1146389, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -136, -222, -342?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 2*c**5 + 0*c**2 + (2078*c**5 + 2312*c**5 - 2944*c**5)*(2 - 2 + 1)*(0 + 0 + 1).\nAnswer: 1448*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 12*p = 7*p + 2875, 2*z - 5*p - 2865 = 0. What are the prime factors of z?\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 2*l + 13. Let b = l - -44. Let z(w) = -5*w + b*w - 1 + 3*w. Determine z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -219 - -219. What is the closest to 7\/8 in 0.4, h, -4\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 0. Let o = -7 - y. Which is the third biggest value? (a) -0.03 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7 = -5*o, 0 + 4 = 5*n - o. Let m(q) = 0 + 2 + 6*q - n - q. Is m(1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4265540348.\nAnswer: 2, 23, 4391, 10559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a kilometer in meters?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 12*l + 72. Let f be o(-6). Suppose 0 = 5*v - 3*y - 0*y + 3, -4 = 4*v - 4*y. Solve -1\/2*r**5 + 0*r + v*r**4 + 1\/2*r**3 + f + 0*r**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-3)\/18*6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1449 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (51\/(-2) - -1)\/((-23)\/92). Let t = g + -26. 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: Let a be ((-36)\/15)\/((-60)\/150) - 5. Let y = -25.6 - -1.6. What is the closest to a in y, 3\/2, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -5*w**3 - 145*w**2 - 270*w = 0.\nAnswer: -27, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -149 (base 10) to base 7.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-5) - 54\/(-10). Suppose 4*y - c*y - 3 = 0. Calculate the smallest common multiple of 22 and (y\/4)\/((-1)\/16).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 4*r**2 + 3*r + 4. Suppose 2*z + 5 = 3*b + 2, 0 = -3*z + 12*b - 12. Calculate t(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0.7. Let u = 233\/3 + -77. Which is the nearest to u? (a) w (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -82e1 - -3?\nAnswer: -82de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -220*345\nAnswer: -75900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nufanagngg. Give prob of picking 1 u and 1 a.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 4*q**2 - 1. Let c = 45 - 41. Determine h(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or 0.04247663?\nAnswer: 0.04247663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(-g**3 + g**3 + g**3)*(0 + g + 11*g - 2) to s*g + d*g**4 + x*g**3 + i*g**2 + a and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -5*j + 8*h - 1, -3*j = 5*h + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7862.38 + -7761. What is w rounded to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**9\/28 - 3*o**5\/10 - 2*o**2. What is the third derivative of k(v) wrt v?\nAnswer: -2160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**17\/i**(-3\/10))\/(((i\/(i*i*i*i\/((i*i\/(i*i*i**(3\/7)*i)*i*i)\/i*i)*i*i)*i)\/i*i)\/(((i*i**(1\/5))\/i)\/i)) assuming i is positive.\nAnswer: i**(279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 129, 159, -4, -5, -2 in ascending order.\nAnswer: -5, -4, -2, 129, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.56 - 0.14. Let b = 1 + p. Let z = -0.3 + 0.8. What is the closest to -0.1 in b, 5, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*c + 4 = -j, -3*j = c + 1. Suppose j = 10*y - 1262 - 2178. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -1. Let a = 1 + x. Which is bigger: a or -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 24. Sort -6, x, -4 in descending order.\nAnswer: x, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 38.9526g?\nAnswer: 38952600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25359442627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from likrq. What is prob of sequence lkr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/14 and (0 + (-2)\/(-12))\/(175\/(-8175))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + -11?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 86664.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 16\/(-20) - (-32)\/10. Let l(d) = -d**2 + 5*d - 3. Let i be l(5). Let y = i + 5. Solve 3*n = 0, y*u = -2*u - n + o for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 14*c - 28 + 14*c - 23*c - 284.\nAnswer: 5*c - 243","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a second in milliseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -945 <= -946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/2))**21*(b*b\/((b*b**(-1\/3))\/b*b))**(-22))\/(b**(-4)\/b**7)**(-20\/9) assuming b is positive.\nAnswer: b**(-1157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1527 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 2*r - 4, -3*r = -6*g + 10*g - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 418254313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/17 smaller than -28\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/(((-9)\/(-3))\/24669) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2910*b**3 - 6977*b**3 - 526*b**3.\nAnswer: -10413*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41363.6 - -41363. What is the nearest to 20\/7 in -0.1, -3\/4, b, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 21*f + 8 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1726 divide 4216618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-12) + 5)\/(-1)*18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 32 - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 19. Let j = 0.97 + -1. Let n = -1.97 + j. What is the closest to n in -2, 5, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**4 - 2453*r**3 + 208463*r wrt r?\nAnswer: -24*r**2 - 14718*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 37 - 2*s**3 + 57*s**3.\nAnswer: 51*s**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40030144199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 1. Suppose 16*h = y*h + 102. Solve -j - h = -18 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1627241*j - 1627175*j + 3234 = 0 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3047.307418 rounded to 1 decimal place?\nAnswer: -3047.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j + 3*m, -2*m = -j + 6*j - 33. Solve -x + 2*x = j*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 + -40 - -105) + 38\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032319414 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2 - u + 6.\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48317185?\nAnswer: 5, 7, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 140170447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 145 - 227 = 2*a, -744 = 4*a - 2*h. Let c = 10 - a. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 12 (c) -8396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = i - 0*i + 14, 4*a + 2*i = 32. Suppose 0 = b - 2 - 1. What is the third derivative of -10 + p**a + b*p**2 + 10 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 k, and 2 u when four letters picked without replacement from {t: 1, n: 4, y: 3, z: 1, k: 2, u: 7}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 12. Let x = 33 + -30. Let r = 3.4 - x. What is the second biggest value in -4\/3, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4108*l**4 + 335*l**2 wrt l?\nAnswer: 98592*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1609778382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4 + 2*n + 2*n**2 - 3*n + 3*n + 8 + n**3. Determine d(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r**2 - 3874 - 3856 + 7730.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.20659 - -0.40659. Which is the third smallest value? (a) n (b) 1.9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412413 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*a + 10 = 0, -11*x - 2*a = -6*x + 9. What is the third biggest value in x, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688.9366 millennia in years?\nAnswer: 688936.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2688813 or 2688807?\nAnswer: 2688807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -55199*l**3 + 6*l**2 + 6*l + 5. Let g be p(-5). What is g rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqxx when four letters picked without replacement from {x: 11, u: 2, q: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 + (-1810)\/(-86) + -13. Which is the nearest to -1\/2? (a) 0.4 (b) m (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + ((-2)\/(-9))\/(((-12)\/48)\/((-627)\/(-76)))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92156?\nAnswer: 2, 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z + z + 2*z)*(2 + 0 - 1) + (-1 + 7 - 3)*(-3*z + 0*z + 5*z) to a + y*z and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3209, -6401, -9571, -12713, -15821, -18889, -21911, -24881?\nAnswer: -27793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, m: 3}. What is prob of sequence sm?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.54 - -601.54. Let l = a + -596.99999709. Round l to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 0.5 (b) 54 (c) 208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, and 1 e when three letters picked without replacement from krnea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-6 + 6 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4d (base 15) to base 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 2. Let d be r(0). Let j be (-1 - d) + 1*2. Suppose 0 = c - 0 - j. Solve 9 = 3*h + 3*s, -3*h + 9 = -2*s - c*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a meter?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41395613803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -680.788 + 1768492.788. Let h = 1767906.0183 - o. Let x = -94 + h. Round x to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8338*k - 6255 - 16686*k + 8349*k in the form z*k + v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -69. Let l = -622\/13 + j. Let y = 2.75 - -0.25. What is the third smallest value in -4, y, l?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 10 - 11 + 6, -3*y + 6*y - 11 + 76 = -4*i for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50411332 (base 6) in base 9?\nAnswer: 2622822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, -8, 10, 52, 124?\n\"Answer: m**3 + 3*m**2 - 16*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -318, 0.05 in decreasing order.\nAnswer: 2, 0.05, -1, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-1584)\/240 + -1 + 8. Sort -3, -0.3, -6, v.\nAnswer: -6, -3, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3942, -8, 329 in increasing order.\nAnswer: -3942, -8, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 (base 7) in base 16?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.13? (a) 1 (b) -5 (c) 6 (d) -0.03 (e) 0.1 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55734, 55693, 55654, 55617, 55582, 55549?\nAnswer: 55518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 24089155, 48178293, 72267445, 96356617, 120445815?\n\"Answer: p**3 + p**2 + 24089128*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3655 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*k - 4*x + 25 = -37*k, -5*k - x - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 18) + (-9)\/(-1*3). Let y be 6\/(1\/((-4)\/(t\/(-3)))). Let w(p) = p**2 - 3*p - 9. What is the units digit of w(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 - f**3 - f**2 + f.\nAnswer: f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t**2 - 2*t + 1. Let u(i) = i + 13. Let n be u(-8). Let z = -10 + n. Is r(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g + 44. Give w(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196843874?\nAnswer: 2, 1913, 51449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0, 55, 0.053?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -23. Sort 0, 3, y in increasing order.\nAnswer: 0, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4247659 millennia to centuries.\nAnswer: 4.247659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + j - 7. Suppose 4688*g - 4694*g = -114. What is the remainder when s(7) is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 200733*z**2 - 35*z - 97. Is o(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.087965092012+-145\nAnswer: -144.912034907988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*f = -3, 0*o - 3 = 3*o - 3*f. Suppose -13*i + 8*i = -10. Suppose y = -i*y + 6. What is the third smallest value in o, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -130*a - 4587. Give k(-34).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37982, 76402, 114822, 153242, 191662?\n\"Answer: 38420*m - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5, 2*k - 417 = k - 2*c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2577956*o**2 - o + 4. Let i be m(3). Let a be i\/21 - (-2)\/3. Suppose 3*d = 2*r - 4200009, -995146 - a = -r - 5*d. Round r to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mil when three letters picked without replacement from xwmxmwilemlximw?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*z - 3*u + 1, -27 = -2*z - 3*u. Let q(s) = -s**3 + 6*s**2 - s + 7. Let n be q(z). Let y = -438 + 437.9. Is n less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552061?\nAnswer: 7, 221723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -8) + -2 + -1. Let d(r) = -r - 1. Give d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -1cc?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x**2 + 109*x - 648. What is the remainder when c(7) is divided by 174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnshhhgshnhhhsgh. What is prob of sequence gg?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 478*a**3 + 5*a**2 - 3*a - 56. Let s(p) = -238*p**3 - 3*p**2 + 2*p + 29. Let k(t) = -3*m(t) - 5*s(t). What is the second derivative of k(n) wrt n?\nAnswer: -1464*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 v when three letters picked without replacement from ftftptlvlil.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 247.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 20\/3*z**2 + 35\/36*z**4 + 35\/9*z**3 + 0 - 100*z + 1\/12*z**5. Factor f(l).\nAnswer: 5*(l + 1)*(l + 2)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*k + 2, -3*r = -7*r + 3*k + 3. Solve -y + r*y = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(sqrt(700) - sqrt(700)*1) + sqrt(700)*-2*5)**2 + ((-2*sqrt(700) + 0 - ((sqrt(700) + sqrt(700)*-1 - sqrt(700)) + -1)) + 3)**2 + 1.\nAnswer: -80*sqrt(7) + 280717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6 - 4*d + d**2 + 15 + 9*d - 8 - 6. Give a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.017 times 153926\nAnswer: 2616.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 8*g + 32 = 0, 164 = -25*h + 3*g + 176 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1593366 - -67635.254\nAnswer: -1525730.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 49. Suppose -17*y = -14*y. Suppose y = 4*m - 46 + 2. What is the highest common factor of m and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7092.82 litres?\nAnswer: 7092820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 - 21537\/(-45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27648 by 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 3*t**2 + 7*t. Suppose p = 3*n + 3*p + 9, 2*n - 2*p = -16. What are the prime factors of w(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.119277991 to four dps.\nAnswer: 0.1193","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56981 and 7086637.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16352 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 13 + -3)*2\/(-6)*-14. Calculate the highest common factor of w and 4599.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150984532883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**3 + 29*g**3 - 75*g**3 + 2249*g**2 - 4512*g**2 + 2263*g**2 + 43*g**3.\nAnswer: 23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2708, 10830, 24352, 43280, 67620, 97378, 132560?\n\"Answer: j**3 + 2694*j**2 + 33*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8679676*v**3 + 0*v - 176*v**2 + v + 8668998*v**3 wrt v?\nAnswer: -64068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 25958*s**2. Let u(h) = 19*h. Calculate u(i(d)).\nAnswer: 493202*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u. Let d = 55 - 54. Determine o(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - -16 - -63 - 4.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -28*b**3 + 2*b. Suppose 0 = 5*w + 2 - 12. Let i be s(w). Let d = 318 + i. Calculate the remainder when d is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 8*n**2 + 4*n**2 - 4*n**2 + 3 + 0. Let z be k(8). Suppose z*t = y + 1, -4*t + 3*y = -2*t + 11. Solve -t*w - 12 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 1. Let j(m) = 12*m + 8. Suppose 39 = 6*n + 45. Let f(i) = n*j(i) - 8*w(i). Let g(d) = 9*d**2. Calculate f(g(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w**2 + 6*w - 12. Let q be f(4). Let c be (-3 - q\/(-45))\/(2\/(-6)). What is the second smallest value in 3, c, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84020597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j + 11*j = -288. Solve 3*p + 19 = j for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2760718 > -2760704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -43*o**3\/6 + 45*o**2\/2 - 59*o - 2. What is the units digit of n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (-35 + 37 + 25).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4890 divided by -41.\nAnswer: 4890\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express v - 2*v - v - 2*v**2 + (8*v - 215 + 215)*(-3*v + 12 - 8 + v) as x + p*v**2 + i*v and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -8, -0.4, 0.26, -6.3, -2\/9?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -0*v + 2*v. Suppose u = -6*u + 98. What is the greatest common factor of v and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 272 + -267. Let x(p) = -p**2 + 3*p + 1. What is x(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335\/6 + 56. Let o(v) be the second derivative of -1\/126*v**7 - 1\/18*v**4 - 2*v + w*v**2 + 1\/90*v**6 + 1\/30*v**5 - 1\/18*v**3 + 0. Solve o(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204 divided by 102\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 594, 1187, 1790, 2409, 3050?\nAnswer: 3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -7, 4, -2, 19, -8 in increasing order.\nAnswer: -8, -7, -4, -2, 4, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11679 divided by 469\nAnswer: 11679\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -176*y + 67*y + 48*y. Let l(w) = 2*w. Give l(v(q)).\nAnswer: -122*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2952 and 20356008?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1721 - 524 = 17*f + 32*f - 1204 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8799584 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 2875520 to the nearest ten thousand.\nAnswer: 2880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2602439031 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152) - (sqrt(152) + 1*sqrt(152) + sqrt(152) - sqrt(152))) + sqrt(152) - 1*sqrt(152)*-3)\/(1*sqrt(432)\/sqrt(6)).\nAnswer: 7*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -271, -262, -249, -232, -211?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 7. Let d be m(-5). Let s(f) = f**3 - 14*f**2 - 16*f + 17. Let h be s(15). Solve 0 = h*w + d, w - 20 = 5*u + 6*w for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 21480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361835, -1447389, -3256645, -5789603?\nAnswer: -9046263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*z + 4 - 53*z**2 + 37*z**2)*(-3 + 0 + 0).\nAnswer: 48*z**2 - 12*z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-747)\/(-166)*3\/(-9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = -2*r + 8*z - 4954, -9878 = 4*r - 5*z. Let o = 2851 - r. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 1261, 2702, 4723, 7324, 10505?\nAnswer: 14266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.1, -2\/5, 0.07 in decreasing order.\nAnswer: 0.07, -0.1, -2\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/4 + 157*y**4\/2 + 5393*y**3\/4 + 3849*y**2 - 4527*y - 18360 = 0. What is y?\nAnswer: -34\/3, -3, 2, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/32? (a) -4 (b) 1\/2 (c) -3871 (d) 5 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 9, -3*d - 5*p = -0*d - 9105. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 45. Calculate b(-10).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13167*v - 9 - 327 = -13181*v. What is the remainder when 2011 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from tudxzudduxkduxdxzd.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6145*a = -58756 - 202082 + 93407 - 170544 for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -210 + 296. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9088877?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59080)\/844*(-1)\/(-3)*6\/(-2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -23\/3*s**3 + 0*s + 14*s**2 - 9. What is the second derivative of g(d) wrt d?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17819 and 865.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -202 - 1382. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17586914 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:31 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -100101 (base 2) in base 12?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w**2 + 0*w**2)*(w + 3*w - 3*w) - 6*w**5 - 6*w**5 + 3*w**5 + 2*w**5 - w**5 + 8*w**3 - 5*w**3.\nAnswer: -7*w**5 + 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 = -4*v - 5*i, -2*i - 8 = -3*v. Suppose -v*k = 2*k. Solve 0 = 2*m - 5*u + 29, -21 = -k*m + 3*m - 3*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 2\/(24\/160*4\/6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.838 + -0.038. Let s = -42.3 + 40. Let u = s + b. What is u rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27400530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 94219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/3*(-2 - -8). Solve -2*p**5 - 4*p - 22*p**3 - 3*p**2 + w*p**3 - 10*p**4 - 11*p**2 + 0*p**2 = 0 for p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15119 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 h, and 1 y when four letters picked without replacement from ffhhyhfghzyyff.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 363*v**2 + 395*v + 11290. What is c(-364)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2392026.8 and 1.\nAnswer: 2392027.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -0.2, 26.45, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18151)\/(-9) + 4\/18. Suppose -4*z = 5*v + i, 4*z + 4*v = 5*z + 499. What are the prime factors of (-6)\/9 + z\/(-3)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 8*r**2 + r + 8. Let u be h(-8). Suppose -3*s + 3*j = -93, u = -6*s + 2*s + 2*j + 118. Calculate the remainder when s is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1164)\/(-30) + (4 + 0 - (3475\/125 - 24))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3643 - 2683. Suppose m + 73 = 5*d, -m - 5 = -3*d + 38. Calculate the highest common factor of d and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 4, 1\/3, -1.6, 38, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0612, 0.082, -5?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*l + 2 = 11, -3*h + 2*l = 13. Is -7 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13806 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*s. Let g be (5 + (-39)\/9)\/(1\/s). Suppose -l - 205 = -3*v, 149 = 3*v - g*l - 60. What are the prime factors of v?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + (-3 - 0))\/1. Suppose 3*n - 5*n - 12 = 0. Is z less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44 and -0.5881?\nAnswer: 25.8764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-7))\/1*7\/(-1)*2.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(1300) + -4) + 3 + 5*(2*sqrt(65)*-1)\/(3*2*sqrt(5)))**2.\nAnswer: -7130*sqrt(13)\/3 + 317086\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3493*v - 3477*v = 9408. Solve v*x - 582*x = 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7 + r + 16*r + 16 + 7 - 33 - 3*r**2. Determine p(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158375.88 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 36. Let c(n) = -2*n + 42. What is a(c(g))?\nAnswer: 4*g - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, w: 6}. Give prob of picking 3 w and 1 v.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0816 - 0.3184. Let u = -9 - -6. Which is the smallest value? (a) u (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00641255467 to 6 dps.\nAnswer: -0.006413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11230 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1122476 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37*160\/(-1480) - 5\/((-15)\/72).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6197 + 341.6803. Let l = -342 + n. Sort l, -0.6, -0.13 in descending order.\nAnswer: l, -0.13, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*s = -1074 + 327, 2*i - 505 = 5*s. Let o = -111 + i. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 85799055?\nAnswer: 4\/85799055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*(33\/(-6) + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/31)*u*u*u*u)\/u**4)\/(u\/(u\/(u\/u**1))*((u**(-3\/5)*u)\/u)\/u))**(-2\/19) assuming u is positive.\nAnswer: u**(-786\/2945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/7 - 260560*a**3\/7 - 11310993252*a**2\/7 - 163424583609408*a\/7 + 1147856136830298.\nAnswer: -2*(a - 49)*(a + 43443)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 1. Let j(a) = 5*a**2 - 4*a - 3. Let g(c) = -j(c) + 4*y(c). Let h be g(5). What is the second derivative of 17 + 4*p**h - 17 - 6*p wrt p?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - t, 5*l - 3*t = -t. Suppose -2*f = -4*i - 12, l = -f - 0*i + 4*i + 12. Suppose p + 0*p - 203 = f. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(2\/9)*s)*s)\/s*s*s**(-6)\/s*s*s**5*s*s*s\/s**(3\/2) assuming s is positive.\nAnswer: s**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*v*z**4 - 2*v*z**3 - 182*v*z**2 + v*z wrt z.\nAnswer: -1272*v*z - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**19*c**(-2\/9))\/(c*c**(-2\/5))**(-24\/13))**(2\/43) assuming c is positive.\nAnswer: c**(23266\/25155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 z = -48 - -9. Let p = -35 - z. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(39) + (-2*sqrt(39)*2 - sqrt(39)))\/(sqrt(12)\/(sqrt(12)\/sqrt(3))) + 0.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -22. Suppose 4*h - 54 = -2*v, -u*v - 5*h = 2*v - 120. Suppose 16*s - v*s + 39000 = 0. What is s rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -1 - 40 + 25*z + 20 - 17. What is the units digit of a(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000151768653 to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*r + 5*r - 3*o, -5*o = -10. Suppose j - r*y - 1711 = 0, j + 0*y - 5*y = 1714. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*y = -t - 36, 2*t - 57 = y. What is the highest common factor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -5*q**4\/24 + 7*q**3\/6 - 58*q**2. What is b(7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 3:56 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 2*v**2 + v - 1. Determine g(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 357.7 - 357.411. Let w = 14 + -14.011. Let h = k - w. Put -3, -1\/5, h, 3 in decreasing order.\nAnswer: 3, h, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11639237039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -9, 0.05, -1\/17.\nAnswer: -9, -1\/17, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Let k(d) = -138831*d**2. Give s(k(u)).\nAnswer: -19274046561*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 5*x. Let y(v) = v - 7. Let d be y(5). Let w(s) be the first derivative of 4*s**3\/3 - 8*s**2 + s - 38. Let p(n) = d*w(n) + 7*q(n). Factor p(r).\nAnswer: -(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 199*b**3*d**2 + 2447*b**3 - 3*b**2*d**2 - 4400*b**2*d - 3*b*d**2 - d**2 wrt b?\nAnswer: 1194*d**2 + 14682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/1002384 and -35\/148.\nAnswer: 37088208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l + 87. Let y(j) = -8*j - 90. Let x(r) = -7*d(r) - 6*y(r). Determine x(0).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(18))**2*-4 + ((sqrt(48)\/sqrt(2))\/sqrt(12) - sqrt(100)\/sqrt(2)).\nAnswer: -684 - 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18247357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = 4*u, -u - u = -5*a - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d**2 + 19*d**2 - 6*d**2 + 7*d + 3 - 8*d**2 in the form o*d + r*d**2 + q and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -138374012279 minus -731?\nAnswer: -138374011548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26456*d*l**2*q**3 + 64*d*l**2*q - 5*d*l*q + d*l - 8*d*q**2 - d wrt q.\nAnswer: -158736*d*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 141705 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-140))\/(4\/10). Let f = 129 + -268. Let h = 139 + f. Is h > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-3645 + 976*i - 3649 + 7295).\nAnswer: 1952*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t**2 - 18*t + 13. Let q(z) = 9*z**2 + 35*z - 27. Let c = -47 - -50. Let o(h) = c*q(h) + 5*d(h). Is o(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 93?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 4:57 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(3\/22)\/w)**24*w**(-6)\/w*w**(-5\/6))**(-9) assuming w is positive.\nAnswer: w**(5655\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 4*f - 3. Let k(u) = -3*u**2 - 13*u - 10. Let z(y) = 8*j(y) - 3*k(y). Let z(m) = 0. Calculate m.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1346*-1\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.398 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, 99, 137, 173, 207?\n\"Answer: -c**2 + 43*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8628.\nAnswer: 2, 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5886537 centuries to months.\nAnswer: 706.38444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 0*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggnniggor. Give prob of sequence og.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 - -1 - (-5 - -3). Suppose -5*y - 5*g + 100 = 0, 4*y = 5*y - 5*g + 4. Let r = y + n. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 213*m**3*x**3 + 5*m**3*x**2 + 36*m - x**3 wrt x.\nAnswer: 1278*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q. Let o(d) = -2461*d - 2. Let z(c) = -12313*c - 11. Let n(f) = -11*o(f) + 2*z(f). Determine m(n(x)).\nAnswer: -2445*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -328, -144, 4, 15 in ascending order.\nAnswer: -328, -144, -4, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/6 + (-9549)\/(-27) + -2?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1187375?\nAnswer: 5, 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, 5 in descending order.\nAnswer: 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15, 27, 39, 51?\n\"Answer: 12*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -15 - (-1 + 6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p*p\/(p**0*p))\/p*p*p)\/(p*p**(-1\/3)\/p*p)*(p*p\/(p**(-1\/2)\/p)*p)**27)**35 assuming p is positive.\nAnswer: p**(26005\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 + 85*b**2 - 220*b + 140 = 0. What is b?\nAnswer: 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 - 12*z**2 + 0*z + 11*z**2 - 7*z + 3. What is the units digit of m(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000826937 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 41514 - 4a?\nAnswer: 41497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 383305742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - a + 86 = 0, -371 = -5*j + 3*a + 59. Let k = j + -70. Calculate the highest common factor of 48 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -66, -72, -96, -144, -222?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 391 + 79 = 0. Suppose 5*v = 4*v + l. Suppose 3*c = 6*c - v. What is the remainder when c is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 0*f + 2*f)*(0 + 2*f + 0) - 6631*f + 6631*f - 617*f**2 as k + j*f + h*f**2 and give h.\nAnswer: -613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixx when three letters picked without replacement from {o: 2, x: 2, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060659801?\nAnswer: 3, 17, 43, 263, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -20764, 5?\nAnswer: -20764","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + m + 4. Let u(k) = 12297*k**3 - 2*k - 8. Calculate u(q) + 2*v(q).\nAnswer: 12299*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 45717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001358 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*b = -20*b - 19*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1808?\nAnswer: 1\/1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q + 131 + 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 167478 + -41869433\/250. Find the common denominator of 139\/700 and a.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mby when three letters picked without replacement from {f: 1, h: 3, b: 6, m: 1, y: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 132\/5 (b) 9\/7 (c) -4\/9 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xppa when four letters picked without replacement from pmmammppssxmxxmx?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 * 2724.\nAnswer: -27.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - y**2 + y + 1. Let v(r) = -r**3 - 4*r**2 + 2*r + 4. Let a(m) = -2*j(m) + v(m). Calculate the remainder when a(4) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6307 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (7 + -5) - (1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b - 3*b**2 + 4*b**2 + b**3 + b**2 - 7*b**2 + 1. Let o be g(4). Let l(i) = i**2 - 4*i - 4. Let f be l(o). Sort f, -1, 2.\nAnswer: -1, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, h: 2}. What is prob of picking 1 h and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/30 + 1 + 21\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4219968 divided by 124.\nAnswer: 34032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -1990 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1372100.1*-0.1.\nAnswer: -137210.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.3 (b) 291 (c) 18\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 12*r - 17. Give l(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16925 is divided by 750?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**3 + 43*b**2 + 6*b + 41. What is m(11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 - 6 = 0, 2*l - 5*h - 17 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -72 - 115 + 13*f + 146. Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 546*o**2 - 377*o**2 + 361*o**2 + 538*o**2.\nAnswer: 1068*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 13 + 71. Let u = 116 + t. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1127160 (base 10) in base 7?\nAnswer: -12403116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1034\/5*v - 1032\/5 - 2\/5*v**2.\nAnswer: -2*(v - 516)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933029 is divided by 56?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -138 from 15366.\nAnswer: 15504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3774\/(-2244) - (-3)\/2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/2 + (-6)\/(-18)). Let z(y) = -y**3 + y + 1. Let v(s) = -2*s**3 + s**2 + 6*s + 7. What is l*z(m) - v(m)?\nAnswer: -4*m**3 - m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 559 and 404716.\nAnswer: 404716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3828782285 divided by -5\nAnswer: 765756457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*p*y + 30*c**3*p + 14*c**3*y - 2*c**3 - c**2*p*y + 16*c**2*p + 3*c*p + 2*p*y wrt c.\nAnswer: 12*p*y + 180*p + 84*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6274.3 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8 = 2*r - k, -2*k = 0. Suppose r*f - 3*f = -13. Let c = 25 + f. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2967.8178 months?\nAnswer: 2.4731815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.002?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1050*m**5 - 4659*m**3 + 28*m**2 + 75*m - 2908?\nAnswer: -63000*m**2 - 27954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-154)\/(-2233) + 4\/(-58) + 0. Solve b = 12*x + 36 - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2. Let a(j) = -3 - 410*j + 235*j + 6. Determine l(a(f)).\nAnswer: 91875*f**2 - 3150*f + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(1050)\/sqrt(6)) + (-5*3*sqrt(228))\/sqrt(12))**2.\nAnswer: 104044\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.5657 to 1 dp.\nAnswer: 31.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 93.878046 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 3*s. Suppose s = -4*h + w + 27200001, -27200005 = -3*h - h + 5*w. Suppose 3*p + h = 5*p. Round p to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -35962*t**2 + 35967*t - 3. Determine a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 53. Suppose 3*w = -a*w + 20. Solve 2*x = -0 - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 12*u**2 + 248*u - 448. Calculate w(23).\nAnswer: -563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1\/2*o**5 + 14*o**2 - 31\/2*o**3 + 0*o + o**4 + 0 = 0.\nAnswer: -7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8029, 32186, 72467, 128884, 201449, 290174, 395071, 516152?\n\"Answer: 2*b**3 + 8050*b**2 - 7*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 7*f**2 - 5*f + 0*f**2 - 16 - f**2 + 22 to the form a*f**2 + v + c*f and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151177 divided by 844.\nAnswer: 151177\/844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 240*r - 13848. Calculate i(58).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -10*z**2 + z - 3. Let r(y) = y**2. Let a(o) = -6*r(o) - u(o). Let c(b) = b**2 + b + 1. Give a(p) - 3*c(p).\nAnswer: p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-20)\/(-29)))\/((-7)\/(-245)*-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a7b948 - -8?\nAnswer: -a7b940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/(-44)*-1.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 32 - 2. Suppose 3*l = -2*l + g. Let k(i) = i - 4. Give k(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2 + 12*r + 6. Calculate h(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 2*c**2 + 3*c - 2. Let i be v(1). Let l be i*(-1 - (-1)\/2). Which is smaller: l or -2\/111?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1629 + -1601. Solve 66 = 19*o + g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-43)\/(-5) - 27\/45. Suppose 5*x - h - 5 = -3*b, 5*b + 15 = -x. What is the remainder when 18 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 152*i**2 - 6*i + 6. Is u(-3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*b + 10, -5*b - 4 - 8 = 4*x. What is the units digit of (-1 - -3)*6 - x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5*j - 18, 19 = 2*p - p + 5*j. Let b(o) be the third derivative of 17*o**5\/60 + o**4\/24 - 4*o**2. Does 8 divide b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:01 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 2. Let o be k(4). Let u be 28\/o - (-1)\/3. Let g = u + -3. Let w(i) = i**2 - 3*i + 1. Calculate w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 1930*z + 1058. List the prime factors of h(4).\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 544 - 547. Let v be (-356)\/178*1\/2*q. Find h such that 0*h + 0 + 0*h**2 - 5\/4*h**4 - 3\/4*h**v = 0.\nAnswer: -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s**(2\/27)*s)\/s))\/s*s)\/s**0*s**(-1)\/((s**(-2\/5)*s*s)\/s)*((s**(-6)*s)\/s*s\/s**(-5\/2))**(10\/11) assuming s is positive.\nAnswer: s**(-2891\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 - 32 = 21*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 476ab + 213?\nAnswer: 47902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -18729*a - 10. Let b be k(-1). Suppose 0 = -7*j + b + 5270. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 167781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - b - 8. Let y = 252 - 170. Let g = y - 42. What is the remainder when g is divided by k(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318843 smaller than 3507276\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/(-3478))\/((-24)\/16)?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p - 197*p - 308 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uru when three letters picked without replacement from {o: 1, c: 3, u: 3, r: 13}?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*r + 35*r - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 92. Let m(w) be the third derivative of 0*w - 4*w**a - 1\/8*w**4 - 1\/60*w**5 + 0*w**3 + 0. What is the second derivative of m(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53210 is divided by 73?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1726 is divided by 851.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -5 - (0 - (-9 - -2 - -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1803 + 19883\/11. Suppose -3*b + 2*b = -2. Calculate the common denominator of (b\/6)\/((-2)\/53) and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30155 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 406366851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 5*u**2 + 4*u - 2. Let f(c) = -c**3 + 4*c**2 + 3*c - 2. Let z(j) = 3*f(j) - 2*i(j). Let t be 2*(1 + -2)\/2*14\/7. Calculate z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112 - 0?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/((-4)\/12*-2). Suppose 166 = n*d - y - 0*y, -y - 274 = -5*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m + 42 + 3*m - 45)*((-4*m**2 + 0*m**2 + 2*m**2)*(-2*m + 0*m + 3*m) - m + 3*m**3 + m + (-6*m + m + m)*(-3*m**2 - 2*m**2 + 4*m**2)).\nAnswer: 65*m**4 - 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -21*a + 2682. Let p(o) = -o**2 - o + 38. What is the remainder when a is divided by p(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1222 and 15114918?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-22)\/33)\/(17\/((-8925)\/(-30)))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 40074174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-2)\/2)*7\/(-7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -1 - 17. Suppose w + 2*n = -g + 5, -4*n = -w + 2. Suppose w*a - 7*a + 20 = 0. Let h(j) = -j - 2. Determine h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167117?\nAnswer: 167117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 271921357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10459327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 5:54 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 504 (b) 1\/2 (c) 4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -0 - 234. Let w be 193 + s\/(-156) + 38\/12. What is the highest common factor of 84 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/5)\/((-150)\/125).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**3 - 12*o**2 - 4*o + 7. Let y(f) = f**3 - f**2 - f - 1. Let k(z) = j(z) - 3*y(z). Let h be k(9). What is the units digit of 5 - h - 8 - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59 + (17 + -18 - (-4 - -1) - (-26 - -35))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 535719287\nAnswer: 535719288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0029498 rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 3)*(y - y + y)*(-1 + 3*y + 1) - 22 + 22 - 10*y**2 to the form d*y + w*y**2 + u and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10465 and 12941019.\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 4. Let r(i) = -8. Let u(y) = 7. Let h(v) = 6*r(v) + 7*u(v). Let z be -1*1 - 40\/(-30)*3. Calculate z*h(j) - f(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.332988306 rounded to 2 dps?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(2\/(15 - 13))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.5424 minutes to milliseconds.\nAnswer: 5852544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516224)\/5232*7\/(-56).\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012643?\nAnswer: 3, 113, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -127 - -182. Suppose -r + 25 = -6*g. Solve -3 - 17 = -g*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/5 < 18508\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42345 + -4?\nAnswer: -42352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7722*d - 19379*d - 746*d - 6117*d - 9768*d.\nAnswer: -28288*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -15*p**2 - 31*p - 7. Let h(i) = 61*i + 61. Let t(n) = -3*h(n) - 5*o(n). Differentiate t(k) with respect to k.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x - 0*x. Suppose -2*k - 16 = -6*k. What is the lowest common multiple of k and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(363) + 4 + sqrt(363) - ((sqrt(363)*1 - sqrt(363)) + 1))**2.\nAnswer: 132*sqrt(3) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**2\/2 - 6. Let a = 3 + -7. Let m be t(a). Solve -3*g + 4*s = -m, 0 = -g + 5*s + 20 - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 34*i + 6829. Let h(y) = 31*y**2. Determine m(h(v)).\nAnswer: 1054*v**2 + 6829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 9935 = 5*r - 36*f, f = -3*r + 5977. What are the prime factors of r?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -108.00111. What is q rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i + z = 27*i - 8, -2*z - 19 = 5*i. Which is smaller: -30\/13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 384782*r + 206348 with respect to r.\nAnswer: 384782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253718, -507401, -761084, -1014767?\nAnswer: -1268450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 20*s - 28. Is r(-28) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - f**2 + 25*f + 4. Let l be a(6). Suppose -2*o = y - 81, -4*y = -10*o + 13*o - l. Calculate the greatest common factor of 17 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770 is divided by 854?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -761.04 plus -515.893?\nAnswer: -1276.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-16)*(-24)\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 66. Let j(x) = -x**3 - 4*x**2 + x. Let o be j(-4). Let t be 9 + (7 + o - 0). Calculate the greatest common divisor of t and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/5900752 and 21\/13871.\nAnswer: 572372944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclfcfscssssccffs. Give prob of sequence sl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -189, -275, -359, -441, -521, -599?\nAnswer: -675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 500380 at least 500339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2*t + 17. Calculate the remainder when a(0) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(-1*sqrt(432)*-3)**2*3.\nAnswer: 46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 6 - -1*1. Let v(n) = -n**2 - 10*n - 1. Let z be v(x). Calculate the highest common divisor of 32 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44453683 and 1016.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5966974285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 30*n**3 + 11*n**2 - 11*n + 15. Let s(v) = -10*v**3 - 4*v**2 + 4*v - 5. Let m(k) = 11*s(k) + 4*x(k). What is the first derivative of m(h) wrt h?\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 10*p - 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 + 0*s + 0*s - 8*s + 7. Let t be (-3)\/(-3 - 165\/(-50)). Is l(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 8*d**2 + 8*d - 8. Give i(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) + 0)*-1 + -4)**2 - (-4*(-2*sqrt(833) + 5))**2) + 3.\nAnswer: -52860 + 2296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-84))\/((-7)\/(7\/3)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35046 by 10.\nAnswer: -17523\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 173 - 172.6. What is the smallest value in -13\/6, p, 2?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 17 = -p, -t = 2*p - 0*p - 2. Suppose p*s = 2*s. Sort s, -3, 3 in descending order.\nAnswer: 3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 + -0.6. Suppose -5*o - 18 = 3*g, -3*o - 10 = -2*g - 3. What is the third biggest value in g, k, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.5 - 32. Let m = -0.1702 + -0.0298. Which is the nearest to -75? (a) j (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, i: 8, r: 2, d: 2, l: 2}. Give prob of picking 2 r and 2 d.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 10. Let r be m(12). Let i be ((-296 - r)\/(-3))\/2. List the prime factors of 1729\/i - 4\/14.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**3 - 71*d**2 - 17*d - 34. Let r be o(-14). Solve 19*j - 14*j + 10 = 5*i, 2*i + 2*j + r = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c**2 - 33*c + 4. Let r be j(6). Let k = 12 - r. Is 31 a factor of (k\/(-30))\/((-1)\/(-651))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306369*d - 3500 = 307244*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.38, 6, 5, 2.\nAnswer: -0.38, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93520*g**3 - 280558*g**3 + 93515*g**3 + 93520*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -30*m**2 - 1. Let x(k) = -k + 0 - 3*k - 58*k**3 + 5 + 59*k**3 - 3*k**2. Let f be x(4). Let o(b) = 0 - 2*b - 5 + f. What is i(o(v))?\nAnswer: -120*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p - 1. Let c(l) = l. Let h(k) = -22*c(k) + 2*m(k). Let d(w) = -4*w + 4*w - 2*w - 2*w**2 + 1. Let j be d(-2). Give h(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*i + 3*n, 2*i + 3*n = -2*i - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -6*(((sqrt(700) + 0 + sqrt(700))*-5 - sqrt(700) - sqrt(700))*2*-2 + 2))**2*4.\nAnswer: 345600*sqrt(7) + 232244100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) - (sqrt(11) - sqrt(11)*1)*-1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*951690\nAnswer: 9516.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_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: Simplify ((c**10\/c)\/c**(-1\/5))\/(c*c**(3\/7))**19 assuming c is positive.\nAnswer: c**(-628\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 794 - 794 + 8829*f**3 - 2*f**2 - 7957*f**3.\nAnswer: 872*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184428*l = -183906*l - 4698 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111 (base 2) to base 4.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31679.63 meters to centimeters.\nAnswer: 3167963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138249109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:08 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - 8\/28 - -1. Let k = -502.03 - -502. What is the second biggest value in l, 5\/6, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224175055?\nAnswer: 5, 13, 101, 34147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(2*u + 0*u + 0*u)*(-465*u + 465*u - 9*u**4).\nAnswer: 18*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - g - 65 = -5*u, 0*u + 12 = 6*u - 48 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 2*v + 2*v)*(14 - 20 - 13) to b + d*v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/442 and 115\/66.\nAnswer: 14586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*a + 2*a + 29*a as t + f*a and give f.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*b*k**2 + 4*a**2*b - 3*a**2*k**2 + 2*a*b*k**2 + 10*a*k**2 - a*k wrt a.\nAnswer: 8*b*k**2 + 8*b - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12347 rounded to three dps?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {z: 1, v: 1, j: 2, g: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.42203481 rounded to three decimal places?\nAnswer: -4.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4*i - i + 135 = 82, 0 = 3*x + 5*i - 4 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2577.6 rounded to the nearest 100?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2780*o**3\/3 - 58448*o**2\/3 - 59732*o\/3 + 1496\/3 = 0.\nAnswer: -1, 17\/695, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 3. What is h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 18*z - 2. Let d be i(3). Suppose 41*c - 45*c = 108. Let p = c + d. What is the remainder when p is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*d = f + 86, 3*d - 126 = -3*f. Suppose 3*p - 234 = -4*u + u, -2*u + 3*p + 181 = 0. Let m = u + f. What is the highest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83038727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + b - 1)*(3*b - 2*b - 2*b) + 27*b**2 - 631*b**2 + 107*b**2.\nAnswer: -498*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(3 + (2*sqrt(2904))\/(sqrt(84)\/(sqrt(7)*-1))))**2.\nAnswer: -2112*sqrt(2) + 15632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634205 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: Factor -1356*c**3 - 8008*c**2 + 20084*c - 10720.\nAnswer: -4*(c - 1)**2*(339*c + 2680)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*m - 675, -4*w = -6*m + 4*m - 654. Calculate the greatest common factor of w and 8080.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/5250 and 40\/30 - 454\/(-60).\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2612.04 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (48 + (-36 - 3))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 4. Let p be b(3). Let f(c) = -2*c - 2 + p. Let a(w) = -10*w**2 + 3 + 14*w**2 - 3 - 7*w**2. Determine f(a(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*b + 89*b - 50120 = -76*b. List the prime factors of b.\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335.557 litres in millilitres?\nAnswer: 6335557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10047 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 65840?\nAnswer: -13168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(325))**2*-4.\nAnswer: 2600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 39*t + 487. Let f be g(-12). Let o = 41 + -22. What is the highest common divisor of f and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-7)*d**(3\/4)\/d*d)\/(d*d**(6\/11)*d\/(d**(-5)\/d*d))*(d\/(d*d**2*d*d))**22*d*d**(-2\/7)\/d*d*d*d**(-2\/3)\/d*d assuming d is positive.\nAnswer: d**(-79231\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 589026837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*n**2 - 38*n**2 - 43*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 62, 4?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 1. Let q be d(0). Let k be (-3 - (q + -3))*0. Suppose -h - 4*s - 11 = k, h = -3*h - 2*s + 26. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.497164 - 101324630\nAnswer: -101324632.497164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50509910.\nAnswer: 2, 5, 11, 459181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 162 (base 10) to base 12\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -1 + 1 + 1 - 2. Let o(w) = -6*w + 18. Give 2*o(s) + 36*t(s).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 17491836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 130 = 5*f, -21576 = f + 5*s - 21440 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -0.07 (c) -2\/3 (d) -9.09 (e) -0.3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 5. Let f be u(-6). Suppose 0 = 5*l + g - 2*g - 13, -2*g - 6 = 0. Are f and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 5. Let z = a - -4. Let d be z\/7*(-3)\/9. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 + 91. Is 27 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**5 + 74941450*c**4 - 687*c**2 - 87461*c wrt c?\nAnswer: 120*c**2 + 1798594800*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/17 - 1606*s**4\/17 - 40020*s**3\/17 + 298304*s**2\/17 - 51776*s\/17 - 1591296\/17 = 0 for s.\nAnswer: -777, -32, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3*f - 20. Let j(i) = -2716*i - 388. Let w(g) = 2*j(g) + 14*m(g). Find the first derivative of w(d) wrt d.\nAnswer: -5474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 125*i**2 - 895*i + 144. What is v(-69)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/24*((-33)\/(-55))\/((-567)\/(-420)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30\/161 or 2.3134?\nAnswer: 30\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7633?\nAnswer: 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -200824?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from chmcmmhcyhmhhcc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4345*k - 18 = -4348*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -863, -2691, -6227, -12041?\nAnswer: -20703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 70, 0, 38 in decreasing order.\nAnswer: 70, 38, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 442*u**3 + 2*u**2 - 20*u + 11. Is v(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*1*sqrt(228))\/(-1*sqrt(12)*1 - sqrt(12)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 904\/7143 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 18 = 2*f + 2*y, 2*y = -5*f + 13. Let r be (-2 + 18)\/(f\/4). Calculate the highest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 500\/84 + 742\/147 + -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181847 + 181846.9533341. Let j = t + 0.0467. What is j rounded to six decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -17, -6, 23, 76, 159, 278?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r**(-8)*r)\/r*r)\/r)*r)\/(r*r\/(r\/(r*r**24))*r)*(r\/(r**(-11)*r))\/r**(-20) assuming r is positive.\nAnswer: r**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29, -41, -55, -71, -89?\n\"Answer: -h**2 - 9*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, x: 5, m: 2, t: 5, a: 5}. What is prob of picking 1 a and 1 m?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20ad (base 16) to base 12\nAnswer: -4a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 525 or 523?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**4 - 90*t**3 - 975*t**2 - 4500*t - 7500 = 0.\nAnswer: -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*z - z = 480, 4*y + z = 620. Let c be ((-4)\/3)\/(y\/(-18)). What is the third smallest value in c, 2\/19, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011329 to 4 decimal places.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -17. Let n = -1 + g. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 23*y + 24. Let f(r) = 231*r + 240. Let v(u) = -u**3 - 12*u**2 + 15*u + 5. Let w be v(-13). Let j(c) = w*m(c) + 2*f(c). Differentiate j(p) wrt p.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772954 is divided by 772927.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7c (base 13) to base 9\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*a = 27*a + 1285 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61968014 to the nearest integer?\nAnswer: 7872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 8*w + 2. Let s be a(1). Solve 0 = s*q + 14*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10)\/(((-1)\/1)\/(20\/(-4)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1311 + -1310.6. Let z = 7 - 3. What is the second biggest value in -4\/3, z, g, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2251 is divided by 317.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*u*(u**(1\/2)*u)\/u*u)\/u)\/u))**27 assuming u is positive.\nAnswer: u**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -711, -712, -713, -714?\n\"Answer: -n - 710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/12*(-4 - -10). Solve x*o + 4 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 + -1244 + 13 + -1 - -28?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**3 - 9*b**2 - 3*b - 4. Let m be j(5). Suppose -m = -3*l - 0. Suppose 4*g - 7808 = -2*r, -r + 3901 = g + l*g. Round r to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnrg when four letters picked without replacement from {g: 1, r: 2, d: 4, n: 3, t: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 10. What is q(-17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 21*g**2 + 25*g - 70. Let b be t(19). Let m = b - 537. List the prime factors of m.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 507 - 507.07. What is the closest to -1 in -0.3, -4, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**7\/525 + z**6\/150 + 7*z**5\/150 + z**4\/15 - 119*z**2. Let d(m) = 0. What is m?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343461593.\nAnswer: 1453, 236381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**6\/540 + 146*d**5\/135 + d**4\/108 - 292*d**3\/27 - d**2 - 7*d - 43. Let g(f) = 0. Calculate f.\nAnswer: -1, 1, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 23029200?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/19 in 2\/3, -3\/5, -1\/6, -74?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 25 = -5*p, 4*p = 2*w + 3*w - 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1442 (b) 16169 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -13. Let x be (-1)\/2 + 206\/(-4). Calculate the remainder when 24 is divided by (3\/6)\/(t\/x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - (sqrt(18) + -3*sqrt(18) + sqrt(18))) + sqrt(18) + sqrt(18))\/sqrt(6) - (sqrt(27) + sqrt(27) + sqrt(27)*-1).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186371 = -5*m - 4*z, -37285 = -2685*m + 2684*m + z. Does 60 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 16, 0.3, -0.33, 2, -115?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/106 and -73\/22?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = -5. Let p(o) = o**2 - 5*o + 5. Let b be p(4). Let w(m) = 9*m**2 - r*m**2 + m**2 + 3*m - b. Determine w(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-16 - (-15 + 7) - -6) + -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5\/3, -415, -66, -3 in increasing order.\nAnswer: -415, -66, -3, -5\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 11*r**6\/30 + 7*r**4\/12 - 11*r. Find the third derivative of o(b) wrt b.\nAnswer: 264*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + a**2 - 3. Let k be v(-2). Let o be -2*1\/k + 1972\/203. What is the greatest common divisor of o and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890404841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-81)*9\/12.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.83155 to 2 decimal places.\nAnswer: -6.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from gueugueeggee?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2019\/15 + (-2)\/(-5). Suppose -t = -4*t - m. Let y = -17 - t. Calculate the remainder when y is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239514 (base 10) to base 5.\nAnswer: 30131024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 0*f**2 - 42 - 11\/2*f**4 - 92\/3*f**3 + 0*f - 3\/5*f**5. Find the third derivative of t(m) wrt m.\nAnswer: -72*m - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -abdd7 (base 15) to base 16\nAnswer: -856c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (17037*i - 33957*i + 17302*i)*(i + 4 + 2*i**3 - 2 - i**3) as x*i + h + n*i**2 + v*i**3 + m*i**4 and give x.\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34214 - 364694 = -135*a. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/44 - (-30849)\/33. Let u = s + -616. Let z = 8119 - u. What is z rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 786216 = 109*z - 437*z. Which is greater: -9593\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4032 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -690 (b) -9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109485, -218831, -328049, -437139?\nAnswer: -546101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 319 or 312?\nAnswer: 319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33933*f**2 + 90062*f**2 - 12805*f**2 + 100265*f**2.\nAnswer: 143589*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 19 + 6945 = 5*w, 2*w = -2. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 35. Let b(r) = 28*r**2 + 2*r - 1. Is b(u) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 4 + sqrt(891) - (sqrt(891) - 1*sqrt(891)*1 - sqrt(891)))**2.\nAnswer: 144*sqrt(11) + 3576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -495, -2275, -5283, -9519, -14983, -21675, -29595?\n\"Answer: -614*z**2 + 62*z + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -713, -2987, -6821, -12215?\nAnswer: -19169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115617 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**3 + 30*z**3 - 56*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*c + 20, 3*i + i + c = 20. Let g = i - -2. Let r(q) = 7*q**3 + 6*q**2 + 6*q + 6. Let b(u) = 8*u**3 + 7*u**2 + 7*u + 7. Calculate g*b(a) - 7*r(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 514259 - 5?\nAnswer: 514254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 11*x - 30 = 0. Suppose 0 = -17*z + x*z + 30. Suppose 4*p + p = -i + z, 3*p - 2*i = 9. Solve -p = -w + 2*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - y - 8 = 0, -22*z - 5*y = -25*z + 26. Let t = -7 + 7. Solve z = -t*h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*z + 58. Let g(y) = -y**2 - 3*y + 7. Let h be g(z). Sort 2, h, 1 in ascending order.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 14241257.\nAnswer: 996887.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 17330015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 212108689 to the power of 1\/2, to the nearest integer?\nAnswer: 14564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s + s)*(5 + 10*s**3 - 5).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9445406 is divided by 442?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*x - 10*x**2 + 7*x**2 - 19*x - 219*x**3 - 7 - 22*x**2 wrt x?\nAnswer: -1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d - 23. What is the units digit of t(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/18*13\/4 and 1\/(1\/((-30)\/(-35))*-2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.4003 - -0.0303. Let g = y - -72.67. Round g to zero decimal places.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y**2 + 11440*y + 210144. Calculate v(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26456397.\nAnswer: 3, 11, 801709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 122*h - 23. Let z(k) = -180*k + 35. What is -8*q(l) - 5*z(l)?\nAnswer: -76*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/38555478 and -63\/338?\nAnswer: 501221214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let z(s) = 21*s - 6. Let l(j) = 4*j - 1. Give k*z(p) - 11*l(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f + 8. Let b be u(-6). Let c = 42 + b. Suppose -c = -2*p + p. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13778 is divided by 6045.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*p + 25 = 0, 4*y - 19*p - 10 = -24*p. Suppose -4*v - y*h + 137 = 0, 17 = v - 2*h - 1. What is the remainder when 130 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93492982 > -93492982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 22*m + 12. What is k(22)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 5*n)*(-3*n**4 + 0*n**4 + 6*n**4) + 58*n**5 + 55*n**5 - 32*n**5.\nAnswer: 66*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 424.\nAnswer: 424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.5 (c) 0.305\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*g + 40 = 0, -2*c - 97 + 63 = -4*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 546518425 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-46) + (-1121280)\/(-3426816)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684 and 10716?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 5)*(-7*k + 13 - 13) + 7*k + 11*k - 8*k.\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2 - 40*a - 36 = 0. Calculate a.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 8:11 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of 1\/2*n**3 + 0*n + 0 + 0*n**5 + 0*n**4 - 1\/60*n**6 + 2*n**2. Differentiate v(x) with respect to x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - -5?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 4. Let l be j(7). Let p be -2 + 2\/(l\/(-485)). Calculate the greatest common divisor of 38 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 6*a**2 + 6*a + 6. Calculate x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 3)*(0*t + 3*t - 4*t) - 5 - 2*t + 5)*(-13070*t**2 - 8204*t**2 - 2875*t**2 + 3771*t**2).\nAnswer: 20378*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/((-30)\/8). Let d = -249091 + 249097. What is the nearest to -7 in d, 4, n, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:55 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6.9999991. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Let d = m + -5. Which is smaller: 10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -731353.\nAnswer: -4\/731353","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, s: 2, c: 7}. What is prob of picking 2 s?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18454, 36671, 54888?\nAnswer: 73105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2959 + 2959.43. What is the nearest to -1 in i, -8, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 803802.4 micrograms?\nAnswer: 803802400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -743784 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 469852 divided by 2\nAnswer: 234926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 1, g: 1}. Give prob of sequence xl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {l: 2, a: 1, j: 1, u: 1, f: 2, b: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2. Let y = -19 + 21. Let p(s) = 15*s**y - 6*s**2 - 32*s + 32*s. Determine p(j(r)).\nAnswer: 81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11381 by -19.\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 3. Suppose -2*f - 3*x = f - 9, 0 = -4*f + 3*x - 2. What is the closest to -8 in f, c, -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 1140264*l - 107 - 1140273*l.\nAnswer: -9*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2940) + 3*sqrt(2940))*-4)\/(sqrt(132)\/sqrt(275) + (sqrt(132) - sqrt(132)*4)\/sqrt(11)).\nAnswer: 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 5. Let w be (z\/15)\/((-1)\/(-5)). Is w at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8)*s*s**23*s**(2\/7)*s**(-33))**(1\/4) assuming s is positive.\nAnswer: s**(-117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 1:41 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146961 and 2710614.\nAnswer: 24395526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4399121*c*g + 3282961*c wrt g?\nAnswer: 4399121*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(98)*-2 - sqrt(98))**2)*-4*4.\nAnswer: -14176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 2664*d + 590587. Determine p(-244).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + -21022?\nAnswer: -21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*3*(sqrt(7) + -1 + sqrt(343) - sqrt(252))*1.\nAnswer: -16 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:35 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*d**3*v*w - d**3*v - 4*d**3 + 2*d*v*w - d*w + 217*w wrt d?\nAnswer: 360*d*v*w - 6*d*v - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*c = -7*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 24208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + (-7)\/(-3). Let r(q) = q**2 + 2*q - 4. Let h be r(-4). Suppose -4*l = -5*l + h. Which is smaller: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102324 - 1?\nAnswer: -102330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**4 - 16*z**3 - 68*z**2 - 16*z. Let r(y) = -5*y**4 + 21*y**3 + 92*y**2 + 22*y. Let s(l) = -11*o(l) - 8*r(l). Factor s(w).\nAnswer: -4*w**2*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 96488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4250*i - 1. Suppose 0 = -4*x + n + 3 - 4, 4 = 2*x - 2*n. Is h(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -95.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m**2 - 4 + 2*m + 6 - 2*m**3 - 1 to the form s + b*m**3 + t*m + f*m**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/15, 1, -963\/17 in decreasing order.\nAnswer: 1, 1\/15, -5, -963\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22001 + -3?\nAnswer: -22004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:49 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 42 - ((11 - 10) + (-1 - -18))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8023 plus 0.2?\nAnswer: -8022.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 7*k - 10. Determine q(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*j**5 - 19*j**4 + 2219*j**3 - 509*j**2 - 13380*j + 11700 = 0. What is j?\nAnswer: -15, -30\/11, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25.86 and -0.04.\nAnswer: 1.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 + (-1 - 1 + 4)*(-1 + 0 - 1) + 1 + 0 + 3)*(3*n - 9*n + 11*n).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 862*i - 16283. Let y be g(19). Solve y*b - 405 - 165 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*o + 13700 = -1150. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*l + 6 = 14, -l = t - 11. Let f(p) = p + 6. Calculate f(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-326)\/(-4) + 3\/6. Let a = 167 - v. Let u = 60 - a. What is the common denominator of u and -39\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**3 + 2*r**2 + r - 4. Let n(v) = 53*v**3 - 8*v**2 - 3*v + 18. Let f(d) = -3*n(d) - 13*o(d). Determine f(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(204)*1*-1*5*-2)\/(((sqrt(84)*2 + sqrt(84))*-1)\/sqrt(7) + (4*-2*sqrt(588) + sqrt(588) - sqrt(588) - sqrt(588) - sqrt(588)) + sqrt(588)).\nAnswer: -5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4096*l - 4*f + 4 = -4092*l, 25 = l - 5*f. Solve -15 = -3*u + 5*i, 2*u - 10 = -l*i + 8*i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -5 (b) -9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 17. Let i(g) = g - 8. Let t(d) = -5*i(d) - 2*q(d). Is t(0) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/3 (b) 0 (c) 14 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 88.06470321191?\nAnswer: -84.06470321191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.75 + -0.05. Let z = -7380\/71 + 22069\/213. What is the nearest to z in l, 1\/2, -6\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -457092 by 25.\nAnswer: -457092\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25227911 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*f**2 + 2*f**2 - 8 + 6*f**2 + 9*f**2 to m*f**2 + b + o*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04376 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74204570 and 16864675.\nAnswer: 371022850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/15 - 23\/(-5). Suppose -45 = -i*k - 13. What is the greatest common divisor of 64 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101001011 (base 2) to base 14\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 26. Calculate b(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + a2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21658510 to the nearest integer?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 2*m**2 + 36*m + 72 = 0 for m.\nAnswer: -6, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -8 - -2) + 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2000 + 1369\/5*z**2 + 1480*z.\nAnswer: (37*z + 100)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c + 2*h = -17, -3*h - 3 = 0. Suppose 16*g - c*g - 1547 = 0. What is the remainder when g is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 77522786647 and -4.\nAnswer: 77522786643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-290)\/188 + -1 + 2. Let f = -56\/5 + 2642\/235. Let l = i + f. What is the nearest to l in 2, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, z: 5, h: 1}. Give prob of picking 1 m and 1 z.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -15. Suppose 674*f + 19 = 675*f. Suppose -q*c + 46 + f = 0. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: d73 (base 16) to base 9\nAnswer: 4645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.035 and -1942.\nAnswer: -1942.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**3\/5 - 7*h**2\/5 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 383046\/11 or 34823?\nAnswer: 34823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -962 at least -955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102220 + 122231?\nAnswer: 231111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*v - 3*q, 3*v = -v + 5*q - 1 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*b = 8 - 1, 2*b = -2*g + 4. Suppose -22 + g = 3*d + 4*m, -3*d = m + 7. Let w = 15 + d. Is 7 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/4, 0.2, -3, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*t + 155 = 1055 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 + -568\/3. What is the second biggest value in 0.06, x, -3\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -5*(0 + sqrt(175)))**2 + 0.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(5*f**5 - 6*f**5 + 25 - 4).\nAnswer: f**5 - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i + 89. Calculate p(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3451938, -3451955, -3451984, -3452025, -3452078, -3452143?\nAnswer: -3452220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/10 + l**3\/2 - 2*l**2 - 2*l. Let n(c) be the first derivative of q(c). Differentiate n(u) with respect to u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9 - 0)\/(-3) - 1. Suppose 83 = b*k + 1. Suppose 7*w = 2*w + 105. Calculate the remainder when k is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*d + 8. Let z = -8 + 6. Let r(h) = -5*h - 3. Let b(y) = 11*y + 7. Let n(a) = d*r(a) + z*b(a). Differentiate n(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30\/7 + -4. Factor 2\/7*n - 2\/7*n**3 + 0 - s*n**4 + 2\/7*n**2.\nAnswer: -2*n*(n - 1)*(n + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*p + 4*h, -3*p + 3*h + h + 26 = 0. Let s = 21216561\/931 + -22789. Let i = -1872\/4655 + s. What is the third smallest value in i, 0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 15*g + 16. Give m(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2083 - -1624.6. Let r = m + 458. Is -14 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/3)\/a)**(-28))**(-11\/6) assuming a is positive.\nAnswer: a**(-616\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74a85 (base 11) to base 4.\nAnswer: 122220322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6547 + 3038 = 5*l + z, 5*l - 9595 = z. What are the prime factors of l?\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -138.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (2*-6)\/3. Let q = -6 + 11. Suppose -2*v - q*b = 2*v - 14, f*v = -2*b + 8. Let j(s) = -s**3 + 2*s**2 - 1. Give j(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22006343.\nAnswer: 22006343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-135)\/125)\/((-6)\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1189*y - 988*y**5 + 324*y**5 - 278*y**5 wrt y?\nAnswer: -18840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 6*w**2 - 7. Suppose 3*d - 6 = 9. Let n be m(d). What is the highest common factor of 45 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277635 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(144)*-2*-4)\/sqrt(432))**2.\nAnswer: -32*sqrt(3)\/3 + 76\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 222503 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11017 - 11017.3. What is the nearest to 2 in 0.2, 0.07, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3173 - 2343 + y + 2*y**2 - 2057)*(-4 + 2 + 1) to the form t*y + p + s*y**2 and give p.\nAnswer: 1227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t = 2. Suppose 0 = -4*z - 2*c + 110, -2*z + 119 = t*z - c. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3312 + -3176. Calculate the remainder when 949 is divided by q.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 + 72.2. Which is the biggest value? (a) 4 (b) o (c) 1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.046 and -3430.5?\nAnswer: 157.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100110111100 + -101111?\nAnswer: -11110100111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z - 12. Let x(p) = -905*p. What is u(x(m))?\nAnswer: -8145*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*n + 48, -4*n - n + 27 = -3*f. Suppose -2*h = h - 18. Calculate the lowest common multiple of (-2 + 45\/10)\/((-1)\/f) and h.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2. Suppose 3*o - 10 = 23. Suppose 0 = 13*v - 16*v + 6. Let s(m) = -o*m + 3*m**v + 11*m. What is i(s(g))?\nAnswer: 27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -55 + 60. What is the greatest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-612) - 26994\/(-1683). Solve -d*a = -82 - 30 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643243 is divided by 321593.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**5\/5 + 14*n**4\/5 + 66*n**3\/5 + 136*n**2\/5 + 25*n + 42\/5 = 0.\nAnswer: -7, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**4 - 5324138*c**3 + 4724419996764*c**2 - 1397433041055571000*c + 9781799792635330096 = 0. Calculate c.\nAnswer: 7, 887354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*d - 136, 5*d = -5*w + 7*d + 112. Calculate the lowest common multiple of w and 66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3524, 4237, 4950, 5663, 6376, 7089?\n\"Answer: 713*a + 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 7379 + 13 = -4*n, n - g - 1841 = 0. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -176918*u**3*w**3 + 55782*u**3*w**2 wrt w?\nAnswer: -1061508*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + 158. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(((-135)\/(-18))\/(-5)). Let h = -13\/115 - 2\/23. What is the second biggest value in a, h, -6\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 1271*d - 1270.\nAnswer: -(d + 1)*(d + 1270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3529291?\nAnswer: 3529291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -536002.62 to the nearest 100.\nAnswer: -536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**3 + 2*l**2 - 1. Let p be x(1). Let h(v) = 2 - 3*v - 5 - v**2 + p*v. Let y be h(6). Solve 3*n - t + y = 0, -2*t + 1 = -2*n + n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - 1 - (-588 + 517).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*9\/(-6). Let p(v) = -v - 1. Let r(u) = -u - 2*u**2 + 0*u**2 + 3*u**2 + 2 + 3*u. Let q(j) = o*r(j) - 2*p(j). Let i(d) = -d. What is i(q(t))?\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/(-60)*(-10)\/4. Find the second derivative of -2*v - 9*v**5 - 21*v**4 - 12*v + 21*v**u wrt v.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5088446074?\nAnswer: 2, 227, 11208031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2773652417?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = 2*x, -5*i = 3*x - 0*i + 10. Suppose x*o - 2*l = -7*l - 20, o - 3*l = 12. Which is the closest to -1? (a) o (b) 6\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 + 2*v**2 - 2*v - 2. Let a(u) = 10*u**3 - 7*u**2 + 7*u + 7. Suppose 3*m = 19 - 40. What is m*n(o) - 2*a(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -9*q. Let d(m) = 9*m. Let o(w) = -2*d(w) - 3*g(w). Let c(h) be the first derivative of 32*h**3\/3 - 50073. Give c(o(l)).\nAnswer: 2592*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (48 - 53) + 53.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 154814 divided by 6?\nAnswer: 77407\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2857 - 7*o**2 + 2*o**2 + 115*o - 48*o - 159*o wrt o?\nAnswer: -10*o - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xcrcavccvxvc. What is prob of picking 2 c?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*g - 35 = -5*g, 4*g = 2*z - 98. What are the prime factors of (-54)\/2*(-60)\/z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -q - 12. Suppose 0 = -0*t + q*t. Suppose 15 + t = 3*d. Solve -3*k = -6*k - 3*n - 18, -4*n - 28 = d*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*r - 52, r + 5*x - 49 = -85. Calculate the common denominator of r and 361\/(-30) + (-2)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.003502.\nAnswer: -0.0007004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g - 2*g + 4*g + (3*g - 5*g + 0*g)*(-3 + 4 - 2) - 2 + 2 + g - 5151*g - 4804*g + 8103*g.\nAnswer: -1847*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 594313 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -29 + 6 + 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let o be (8 + -4)\/((-2)\/(-1)). Calculate the remainder when 29 is divided by h(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*l + 34*l - 5 + 6 + 17*l - 2.\nAnswer: 72*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439 - 492. Let t = k - -63. Calculate the lowest common multiple of (-9 + -2 + 4)*-1 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*u + 7783 - 4067 + 9256. Calculate the highest common factor of 517 and u.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 143. Let b(s) = 2*s - 89. Give 8*b(w) - 5*g(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -188 in 1\/37, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3837 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211804?\nAnswer: 2, 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1706798 + 3?\nAnswer: -1706795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -n - 5*q - 171, 0 = 4*n + 2*q + 630. Let k = n - -159. Solve -4*t + 18 + 2 = k, -5*p - 15 = t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 10:07 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/7 - -8 - -1909. Suppose -13*z = -40*z + d. Is 6 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 2. What is the third derivative of -b**g + 3*b**2 + 2*b**3 - b**2 + b**3 wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*j = -2, -5*v = -0*v + 4*j - 10. Suppose -3*y + v*y - 12 = o, 0 = y + 3*o + 22. Let r(g) = -g - 9. Give r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-20)\/f*f**(5\/2))\/((f**(-7)\/f*f)\/(f*f\/f**(-23)*f)) assuming f is positive.\nAnswer: f**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31452 is divided by 483.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from bsvssbdsv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.1973 rounded to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-960)\/(-9) + (-8)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 0.4 (c) 0.1 (d) -0.09329\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 53, 37, -13, -109, -263, -487, -793?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 151*d**2 - 1152*d - 199. Determine t(-143).\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781451 is divided by 441.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 8*x. Let b be z(7). Let f = 2 + b. Solve -m - 3*d = 5, 4*d = -3*m + d - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -37. Let s(l) = -l - 5. Let j(n) = i(n) - 6*s(n). Determine j(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8815033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9196 and 5?\nAnswer: -45980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81426, 81410, 81392, 81372, 81350, 81326, 81300?\n\"Answer: -b**2 - 13*b + 81440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 < 11978\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fquffffuffffqfu. Give prob of picking 2 u and 1 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*b = -173*b + 55 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 3739*f**6\/30 + 3185*f**2\/2 - 2451*f. Differentiate n(g) with respect to g.\nAnswer: 14956*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**3 + 8*n**2 - 8*n - 11. Let m(f) = -4*f**3 + 8*f**2 - 7*f - 10. Let k(s) = -4*m(s) + 5*x(s). What are the prime factors of k(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - n**2 - n - 1. Let v be z(-1). Solve 2*k = 2*c, -v*c - c = 5*k + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -461.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 2. Let a be s(1). Let l(x) = -x**3 + 5*x**2 - 2*x - 4. What is the smallest common multiple of l(a) and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.475456.\nAnswer: -1.426368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28671.369 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(396) + 0)**2 - (2 + sqrt(44))**2)*6.\nAnswer: -12528 + 288*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8313*v**2 + 16595*v**2 - 8308*v**2.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 13405*c**2 + 13400*c.\nAnswer: 5*c*(c - 2680)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 2161902*d - 389485021467.\nAnswer: -3*(d + 360317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 0*x**2 + 4*x**2 + (x - 2*x - x)*(0*x + 3*x - x) + 26*x**2 - 18*x**2 - 20*x**2 to the form f + q*x**2 + o*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - b**2 - 7*b - 8. Suppose -7*a + 5*a + 12 = 0. Let m be w(a). Round m to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10353112 to the nearest integer?\nAnswer: 3218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 86*n + 260\/3.\nAnswer: -2*(n - 130)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**5 + j**3 - j**2 - j + 1. Let a(i) = i**5 + 6*i**3 - 6*i**2 - 5*i + 6. Let z(n) = -a(n) + 6*t(n). What is the second derivative of z(q) wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(6\/7)*l\/(l\/(l\/(l**(2\/7)\/l)))*(l**(-1))**(-8\/11)*(l**(1\/3))**(1\/28)\/((l\/(l*(l*l**(-1\/6)\/l*l)\/l))\/l*l*(l*l**(-1\/6)*l)\/l) assuming l is positive.\nAnswer: l**(437\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 23*z**2 + 290*z + 4. Let g be t(-12). Which is smaller: -1893 or g?\nAnswer: -1893","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*m + 15 = 4*p, -p = 3*m - 20. Let x be (1 - 3)*(1 - 20). Let d = x + -19. What is the remainder when d is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 75 = 2*g. Let o = g - -18. Does o = 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -917.4 - -539.4. Is 4\/11 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 5178*t - 2029. Give k(1).\nAnswer: 3149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:43 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.877612712 to 3 decimal places.\nAnswer: -0.878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72 - ((-84504)\/(-924) + -20). Factor -36\/11 + o*p**2 + 30\/11*p.\nAnswer: 6*(p - 1)*(p + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 - -396. Suppose -h - 716 = -4*k. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 950138696.1 rounded to the nearest one million?\nAnswer: 950000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -4. Let m(g) = 2*g**2 - 6*g + 4. Let c(y) = -3*y**2 + 7*y - 3. Let x(h) = 3*c(h) + 4*m(h). Let d be x(i). What is d rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429 = 9*c - 174. Let w = 162 - c. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*u**5 + 822*u**4 - 2796*u**3 - 8610*u**2 - 5379*u - 420 = 0.\nAnswer: -1, -1\/11, 7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12971*u. Let o(l) = -2*l**2. Give c(o(d)).\nAnswer: -25942*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 - 7490*b + 59600 = 0.\nAnswer: 8, 1490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3 + 106955*k**2 - 11*k + 531 wrt k.\nAnswer: 12*k + 213910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 18270?\nAnswer: 73080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17048393 + 2?\nAnswer: 17048395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 18*u + 37. What is the lowest common multiple of 2 and g(17)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (59 - 23) + -34?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 295911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -8\/3*i**3 - 6 + 0*i + 0*i**2. Let k(v) = -2*v**2. What is m(k(w))?\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + 0. Let p = 3.01 + w. Let u = -3.8 + 0.8. Which is the second biggest value? (a) u (b) 0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -1. Suppose 0 = 3*p - 8*p + 5, 0 = -l*s - 3*p + 21. What is the derivative of -6*u + s*u + 2*u**2 - 2 wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2535?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -23*z**2 + 11*z - 62. Let g(l) = 8*l**2 - 4*l + 21. Let t = 11523 - 11517. Determine t*u(a) + 17*g(a).\nAnswer: -2*a**2 - 2*a - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 1673*f**4\/8 + 1803*f**2. Let q(x) = 2*x. Give l(q(n)).\nAnswer: 10038*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-126 + 36 - 17)*(2*h - 6*h + h)*(-4*h + 4*h + h - h + 0*h + 6*h + (-3 + 0 + 2)*(h + 0*h + 0*h)) - 6*h**2 + 6 - 6 as c + f*h + a*h**2 and give a.\nAnswer: 1599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 x when four letters picked without replacement from {g: 3, x: 7, l: 2, w: 5}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - u**2 + 5 - u**2 - 2*u**3 + 10 to h + w*u**3 + a*u**2 + x*u and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 11\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 6) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1453 by 1.\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1440, -2853, -4264, -5673, -7080?\nAnswer: -8485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q - 8. Suppose -5*b = -4*w - 4*b + 77, 3*w - q*b = 59. Let r = w - 19. Sort 5, 1, r, 2 in decreasing order.\nAnswer: 5, 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 59.7368 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -500 - -1533?\nAnswer: 1033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -9, 0 = -3*j - 2*j + 3*a - 16. Let q(b) = 10*b**2 - 5*b - 6. Let v(u) = 9*u**2 - 4*u - 5. What is j*q(m) + 6*v(m)?\nAnswer: 4*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + (sqrt(136) - sqrt(136)*-1))*-5 - -2*(sqrt(136)*-2 - sqrt(136)))\/(5*1*(-1*sqrt(72) - sqrt(72))).\nAnswer: 7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -79c426 (base 15) to base 5\nAnswer: -2442001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*u + 461 + 84 = -129 - 47 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4*w**3 + 9125*p**3*w**3 - p**3 - 761*p**2*w**3 + 3*p**2*w**2 - 27*p*w**2 + 2*w**3 wrt p.\nAnswer: -48*p*w**3 + 54750*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x**2 + 5*x - 3*x**2 + 6*x**2 - 4. Let s be a(3). Suppose -s*v - 10 = -0, 36 = 3*d - 3*v. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (3 + (-120)\/3)\/(6\/(-19584)*4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 10 + 4)*(0 + y + 0)*(0 + y + 0 - 2*y**2).\nAnswer: 30*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h**2 - 39*h + 112. Let a(q) = 26*q**2 + q. Calculate the smallest common multiple of a(-1) and k(4).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40509344609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.7 + -2.3. Let n = -14.1 - q. Suppose -4*y + 18 = 2. Which is the nearest to n? (a) 2 (b) y (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11721.0067184 + 11721. What is x rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(20))**2*-2 + sqrt(5) + -4 + 4.\nAnswer: -40 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.38937 to one dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -768 - -771. Suppose 1 = -i + 4. Factor w*q**i - 133 + 133.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*q + 8928 = -107*q + 259*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*r. List the prime factors of 45 + r + 3 + 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(272)))**2 - (sqrt(272) + -1)*-3.\nAnswer: -244*sqrt(17) + 4413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43932 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 580.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -25, -6, -10, 30?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a**2 + 3*a + 5. Let o be b(4). Let c = 155 - o. Is 1\/(2 - 3) + c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 120 = -0*l. Suppose 4*p - l = -p + 3*y, -p + 8 = -y. Suppose 2*f - p*c = 16, -5*f + 53 = -c - 0*c. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**3*p**2 - 1036*m*p**3 + 1403723*p**3 with respect to m.\nAnswer: 15*m**2*p**2 - 1036*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*s + 4. What is the third derivative of 2*t**5 + 2*t**2 + s*t**4 - 2*t**4 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39486 divided by -953.\nAnswer: 39486\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1003*p**3 + 3*p**2 - 14*p - 4. Let c(j) = -1002*j**3 + 7*j**2 - 16*j - 5. Let z(t) = 4*c(t) - 5*o(t). What is the third derivative of z(u) wrt u?\nAnswer: 6042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 8*h - 949*h**3 + 932*h**3 + h**2 + h**2 to the form y + s*h**3 + c*h**2 + g*h and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, t: 13}. Give prob of sequence dt.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/11 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 + 0*k**4 + 0*k**4 + (k - k + k)*(93*k**3 + 46*k**3 + 82*k**3).\nAnswer: 220*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 554950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2 - 39006*r - 78024 = 0.\nAnswer: -2, 13004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3336*b + 296912. What is t(-89)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**1*f*f*f**5)\/(f**(-1\/2)*f)**(-1\/32) assuming f is positive.\nAnswer: f**(513\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 8. Suppose 0 = 5*v - 6 + 1. Which is the biggest value? (a) v (b) 0 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3403769?\nAnswer: 31, 59, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -36147842 minus 0?\nAnswer: -36147842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6367.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g - 53394 = -8*g. Is g a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 201 = 6. Let u be k - -1 - (-10)\/5. Calculate the greatest common divisor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 2*h**2 + h. Let j be v(2). Suppose -b = -4, 5*z + 0*z + j*b = 33. Suppose -z*y = -2*y + 12. Let f(d) = d. Calculate f(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5468*g**3 - 5459*g**3 - 5 - 3*g**2 - 4)*(2*g**2 - g + g + (g + 1 - 1)*(-g + 4*g - 5*g) + 0*g + 0*g - g**2).\nAnswer: -9*g**5 + 3*g**4 + 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6*13\/(-156))\/((290\/500)\/29)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18804.\nAnswer: 2, 3, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - -23 - (0 - -8 - -39 - 9)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205500 is divided by 15788.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 892*z - 155 = 887*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/12 + (-6)\/4. Suppose 4*t - 2 - 10 = b. Let m be ((-4)\/(-6))\/((-3)\/(-9)). Solve t*y + 2*d = -1 + 3, -3*d = -m*y - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/24 + 3*j**3\/2 - j**2. Let l(b) = -5*b + 2. Let n be l(2). Let h be z(n). Put -4, h, -1 in ascending order.\nAnswer: -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3248\/40 - 5\/25) + -8. Solve 4*h = -r + 97 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + f**2 + 9*f + 6. Let v(k) = 8*k**3 + 4*k**2 + 26*k + 17. Let h(w) = -11*l(w) + 4*v(w). What is h(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/((8\/(-50))\/((-854938)\/395)).\nAnswer: 5, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156800.238 hours in weeks?\nAnswer: 933.33475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-876)\/(-16))\/(1\/(-36)). Let h = 26807\/15 - x. Calculate the common denominator of h and -109\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102350 is divided by 78.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 101, -0.06, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -216 + 513. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1893044582.\nAnswer: 2, 11, 13, 131, 50527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 332956 - 161?\nAnswer: 332795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {o: 2, k: 4, r: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 46.12, -2, -0.06?\nAnswer: 46.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 417, -464, -3329, -9120, -18779, -33248?\nAnswer: -53469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 340\/14 + (-2)\/7. Let q(f) = -2*f - 2. Let k be q(-5). Let c = v - k. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2*t - 8. Let n be d(-8). Suppose 2*i = -4*x + 34, 4*x + n - 11 = 5*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2*u**5 + 2*u + 0*u - 2*u**2 - 2 + 2*u**2. What is the first derivative of h(k) wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282 + -162. Suppose -3*p - 2*p = -v. Suppose 0 = -3*n - n + 24. What is the highest common divisor of n and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 39*t**2 - 153*t - 315. What is n(-35)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 69?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 510.5 to the nearest 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.0777 * -0.64\nAnswer: 0.689728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 2 (c) -3\/4 (d) 7197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3188, 6420, 9666, 12932, 16224, 19548, 22910, 26316?\nAnswer: 29772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at least 651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, -67409 in descending order.\nAnswer: -4, -17, -67409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -14.6. Let s = 1.6 - n. Which is the closest to s? (a) 0.4 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6 - 2*l**2 + 4*l**2 - 2 to p + g*l + t*l**2 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 114, -0.5, -1071.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188383\/3143 + 36\/449. Let v = y + 60. Is -1\/32 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-1245*(-20)\/50))\/(1*(-8)\/12).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6105 and 90687.\nAnswer: 4987785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2. Let l(c) = -28*c**2 + 3*c + c - 3*c + 9*c**2 - 3*c. Determine h(l(v)).\nAnswer: 1805*v**4 + 380*v**3 + 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, -327, -1063, -2181, -3681, -5563?\n\"Answer: -191*o**2 + 219*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-144)\/(-15) + (-2)\/(-5). Let g be (-2)\/x - 174\/30. Let n(q) = q**3 + 6*q**2 - q + 2. List the prime factors of n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 730 + 238 = 0. Let t = -56 - b. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*z**2 + 4*z**3 - 381*z**2 - 151*z**2 - z**3.\nAnswer: 3*z**3 - 488*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*a = -r - 157*a - 2, -2 = r - 4*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-6*-2*sqrt(20)\/sqrt(2))\/(-5*-2*sqrt(245)))**2.\nAnswer: 6197\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3*i**3 - 3)*(90245 - 179074 + 98245) to the form b + c*i**3 + a*i**2 + l*i and give c.\nAnswer: -28248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let g(q) = 6*q. Let m(z) = 2*z. Suppose -30 = v + 4*v. Let c(i) = 3*i + 11. Let o be c(v). Let w(h) = o*m(h) + 2*g(h). What is f(w(y))?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313175 (base 11) to base 6.\nAnswer: 14432010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.962 - -0.362. Which is the second biggest value? (a) v (b) 1\/2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.879 + -0.121. Let i = 25.2 + l. Which is the closest to i? (a) 3 (b) -1\/3 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29193360 by -28.\nAnswer: -1042620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w + 2. Let j be s(1). Let q be (224 - -1)\/j + -2. Round q to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqaaxqnxataf. Give prob of picking 2 a.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 516690.8.\nAnswer: -206676.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 2*n. Let t(f) = f**3 - 8*f**2 + 6*f + 3. Let i be t(7). Calculate the lowest common multiple of w(i) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1908*s**5 + 4241677*s**3 - 4241677*s**3)*((1 + 4 - 4)*(-3 + 3 + 1) + 3 - 1 + 0).\nAnswer: 5724*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189767669 and 1246.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/6 + j**3\/2 - 2*j**2 + 2*j. Let i be h(-3). Suppose -3*m + y + 186 + 14 = 0, -5*m - i*y = -360. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-144)*6)\/((56\/(-4))\/504)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26 + 12267\/(-493) + (-4)\/34. Sort t, 8, -2, -3.\nAnswer: -3, -2, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6561975115 - 6561974822.0000173. Let u = 222 - 515. Let a = u + f. What is a rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220621397?\nAnswer: 349, 632153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/1*1. Suppose 3*b = -2*v + 1, 0*v + 5 = 3*b - 2*v. Sort -5, i, b in descending order.\nAnswer: i, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dckdcccvkdcv. Give prob of sequence cv.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/293603865 and 167\/154528350?\nAnswer: 2936038650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4352191 divided by -101\nAnswer: 43091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-195)\/10*(-2)\/3. Suppose y*p + 63 = -54. Let a be (-3)\/p - 301\/21. Which is greater: -2\/3 or a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y - 12. Suppose 0 = -2*t + 4 + 20. Let q(i) = -i - 5. What is t*q(k) - 5*l(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w + 24. Let u(h) = -5*h - 11. Let k(i) = -3*n(i) - 5*u(i). Let x be k(-7). Is ((-767)\/(-1) + x)*(-14)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/3 + 20*x**3 + 128*x**2 - 1024*x\/3.\nAnswer: 2*x*(x - 2)*(x + 16)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62984979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saml when four letters picked without replacement from {j: 6, t: 4, m: 3, s: 1, l: 5, a: 1}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-21)\/(-4). Let s(f) = -4*f**3 + 6*f**2. Let n(y) = y**3 - 2*y**2. Let q(c) = m*s(c) - 14*n(c). Find the third derivative of q(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - s + 2 - 2 + 2. Let t be p(-3). Is (53\/t)\/((-2)\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 3*g**2 + 1567*g - 6269. Determine a(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7512802 to the power of 1\/2, to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {s: 8, b: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/816 and 37\/12.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - o + 6*o - o + 8*o + 5*o + (0*o + 3*o - 5*o)*(-3 + 1 + 3).\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011 (base 2) in base 9?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/984 and -13\/2757.\nAnswer: 904296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddiddiidi. Give prob of picking 2 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 50. Solve -3*s - 22 = -4*y, -y - 3*y = -k*s - 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -2)*(-36)\/(-27). Let s be (5\/(-2) - v\/(-2))*-8. Suppose -2*i = -s*i + 158. List the prime factors of i.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830 = 20*s - 15*s. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(55))\/sqrt(5) - (sqrt(11) + sqrt(132)\/(sqrt(12)*2)).\nAnswer: -7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:52 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 3*l + l**2 + 0*l**3 - 2*l**3 in the form j + w*l**3 + v*l**2 + s*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -245561.91 to the nearest ten thousand.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence as when two letters picked without replacement from {a: 3, s: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34615, -69215, -103815, -138415, -173015, -207615?\n\"Answer: -34600*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + 3. Let d = -0.6 + i. Let k = 7 + -12. Which is the third smallest value? (a) k (b) 1\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7.4 (b) -2\/11 (c) 5 (d) -120 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71940861 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-24))\/((-16150)\/(-5168))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7428*n + 3032*n - 118739 - 30725 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 1.1. Let k = -191 - -1339\/7. Which is the nearest to m? (a) -1\/5 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + sqrt(3))*6)**2.\nAnswer: 4608*sqrt(3) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 848\/11 < 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1519155 and 12.\nAnswer: 6076620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -933*x. Let u(p) = 7*p. Calculate l(u(f)).\nAnswer: -6531*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*o**2 + 303*o**2 + 181*o**2 to the form y + d*o**2 + j*o and give d.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 22*f - 19. Let k be h(-22). Let o = -21 - -42. Let m = o + k. Solve 3*u + 4 = -m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t - 1. Let m be x(1). Suppose 5*d = m*u - 19 - 7, 2*d - u = -11. Let s = -4 - d. Solve 4*o + 3*w - 25 = s, -4*w = -5*o + 9 - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119690034 - -1.092.\nAnswer: -119690032.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-23 - -10 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**4 - 298350*q**3 + 22137719533*q**2 + 17223908399100*q + 3332815941458116 = 0.\nAnswer: -386, 149561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 551 - 540. Solve -6 = a - w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - j = -6, 4*k - 9 = 7*j - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -4573809?\nAnswer: -16\/4573809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 3*s = -51*n + 49*n + 20, 8*s = -4*n + 40 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 15 = 0, h - 18 = -4*z. Let j(i) = -3*i**2 - 4*i - 3. Determine j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7))**4\/(a\/a**0)**(-13))**(-26\/5) assuming a is positive.\nAnswer: a**(-2574\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 49*g - 14968 - 30627 = 0. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1819198?\nAnswer: 2, 909599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174119 is divided by 87050.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**4\/12 - 2*w**3\/3 + 5*w**2. What is the least common multiple of l(8) and 2*(-5 + (-4 - -17 - -6))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y - 5*a - 41 = 0, 56 = 5*y + 3*a. Let j = y - 10. Sort -6\/11, 5, j in ascending order.\nAnswer: -6\/11, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*v - 13*v - 2*v + 44*v + (2 - 3 + 0)*(v + 0*v - 2*v).\nAnswer: 47*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + (sqrt(342) + sqrt(342)*-1 - sqrt(342))\/sqrt(9))\/(sqrt(8)\/sqrt(4)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -123214, 1, -5, 2 in descending order.\nAnswer: 2, 1, -3, -5, -123214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2146153, -8584724, -19315715, -34339132, -53654981, -77263268, -105163999?\nAnswer: -137357180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -81 (c) -3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38136 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 29*d - 26*d + 196, -82 = -2*g + 3*d. Suppose 0 = -2*y - 3*j + 88, -46 = y - 2*y - 2*j. What is the highest common divisor of g and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19408?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -461050852 - 321.8?\nAnswer: -461051173.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.02846 months to centuries.\nAnswer: 0.01335705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -366*444203.\nAnswer: -162578298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 505 and 326735?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 1:03 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1640*s**3 + 1149*s**3 + 319*s**3.\nAnswer: -172*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1130\/8)\/5*(-9)\/(387\/(-172))\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466b20 (base 13) in base 14?\nAnswer: 317285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 543.4905 months?\nAnswer: 0.045290875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) 0.5 (c) -2\/25 (d) 0.0794915\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + (-87)\/60. Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*l = 71*l + 20. Suppose -2*a = r - 13, -5*a + 7*r = 2*r + l. What is the greatest common divisor of a and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26251550 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y**3 + 7*y**3 + 7*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.89 - 6.81. Let r = i - -9. What is the closest to -1 in 5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1072 > 1071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000338632768 rounded to 6 decimal places?\nAnswer: -0.000339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-4 - 18) - (-18 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 5?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75*b - 1999 + 1999)*(2 + 1 - 4) to the form a*b + z and give a.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 9*f + 9. Let h be s(7). Let q be ((-44)\/16)\/(h\/(-80)). What are the prime factors of (-22)\/3*66\/q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 33. Let s = f + -17.4. What is the third biggest value in s, -5, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.48, -7, -0.5, -4, 18\/13 in ascending order.\nAnswer: -7, -4, -0.5, 18\/13, 2.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 4*m + 4. Let g(j) = 91 - 34 - 3*j**3 - 37 - 31 + 11*j. Determine 4*g(z) + 11*y(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -34776*g**2 + 3206*g**2 + 3327*g**2 in the form s*g + j + a*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:36 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42757099?\nAnswer: 7, 11, 555287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 13305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 12:43 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -97*k + 87*k + 578, 3*x + 0*x = -3*k + 168 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6790000 to the nearest 100000.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -705, -1063, -1439, -1839, -2269, -2735?\nAnswer: -3243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-350)\/105*(-1155)\/550?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1920\/72)\/20*(-720)\/(-30)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1323 - -759. Let w = j + 587. Solve -3*b - 7 + w = 2*v, 0 = 5*b + 3*v - 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 70*a - 173*a**2 - 6738 + 46*a + 6738 + 173*a**2.\nAnswer: -a**3 - 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*h**2 - 447*h - 446*h - 1 + 1331*h - 445*h.\nAnswer: -120*h**2 - 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 + 1452\/60)*-5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 17*h**3 + h - 1. Determine v(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -776 - -2290. What are the prime factors of n?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5109*m**3 - 483 - 5115*m**3 - 629 - 2228*m - 1120*m**2 + 10220*m**3.\nAnswer: -4*(m + 1)**2*(m + 278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 32*f**2 - 9*f + 9. Let m be i(1). Let a = m - 27. Suppose x = -a*l + 976, -2*x - 3*x = -l + 190. Is l a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*q + 5435 = 5363 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - t - 3. Suppose 2*b + 2*a = 14, b + 3*b + 2*a = 24. Let l be 1 + (-1 - b - -2). Give r(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 2. Let y be q(0). What is the derivative of 2 - 2*o**2 + 0*o**y - 2*o**2 wrt o?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -35*2*(-4)\/14. Suppose -c - 5*m + 2 = -39, 0 = -4*m + n. Solve -u - 4 = 0, -l - 3 = -2*u - c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225824.\nAnswer: 2, 7057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1930*p. Let t(q) = 4*q**2. Determine u(t(v)).\nAnswer: -7720*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 11094379?\nAnswer: 11094383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 426535 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 51309636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -15. Let l(n) = -n - 19. Let d be l(m). Let w be (d\/(-8))\/1 + (-1)\/2. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*(-12)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.25 (b) -0.5 (c) 5\/4 (d) 0.192 (e) 0.5 (f) -18 (g) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 310223310 (base 4) to base 16\nAnswer: 34af4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 993467611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/22 - 1128\/(-1848)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -194, -196, -198?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3252315 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 5:45 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 7*s + 3. Let v(j) = -1 + 2 + 7*j + 3. Let y(x) = -4*f(x) + 3*v(x). Suppose 50*t - 5*t - 79 + 34 = 0. Give y(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 10\nAnswer: 39\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**3 + 33494*o**2 - 3913106*o + 1948180 = 0?\nAnswer: 1\/2, 118, 8255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4936 (base 12) to base 7\nAnswer: -33024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2150222\/(-30291) + 4\/(-276).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 20232.45 seconds?\nAnswer: 0.033453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 450792*p - 2704749. Give l(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 6*b - 45.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17150 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261 and 25673304?\nAnswer: 2233577448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15\/3559 in -5, -2\/3, 0.3, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 + 2*f**3 - 6*f)*(-3*f**2 - 4*f**2 + 5*f**2)*(-9 - 11 + 1).\nAnswer: 76*f**5 - 228*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -343\/8 - -2169\/56. Calculate the common denominator of -67\/9 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/5)\/t)**(-1\/53)\/(t**(-3\/2)\/t)**(-26))**(-36) assuming t is positive.\nAnswer: t**(619956\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1368 + -793. What are the prime factors of h?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/793, 2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450846.\nAnswer: 2, 725423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 15 - 84*d - d**3 - 44 + 18.\nAnswer: -d**3 - 84*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -179*q - 125*q - 40*q + 1. What is the units digit of j(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164966080670 + 3293\nAnswer: -164966077377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -12 - (5 - 6) - (-72)\/(-14)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4760 - -22?\nAnswer: 4782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1064*r**3 + 4*r**2 - 11*r + 8. Let h(v) = v**3 - v**2 + v - 2. Give -4*h(a) - q(a).\nAnswer: 1060*a**3 + 7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k*p**4 + 2*k*p + 261*p**4 + 566*p**2 wrt p.\nAnswer: -48*k*p + 6264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69377 or -69378?\nAnswer: -69377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 5*q - 5. Let k be v(5). Let n be (2\/(-5))\/((-8)\/k). Solve 4*x - 3 - n = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -8865.48.\nAnswer: -195040.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17998 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21\/16 + -1313\/976. Are -1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/6 + 3*k**2 + k. Calculate the smallest common multiple of n(-2) and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5641184 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o**2 + 634*o + 79. Let p be f(-34). Put -5, 5, p in descending order.\nAnswer: 5, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -6*p**4\/5 + 35874*p**3\/5 - 322524*p**2\/5 + 859776*p\/5 - 114624 = 0.\nAnswer: 1, 4, 5970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -335032623588 and -3.91?\nAnswer: 335032623584.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 7*v - 3. Let h be k(5). Suppose -132 = -3*p + h*p. Let n = -28 - p. Solve n*c - 14 = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011000101110001001010 (base 2) to base 9.\nAnswer: -10366622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*o - 2*o - 763, 3*v = o + 757. Let r = 716 - v. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14\/13, 5, 0.4, -1\/30, 11 in decreasing order.\nAnswer: 11, 5, 14\/13, 0.4, -1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 60a130 (base 12) in base 6?\nAnswer: 52212500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20308723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 70 = -24*f + 20*f, 2*f = -3*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 119, 230, 343, 458, 575, 694, 815?\n\"Answer: s**2 + 108*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 118\/10 - 6\/(-30). Calculate the highest common factor of 96 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 + 23*c**2 - 15*c + 17. What is the tens digit of s(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323 - -473. Calculate the remainder when f is divided by 88.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -2*f**4\/3 + 5*f**2\/2 + 9*f. What is the first derivative of h(l) wrt l?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925980 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from vuvvuvvyrvmuvrvu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188494 or -188623?\nAnswer: -188623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35146 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12033, -24053, -36073, -48093?\nAnswer: -60113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 2*g**2 + 5*g - 5. Let i be z(3). Factor i - 22*u**2 + u + 21*u**2 - 1.\nAnswer: -u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2203899898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*x**3 - 1293 + x**2 + 6*x + 1293 in the form p + v*x**2 + c*x**3 + l*x and give c.\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/4 + 91*f**3\/3 - 1320*f**2 + 24768*f + 1877. Solve o(j) = 0 for j.\nAnswer: 24, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from oqqtgeoeqqxgoo.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 829319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.05, -0.0608, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15144 - -520?\nAnswer: -14324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 6 = -2*t. Suppose 35 = 7*d - t*d. Suppose 0 = -3*h + 22 - d. Solve -4*z - i + 2*i = -h, -11 = 2*z - 5*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*a*f**2 + 27*a*f - 2*a - f - 323 wrt f?\nAnswer: 28*a*f + 27*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43223 * 3\nAnswer: -129669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7452 divided by -162?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 287425?\nAnswer: 28\/287425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**6\/480 + m**5\/160 - m**4\/16 - m**3 + 2. Let v(l) be the third derivative of z(l). Solve v(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*d*f**4 + d*f**2*r + 21*d*f**2 - 2*d*f*r - 2241*d + 42241*f**4*r - 5*f**4 - 2*f**2 wrt f?\nAnswer: -144*d*f + 1013784*f*r - 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/20*1*-4. Suppose -t = n*y, 0 = y - 2*t - 8 + 1. Calculate the least common multiple of 4 and 9\/((-18)\/(-16))*y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32 - 406631?\nAnswer: -406577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1825 - -1825.9995. Let d = 1076 - 1077. Let p = d + x. What is p rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + -3 + 0 - -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11122021 + -1?\nAnswer: -11122022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -706 by -2.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 212*d - 652. Determine p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-20)*(0 + 4). Let a be 543\/(-5) + (3 - j). Let o = 107 + a. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1851*z**4 - 34*z**4 + 1855*z - 4351*z - 3475*z wrt z?\nAnswer: 21804*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -252*l + 154. Let i(v) = -2142*v + 1309. Let c(m) = -5*i(m) + 42*u(m). Differentiate c(j) wrt j.\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20829489, -41658953, -62488417, -83317881?\nAnswer: -104147345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -27 in increasing order.\nAnswer: -27, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 9. Let r = v + -1. Solve 5*j + 20 = -0*p - 5*p, r*p - 2*j = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -1\/12, 171\/5, 0.3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 413*i**2 - 413*i**2 + 85*i**3 + (-3*i + 5*i + 0*i)*(-375*i + 375*i - 24*i**2) to the form d*i**3 + k*i**2 + f + r*i and give d.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 16 = d + 2, 5*f = 3*d + 14. What is the highest common factor of 20 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Suppose -3*i = -3*p + 18, 7*i = -3*p + 3*i - 3. Solve -15 = 3*d + g*z, -p*z = -0*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(16)\/sqrt(2)*6)\/(-2*sqrt(64))*1)**2*-5.\nAnswer: -405\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56672 and 616.\nAnswer: 56672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10*j + 10 = 0. Let b be (j*2\/(-8))\/((-4)\/(-680)). Suppose b = -3*g + 376. List the prime factors of g.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/113? (a) 6 (b) 2\/19 (c) -7 (d) 26.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 766348 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/14 - -3)*2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*v = -41, -15*v - 281 = -5*c - 19*v for c.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c**2. Suppose 69 = 4*f + 5*k, -12 + 39 = 2*f - 5*k. Let v = f - 14. Let i(a) = 59 - 59 - v*a. Calculate i(z(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2520, -5007, -7496, -9987, -12480?\n\"Answer: -y**2 - 2484*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -329\/4? (a) -1 (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.083713 millilitres?\nAnswer: 0.000083713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 6.573506\nAnswer: -13.147012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.6439268 and 0.12.\nAnswer: -1.5239268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -4 + 21*-5. Let s be 2*(3 - u\/(-32)). Does s = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - 5 = 0. Let q be a\/4 + 49\/4. What is the second derivative of -c**4 - 2*c**4 - 3*c - 5*c**4 + q*c wrt c?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 436 = -6*y. Is y a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6305.938m to micrometers.\nAnswer: 6305938000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from uoooueoouooooeoeou.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -102*-0.206\nAnswer: 21.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/((-9)\/(3375\/10)). Let x = 113 + v. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - 3. Let k(l) = -16*l - 1 + 16*l - 8 + 13*l**2. Calculate -7*j(d) + 2*k(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**5\/30 - 11*q**4\/12 - 2*q**3\/3 - 2*q**2 - 5964*q + 2. Determine h(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwf when three letters picked without replacement from ffvvwz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*l + 207, 0 = -3*l - r + 4*r + 186. Let o(p) = -12*p + p**2 - 17*p + 29*p + l - p**3. Is o(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 52?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8606*m - 892. Is n(-2) a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 2. Suppose -32*j + 7 + 25 = 0. Let b be r(j). Solve b = -6*t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.038 in 160, 14, 6, -1\/7, 2\/9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from jwubjjwwwujwxew.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 9*g - 35. Suppose -j + 168 = 13*j. Let n be a(j). Is n smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 34\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**2 + 98*z + 40. Suppose 0 = 5*w - 3*q - 35, -45 = -5*w + 2*q - q. What is the remainder when w is divided by v(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343513956 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 3*x - 3. Suppose 2*d + 2*d = -16. Let h(i) = -3*i**2 + 4*i + 4. Give d*f(p) - 3*h(p).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, o: 12}. What is prob of sequence uouu?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a + 4. Let w(c) = 2*c + 82. Let l be w(-40). Determine j(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 455 - 312. Suppose -19 + d = 4*z. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.2, 438, -39, -2\/21 in descending order.\nAnswer: 438, -2\/21, -2.2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012839 to five decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 12*j**2 + 5*j**2 + 9*j**2. Let m(q) = -31*q. Calculate l(m(z)).\nAnswer: 2883*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.13 + -9. Let c = f - -8.87. Let w = c - 9.3. What is the smallest value in -3, -0.02, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 8858465*p + 17716950.\nAnswer: -5*(p - 2)*(p + 1771695)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3500272647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008983 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:44 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 + -108. Suppose -d*u + 2244 = -4*q, -3*u - 5*q + 1370 = 31. Let l be (u\/24)\/((-2)\/(-3)). Calculate the greatest common factor of l and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-6))\/(6\/8). Find the common denominator of (-195)\/(-18) - (6 + s) and -1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, i: 1, d: 1, b: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*b + 1, 4*f - 16 = -0*f - 2*b. Let c = 2.3 + -0.3. Put c, f, 8 in ascending order.\nAnswer: c, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -760.\nAnswer: -31\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238927 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: How many minutes are there between 7:17 PM and 4:35 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 8*x - 2. Suppose 0 = -x*h - 3*h + 650. Suppose 0 = -3*v - d + 88, -5*v - 6*d + h = -d. Calculate the remainder when v is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3543*d - 3542*d - 11156. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)\/(d*d\/((d**6*d)\/d*d)))**(-4\/17)\/(((d\/(d*d**(-1)))\/(d\/(d\/(d**4\/d))))\/((d*d*d\/d**(1\/12)*d)\/(d*d*d**(-6)*d))) assuming d is positive.\nAnswer: d**(1771\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*v - 5*v. Suppose -v*g + 4 = -m + 6, 4*g + 6 = 3*m. Solve 4*j + 6 - m = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvsvvvsvsvvvvv. Give prob of picking 1 v and 2 s.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -10308\nAnswer: -1\/2577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 5*s + 244 - 273, 4*z = -5*s - 47 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**3 + 3*h**2 - h - 6. List the prime factors of x(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64755 and 246069?\nAnswer: 1230345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2219062*c*p**2 + 14*c*p - 251*p**2 - 30711*p wrt c.\nAnswer: -2219062*p**2 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 602912?\nAnswer: 6028b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*o - 2*t + 5, -t = 3*o - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1659454 is divided by 603.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - 28. Let q(r) = -2*r - b*r + 9*r. Let h(u) = -2*u. Determine h(q(m)).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 2*k - 560, 3*x + 841 = -3*k - k. Let o = x - -190. Let c = 141 + o. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 60524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 - -102. Let y = -2\/809 + 26705\/3236. Find the common denominator of y and 2\/(-11) - o\/594*87.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3065181 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0796 and -0.3?\nAnswer: 0.02388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)*k)\/k**(3\/7)*k**(-3\/4)\/(k\/(k*k*k*k\/(k\/k**(-2\/5))*k*k*k)*k)*(k**(-4)*k*k**(2\/17))**(-3\/13) assuming k is positive.\nAnswer: k**(132627\/30940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5313.\nAnswer: 3, 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 55 = 2*c + c + c, 230 = -19*s + 20*c - 6*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 571, 585, 645, 781, 1023?\n\"Answer: 5*z**3 - 7*z**2 + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 200 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*g - 2*g**4 + 4*g**2 + 3*g - 5*g + 0*g to q*g**3 + z*g**2 + n*g**4 + l + f*g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = -1. Is -4\/7 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/12 - 25*h**4\/4 + 145*h**3\/6 - 2546*h**2. Factor v(r).\nAnswer: 5*(r - 29)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 57.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -22, -17, 2, 41, 106, 203?\n\"Answer: o**3 - 2*o**2 - 4*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 15208 * 294\nAnswer: 4471152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343) + (1*sqrt(343) + -2)**2.\nAnswer: -21*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3052 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1604 + -656. What is the lowest common multiple of v and 24?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1256?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 7*h + 7. Let c(r) = -r**2 - 6*r - 6. Let y(k) = -7*c(k) - 6*j(k). Let d(q) = 72*q. Give y(d(o)).\nAnswer: 5184*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 8*t - 3. Let x be l(-4). Suppose p + 56 = -4*c, -4*p = -0*c + c + 29. Let q = c - x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50118\/11 or -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + 0 - (3 - 1). Suppose 0 = 3*d - g*d. Let v(b) = -b**2 - b - 2. Determine v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 998 + 869*x**3 + 117*x**3 - 1974 + 976.\nAnswer: 986*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 545045.68\nAnswer: 109009.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*a + 40 - 12, 2*a + 10 = 0. What is the closest to 1 in 3\/14, p, -0.4, 1\/9?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 z when three letters picked without replacement from {v: 11, z: 5}?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32656526 or 32656525?\nAnswer: 32656525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 227*o**3 + o**2 + 1845*o + 65071197.\nAnswer: 681*o**2 + 2*o + 1845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2791, -11290, -25461, -45304?\nAnswer: -70819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j + j. Suppose 0 = j*q + 3*l + 5, 1 = 6*q - q + 3*l. Let 0 + 1\/5*u - 1\/5*u**q = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6690382 times 0.1?\nAnswer: -669038.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.180089848 to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 341, 657, 973?\n\"Answer: 316*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*j - 2*j - 42, 3*c = 6. Let a(z) = -z + 11. Let w(i) = 2*i - 12. Let o(s) = 3*a(s) + 2*w(s). What is o(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l + 0*l)*(-4 + 2 - 2)*(0*l - l + 3*l)*(76 - 76 - 33*l).\nAnswer: -264*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j**5\/4 - 65*j**4\/4 - 65*j**3\/4 - 15*j**2\/4 = 0 for j.\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**5\/4 + 597*r**4\/4 + 40377*r**3\/4 + 978315*r**2\/4 + 861900*r + 823875 = 0.\nAnswer: -65, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/21*(27\/(-6))\/(31\/558)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.42 + 0.02. Let t = -57\/260 - -1\/52. Let n be -1 - (-2)\/15*3. Which is the closest to -0.1? (a) t (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3776 and 256.\nAnswer: 15104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -600*x - 15106 wrt x?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -0.2 (c) -3 (d) -98 (e) 3\/4 (f) -0.004\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 - 6722463322.\nAnswer: -6722463365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 137*i + 4182. Calculate v(-14).\nAnswer: 2264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 817*o - 75658. What is x(92)?\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -565250 - 16130?\nAnswer: -614410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2517 - -41?\nAnswer: -24a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18973 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {i: 3, f: 5, c: 1, s: 3, e: 1, d: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d18 (base 15) in base 11?\nAnswer: -18a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) + (-2*sqrt(130) - sqrt(130)) - sqrt(130))*5)\/(sqrt(1000)*-1) + 3)**2.\nAnswer: 9*sqrt(13) + 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8 and -15\/41758.\nAnswer: 167032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -11212?\nAnswer: -12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/3 + 6*t**4 - 44*t**3\/3.\nAnswer: 2*t**3*(t - 2)*(t + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.1 - 5310742107.\nAnswer: -5310742116.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2785*u**4 - 1203*u**4 + 1782*u**4)*(u + 2*u - 4*u).\nAnswer: -3364*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 83. Let p be i\/2*(-18)\/36. What is the nearest to p in 1, 1\/3, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 3695372\nAnswer: -55430580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -3)*1 + -1. Let y(s) = 4*s**2 + 3*s + 2. Let g be y(x). Calculate the smallest common multiple of 19 and 2\/(4 + (1 - g)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -28004.\nAnswer: 50407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luylylugllyyyug. Give prob of sequence ll.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/((-15)\/40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34160319 rounded to 3 dps?\nAnswer: -1.342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/6 and 22\/2517.\nAnswer: 5034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6561, 6505, 6419, 6303?\n\"Answer: -15*s**2 - 11*s + 6587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -1. Let k(j) = 2*j - 2 - 2*j**2 + 3*j**2 - 6. Let u = 24 + -19. Let m be 3\/u + (-10)\/(-25). What is m*k(d) - 6*x(d)?\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 26*m**3 - 242*m**3 - 254*m**3 + 0*m - m**2.\nAnswer: -470*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -316559\/80 - -3956. Calculate the common denominator of k and -33\/70.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2138.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -1\/2, 3, -1\/6, 5, 7\/76 in decreasing order.\nAnswer: 5, 3, 1\/4, 7\/76, -1\/6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, 2, -3, -4 in ascending order.\nAnswer: -21, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 445 and 706175.\nAnswer: 62849575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1330\/(-24624)*-54)\/(1\/(-2)).\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -184d212?\nAnswer: -184d214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 56*q**5 - 1388*q**4 + 3972*q**3 + 61740*q**2 + 29700*q = 0?\nAnswer: -33\/7, -1\/2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-76 - -40) - 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000115 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/5 and -31\/213.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570140?\nAnswer: 2, 5, 29, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*n - 554*n + 170*n - 16488 = 0 for n.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 2*r + 2*r + 2*r. Let f(z) be the first derivative of -4*z**3\/3 + 13. What is f(v(o))?\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -13\/12*d**4 - 1\/2*d**3 + 2 + 0*d - 22*d**2. Differentiate w(m) with respect to m.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7194 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5233548 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 8*q**2 + q - 8. Let t be (-2)\/(-1 + 9\/12). Let d be c(t). Suppose d*m = -4*m + 132. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147544.094 - -147370. What is q rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6442406 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 504*l**2 - 24186*l - 1004692 = 0. Calculate l.\nAnswer: -26, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2343*j**2 + 4074*j - 8144*j + 4070*j in the form y + b*j + c*j**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1991436, -15931529, -53768918, -127452249, -248930168, -430151321, -683064354, -1019617913?\n\"Answer: -1991441*f**3 - 2*f**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204 + 207. What is the third derivative of 7*i**5 + 94*i**2 + 28452*i**4 + 8*i**c - 28452*i**4 wrt i?\nAnswer: 420*i**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1800 and 1575.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1751 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2031829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1441872 divided by 1116\nAnswer: 1292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19998119 divided by 487759?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(180)\/(-2*-2*sqrt(9)))\/((sqrt(120) + (sqrt(120) - ((6*(sqrt(120) + 1*sqrt(120)) - sqrt(120)) + sqrt(120))))\/(sqrt(72)\/sqrt(24))) + 2.\nAnswer: 3*sqrt(2)\/40 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/15 in 4\/9, 2\/19, -3, -1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/7 + 51334*y**3\/7 + 438721702*y**2\/7 + 1248387808034*y\/7.\nAnswer: 2*y*(y + 7993)*(y + 8837)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2065, 2070, 2071, 2068, 2061?\n\"Answer: -2*w**2 + 11*w + 2056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 152 + -138. Suppose 3*x - m = -2*f, 0 = 3*x + 3*f - 14 + 2. Calculate the greatest common factor of 10 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 437? (a) 3 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27777 + -2?\nAnswer: -1.72223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/3, -1068, 8\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3486715*m**2 + 4281756*m wrt m?\nAnswer: -6973430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21717?\nAnswer: 3, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146547.\nAnswer: 3, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 14*u**2 + 15*u + 1. What is the units digit of l(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.6658368 + -0.7\nAnswer: 5.9658368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206020347 is divided by 870?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2012 divide 80313004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/13 + 40*m**2\/13 - 24*m.\nAnswer: 2*m*(m - 6)*(m + 26)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -10*y + 65. Suppose z = 3*r + 9 + 4, -3*z + 23 = -y*r. Solve 3*g - z - 5 = 5*v, g = -4*v - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 8 = -3*r, -2*r + 0*r - 12 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3 + -1 + sqrt(147) - ((sqrt(147) - (-5 + sqrt(147)*2 + sqrt(147))) + sqrt(147) - (sqrt(147) + (sqrt(147) + -1)*-5))**2.\nAnswer: -1326 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 4*g - 4. What is i(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 28 = -3*f. Let t(w) = -w**2 + 8*w + 3. List the prime factors of t(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 976*f**2 + 8*f + 4. Let r be v(-4). What is the units digit of 2\/(-3)*r\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.16 and -23.23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 8.07 (c) -4 (d) -0.2 (e) -4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65455410 or 65455409?\nAnswer: 65455409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -800, -836, -924, -1088, -1352?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1792 and 117\/80?\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from ngbnbngnngnobgbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18603 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**6\/360 - i**5\/90 - 13*i**2\/2 + 12*i. Let n(k) be the first derivative of y(k). Let n(d) = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(11\/132).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3 = -2*v, -v + 5*t = -0*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11181 - 10906. What is the smallest common multiple of t and 175?\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-18245)\/30*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpmmmmmememmpemmmm. Give prob of sequence eep.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -440.7623 to the nearest integer.\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d - 20. Let x(h) = 9*h**2 + h + 12. Let y be x(d). Let s = y - 157. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18269372, 36538759, 54808146, 73077533?\nAnswer: 91346920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrrz when four letters picked without replacement from zzzsrrozozrzozzohrz?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 44*a - 19. Let w(b) = -b - 1. Let s(q) = -3*q**2 - 4*q - 5. Let r be 2*2\/4*-5. Determine a*s(c) + r*w(c).\nAnswer: -3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-63)*9)\/(-3 - -2) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 8:14 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11\/(-1 - 4\/(-2)). Let k be ((-2)\/x - 66616\/(-363))*-126. What is k rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/85*480\/320*1\/1.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/75)\/(119\/105*-3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 11, c: 5, z: 1}. Give prob of sequence cjj.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -263 + 261. Let f be 2 - (5 + (-18)\/6). Let g = 0.1 - 0.6. What is the biggest value in g, f, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 11*d - 3525 = 0. What is the hundreds digit of -27*(4 - d\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2. Let d(z) be the second derivative of -z**5\/10 + 99*z**2\/2 - 143*z. Let x(i) be the first derivative of d(i). What is c(x(q))?\nAnswer: -180*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -684 - -686. Suppose 0 = -5*q + 3*x + 15, -4*q + 20 = -0*x - 4*x. Solve w*v + v = q for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 9) in base 7?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u**4 + 4*u**3 + 6*u**2 - 1968*u - 451061?\nAnswer: 4*u**3 + 12*u**2 + 12*u - 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.954 * -2800.2.\nAnswer: 2671.3908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + 0 + sqrt(304) + 1 + sqrt(304)) - ((-1*sqrt(304) + sqrt(304))*-2 + sqrt(304))) + 1)**2*-1.\nAnswer: -2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.906653 times -3?\nAnswer: 407.719959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + 44 + -81 + -24.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + a + 4. Suppose p + 2 = -p + 2*q, 0 = a*q - 6. What is the second derivative of p*r**2 + r - 2*r**2 + 2*r**4 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - r + 33 = 78 - 26, -5*r = -2*l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)*o)**(2\/21)\/(o**1)**32*(o\/o**(-2))\/o**(-4\/5)*(o\/(o\/(o\/(o\/(o*o**(-1)*o*o))*o))*o)\/o**(-2\/7) assuming o is positive.\nAnswer: o**(-358\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 - 3 + f - 5*f - 4. Let y(h) = h**2 + h + 2. Let g(x) = 2*s(x) + 7*y(x). What is the second derivative of g(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**3 + 12144*k**2 - 48624*k + 48640 = 0?\nAnswer: -3040, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2 - 3*w. Let b be s(-1). Let d(j) = j + 5. What is d(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535 + 22*f - 535)*(0 + 4 - 2)*(0 - 4 + 3) + 3*f - 2*f + f + (-3 + 0 + 1)*(2 - 2 - 2*f) + 3 - 3 - 2*f.\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -6*v - 19 - 16 + 39. Determine b(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -987 - -3076. Let o = t + -1034. Calculate the remainder when o is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-33)\/(-6))\/(4\/(-8)). Let m(t) = -t**2 - 12*t + 6. Let p be m(l). Find the first derivative of -6 - p*k + 15*k + 11*k wrt k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 248 by -3093.\nAnswer: -248\/3093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-18)\/(-3))\/(10\/5). Suppose i = -1 + 5, -q*a + i + 2 = 0. Factor -4\/7*j + 0 - 2\/7*j**a.\nAnswer: -2*j*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*v - 4*d + 51550, -v - d = -10310. Suppose 11*g + 2522 = v. What are the prime factors of g?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246199 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35.4379 in 7, 1\/7, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/9)\/((-2)\/(-12)). Suppose -5*p + 3*p = -j. Let l(c) = c - 1 + 1 - 3*c**2 + 4*c**p - 1. Determine l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of -2*a**6\/5 - a**3 + 9*a. Find the second derivative of l(s) wrt s.\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -2)*(-1 + -2). Suppose 0 = t - 4*t - a. Let g(q) = 3*q + 2. Let y be g(0). What is the closest to y in -0.4, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -95*k - 164. What are the prime factors of w(-12)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 times 8647\nAnswer: 691.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 8*u**2 - 6*u + 9. Let r be q(-7). Suppose 6 - 2 = r*k. What is the third derivative of 2*a**6 - k*a**2 - 6*a**6 + 2*a**6 + 0*a**6 wrt a?\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - (3\/(-2))\/((-21)\/28). Factor -3\/2*d**4 + 3\/2*d**2 + 3*d - q*d**3 + 0.\nAnswer: -3*d*(d - 1)*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1361*n**2. Let z(s) = 2*s. Give z(i(t)).\nAnswer: 2722*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 7*w**2 + 5*w - 8. Let j be g(6). Calculate the common denominator of (j - -3)*(-8)\/(-2) and -55\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**4 + 14*o**4 + 8*o**4 - 41*o**4 + 48 - 46 + o**2 in the form w*o**3 + h*o**2 + j*o**4 + t*o + c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2904.254g?\nAnswer: 0.002904254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -35*f + 312. Let r be (0 - f\/(-9))*804\/(-8). Is -133 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1714 + -901. Let p be m\/21 + (-4)\/(-14). Let j = p - 17. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -7653511\nAnswer: 2296053.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137712294, 137712295, 137712296, 137712297, 137712298, 137712299?\nAnswer: 137712300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 3*n + 102 + 101, -i + 2*n = -84. Is 50 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221511 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -182, -171, -160, -149?\n\"Answer: 11*c - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b = -12, 4*b = -3*t + 57. Let v(i) = -t*i - 7 + i**2 + 58*i - 21*i - 7*i. Determine v(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*h + 12 - 4, -t = -h. Find w, given that -3*w**2 + 2*w**2 + 5*w**2 - 3*w**t = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2114*d + 2057*d + 3078. Solve -d*b - 16 = -62*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(117)*1 - sqrt(13))**2 + 5 - 2*sqrt(104)\/sqrt(2))*-1.\nAnswer: -57 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:14 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - -4*sqrt(190)*2)\/sqrt(10).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 161*z + 122*z - 311*z + 224 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 33523, -2\/565?\nAnswer: 33523","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 404.8313 grams to tonnes.\nAnswer: 0.0004048313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0, -3\/4, -0.01, 4\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 5:29 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 5, b: 3, y: 1}. Give prob of sequence byb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2242*v - 2242*v - 76*v**2 - 32*v**2.\nAnswer: -108*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1692*t**2 - 3377*t + 1126*t + 1123*t + 1128*t in the form k*t + p + m*t**2 and give m.\nAnswer: -1692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -168*k - 3105 - 3951 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -885*h - 90. Let j(x) = x - 3. Give -30*j(a) + m(a).\nAnswer: -915*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334044 + 10?\nAnswer: -334034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5590, 11180, 16770, 22360?\n\"Answer: 5590*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 70*2*1\/5.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70.6+6948419603\nAnswer: 6948419673.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -1\/3 (c) -1325 (d) -0.3 (e) 0.2 (f) -331\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -0.0365?\nAnswer: 0.001095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 4. Let f(c) = -1. Let x(o) = 11*f(o) + 2*w(o). Let d be x(0). Let s = -1\/39 - 151\/195. What is the second smallest value in d, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9061 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673958.4 micrometers to centimeters.\nAnswer: 67.39584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -7aae3?\nAnswer: 7aae2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2)*j\/j**(2\/19))\/(j*j**(-1)\/j)**(-33))**(-1\/18))**(-3\/2) assuming j is positive.\nAnswer: j**(-54\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2506857851.\nAnswer: 2506857851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9785 times -875\nAnswer: -8561875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15770745 (base 9) to base 10\nAnswer: -7900052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49291894 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3 = -3*b, 4*d + 7 = -13. Suppose 1101 = b*h - w, w = -h + 274 - 0. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2432 and 30884864.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -27. Suppose -t - 8 = 5*g, t - 9 = -t - 5*g. Let b = t - 11. Calculate the smallest common multiple of b and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 + 219 + 165*b**2 - b**3 + 2*b**3 + 321*b - 60 = 0.\nAnswer: -53, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -36389?\nAnswer: 3638b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 3*x**2\/2 - 192. Let r(l) = -l + l + 3*l**2. Give s(r(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(198) - sqrt(198)*-2)*2)\/(3*(sqrt(150) - sqrt(6))))\/(sqrt(9)\/(sqrt(108) + (sqrt(108) - -4*sqrt(108)) - sqrt(3))*-4).\nAnswer: -35*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1224, -0.3, -4 in ascending order.\nAnswer: -4, -0.3, 1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 847053.3519992074 + -1513499637.3519931074. Let v = i + 1512652682. Let c = 98 - v. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 9*i - 171. Suppose 9*a - 4*a + 2*f - i = 0, 0 = 4*a + f - 14. Let y be a\/18 + 92\/(-264). Which is smaller: -2\/3 or y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6678 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4474 * -13935\nAnswer: -6234.519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let m be u(5). Let g = 7 - m. Differentiate -4*w - 3 + 3*w + g with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*k - 8*k - 5*c, 0 = -23*k + 5*c - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 7*t**2 + 146217*t + 1316123. Give d(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**2 + 3*k + 1. Let t be l(7). Suppose -h + t = 4*h - f, 3*h - 254 = -5*f. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7497 and 1827?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -772 by -350.\nAnswer: 386\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240398*r**2 + 72560 wrt r.\nAnswer: 480796*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 7*o + 6*o = 19, 5*b - 5*b + 52 = -42*o + 29*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1860 and 1302?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*x - 8. Let l = 14 + -6. Suppose l = -x*m + 4*d, -5*d + 4 = m - 0. Put 7, m, -3 in decreasing order.\nAnswer: 7, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 13) in base 7?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 94812 and 4.\nAnswer: 379248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -0.1, 67, -180?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*v + 612119 - 91604 - 13788 = 0. Is v less than 7138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203895358?\nAnswer: 2, 97, 1051007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 + 0.24. What is the closest to -1 in -4, -18, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1133175 and 1133266 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -365 - -395. What is the least common multiple of f and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, r: 1, d: 2, o: 6, a: 3}. What is prob of sequence rado?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + a + 15, -5*p + 15 = -5*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 1, -505 in descending order.\nAnswer: 50, 1, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111 (base 2) in base 7?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1 - 4) + (4 - 1))*-1. Suppose u - n - d*n = 435, 3*n = -3. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19905688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24707 - 24710. Let l(c) = c**3 - 7*c**2 + 7*c - 6. Let r be l(6). What is the closest to -0.3 in -8, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2270*t + 40889. Determine s(-18).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 290?\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(0 - 1)*(-53)\/(-159). Let f(q) = 39*q**2 + 4*q - 3. List the prime factors of f(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, -4 in increasing order.\nAnswer: -4, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 9*p + 9. What is c(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1130 - 1?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 5:11 PM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 384986 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11000*c + 3 - 3 - 11002*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from fmmfzfmz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4866.4821182959 - -0.5?\nAnswer: 4866.9821182959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1452 + 10955. What are the prime factors of r?\nAnswer: 13, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.044654458.\nAnswer: -0.0133963374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.755526 milligrams to kilograms.\nAnswer: 0.000000755526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*z = -80*z - 162 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -114. Let i be z\/(-2) + -3*5\/10. Suppose 122 = 2*r - i*g, -r + 6*g + 64 = 2*g. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 6*x**2 - 6*x - 10. Let l = -12 - -19. Determine t(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*x\/((x*x**(-3\/7))\/x))\/(x**(1\/4)\/x)**(4\/23) assuming x is positive.\nAnswer: x**(-715\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m**(-2\/5))*m))\/m*m)**(-16\/3) assuming m is positive.\nAnswer: m**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -416428136715 plus 5.2?\nAnswer: -416428136709.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/(-2) + -4 - (-1 + 0). Suppose o*z = -94529 + 490529. Round z to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1623*l + 2840. What is the units digit of y(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5*v + 2*b + 4579, -4*v + 18281 = -b. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99274 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -95600300 to the nearest 1000000.\nAnswer: -96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 658456817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325 + 316. Which is the smallest value? (a) 0 (b) l (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135725 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) -40 (c) -0.5 (d) -4 (e) 113 (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 5.5 (c) -38\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + b**2 - b - 1. Let j(d) = 3*d**3 + 4*d**2 - 3*d - 4. Suppose 3*o - 12 = 3*g, 18*g - 13 = 15*g - 2*o. Give g*j(c) - 4*m(c).\nAnswer: 7*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52.0044 + 0.0456. Let h = s + -52. Let k = 0 - 0. What is the third biggest value in k, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -157*k**5\/20 + 563*k**3\/3 + 1161*k**2. Differentiate y(v) wrt v.\nAnswer: -942*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 20*v - 1. Let y be (-12)\/(-10)*10\/4. What is the units digit of h(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*k + 5*j + 5, -k = -2*j - 7*j + 4*j - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3)\/(-2) + 3)\/((-24)\/(-496)) a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - a = -63, 6*u - u = 5*a + 45. Let j = -16 + u. Let i = -4 - j. What is the nearest to -1 in 2, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1, 26, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 25, -v - 4*p + 2 = 20. Find the first derivative of -n - 70 + 67*n**v + 97 - 75 - 59 wrt n.\nAnswer: 134*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus -0.563?\nAnswer: -22.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxiipikipxx. What is prob of picking 1 p and 1 i?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/1791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 divided by -277484?\nAnswer: 7\/69371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1032*l - 12606 - 23514 = 0 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/21)\/((-1)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 627367 by 13.\nAnswer: 48259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (-53 - -56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256398671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + c**2 + 2 - 2)*(c + 5*c - 5*c) as d*c**3 + m*c**2 + h + n*c and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 9\/6)*10\/(-3)*-3. Solve -10*a = -15*a + c + 11, -3*c - 3 = -o*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 1014?\nAnswer: -4056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*l - 16 = w, 2*w - l - 4 = 0. Suppose 3*t - 2*f + 8 = -0, -w*f = -4*t - 12. Let o be (t + 83)*2 - -3. What is o rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*b + 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(455\/(-39)))\/((-4056)\/720 + 2\/(-3))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25720439, 25720441, 25720445, 25720451?\nAnswer: 25720459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/11 - 150*a\/11 - 1072\/11 = 0. What is a?\nAnswer: -67, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 513 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: Let h be 3\/(-6)*(-24 - -24). Sort h, 49, 4.\nAnswer: h, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.7288 + -0.0992. Let n = y - -2.138. What is n rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 172070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l. Let p be 68\/(-3) + 4\/6. Let i(x) be the second derivative of 8*x**3\/3 + 3*x. Give p*m(j) - 4*i(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 77.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -5)\/(-1) + 11010\/734 + 172\/(-22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 5355 * 0.3\nAnswer: 1606.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -123, -273, -439, -615, -795?\n\"Answer: x**3 - 14*x**2 - 115*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1080)\/(-840))\/((-1)\/(-5887)).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -286*u**2 + 31*u. Let v(h) = 25*h**2 + h. Calculate t(b) + 10*v(b).\nAnswer: -36*b**2 + 41*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1126, 2253, 3380, 4507?\n\"Answer: 1127*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/4 + 8\/16. Let t be ((-3)\/u)\/1*14. Let h = 9 + t. Solve d - 2 = h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 886 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4385 + 35418. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 14*h = -12. Is (-4)\/(48\/(-22) - h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 e, and 1 z when four letters picked without replacement from zgevzozvzzvvozzvz?\nAnswer: 4\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -297 + 545. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times -75516?\nAnswer: 5286120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23115 + 23115 + 351*l)*(30*l**2 - 25*l**2 - 31*l**2) in the form g*l**2 + j + i*l + o*l**3 and give o.\nAnswer: -9126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*b - 3*b - 45 = 0, -2*j - b = 15. Let n be (-2 - (-4)\/j)*-3. Suppose -41 = -n*w + 7*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432310760 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/10*-5*(-8)\/10\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (-3 - -3))*2. Let c(k) = -4*k + 10. Let l be c(b). Do l and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) -0.23 (b) -2 (c) -5 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2 - 10*z\/7 = 0.\nAnswer: -5\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 22566 (base 8) to base 6\nAnswer: 112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 85 = 16*m + 38 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-5)\/20*3\/12.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13467, 37115, 70945, 114957?\n\"Answer: 5091*m**2 + 8375*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 27438*x - 137190. Give p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 682245 + -9?\nAnswer: 682238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 56*a + 7. Let b(i) = 70*i - 2. Let u(h) = -b(h) + r(h). Let v(l) = -9*l + 6. Let d = -15 + 10. Give d*u(o) + 8*v(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-21)\/(k*k**(-19)) assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.03349mm in kilometers?\nAnswer: 0.00007703349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20299*y + 16 - 13 - 5 - 20294*y.\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2766047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*o = 15, o - 14 = -4*i + 3*o. Solve -2*l + 7 = i*z - 9, -3*z + 5*l + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/((-1344)\/(-36))*1\/((-1)\/(-2))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1808*382.\nAnswer: 690656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyxyx. What is prob of sequence xy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y + 3. Let d be m(0). Let u = 6 + -4. Solve 4*q - 16 = 0, 3*q = d*t + u*t - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.007 times 0.2\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -22) + (-31 - 3).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Let o be -2 + 36\/(4\/2). Let b = l + o. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*h = 22 + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 65. Let k(g) = g + 64. What is -5*k(b) - 6*m(b)?\nAnswer: b + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 61 and -668.36.\nAnswer: -607.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 22674743\nAnswer: -4\/22674743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/2106730 and -49\/2106730.\nAnswer: 2106730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.01? (a) -3 (b) 1\/41 (c) -76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.325 + 1.325. Is 8.155 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10635, -21261, -31887, -42513?\nAnswer: -53139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 6 + -4 + 2 + (-8 - (-19 - -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/1607543 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n + 134*n = 36816. What is the remainder when n is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45617 and 3?\nAnswer: -136851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52861\/60 - 881. Let r(z) be the second derivative of 2*z + 0 + 0*z**3 + 0*z**2 - 1\/40*z**5 - 1\/24*z**4 + k*z**6 + 1\/84*z**7. Factor r(h).\nAnswer: h**2*(h - 1)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 110*d. Suppose 44 + 19 = 7*f. Let s(z) = f*z - 5*z - 2*z - 3*z. Determine s(m(x)).\nAnswer: -110*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30 and -127.6.\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/14 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66301714527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - ((2 - 21) + 34 - 17) - 13?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*p**2 - 4*p**3 - p**3 - 35*p**2 + 1 + 7*p**3 - 8*p in the form f*p + c + w*p**3 + d*p**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/3, -0.5, 3\/7, 1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144\/(-96) + 25\/75?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, x: 1}. What is prob of sequence ww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2752*m - 3242. Let k(f) = -1377*f - 1622. Let w(p) = 2*a(p) - 5*k(p). What is the derivative of w(v) wrt v?\nAnswer: 1381","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*w = -7*w + 48, 3*g - w - 17 = 0. Suppose g*f = -3*f + 270. Suppose -f*n = -29*n + 352. Is n a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from fffkufuuuuuuuuuffk.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 24 + (-1 - ((4 - 16) + 12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3186 = -4*r + 988, -4 = -2*h. Let g = r + -969. Are 72 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -127338, -127553, -127768, -127983, -128198, -128413?\n\"Answer: -215*h - 127123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (-4 - -7) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 663\/7 + -356045\/3759. Find the common denominator of m and 69\/8.\nAnswer: 4296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 37*a + 16. Let s be q(-12). Solve s*b = r - 2, -4*b - 2 + 6 = -4*r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4284 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0)\/d)**(2\/85)\/(d**0*d)**(2\/17))**(-5\/7) assuming d is positive.\nAnswer: d**(10\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105114779 by 9555889.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (209\/(-44))\/((-1)\/(-8)*-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*n + 85*n - 56 = 0. Solve -n*i + 9*j = 13*j, i - 3 = 2*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 1339*o**4\/24 + 2015*o**3\/6 + 2*o**2 + 125*o - 2. What is the first derivative of l(v) wrt v?\nAnswer: 1339","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*m = 4*r + 62, 2*r - 5*m + 120 = 0. Let g = 77 + r. Suppose u - 67 = -g. What is the greatest common divisor of 8 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5\/7))\/s**22)**24 assuming s is positive.\nAnswer: s**(-3648\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:32 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3100805*-0.8.\nAnswer: 2480644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4379 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**10\/15120 - j**8\/3360 + j**4\/12 + 5*j. Let h(g) be the third derivative of w(g). Find x, given that h(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -260 (b) -15.14 (c) 2 (d) 4 (e) 1 (f) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r - 2. Let p be -4 - (1 - 10 - -1). What is o(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - o + 4 = 0, 3*z - 2*o + 3*o - 4 = 0. Suppose z = -t + 2. Suppose 6 = 2*j + t*j - f, -j - 4*f + 10 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a - 13*a - 4 + 8*a + 11 + 4*a.\nAnswer: -13*a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 133*x**2 + 2259*x - 23. Give s(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 39212*y - 39210*y + 16 = 0, 37*j + 133 = -2*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/43, -16\/8587, 1\/9 in ascending order.\nAnswer: -16\/8587, 1\/43, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 17 - 16, -5*q = -5*c - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*f + 30*f + 65*f - 33*f.\nAnswer: 142*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - c + 3. Let s be o(-3). Sort s, -1, 1 in descending order.\nAnswer: 1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*k - 1423 + 475 = -99*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 9*f + 23. Let y be (54\/(-18))\/((-1)\/6). Is b(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2 + 2)*(-3 + a + 3) + 3*a**2 - 3 + 9*a**2 + 2.\nAnswer: 14*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.7349 times 0.8?\nAnswer: -245.38792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.0486 (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1000 = y + 4*r, -2396 = -3*y - 2*r + 584. Calculate the highest common factor of y and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 646*s + 348*s = -40*s + 24816 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -152. What is the greatest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12101202222 (base 3) in base 7?\nAnswer: 621554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -2*y**3\/3 + 334. Let n(f) be the third derivative of 19*f**4\/24 - 2*f**2. Give p(n(l)).\nAnswer: -722*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-7 - (-9 - 10)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234051342*p - 234051342*p + 580*p**2 - 581*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times -1649635?\nAnswer: 156715325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17.056007761+-26\nAnswer: -43.056007761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g - 5. Let r(m) = -43*m + 15. Calculate 8*j(i) + 3*r(i).\nAnswer: -17*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57267 and 0.3.\nAnswer: 17180.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - q - 3 = 0, -4*r + 4*q - 2*q + 2 = 0. Suppose r*j - 12 = -2*j. Let a = -2 + j. Which is bigger: -2\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -65 + 59. Sort c, 3, 0 in descending order.\nAnswer: 3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3077, 8367, 13657?\n\"Answer: 5290*v - 2213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 14. Let p be u(5). Suppose -p*b + 5*b = -184. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, j: 12}. What is prob of sequence mj?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6*t - 2*t = -381, 4*b = 3*t + 508. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*j, j + 10 + 2 = 2*x. Calculate the remainder when 12 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1720 divided by 13480\nAnswer: -43\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/15420 and -73\/1593400?\nAnswer: 4780200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -101 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 29328?\nAnswer: 146640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - m. Let j = -6 + 10. Suppose j = 2*o - 0*o. Let h(b) = 7*b - 4*b + 4*b**2 + 0*b**2. Determine o*h(f) + 7*t(f).\nAnswer: f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 2:31 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:43 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 6*l**2 - 7*l. Let t be d(-7). Let k(h) = -10 + t*h + 4*h - 2*h + h. What is the smallest common multiple of k(8) and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - ((-15 - -31) + 2 - 21).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -3 - -3) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14824349.123 - 14817455. Let v = h + -6926.72553. Let t = v + 32.6. What is t rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27392869 is divided by 13696432.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-60) + (-4)\/(-10). Which is the closest to 2\/15? (a) -2 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*c + 6587*c**2 + 231*c - 6605*c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-12)*(-4)\/(-5). Is i bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 15, -2, -3\/5, -4.41368?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118106 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: Let s = 150714 - 40692829\/270. Let r = s - -2\/135. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148 - -150. Let u(z) = 15*z**2 - 2 + 0*z + 0*z. What is the units digit of u(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8604863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/(32\/(-880)). Suppose -f = -s + k + 30, 5*s - 284 = -f. Is 21 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 876487 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**5 + 3132*m + 190*m**2 - 3132*m + (0*m + 0*m - m)*(-4*m + 2*m**4 + 4*m).\nAnswer: -5*m**5 + 190*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1044.177 minus 3?\nAnswer: -1047.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 7:20 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 14*z + 6*z - 7*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*k + 364 = -128*k - 516 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z + 0*z + 4*z**3 - 2*z**3 - 2. What is l(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieii when four letters picked without replacement from xxxxxxixxixexixxxxxx.\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -0.3 (c) -1042 (d) 0.51 (e) 3\/5 (f) -0.5 (g) -1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 72 + (-167)\/((-15030)\/(-10530))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*r + 10710 = -273*r for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/15 - 11\/(-3). Suppose v*a + a = 20. What is the third derivative of -3*t**2 - a*t**4 - 4*t**5 + 5*t**4 wrt t?\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2*y - 24 = -5*w, -5*y - 3*w + 22 = 0. Suppose 23 = n - 0*k + k, -7 = n - 5*k. What is the least common multiple of n and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 119.61 and 1641813454.\nAnswer: 1641813573.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -48413 greater than -49149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11371923?\nAnswer: 3, 1263547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 8:34 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 + 30068*y. Let o(t) = -29*t. What is j(o(l))?\nAnswer: -2523*l**2 - 871972*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20253 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 26*v - 4. Let q(f) = f - 23186. Calculate a(q(h)).\nAnswer: 26*h - 602840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, 40, 116, 224, 364, 536?\n\"Answer: 16*v**2 - 4*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**6\/120 + x**5\/60 - x**4\/24 + x**3\/3 + 2*x**2. Let n be f(-2). Suppose n = 3*r - 1 - 8. Is r less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10704541 + 5?\nAnswer: -10704535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 3*i**2 + i - 4. Let z be x(3). Let m be (31 - (-2)\/z) + 1. Let n = -991 + 1001. Calculate the greatest common factor of n and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 + d + 1. Let p(r) = 9*r**2 - r - 3. Let j(h) = -7*b(h) - 3*p(h). Determine j(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 10470772?\nAnswer: -10470776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v - 4*v + v)*(0*v - 4*v + 3*v) + 277*v - 21*v**2 - 273*v + 7*v**2 in the form f*v**2 + p*v + u and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*i**2 - 59*i*k**2 + 27*i - 1266*k**2 + 143*k + 2 with respect to i.\nAnswer: -22*i - 59*k**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -243, -235, -203, -129, 5, 217?\n\"Answer: 3*c**3 - 6*c**2 + 5*c - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017496766 rounded to seven dps?\nAnswer: 0.0017497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 73\/13, 1\/2, 10, -2\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11715120 divided by 5?\nAnswer: -2343024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5485, 11322, 17843, 25390, 34305?\n\"Answer: 57*f**3 + 5438*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -15215389527.4 minus 10?\nAnswer: -15215389537.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (118 - 163 + 136)*(4 - 1 - 2)*(-8 - 8*l + 8) as c*l + y and give c.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -11. Let q be -2*(2 - (j + -2)). Let c(r) = 17*r**2 + 9*r - 9. Let d(l) = -4*l**2 - 2*l + 2. Determine q*c(v) + 9*d(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 16.51 in descending order.\nAnswer: 16.51, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*s - 6, -6*y = -3*s - 4*y + 4. Solve 0 = 2*x - s*x - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*k + 3 = -6, -2*f = 4*k. Let n = -2 - f. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61939.\nAnswer: 23, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -53, -69, -91?\n\"Answer: -3*x**2 - x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1. Let k(w) = w + 2. Let t(f) = -f**2 - 7*f - 6. Let a be t(-4). Suppose 2*m = a*m - 8. Suppose 0 = -6*h - 17 - 1. What is h*r(b) + m*k(b)?\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3541, 3411, 3191, 2881, 2481?\n\"Answer: -45*l**2 + 5*l + 3581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32367.73 milligrams in micrograms?\nAnswer: 32367730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 833 - 1193. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 30. Let p = -143 - -147. Suppose -p*z + 3*z = -10*z. Does 3 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 199*k**6\/30 - k**5\/20 + 65*k**3\/6 - 450*k. Find the second derivative of w(h) wrt h.\nAnswer: 2388*h**2 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/9 - -2)\/(-13 + 11). What is the second smallest value in q, -27, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1 + m - 2*m**2 - 10*m**3 - m**2 + 2*m**2 - 2*m**3. Give f(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40721\/198 - 1817\/9. What is the common denominator of w and 127\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44112022 to the power of 1\/2, to the nearest integer?\nAnswer: 6642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5 - 19. Let k(d) = -d + 11. Let y be k(c). Suppose 217 = y*p + 3*p. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*j = 102*j. Sort -18, 3, j in decreasing order.\nAnswer: 3, j, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -88, -113, -130, -139?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -9, 45\/19?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.0353.\nAnswer: -0.01412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -37. Suppose 0*s + 4*q = -3*s + 21, 0 = -5*s - 5*q + 30. Suppose -t*h = 5*l - 102, s*h + 0*h = 3*l - 66. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -57? (a) 1 (b) 3 (c) -21 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + 12. Calculate the remainder when a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 6*r + 17. What is n(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 6 = -4*w. Suppose -157*t - 99 = -158*t. Calculate the greatest common factor of w and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916412.\nAnswer: 2, 7, 23, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/48 or -81.7?\nAnswer: -81.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014741 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(26)\/((sqrt(16)\/sqrt(4))\/sqrt(2))*-3 + -3.\nAnswer: -3*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 + 80. Suppose -13 = -s - m + 1, 4*m - 20 = 0. Let y(n) = 6 + 4*n**2 - 3*n**2 + n**3 - 10*n + s*n. Determine y(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-30)*-2)\/((40\/15)\/(-8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 408351?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 77566?\nAnswer: 77561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -21. List the prime factors of p\/1 + (-22 - -18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**3 + 17*y**2 + 14*y + 3. Let x(w) = 10*w**3 + 50*w**2 + 44*w + 10. Determine 7*v(a) - 2*x(a).\nAnswer: a**3 + 19*a**2 + 10*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*((sqrt(500)*2 + -3)*-3 + 1 + (sqrt(500) + 1 + sqrt(500))*-3))**2.\nAnswer: -7200*sqrt(5) + 288225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -950 in 2, -0.06, 2\/13?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/(-2*sqrt(18)))\/((sqrt(2) + sqrt(32)*-5)*-3))**2.\nAnswer: 17\/116964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -2 + 3 + 2. What is the third biggest value in -1\/7, w, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - k**2 - k + 6. Let z(a) = -a - 5. Let w be z(-5). Calculate g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/6 + 12652063*w**2\/6 + 13339560288341*w\/2 + 13339556070987\/2.\nAnswer: (w + 1)*(w + 6326031)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330 = 7778*t - 7723*t. Solve t*k - 2*k = -8*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 + 364359*x**4 + 11062941225*x**3 - 11063305587*x**2.\nAnswer: 3*x**2*(x - 1)*(x + 60727)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 8 = 2*q, 7*q - 12*q - 8 = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -46.4 (c) 0.163 (d) -0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l + 10. Let w = 28 - 30. What is the biggest value in l, w, -2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11779 - 11787. Put 42.5, v, 2\/5 in ascending order.\nAnswer: v, 2\/5, 42.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3788059.999744 + -3487509. Let c = 300537 - k. Let f = c + 14. Round f to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 22. What is the derivative of 11*q**2 - 29*q**4 + 16 - i*q**2 + 14 wrt q?\nAnswer: -116*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4869, -4867, -4865, -4863, -4861, -4859?\n\"Answer: 2*j - 4871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50.396 - 50.4. Which is the biggest value? (a) -0.01 (b) -3 (c) 4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3016 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82203.\nAnswer: 3, 11, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 5295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343.9412 - 344. What is z rounded to three dps?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 616*y + 1069*y + 0)*(0*y**3 + 0*y**3 + y**3).\nAnswer: 453*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a**3 + 177 - 19*a**3 - 177.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1238179, -4952824, -11143931, -19811500, -30955531, -44576024?\nAnswer: -60672979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3019421299 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*h**3 - 1615*h**4 + 14*h**3 + 474*h**2 - 12*h**2 - 33*h**3 wrt h?\nAnswer: -38760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**4 + 72*l**3 - 430*l**2 - 72*l + 434. Let n(p) = p**4 - p**2 + 2. Let h(i) = -f(i) + n(i). Factor h(m).\nAnswer: 3*(m - 12)**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170449957?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-24)\/(-8)) + 6. Let j(r) = r**2 - 15*r + 29. Let k be j(u). Find h such that -6\/7*h - 12\/7*h**2 + 6\/7*h**k + 9\/7*h**4 + 3\/7 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-3\/4))**(-2) assuming o is positive.\nAnswer: o**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410561*b = 410622*b - 1464 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**4 - k**4 - k**4)*(-46 + 69 - 58).\nAnswer: -70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 240151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 3. Let n(t) = 0*t - 81 + 2*t + 83. Give -5*n(d) - 3*o(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1444773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -282 + 534. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 13 = 4*k, -5*k + 4*j = -k - 8 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -0*i - 4*i, -3*i + 3*k - 9 = 0. Solve w = -5*a + i*w - 1, 3*a - 3*w - 9 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -379 + 377.27. Let w = n + 0.73. Which is the third smallest value? (a) w (b) 0 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 566194285 and 685?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1019, 850, 681, 512, 343, 174?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/15 - (-3267)\/1485?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1007, -2\/3, -3, 5, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 > -74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -9*q + 122. Let w(y) = -8*y + 129. Calculate 6*t(f) - 7*w(f).\nAnswer: 2*f - 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - (40\/22 - (-2)\/11). Solve 3*j - 9 = m, 4*m - 9 - d = -5*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3323 is divided by 188.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23823 and 110547.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d**2 + 6*d + 119. Let o(v) = -3*v**2 - 5*v - 120. Calculate -5*m(c) - 6*o(c).\nAnswer: -2*c**2 + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 1:55 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/4, -1\/3, 4 in increasing order.\nAnswer: -1\/3, -0.2, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**2 + 169*g - 537. Let l be k(81). Solve 13 + 137 = l*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2935, 2, 9 in decreasing order.\nAnswer: 2935, 9, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + 3*j + 512 + 320 = 0 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 8 + 13 + 11)*(-4*t + 0*t + 2*t).\nAnswer: -4*t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/3 + 40279*x\/3 + 40276 = 0. Calculate x.\nAnswer: -40276, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 28. Let h be q(-16). Let o be (-10)\/40 + (-1)\/h. Suppose o = -p + 2*p - 8. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gffg when four letters picked without replacement from fgfg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410424 is divided by 204336?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 m when four letters picked without replacement from mhnhnhmnnhhhhnn.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -15*o - 4. Let v be 0 - (-1 + 4\/(o - -3)). Factor 2\/13*r**2 + v*r + 0.\nAnswer: 2*r**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1483 - -168?\nAnswer: -1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 0.27482?\nAnswer: 0.07482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 46. Suppose -8*i = -13*i + j. Suppose w - 4*f = -12, 0 = -5*f + i + 19. Solve 0 = -v - w*b - 2, 0*v - 2*b = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:31 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4120)\/3090)\/(-33*8\/252)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 4*u + 4*u)*(-u**4 - u**4 + 0*u**4) + (6*u - 2*u - 2*u)*(2*u**4 + 2*u**4 - u**4) - u**5 - 6*u**5 + 4*u**5.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1777955.\nAnswer: 5, 355591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -1\/6*s**3 + 14*s**2 + 0 - 1\/6*s**4 + 0*s. Let u(k) = -k. Let v be 4\/(-22) - (46\/(-11) - -2). Determine v*f(a) - 9*u(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) -5 (c) 0.07 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 524*a = 516*a + 448. Let r be (-2)\/(-2 - (-3)\/2). Does 7 divide (a\/10)\/(r\/(-5) - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 5*n**2 + 2*n - 4. Let z be v(5). Let s be 4*3\/24*6. Let m = -872 - -875. Solve -m*q = z - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -911 + 3becf?\nAnswer: 3b5be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -369\/119 - -60\/17. Let q = 49.149 - 48.649. Let j = -9 - -13. Which is the fourth smallest value? (a) j (b) 2 (c) x (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41584*g = -41638*g - 1566 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3715189 + 0.3719. What is k rounded to 5 decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b*f + 676898*b*g - 2*f*g + f + 7*g - 7258 wrt b?\nAnswer: -2*f + 676898*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - m - 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - t. Let d(v) = 5*v**2 + 7*v - 15. Let c(p) = -d(p) - 6*f(p). What are the prime factors of c(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.576 (b) 0.8 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -53721, -53723, -53727, -53733, -53741, -53751?\n\"Answer: -h**2 + h - 53721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -6*w + 2*w + w - 2 - 4*w**2 - w**3. Give u(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 3)*(-2139 - (4 - 2)). Let i = 42773\/10 + z. What is the common denominator of 1\/4 - 964\/80 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 6*f - 3. Let j be z(-7). Suppose 2*g + j*c = 2*c + 4, -9 = -2*g - c. Let u = g + 26. Solve 0 = -5*p - 0*p - 4*b + u, -4*b + 8 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (2 + 9)) + (0 - 6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 7 + -2 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 11:53 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75908 is divided by 130.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (4\/26)\/(15 + 4312\/(-286))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o = 10. Let w = o + -1. Factor 4*m**w + 2*m**4 - 11*m**2 + 12*m + m**3 - 4*m**4 - 4 + m**4 - m**5.\nAnswer: -(m - 2)*(m - 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108.268 - 1251800694\nAnswer: -1251800802.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -52*x**3 + 48*x**2 - 6*x. Let y(l) = 35*l**3 - 34*l**2 + 4*l. Calculate 5*r(c) + 7*y(c).\nAnswer: -15*c**3 + 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*i + 4*w, w = -3*i - 3*w + 38. What is the remainder when 19 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2302455\/2 + -1151227. Let u = -4\/7 - -1\/14. Which is the second smallest value? (a) u (b) -55\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 41. Let u be (-15)\/18 + t\/(-12). Sort u, -2, 2, 0 in increasing order.\nAnswer: -2, u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274234, -547322, -820410, -1093498, -1366586, -1639674?\nAnswer: -1912762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.079237691 to 1 decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeevvvevevevveeeeee. Give prob of sequence evve.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 52 - 11)*(1 - 1 + a)*(2*a + 3*a - 3*a) to the form t*a + b*a**2 + i and give b.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 273218989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -469925 - -469929. Factor -7\/2*q**3 - 1\/2*q**p + 7\/2*q + 1\/2*q**2 + 0.\nAnswer: -q*(q - 1)*(q + 1)*(q + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.992 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2 + 4*q + 5*q**2 - 4*q. Let f be 22\/88 + (-3)\/(-4). Let n(i) = -i. Let h(c) = 16. Let m(z) = f*h(z) - n(z). What is m(o(v))?\nAnswer: v**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/81 and -109\/6054.\nAnswer: 163458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 y, and 1 o when three letters picked without replacement from {f: 3, h: 2, r: 4, o: 1, v: 4, y: 3}?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*c + 7490 = 0, 4*r + 6324 = 2*c - 1178. Let g = r + 7415\/4. Find the common denominator of g and 23\/(-1*2\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f**2 + 5*f - 6. Let d(p) = -2*p**2 + 3*p - 3. What is -3*c(m) + 5*d(m)?\nAnswer: 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -192 (b) 6 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4217773.23 to the nearest 1000.\nAnswer: 4218000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1 - (-6)\/8). Let l(q) = -6*q**2 - 14*q - 3. Let c be 1\/((-3)\/6 - -1). Let j(u) = 2*u**2 + c - 6 + 4 + 1 + 5*u. What is o*l(a) - 11*j(a)?\nAnswer: 2*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/13 - 6830*i**2\/13 - 5888734*i\/13 - 98144434\/13 = 0. What is i?\nAnswer: -1699, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 350.5932 rounded to one dp?\nAnswer: 350.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - 42\/(-12). Suppose 5*x = 5*u + 10, 5*x - x - 8 = m*u. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, q: 9}. Give prob of sequence qj.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p. Let d = 7 - p. Suppose 2*y + d = 63. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 minus 7968613?\nAnswer: -7968612.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 4*y**2 - 6*y + 11. Let v be b(3). Suppose v*u - 111 = -3*r, u + 137 = 4*r - 0*u. Let d be 74\/14 + 1*(-10)\/r. Solve h = d*h - 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 736280*k**3 - 736279*k**3 - 84 - k**2 + 13*k**2 to j*k**3 + t*k**2 + i*k + x and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 - 22 + 3*u**3 + 36 + 70.\nAnswer: -3*u**3 + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + (-2 - (-1 - 1)). Let p = 2 + -2. Suppose p = m*r + r - 130. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:18 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -288\/103 (b) 1\/3 (c) 0 (d) 1\/5 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.03, 5, 3, -0.02, 1\/360 in decreasing order.\nAnswer: 5, 3, 0.1, 0.03, 1\/360, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/13076 and -3\/13076.\nAnswer: 13076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Let r(j) = 223*j + 1 + 182*j - 357*j. Calculate r(q(i)).\nAnswer: -48*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5764*n**2 + 2*n**3 + 4*n**4 + 54*n**4 + 3*n + 2*n + 5763*n**2 + 1 to the form t*n**4 + j*n + z + r*n**3 + d*n**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 108375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(7) + (sqrt(252) - (sqrt(252) - (2 + sqrt(252)))) + sqrt(252) - -3*sqrt(112))**2 - 2*sqrt(42)\/sqrt(6)*-2) + -1).\nAnswer: -26268 - 624*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 332?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c**3 + 4*c**2 + 8*c - 2. Let o be y(4). Let u = 1354 + o. What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*s + 374*s + 72*s = 1155600. Calculate the greatest common divisor of s and 624.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s - 8. Let h be u(3). Let w be (h\/1)\/(11\/176). Solve 4*z + g = -3*g + w, -4*z = 3*g - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than 2720.3?\nAnswer: 2720.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 57 + 6*c**2 + 5*c**3 - 22 - 22 as g*c**2 + k*c**3 + m + b*c and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 90 + x**2 + 7 - 3*x + 0*x**2. What are the prime factors of g(0)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 12 = 5*b. Let s(k) = -k**3 + 9*k**2 + 9*k + 7. Let r be s(10). Sort 4, r, b.\nAnswer: r, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084959.\nAnswer: 127, 16417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - y - 222, l - 2*y = 2*y + 237. Calculate the lowest common multiple of 9 and l.\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 14. Let i = 44 + u. Which is the second biggest value? (a) -5\/4 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 2*y**6\/75 + 47*y**5\/25 + 9*y**4 + 266*y**3\/15 + 88*y**2\/5 - 1263*y. Solve p(b) = 0.\nAnswer: -44, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -13*h**2 + 2\/9*h**3 + 0*h - 1\/180*h**5 - 1\/18*h**4 + 0 + 1\/360*h**6. Determine o so that l(o) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 18 = w, 7 = -3*g + w + 34. Let y = g + -9. Which is the smallest value? (a) y (b) -0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 8*x - 63. 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: Let r be ((-24)\/(-4))\/(-2) - -3. Suppose 0 = -2*k + 5*c + 56, r*k - 3*k - 5*c + 59 = 0. Let l = k - 16. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525657 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 1120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -16, -18 in ascending order.\nAnswer: -18, -16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, q: 6, n: 2, s: 2, z: 1}. What is prob of sequence zt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56390562, 56390561, 56390560, 56390559, 56390558?\n\"Answer: -o + 56390563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**4\/12 - w**3\/3 + 21*w**2 - 17*w. What is the remainder when 167 is divided by n(0)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/20 and ((-1)\/((-5)\/53))\/((-2)\/2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (2 + 3) - -31. Solve -10*r = -r - u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16*l - 23. Let k(p) = 63*p - 93. Let r(q) = -15*a(q) + 4*k(q). Let z be r(11). Suppose -2*o + z = -3*d, 4*d = -0*d - 12. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.8, 0.14, 15795?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 1241\nAnswer: 10\/1241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -608963.9943 - -608853. Let u = 121.1 + -10.1. Let l = x + u. Round l to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/845*-35)\/(-7).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10591 and 5?\nAnswer: 10586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1279\nAnswer: 2\/1279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight thirds of a minute?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -10*v + 47. Let t be j(5). Sort 2, t, 11 in increasing order.\nAnswer: t, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10373\/3 or -3457?\nAnswer: -3457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -3*(-6)\/(-9). Let r be 62\/5 - b\/(-10). Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229048 is divided by 8344.\nAnswer: 3760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 16*q**2 + 21*q. Let f(m) = -8*m - 13*m**2 - 10*m**2 + 28*m + 7*m**2. Let n = 1176 + -1172. Let k(b) = n*t(b) - 5*f(b). Factor k(l).\nAnswer: -4*l*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4967627922 to the power of 1\/3, to the nearest integer?\nAnswer: 1706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.421 rounded to 1 dp?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.34014cm to meters.\nAnswer: 0.4934014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 20 = 0. Let p(u) = 4*u - 10. Let z be p(i). Solve z = -3*q - 0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404*a**3 - 452*a**3 - 235*a**3.\nAnswer: -1091*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1956.5804 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 + -0.31. Which is the third biggest value? (a) -13 (b) 5 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11927*n**3 - 10376 wrt n?\nAnswer: 35781*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 3. Let r(l) = -135*l - 2. Determine -r(u) + z(u).\nAnswer: 134*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 4)*(-14 - -13). Let h be ((-5)\/d + 1)*68. What is the derivative of -158 - z + h + 0*z wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 829555, 827948, 826339, 824728, 823115, 821500?\n\"Answer: -v**2 - 1604*v + 831160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032299 rounded to six decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {n: 2, p: 2, q: 2, y: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 206*r + 775. What is x(-4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202101112222200 + 0?\nAnswer: -1202101112222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83 + 76)*(24\/(-14))\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2393*-3731.\nAnswer: -892.8283","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 23 + 12 + -11 - (5 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/60 + d**4\/24 + 3*d**2\/2 - d. Let j(v) be the first derivative of r(v). What is the second derivative of j(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtxjxrtwwvvvtrrw. Give prob of sequence vwwj.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -84 + 82. Let n be ((-1 + 4)\/6)\/((-3)\/2). Which is the nearest to 1? (a) l (b) -11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2001 = 8*x + 2057 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.29288466 + 6.292. What is x rounded to five dps?\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 2. Let m(t) = -t + 3. Let r be m(5). Let j be x(r). Let s be j + 2 + (10 - 1). What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.2 + -16.4. Let l = 2.1 + g. What is the biggest value in -2\/3, l, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 73.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n + 14*n**4 - 10*n**4 - 7*n**4 - 3*n**3 + 3*n**2.\nAnswer: -3*n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -5*y - 9. Let r(f) = 2*f + 5. Let i(b) = 3*o(b) + 5*r(b). Calculate i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4263344 and 266459.\nAnswer: 4263344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 2. Let b be (3\/(3\/(-4)))\/(-2). Let o be m(b). Let d(n) = -2*n**2 - 56*n - 224. Let v be d(-23). Solve o*s = -3*s - v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, q: 2, c: 1, r: 3, a: 3, w: 4}. Give prob of picking 1 r, 1 q, and 1 a.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.044973 * -85\nAnswer: -3.822705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -1744894.\nAnswer: -1744893.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(196)\/(1*sqrt(256)))\/(2*sqrt(70)\/(sqrt(250) - ((sqrt(250) - sqrt(250)*-1) + sqrt(250)) - sqrt(250))).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - 38 - (-7 + (4 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4*o - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 5:24 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j + j + 2*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 2. Solve -n - 4*n - i - 12 = 0, y*n = 3*i - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 16*f - 56. Let u = -0.6 + 4.6. What is the nearest to -1\/7 in u, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2647 is divided by 241.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -234\/7 at most as big as -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 67. Suppose 0 = 9*y - 206 - 1. What is the remainder when w is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4416 and 874?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*i + 1015 = 509 + 524, 9*i + 18 - 45 = 3*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 217.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2\/4 - 40983*n\/2 - 559868763\/4 = 0. What is n?\nAnswer: -13661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.543962 decades to months.\nAnswer: 65.27544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 370452211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16804 + 5?\nAnswer: 16809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -48 - -37?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.20452 (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**9\/126 - u**5\/12 - 6*u**2. Find the third derivative of s(a) wrt a.\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - n + 8. What is the units digit of a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by -138\nAnswer: 37\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84805207 to the nearest integer?\nAnswer: 9209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:14 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.32954 + 4.32. What is n rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 29231324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -80, 2062 in descending order.\nAnswer: 2062, -0.3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/7*p - 60\/7 - 2\/7*p**2.\nAnswer: -2*(p + 3)*(p + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1615 (base 10) to base 3.\nAnswer: 2012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*p + 3*l, p + 0*l = -3*l - 2. Let q = -4 - -8. Suppose q*v = -v + p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*k + 331*k + 2225 = 1035*k - 289*k for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1\/3 (c) -10 (d) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -1b9?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0*q + 5*q + 8 - 15. Let t be r(2). Suppose -3*a = -a, t*s = -a + 54. What is the lowest common multiple of 8 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 5*h**2 - 6*h + 1. Let f be (-1)\/5 - 29\/5. Let n be i(f). What is the greatest common divisor of n and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124 - 115. Suppose -o*u = 6*u - 14145. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3353, 26143, 88005, 208475, 407089, 703383, 1116893, 1667155?\nAnswer: 2373705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -5) + (0 - -3). Suppose 0 = 5*l + 5*p - 5, -5*l + 5*p + 44 = h. Differentiate 5*q**l - 5*q**4 + 7 - 4*q**4 wrt q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Suppose 4 = -o*c - 4*r, 6*c - 3*r - 21 = 3*c. Differentiate 0*i**c + 7*i**4 - i**4 - 2*i**4 - 4 wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 60 = 5*i. Calculate the highest common divisor of i and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a millimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 8 = -33*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11971 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10*m + 2200 = 0. Calculate the highest common factor of 50 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.993249 millilitres in litres?\nAnswer: 0.001993249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 38. Let u(p) = 2*p + 20. Determine -4*i(r) - 9*u(r).\nAnswer: -2*r - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -1.3. Let q = -136 - -134.33. Let n = q - -0.67. Which is the closest to n? (a) -4 (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x + 12. Let t be v(-2). Suppose -3*g - 4*j = -793, -805 = -g - 2*g + t*j. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 0 + 0)*(2*w - 4*w - 2*w)*(-2 + 3 + 0).\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 9:06 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxu when three letters picked without replacement from {x: 3, u: 5, m: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 - 4*c**2 + 2.\nAnswer: 2*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12 = -5*t + 7, -3*s + 4*t + 19 = 0. Suppose -76*w - 3705 = -141*w. Calculate the greatest common factor of w and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35595989 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 10*y**2 + 7*y + 30. Let z be b(-9). Is -956*3*(-68)\/z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 + 16*u - 135. Let z(n) = -3*n**2 + 11*n - 90. Let v(p) = -5*m(p) + 7*z(p). Let b be v(0). Calculate the highest common divisor of 18 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3636*p + 3639*p - 4104 = 0. Calculate the highest common divisor of 72 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - 39\/4 - 7 and (28\/(-16))\/((-6)\/(-22)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times -202370\nAnswer: -2023.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-16 - (-26 + 7) - (-6 - -39))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 313.1 and -12389.\nAnswer: -3878995.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13 + -18)*(-269)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*s + 310 = 5*s - 61*s. Put -0.04, 4, -1\/5, s, -1 in decreasing order.\nAnswer: 4, -0.04, -1\/5, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 1 = h, -2*h = -0*k + k - 2. Suppose k = -5*i, -g + 4*i + 35 = 3*i. What is the highest common divisor of 14 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 8:45 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58775*s**4 + 2 + 277*s - 58775*s**4 + 2*s**5 + (-s**2 - 2*s**2 + s**2)*(-2*s**3 + 2 - 2) + 0 + s**5 + 0.\nAnswer: 7*s**5 + 277*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19119328.69999993 + -19119329. Let m = y - -0.3. What is m rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 813746 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 8 = -4*q, 0 = -39*w + 42*w + 4*q + 8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 2. Let h be k(-12). Suppose -25 = 3*x - h. Which is the nearest to -5\/3? (a) -0.1 (b) x (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1222 = -t - 3*x, 442 = t + 2*x - 781. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -342 + 7\/2*l**2 - 1196*l.\nAnswer: (l - 342)*(7*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50 in 0.5, -4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 2*d + 1. Let m = 10 + -13. Let n be w(m). Let t = n - 6. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*f + 8, 4*f - 8*f = -3*d + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24974 - 8223. What are the prime factors of q?\nAnswer: 7, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 4*f + 60 = 0. Let g be (12\/(-42))\/(f\/84). What is the greatest common divisor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/7 + 13\/((-52)\/(-24))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 147 and 5243.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/3245 and 26\/55.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 95\/4. Let y = 32\/3 - 10. What is the nearest to y in h, 2, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25227*a*d + a + 4462 wrt d.\nAnswer: 25227*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0483 * -1.34.\nAnswer: -0.064722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -347*u**4 - 293*u**4 + 4 - 3*u + 4*u + 591*u**4 to the form c*u**4 + h*u**3 + x*u + b + p*u**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxdx when four letters picked without replacement from {x: 4, d: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i - 10*i**2 - 3*i**2 + 110 - 110 as p*i**2 + u*i + v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 1030192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - (-515 - -512)) + 35\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -12 (b) 1328738 (c) 1 (d) -4 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + m = -11, 7 = -5*m + 27 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -94. Calculate the remainder when k is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 - 151*u - 195. Let p be o(39). Factor p + 20\/7*n**2 - 2\/7*n**3 - 50\/7*n.\nAnswer: -2*n*(n - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((5\/5)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22304140 less than 0.4?\nAnswer: -22304139.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74763, 152819, 230875?\n\"Answer: 78056*x - 3293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.35, 1\/7, -1, 2\/81, 5 in descending order.\nAnswer: 20, 5, 0.35, 1\/7, 2\/81, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-420) - ((-22)\/10 - -2). Sort -2, 0.5, 4, k in increasing order.\nAnswer: -2, k, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-1)*(-87)\/(-58). Let u(z) = z**3 - 18*z**2 + z - 14. Let c be u(18). Put c, 1, q in decreasing order.\nAnswer: c, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 0 - b - 4*b**2 + 5*b**2 - 4. Let o be l(3). Is o - -85 - (2 + 1) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*n - 8. Let q = n - -3. Sort 8, -1, q in decreasing order.\nAnswer: 8, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a*r + 9799*a + 29*r wrt r?\nAnswer: 8*a + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 97 = 3*q - 5*x, 20 = q - 4*x. Solve j - 9 + 34 = 5*s, -2*s + 4*j + q = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 3080?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -69. Let l(h) = 3*h + 2. Let w(q) = 16*q + 11. Let j(r) = 11*l(r) - 2*w(r). Let f be j(4). What is the smallest value in 3, f, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let c = s - -3. Find the first derivative of 0 - 3 - d + c wrt d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -16*z**2 - 9*z - 4. Let a(i) = -19*i**2 - 11*i - 5. Let x(y) = 5*a(y) - 6*w(y). Let p(l) = -4*l**3 + 4*l**2 - 4*l - 4. What is 2*p(r) - 8*x(r)?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5366.1081 rounded to the nearest 10?\nAnswer: 5370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (82 - 136 - 46)*(-6*h + 6*h + 4*h)*(-3 + 10 + 0) as z + u*h and give u.\nAnswer: -2800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 15, p: 4}. What is prob of picking 1 p and 3 y?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hffl when four letters picked without replacement from {f: 4, h: 9, l: 1}.\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25188675*g - 25188591*g + 75565933*g - 25188669*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 759443361939?\nAnswer: 759443361938.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 + -111. Suppose 0 = -z - l + 54. Let b = z + 4. What is the remainder when 145 is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p. Let q(z) = 12*z + 18 - 97 + 79. What is s(q(o))?\nAnswer: 120*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = u - 122, -8*s + 14*s + 42*u - 98*u = 2*s - 16 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4213*v - 12 + 11 + 5391*v - v**2 to j*v**2 + g + m*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30075 is divided by 734?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 8*s - 10. What is j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 107899*w\/4 - 13085061\/2.\nAnswer: (w - 242)*(w + 108141)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42fa71 (base 16) to base 10.\nAnswer: -4389489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(5)*-1 + sqrt(5)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1207*d*p - p + 1151 with respect to d.\nAnswer: -1207*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/16*(-16)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/11 (b) -4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 3, j: 3, v: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Let m(f) = 3 - 6*f - 4*f**2 + 7 + 0*f + 3*f**i. Give m(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.612442 centuries?\nAnswer: 0.4612442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*l**2*s**4 - 5*l**2*w - 5194365*l*w - 182589*s**4*w wrt s?\nAnswer: 64*l**2*s**3 - 730356*s**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -10 - (33 + -76).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1138*h - 8 - 1 + 9 + 3433*h)*(h - 3*h + h).\nAnswer: -4571*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1539)*-6 - -1*sqrt(171)\/sqrt(9)*-3)**2.\nAnswer: 480339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 4)*(0 - 3*q + 0)*(63 + 1551 - 576) as d + p*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 3, -3, 99 in increasing order.\nAnswer: -6, -3, 1, 3, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.15, -1\/2, -3\/4, -1, 2\/7 in increasing order.\nAnswer: -3.15, -1, -3\/4, -1\/2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/3*3\/(-12). Suppose -3*y + 13 = 2*y - 4*h, -2 = -4*y - h. Let g = 313\/763 + 2\/109. Put g, m, y in descending order.\nAnswer: y, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/(-2) + (-35)\/10)\/(-1). Suppose 8*s = 3*s. Suppose 3*r + q*w + 629990 = s, -5*w - 362170 - 57820 = 2*r. What is r rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - (2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*d - 160, 3*d + 160 = 5*q - d. Suppose -79 = -4*y + 53. Which is greater: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -73. Let r = 58 + o. Suppose 0 = y + 2*j - 7, -4*y - y - r = -2*j. What is the greatest common factor of y and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x = -44. Let o = x + 14. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.22 + 21. Round v to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**6\/50 + 21*k**5\/100 + 9*k**4\/10 + 2*k**3 + 12*k**2\/5 - 6*k. Factor g(m).\nAnswer: 3*(m + 1)*(m + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 - 2 = 0. Suppose d*j - 47 = 1. Suppose -u - y - 4*y = 14, 3*y + j = 2*u. What is the lowest common multiple of u and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128400822?\nAnswer: 2, 3, 11, 19, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 3. Let l = -5303 - -5310. Solve -l = -z - r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171974.3397 rounded to the nearest 1000?\nAnswer: 172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from {s: 1, l: 1, h: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -254*d - 230?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - 100. Let w = a + 118. Solve w*k + 12 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166 - -179. Solve s + 5 - 2 = a, -3*a + p = -5*s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - 1) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 253309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11470700 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -1. What is the nearest to -1 in 0.3, -2\/3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s + 38 = 2*b, -2*s = -b - 0*b + 49 - 60 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*b - 6. Let u be b\/2*212\/5. Suppose -u = -4*k + 42. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/50 and -5\/4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081599345 rounded to three dps?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7390736 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**3\/3 + 5*q**2\/2 + 6*q + 3564. Determine l(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-1 - 1 - (-11 - -11)). Is 42 a factor of (-3)\/(9\/2)*u*-137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*l + l = -96, -l = 0. Let j = f + 29. Suppose 255 + 560 = j*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(((sqrt(1539) + 1*(-2 + sqrt(1539)))*-6)**2 + ((sqrt(1216) + sqrt(1216) + 2*sqrt(1216))**2*3 + sqrt(1216))*-1).\nAnswer: -816957 + 13000*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-1836)\/238)*516\/(-21)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((9 - -3)\/(-4))\/(-1) is divided by 3\/2*15\/((-75)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2 - 2*p - 13. Let d be b(6). Let s = d + -4. What is the remainder when (-150)\/(-8) - (-1)\/4 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -21*j. Let x(p) = 5917*p. Give -4*s(w) + x(w).\nAnswer: 6001*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*b**2 + 28*b**2 - 25*b**2 as m*b**2 + p*b + t and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*y = -104, -2*y + 5*y - 63 = o. Let w = 61 + o. Solve -4*q + w*t = 0, -18 + 0 = -5*q - t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 3\/4*q**4 + 0*q**2 + 0*q**6 + 0*q**5 + 10*q - 1\/21*q**7 + 0 + 0*q**3. What is the third derivative of j(w) wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-109 - -115 - (-1 + 4))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 69.79681*1.2\nAnswer: 83.756172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, t: 5, i: 2}. What is prob of picking 3 t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 22. Let r be (5\/v)\/((-2)\/(-90)). What is the lowest common multiple of (8\/(-10))\/((-6)\/r) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:39 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45 - ((5 - -1) + -11 + (21 - 14)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -169*f**4\/8 - 3185*f**3\/4 - 52641*f**2\/8 + 38313*f\/2 + 49923\/2 = 0.\nAnswer: -258\/13, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 16 = a, -g + 4*a - 36 = -6*g. Let x be 3*g\/(-6) + 3. Solve 2*k = 3*k - x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.42 + 24.58. Let f = t + -24.19. Round f to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/((-6)\/8)*34\/4 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**3 + 5*u**2 - 5*u - 1. Let n(z) = z**3 + 4*z**2 - 4*z. Let a(q) = -3*n(q) + 2*s(q). List the prime factors of a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -171 (b) -492 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, o: 10, u: 2}. Give prob of picking 2 o, 1 u, and 1 e.\nAnswer: 180\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**5\/6 + 79*z**4\/6 + 40*z**3\/3 = 0. Calculate z.\nAnswer: -1, 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -723 * 33976.\nAnswer: -24564648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4 + 518*b**2 - 910.\nAnswer: -8*b**3 + 1036*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1003 + 1301023021?\nAnswer: 1301022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 1}. What is prob of picking 2 m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27642*q - 13816*q + 103 - 4*q**2 - 13821*q + q**3 to y*q**2 + v + b*q**3 + l*q and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + ((-19665)\/38)\/45.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, -1, -0.03, 5\/2, -6, 1\/4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 102 (b) 393 (c) -5 (d) 0 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/11 - 10*j**3\/11 + 828*j**2\/11.\nAnswer: -2*j**2*(j - 18)*(j + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 1191*h**2. Let y(s) = -13*s**2. What is x(y(l))?\nAnswer: 201279*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485835181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(h - 2*h - 3*h)*(-53 + 5*h + 53)*(-2*h + 1 - 1).\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149978 and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007301 to five dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**40\/(v*v**(-3)*v**(-7)) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4 - f - 4 - 7. Let t(r) = -6*r - 41. Let x = 51 - 85. Let y(d) = x*p(d) + 6*t(d). Calculate y(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*o + 9*o - 1175*o**5 + 1146*o**5 wrt o?\nAnswer: -580*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15807.7 to the nearest ten.\nAnswer: 15810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 180. Suppose -10*v - v - 396 = 0. Find the common denominator of (754\/45)\/(-2) + 8\/v and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/15584 and 15\/22.\nAnswer: 171424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*h**3 - g**2*h*q**2 + 2*g**2*q**3 - 3*g**2 - 2*g*h**3*q**2 + 127*h**3*q**3 wrt q?\nAnswer: 12*g**2 + 762*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 4*q + 4. Suppose 5 + 7 = -4*f, -3*a - 3*f - 21 = 0. Let i(h) = h - 1. Let w(t) = a*i(t) - x(t). Let z(g) = 2*g. Calculate w(z(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -188688.\nAnswer: -188688.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 2 + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112031032211 (base 4) in base 5?\nAnswer: 2442240344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 62.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2944032 divided by -4368.\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 96822?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 24 = -9*o. Suppose -o*s + 25 = -s. Solve s*t + 14 = -11 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -26*t**3\/3 - 23*t**2\/2 + 3976. Let d(c) = 4*c. Calculate d(y(o)).\nAnswer: -104*o**2 - 92*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y**3 + 31*y**3 - y**2 - 14*y**3)*(-y + y - 4*y)*(0*y + 4*y - 2*y).\nAnswer: -16*y**5 + 8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12 + -13)\/((-2)\/6). Let j(a) = -8*a + 6. Let v(s) = 9*s - 7. Let r(d) = 3*j(d) + 2*v(d). Let o(u) = 17*u - 11. Give b*o(h) + 8*r(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 2*b = -0*k + 3, 2*b - 3 = 3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14785 or -14789?\nAnswer: -14785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2447*n**2 - 1225*n**2 - 1227*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((24095\/30)\/(-61))\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, -30, -185, -398, -669, -998, -1385?\n\"Answer: -29*j**2 - 10*j + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244304 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -n - 4*a, n + 4*n - 25 = -3*a. Let r be (4\/(-5))\/(n\/(-10)). Solve -r = -d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 2. Let c be n(4). Let o be (12\/(-5))\/(c\/(-40)). Suppose 4*u = -5*r + 35, 5*r - 6 = 5*u - o. Solve -5 = u*m - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - v**2 - v + 1. Let q be h(1). Let r = 9 - q. Solve -3 = -j - r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 2765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5525825607 rounded to the nearest 100000?\nAnswer: 5525800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 32 = -2*h, -94*i = -90*i - 3*h + 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**4 - 21195*f**3 + 1528870*f**2 - 34554420*f + 249710040 = 0.\nAnswer: 18, 37, 4166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 less than -1955\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**(7\/2)\/c))**(-40) assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*w - 3*w**5 + 0*w**5 + 3*w - 13*w**5 wrt w.\nAnswer: -320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -40*r + 12. Let a be l(-9). What is the common denominator of 3875\/a + (0 - -3) + -1 and 119\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h - 2991*h = 1355*h - 102264 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4, -23, -14488 in descending order.\nAnswer: 0.4, -5, -23, -14488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p - p = -2*j - 0*j - 12*p - 47, -42 = -16*j - 2*p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q - q)*(4 - 6 + 1)*(2*q**3 - 5*q**3 + q**3)*(3 + 19*q - 3)*(-1 + 0 - 1).\nAnswer: 76*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2541342, -5082679, -7624016, -10165353, -12706690?\nAnswer: -15248027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 - 75*c - 1299. Is k(-35) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 11\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from lbrrbrbr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - 1)\/((-2)\/6). Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8064) + sqrt(8064)*-1 + sqrt(8064))\/(sqrt(64)*2))\/(sqrt(20)\/(sqrt(20)\/sqrt(2) + sqrt(10)) - sqrt(8)\/sqrt(4)*1).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032938167 rounded to five decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 10 - 20*s - 11*s**2 + 22*s + 10 to the form a*s**3 + d*s**2 + k*s + x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 3*s + s + (0*s + s + 0*s)*(-2 - 1 + 4) + (24 + 2*s - 18 + 0*s)*(-1 + 2 + 1).\nAnswer: 8*s + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 14) to base 9.\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z - 21 = 0. Suppose 2*p + 19 = 3*k, 5*k - 2*p = 22 + z. Let d = 27\/7 - 229\/63. Which is the second smallest value? (a) d (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 v, and 1 n when three letters picked without replacement from {n: 3, v: 9, z: 2, s: 3}?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n**2 + 4*n - 8. Let q(f) = 4*f**2 - 3*f + 6. Let b(g) = -3*a(g) - 4*q(g). Let s(o) = -27*o. Give b(s(l)).\nAnswer: -729*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + -10 + 13 + 15 + -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 7. Let m(d) = d**2 - 4*d - 2. Is m(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*w**5 + 245*w**4 + 335*w**3 - 245*w**2 - 290*w = 0. Calculate w.\nAnswer: -1, 0, 1, 58\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bsp when three letters picked without replacement from {p: 2, e: 1, s: 2, u: 1, b: 2, d: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2189512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*b + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 91*r - 5. Let t(p) = 4687*p - 258. Give -258*m(x) + 5*t(x).\nAnswer: -43*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17585 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52.9 - 50. Let b = t - 3. What is the nearest to -1\/3 in b, 0.4, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 11322546.7\nAnswer: -5661273.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.195 less than -4?\nAnswer: -43.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -12.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 11. Let k(q) = -q**2 - 8*q**2 + l - 39*q + 44*q. Let s(f) = -f**2 + 2*f. Let n be s(4). Let i(r) = -14*r**2 + 8*r + 14. Give n*k(d) + 5*i(d).\nAnswer: 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 32771\nAnswer: 22\/32771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-1)\/(16\/3488). Let y = d - -203. Is 4 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13272\/6320 + 13\/(-5))\/((-9)\/102)*-15?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4782, 4845, 4920, 5013, 5130?\nAnswer: 5277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-3\/2))*k**(-3))\/(k**(1\/20)\/k**(-2\/5)) assuming k is positive.\nAnswer: k**(-39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -15\/479?\nAnswer: -15\/479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2349144 divided by 3.\nAnswer: 783048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**7\/42 - 2*c**6\/15 - 25*c**4\/6 + c**3\/3 - 4843*c**2\/2 + c - 2672. Find the second derivative of g(p) wrt p.\nAnswer: 20*p**3 - 48*p**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0*p - 3*p + 4*p. Let q(t) be the second derivative of 3*t**3\/2 - 5*t**2\/2 - 2*t - 31. Calculate q(l(f)).\nAnswer: 9*f - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*l = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 11*i**8\/560 + i**7\/420 - 11*i**4\/3 + i**3\/3 + 3*i + 106. Let q(o) be the third derivative of d(o). Differentiate q(r) wrt r.\nAnswer: 132*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 - -717. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by 27\nAnswer: -85\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1077 (base 9) in base 11?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 3*m**2 - 2*m**2)*(5*m**2 + 5*m**2 - 5*m**2)*(-1 + 0 + 3).\nAnswer: -20*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.018, 12, -6\/17, -4 in increasing order.\nAnswer: -4, -2\/3, -6\/17, -0.018, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1738642876 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 439.9533m?\nAnswer: 439953.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748842269?\nAnswer: 7, 19, 1109, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6458 is divided by 3146?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phfrs. Give prob of picking 1 h, 1 s, and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 371 + -209. Calculate the greatest common divisor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Suppose -2*b + j*q - 10 = 0, -3*q = 4*b - 29 + 5. Suppose -2*v + c = -322, -5*c - 701 + 218 = -b*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -786 + 388. Let z = 402 - t. Solve k - z*k + 4*q = 6, 5*k = -4*q + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 h when three letters picked without replacement from jhhbeujz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4157, -32249, -108483, -256925, -501641, -866697?\nAnswer: -1376159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.3, 11, -4, 0.5, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -44144.1 to the nearest one hundred.\nAnswer: -44100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22304, 44586, 66894, 89228, 111588, 133974?\n\"Answer: 13*u**2 + 22243*u + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 5*z + 264 = 294, 0 = 2*h + 5*z + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 19. Suppose t + c = z + 39, 3*c = t - 64. Let r = 61 - t. What is the highest common factor of 60 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2 + 5 - 4*x - 3. Let v(q) be the second derivative of -q**4\/4 + 16*q. Determine c(v(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 635260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)*(p*p**(-3\/5))\/p)\/(p*p**1)**0 assuming p is positive.\nAnswer: p**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179 - 179 - 6*a)*(-11 + 21 + 5).\nAnswer: -90*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/15)\/v*v*v*v*v\/((v*v**4)\/v)*(v*v**(-1\/2))**(-1\/49) assuming v is positive.\nAnswer: v**(-1583\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 282469425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4515*g + 907503. What is q(-201)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from uhuuuouaaalloohuaa?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q. Let x(t) be the second derivative of -t**4\/6 - 6*t. What is x(u(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a17a (base 12) to base 11.\nAnswer: -26817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**19*v**(-7\/10))\/(v*(v**(3\/4)*v)\/v)**(-25) assuming v is positive.\nAnswer: v**(1241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -408.1, 5?\nAnswer: -408.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-14) + -1 + 52\/(-13).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.96 - 0.04. Let o = 0.8 + m. What is the second biggest value in 3\/4, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5060*c + 20831 + 82225 = 7207*c for c.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 2*d - 2. Let l(i) be the second derivative of -i**4\/3 + i**3\/3 - 3*i**2\/2 + 6*i. Let t be (-182)\/(-49) + 2\/7. Determine t*l(s) - 5*n(s).\nAnswer: -s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-637)\/15288)\/(19\/38*(-18)\/(-4))\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from hrvryhtrrhtyhm.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3016 and 14761?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) -1 (c) 135851 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512143 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.0454 + 3.0454. Which is the closest to 0? (a) l (b) 1\/3 (c) -0.3 (d) 135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109702 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/2 - 16318362*z**2 + 32636721*z\/2 = 0. What is z?\nAnswer: 0, 1, 10878907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27441 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - -1. Let n = 24 - 22.1. Let g = s - n. What is the smallest value in g, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 10*v + 4. Let h be s(10). Let m = -199 - -208. Find the second derivative of m*c**4 + 27*c + 3*c**h + 8*c**4 wrt c.\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjyppzpppjjjjjtp. Give prob of sequence ty.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*v + 1292, -5*v + 7*v + 3876 = 3*h. Calculate the remainder when h is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from iiiiibibiiii.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - 4 + 4)*(o**2 + 2*o**2 - 4*o**2) - 6*o**3 - 4*o**3 - 10*o**3)*(-o**2 + 0*o**2 + 3*o**2).\nAnswer: -44*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4)*(-16 - 140\/(-10)). Sort -239, -3, d, 3 in ascending order.\nAnswer: -239, -3, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 5:57 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -95. Let y = g + 120. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627750 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: Solve 59*q - 64*q + 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -99*x**3 - 3*x**2 - 5*x + 2275. Let k(s) = s**3 + s**2 + s + 1. Let f(w) = -c(w) - 3*k(w). Differentiate f(n) wrt n.\nAnswer: 288*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**7)*y)**4\/(((y*(y**(-1)\/y)\/y*y*y)\/y)\/y*y\/y**11))**26 assuming y is positive.\nAnswer: y**1144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1836 divided by -612\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frf when three letters picked without replacement from uutfuxefrtfuute?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(55)*4)\/sqrt(5) - sqrt(11)))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 112*m - 90*m - 1260864. What is the highest common factor of 144 and m?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 - 21025*q**4 + 377370*q**3 - 2262060*q**2 + 4521960*q.\nAnswer: 5*q*(q - 4187)*(q - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1498 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*t + 28, 0 = 1591*t - 1593*t + 6*l - 28 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*f**3 + 129*f**2 - 236*f**3 - 2*f**5 - 74*f**3 wrt f.\nAnswer: -120*f**2 - 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*o + 33 + 33, 2*o + 22 = -5*d. Let b(t) = -2*t**2 - 5*t - 5. Let u(r) = -6*r**2 - 16*r - 16. What is o*b(a) + 5*u(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 94 (b) -4 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -54, -22, -2, 1, 2\/3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 4 + 2*n - 4*n. Let u be p(7). Let 6 + 12*w + 0 + 2 + 4 + u*w**2 = 0. What is w?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 383.54 from -34.\nAnswer: -417.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 53361354 divided by 167803\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.524 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 0)*(2 + 5*d - 2) - 2*d - 1 + 1)*(-d**2 - 1 + 1) + 18*d**3 + 2*d**3 + 24*d**3.\nAnswer: 51*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3180010769?\nAnswer: 13, 17, 37, 388897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3356.674 to the nearest integer.\nAnswer: 3357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b194 + 203a?\nAnswer: -19157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -238, -2\/7, -210, -1\/3?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57307080 is divided by 1989?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 13, 34, 73, 136, 229?\n\"Answer: k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzmzlzzzzll. What is prob of sequence zz?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 2:17 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-20))\/(6\/15). Suppose -v - 3 = 2*d, 60 = c*v + 2*v - 5*d. Let y = -13 - -19. Which is smaller: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 26 = -0*r - 3*r, 4*r + 38 = 2*v. Suppose -8*f = -3*f + 5. Sort f, r, -5 in decreasing order.\nAnswer: f, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232131 (base 4) in base 16?\nAnswer: 1b9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-68)*((-1)\/2)\/(25\/(150\/12)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b - 2*b**2 - 21*b + 8*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 4*n + 84. Let i = 5 + n. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7830 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 140121 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 96400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-20)*-1)\/((-825)\/(-9625))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -3 - (-6 - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -15\/4, -1\/5, 0.1?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 24 = -4. Suppose d*u - 336 = u. Suppose 3*x + 5*f - 26 = 0, 3*x - 5*f - 60 = -14. What is the highest common divisor of u and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 218059, 215653, 213247?\n\"Answer: -2406*r + 220465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -15*a + 119. Calculate o(-4).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 3. Let x be m(-6). Let b be (-9)\/(-6)*3\/27*6. Calculate the greatest common factor of x and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -6*9\/30)\/((-2835)\/2025)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20725, 41435, 62143, 82861, 103601, 124375, 145195?\n\"Answer: 2*a**3 - 13*a**2 + 20735*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - -49.9810131388?\nAnswer: 50.1810131388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 982, 2889, 6068, 10519, 16242, 23237?\nAnswer: 31504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 1\/4, -5, 0.4, -1\/78?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 4 (c) 0.06 (d) -7 (e) -15 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1045 and 1375?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 = 4*o, 2*o - o = -5*b - 1. Suppose b = -22*i + 5*i + 8194. What are the prime factors of i?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*(x\/x**(1\/2))\/x)\/x)*x)\/(x*x**(-9\/5)))**(5\/13) assuming x is positive.\nAnswer: x**(33\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 + 1755 = 3*x. Let q = x - 4597\/7. Let z = -2 - -2.5. Sort z, 1\/3, -0.2, q in decreasing order.\nAnswer: z, 1\/3, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8069 divide 958653683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, -0.1, -2, 3, -3\/287?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 4*y**7\/21 + 13*y**4\/12 + 2*y. What is the third derivative of f(z) wrt z?\nAnswer: 480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 4. Let d(l) = -l - 3. Let f(u) = -4*d(u) - 3*h(u). Let t(i) be the third derivative of i**5\/30 + i**2. Calculate t(f(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/255 + 52\/85. Let p(j) be the second derivative of 12*j**2 + 0 - m*j**4 + 1\/5*j**5 - 10\/3*j**3 - 27*j. Let p(w) = 0. What is w?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, j: 2, a: 4, l: 1, z: 6}. Give prob of sequence aajy.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62339*k**3*w**3 - 342791*k**3 - 8*k*w**2 - 43*w**3 wrt w.\nAnswer: 374034*k**3 - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(1\/2)*u)\/u**(2\/15))\/(u\/(u\/u**(-1)))**(-15))\/((u*u\/u**1)**(-20)\/((u\/(u**3\/u))\/(u**(-2\/7)*u))) assuming u is positive.\nAnswer: u**(977\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5\/7 - 428196*v**4\/7 - 104229263*v**3\/7 - 6283186104*v**2\/7 + 6361572148*v\/7 - 1596934128\/7 = 0. What is v?\nAnswer: -122, 1\/2, 107292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166 is divided by 366.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 8731897?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 214*p + 2778. Determine m(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.08 - -7.78. What is the nearest to g in 0.06, 5, 0, -1\/8?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 10*z - 2. What is the units digit of s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 6*k - 5. Let x be 2 - (0 - -2)*-4. Suppose 5*l - 4*v + x = 0, -2*l - v + 6 = -3. Calculate the remainder when l is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -66, -2, -4, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -21. Suppose t = 5*h - 409 - 721. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, -5, -4, 469, -3\/2 in increasing order.\nAnswer: -5, -4, -3\/2, -0.05, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-7\/4)\/w)**(12\/11) assuming w is positive.\nAnswer: w**(-21\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1085715.861 to the nearest 100.\nAnswer: -1085700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c - 4. Let g(x) = 4 + 8*x - 5 - 1. Let w(r) = -11*g(r) + 6*i(r). Determine w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -4619.146.\nAnswer: -4618.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21619 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 808*k**2 + 15680*k - 27282. Give v(-827).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 divided by -1096568.\nAnswer: -29\/1096568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjnrj. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3042.0192 - 3042. What is d rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456108?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/6 of a century?\nAnswer: 8600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23918518.4 - -0.29.\nAnswer: -23918518.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2352)\/(-40))\/(-14)*-1*(-8)\/28?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 3456.\nAnswer: 3456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792067 is divided by 602.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 24*o + 22. Let m be k(-7). Which is smaller: m or -1\/69?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = m + 3*m + 3*z, 5*z - 200 = -5*m. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 17. Let f(o) = -3*o. Give f(z(t)).\nAnswer: -6*t + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/2844 and 58421\/22374 + 4\/6 + (-7)\/(-3).\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79 - 11*t + 79 + t - 4*t + t + (-1 + t + 1)*(-3 - 1 + 6) + 4*t - 4*t + 2*t + t + 0*t + t)*(t - 3*t + t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3588 + -3583. Which is smaller: y or 51.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1026, -2085, -3144, -4203, -5262, -6321?\nAnswer: -7380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38690352*g**3 + 40339182*g wrt g.\nAnswer: 232142112*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*h**5 + 7713*h**4\/2 - 260344*h**3 + 5704908*h**2 - 15496480*h + 10194888 = 0. Calculate h.\nAnswer: 33\/32, 2, 46, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 258288020 plus -1?\nAnswer: 258288019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-24)\/6 + -1. Let u be ((-10)\/(-25) + 0)\/(2\/(-20)). Let k be w*((-8)\/(u - -6) - 0). Let b(t) = -3*t. Give b(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9748+-0.1\nAnswer: 9747.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441.\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2091, 2549, 3009, 3471?\nAnswer: 3935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-40)\/(-15))\/((-4)\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2 - 50*c + 625 = 0.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.95204 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 5\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -43*y**2 - 4*y + 36. Let x(m) = -43*m**2 - 3*m + 27. Let p(q) = 3*j(q) - 4*x(q). Let i(f) = 76*f. Determine p(i(u)).\nAnswer: 248368*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 23 = -3*v + 4*y, -2*v = -5*y + 49. Let o = -26 - v. Calculate the least common multiple of o and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Evaluate (-3)\/(-36) - 118\/((-110448)\/(-150)) - 1532\/26.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (100\/6)\/((-1)\/6). Is u\/(-1) + (0 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 0. Let a = r - -36. Is 11 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 13) + -22 + (-1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 4861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 4*o + 3*o)*((-7 + 5 + 11)*(-2 + 1 - 2) - 6 + 2 + 0 - 2 + 1 + 0 - 1 + 0 + 2 + (-6 + 2 + 3)*(-1 - 4 + 3)).\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 4*i + 8, -5*t - 16 = 3*i. Let v be 4\/(-60) + t\/(-5). Put -2\/5, 2\/7, v in descending order.\nAnswer: v, 2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.1 in -8\/3, 4, 0, 2, -2, 455?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*w + 2*w. Suppose o = -2*o + w. Let q be (0*o\/(-6))\/2. Solve -2*z + 10 = -5*g, 2*z + 3*z - 2*g - 4 = q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10 - 1)*(2*y - 2*y - 2*y) + 4 - 3 + 1 + 2*y.\nAnswer: -18*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/((-192)\/(-36))*-6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/42*-66 - (-3*16)\/(-8)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2.6. Suppose -5*g - 3*m + 0*m + 11 = 0, -3*g = 3*m - 9. Which is the second smallest value? (a) f (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192261517.\nAnswer: 107, 11142631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(550) + 3*(sqrt(550)*-2 - sqrt(550))))\/(2*(sqrt(99) + (sqrt(99) - sqrt(99)*-1 - sqrt(99))) - sqrt(99) - (sqrt(99) + 1*sqrt(99)*-1 - sqrt(99))).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -3, 1, 3, 39304 in increasing order.\nAnswer: -5, -3, 0, 1, 3, 39304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3\/7 + 100*y**2\/7 + 212*y\/7 + 108\/7.\nAnswer: -4*(y - 27)*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 19564873 - 2339\nAnswer: 19562534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 2*v - v)*(11*v - 158*v - 22*v) + v**2 + v**2 - v**2 as a*v**2 + k + y*v and give a.\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/3 + c**3\/3 + 2*c**2.\nAnswer: -c**2*(c - 3)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293 - 293.1. Let k(p) = -p**3 + 8*p**2 - 2*p + 3. Let u be k(8). Which is the nearest to -2\/7? (a) 1\/4 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 0.6. Let q = -2.7 - -0.5. Let f = q - -0.2. Which is the second smallest value? (a) h (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 + (2 - -2) - 7 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 18. Suppose 4*h - 27 = p. What is the greatest common divisor of 72 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/125? (a) 1.722 (b) 2\/3 (c) -1 (d) -5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8239*b**3 - 5*b**2 + b - 5. Let p be (-14)\/(-3) - 6\/(-18). Let a be s(p). Round a to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6505 = -s + a, -4*s + 5*a = -5183. What is the remainder when s is divided by 185?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 19 = -4*g, 14*g - 18 = 19*g - 2*y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4 - 1 + 4 - 1 + (-4 + 2 + 0)*(4 - 1 - 1) - 6 + 2 + 5)*(2 - 1 - 3)*(-17 + 10 - 26)*(6*w**2 - 3*w**2 - 2*w**2).\nAnswer: -198*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -581108 divided by 4.\nAnswer: -145277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 4 - 3 - 4)*(7 - 6 + 9) as w*a + l and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1633122?\nAnswer: 8165610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*a - 1989 = 49*a + 291*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -15*l. Let x be f(-1). Let a = -2 + x. Let g = 1 + a. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/7)\/(v\/v**(10\/11))*(v**(2\/3)*v)**9 assuming v is positive.\nAnswer: v**(1203\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -235430588 by 6.\nAnswer: -117715294\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429150 divided by -142915?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**3 - 11*b**2 - 2*b - 6. Let u(n) = 4*n**3 + 6*n**2 + n + 3. Suppose -4*a - 4 = 0, -4*v - a + 4*a = -27. Calculate v*o(m) + 11*u(m).\nAnswer: 2*m**3 - m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(432) - sqrt(432)*2))**2 + 2 - 5*(sqrt(432) - (sqrt(432) - (sqrt(432) + sqrt(432) + sqrt(432)*2)*-6))**2.\nAnswer: -1228606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 50, 183, 416, 755, 1206, 1775, 2468?\n\"Answer: l**3 + 44*l**2 - 6*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335979593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxrrxxxx. Give prob of sequence rr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.85 and 3.\nAnswer: -20.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160.3*-0.06.\nAnswer: -9.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.273? (a) -4 (b) 6 (c) 17 (d) 5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzwz when four letters picked without replacement from {w: 1, z: 19}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 12212?\nAnswer: -20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225.7 + -0.026.\nAnswer: -225.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19609 + -1 + 2 - (88 - 85) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(3\/6*2). Let l be 4 - (q - 120\/(-28)). What is the nearest to l in -31, 1\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 12, r - 367 = -5*l - r. Is 80 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1269\/6345)\/(102\/(-10))?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9)\/(l**(-5)*l))\/((l\/((l\/l**1)\/l))\/l*l**(-2\/15)*l) assuming l is positive.\nAnswer: l**(106\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 536579400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**3\/3 - j**2\/2 - j. Let t be a(3). Solve b = -2*b + 5*v + 17, -5*b = t*v + 25 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.5 + 1690253527862\nAnswer: 1690253527879.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102341 and 2911425.\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, y: 4, z: 5}. Give prob of sequence zy.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (sqrt(5) - 6*(1 + sqrt(5))) + -2*sqrt(50)\/sqrt(40).\nAnswer: -6*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.9452*-0.9102.\nAnswer: 4.50112104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002120 (base 3) in base 7?\nAnswer: -4311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 291723*y**2 + 76384*y**2 + 29199*y**2 - 51179*y**2 + 126732*y**2.\nAnswer: 472859*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-14))\/(((-222300)\/6370)\/(-90))?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9588007?\nAnswer: 11, 13, 67049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*i = -1, 6*i - i = -4*z + 38. What is the remainder when 13 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107672 is divided by 35278.\nAnswer: 1838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 73, 93, 109, 127, 153, 193, 253?\n\"Answer: t**3 - 11*t**2 + 56*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32368 and 341054.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 4 - 4)*(x - 1 + 1) - 3*x**2 + 0*x**2 + 5*x**2 + 19*x**2 - 5*x**2 + 0*x**2 + (0 - 2 + 0)*(-2*x**2 + 3*x**2 + 0*x**2).\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 1. Let d be r(-5). Let u(a) be the second derivative of a**4\/4 + a**3\/2 - 2*a**2 - 4*a. Is u(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 134.5 + -131.5. What is the closest to -1 in t, 37, 1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 13*k - 2. Suppose 2*o + 75 = s, s - 4*s = -o - 210. Calculate the remainder when s is divided by l(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 11305 (c) -167\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = 99 - 814. Differentiate 83*p**3 + m - 159*p**3 + 2*p**2 + 30 - 28 with respect to p.\nAnswer: -228*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:13 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*w - 4. Suppose 4*i + 3*a - a + 6 = 0, 0 = 3*i - 2*a + w. Let h be (i + 22)*24\/28. Calculate the highest common divisor of 198 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 13.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(60)\/sqrt(6)*-3 - sqrt(10)))\/(1*sqrt(160) + sqrt(160)*5).\nAnswer: -sqrt(3)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 11*u**2 + 4*u + 4. Suppose -4*l - 3*l - 14 = 0. Is a(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/24 - t**2. Let l(r) = 967*r - 1931*r + 943*r. Calculate k(l(m)).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12766 = 280*n + 15283 + 1351 for n.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365380287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4 - 1. Let b(w) = -w**3 - 4*w**2 - 2*w + 4. Let s = 24 - 23. Let v(p) = -p**3 + p. Let n(a) = s*b(a) - 2*v(a). Determine n(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1442 is divided by 225.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-28) - (-62)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1969 + -649. Suppose 4*y = -4, -3*b - 84 = 3*y - d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + t**3 + 0*t + (t - t - 2*t**3)*(0 - 1 + 0))*(-39 + 84 + 25).\nAnswer: 210*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 4*q - 7*q - 4*u, -2*u + 72 = -5*q for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179504 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15.2 times 29\nAnswer: -440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 47 = 4*j, -551*v + 546*v - 3*j = 64 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13188 is divided by 220?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67973*g + 81550 wrt g.\nAnswer: -67973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*o + 1796 = 0, 3*o + 2343 = -5*c + 82. Let f = -275 - c. Suppose 0 = x - 4*u - f, -5*x + 4*u + 1127 = 311. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 720011588 to the nearest integer?\nAnswer: 26833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20782234 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11064 + 110643\/10. Calculate the common denominator of a and 8\/4 - (-22)\/20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 3*t = 54, -3*s - t - 267 = t - 303 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 20*z - 4914 = -3*d, 4*z = 4*d - 6560. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 3*c + 4. Let m = -22 - 14. Let x be m\/(-21) - 2\/(-7). Let w be (-10)\/(-4)*4\/x. What is k(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138 - -154) + -2 + 0 + 1 + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxbxbbbbbb. Give prob of sequence bbx.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -m + 48. Suppose j + 4*u + 5 = 0, -m*u + 15 = -2*j + 4*j. Calculate the smallest common multiple of j and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 2*v + 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-564 - -564) + (3 - 2) + 0 + -73\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 3*s**2\/2 - 4*s - 2345. Let j(p) = -3*p + 3. Calculate -2*i(m) - 3*j(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7980590796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 168.\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (sqrt(405) - (-2 + sqrt(405)*-1)**2) - 6*(sqrt(405) + 2*sqrt(405))**2) + -3 - (2 + (sqrt(405) + -1)*-5)**2*-3.\nAnswer: -1854*sqrt(5) + 9058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 154 = 4*b - 134, 10*t + 22 = -3*b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -19505650900 rounded to the nearest one million?\nAnswer: -19506000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/207 + 388\/2691. Which is the closest to -1? (a) 0 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u**2 - 2. Suppose 3*a = 2*p + 8, -4*a - p - p + 6 = 0. Give h(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(3*sqrt(77) - sqrt(77)) + sqrt(77) + sqrt(77))*1*-3)\/(sqrt(175) + 1*(-2*sqrt(175) + sqrt(175)) - (2*sqrt(175) - sqrt(175))*2).\nAnswer: 9*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + o**3 - 2*o + 3*o**2 + 3*o**3 + 2*o**4 - 2*o**3 to d*o + t*o**4 + a*o**3 + x*o**2 + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25556623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + -2 - (-7 + 13 + -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.2 (b) 2 (c) -0.6 (d) -5512\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmgmggiig. What is prob of picking 1 i and 1 m?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 6*w + w + 16 + 0 = 1, -9*w = 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**3\/7 - 11136*r**2 - 1638381*r\/7 + 245190 = 0.\nAnswer: -22, 1, 26005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c3 (base 16) to base 2.\nAnswer: -10011000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 3*l - 1. Suppose -5*y - 127 + 52 = 0. Let w = -10 - y. Suppose w*g = -4*x - 35 + 3, -2*g = -4*x - 4. Determine i(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 13. Let n be d(-12). Let u = 2.7 - 3. Let k = -7 + 11. What is the closest to n in -5, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 14*k = -64, -646*k = -3*o - 647*k + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m + 155 + 4*m + m - 888.\nAnswer: 4*m - 733","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/108588 and -9\/5302714.\nAnswer: 31816284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 12985\/11 and 1179 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 17 = -5*i, -m = -3*i - 3*m - 9. Let f be (-9)\/(-39) - 1674\/(-351). Let p be 5\/(-1) - 0\/1. Put f, i, p in ascending order.\nAnswer: p, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - j - j)*(-21 - j + 21)*((9 + 8 - 11)*(-5 + 0 - 5) + 5 - 2 - 2).\nAnswer: 118*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - (7 - (-115)\/(-10)))*0. What is the closest to m in -0.0146, -0.1, -2\/5, 3\/8?\nAnswer: -0.0146","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + k + 0 - 1. Let f be v(1). Let d = f + 4. Solve 0 = 5*b - 8 - d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 6*z**2 - 7*z - 5. Let f be n(-5). Suppose 0 = -10*m + f*m + 130. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21159, -42343, -63525, -84705, -105883, -127059?\n\"Answer: x**2 - 21187*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from zducz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 41*d + 3. Let c(w) = 165*w + 13. What is -2*c(o) + 9*q(o)?\nAnswer: 39*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27850 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45a6c (base 16) in base 4?\nAnswer: 1011221230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 49713820 to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4 - 1 - 7*a - 1. Let f(n) = -3*n + 1. Let x(m) = -5*f(m) + 2*s(m). What is x(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1565 - 142 + 1036 - 100 + 933)*(-p**4 - 2*p**4 + 4*p**4).\nAnswer: 3292*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 905, 5, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 211.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13103907 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102 (base 3) to base 7.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 13501, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 + 15*k**4 - 58*k**3 + 84*k**2 - 40*k = 0.\nAnswer: 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 169482660 and 7136112?\nAnswer: 677930640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-9)\/o)\/o)**(-1\/23) assuming o is positive.\nAnswer: o**(11\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + 0.134. What is h rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccc. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70004638?\nAnswer: 2, 11, 3182029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 5*z**2 + 3*z + 7. List the prime factors of o(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121332 (base 4) to base 10.\nAnswer: -1662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/(-4)) - -25. Suppose 2*j - g = v - 0*j, 3*j = -v - 12. Let l be (-3 - -1*(-3 - -5))*v. What is the greatest common divisor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/48)*y**(-7\/4)\/y)\/(y\/((y*y**(-1\/2)*y)\/y))**(-1\/14) assuming y is positive.\nAnswer: y**(-583\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j - 4. Let w(v) = -v**3 - v**2 + 2*v + 3. Let z be w(-2). Suppose z*d = 11 + 16. Calculate the smallest common multiple of q(-21) and d.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 2 + (-1 + sqrt(128) - sqrt(128)).\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-6\/7)\/d)\/(d**2\/d))**(-42)\/(((d*(d**(-1\/9)*d)\/d)\/((d*d*d*d**(1\/2)\/d)\/d))\/((d\/d**(-8))\/(d\/d**3))) assuming d is positive.\nAnswer: d**(2369\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - c - 5, 3*c - 8 - 1 = b. Suppose -4*j = b*t - 62, 6*t - 11*t = -5*j - 45. Calculate the remainder when 55 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/16 of a centimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**4\/3 - 32*p**3\/9 + 26*p**2\/3 - 8*p - 730. Factor y(m).\nAnswer: 4*(m - 6)*(m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16360 + 16363. Suppose -3*p + 32 = 5. Suppose 2*h + 0*h - 4 = 0. Solve -4*f + h*a + 17 = 5, -x*f + 3*a = -p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:45 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 13 + (4 - 7) + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + -1. Suppose -97*f + 28 = -93*f. Calculate the remainder when h\/5*(-50)\/4 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 270*n - 280*n + 100. Calculate the remainder when 53 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + -20 + 31.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**9\/l)\/l**(-1\/3))**(-17)\/(l**(-1\/12)\/(l\/(l\/((l\/(l\/(l*l*l**(-2\/9))))\/l))))**(-2\/75) assuming l is positive.\nAnswer: l**(-191281\/1350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10391745 and 73151.\nAnswer: 4303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230210230 (base 4) to base 7.\nAnswer: 1360165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - s + 7. Suppose 0 = -3*a + 10 - 1. Let j be p(a). Calculate the highest common factor of j and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*f**2 - 29*f**2 - 7 + 54*f**2 in the form s*f**2 + y*f + c and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25106 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 + q**2 - 2*q - 1. Let n be x(-2). Let p be (-830)\/n*(-10)\/(-12)*3. Suppose s + 3 = p. Is 40 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1988 and 168.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (1 - 0)) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7675 - 2180 - 3154)*(-2*u**4 + 4*u**4 + 0*u**4 + (-2*u + 0 + 0)*(-2*u**3 + 2*u**3 + 2*u**3) + 0*u**4 - 2*u**4 + 0*u**4 + 4*u**4 - 6*u**4 + 3*u**4).\nAnswer: -7023*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1788*g**2 + g + 79*g**3 - 1790*g**2 + 38*g**3)*(10*g**2 + 147*g - 147*g).\nAnswer: 1170*g**5 - 20*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16048*x**2 + 4*x + 18718*x**2 + 5636*x**2 + 3227*x**2.\nAnswer: 43629*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 14*g**2 + 15*g + 20. Let t be y(15). Let m = 24 - t. Let s be 1\/m + (-1173)\/(-12). Calculate the greatest common factor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/10395)\/(953\/33383270759). Let v = p + 2\/1415205. Let m = 3377 + v. Find the common denominator of -31\/10 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6835.543mm in centimeters?\nAnswer: 683.5543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69903 = 2498*m + 5037 for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 90541.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsz when three letters picked without replacement from zsgz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 2*r**3 + 0*r**3)*(2*r - 6 + 5*r - 6*r + (-2 - 1 + 1)*(-r + 2*r + 0*r)).\nAnswer: 2*r**4 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1138 = 3*p + 5*b, p - 308 = -4*b + 69. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n*n**(-14))**(3\/13) assuming n is positive.\nAnswer: n**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((12\/(-14))\/(8\/70))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32\/7 + -30\/7. Let k = 3.38 - 1.38. Sort k, p, -1.\nAnswer: -1, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-17 - (46 + -85))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 198151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 448*f - 449*f = 5, 0 = 12*d - 3*f - 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -9*k + 15. Suppose -33*s - 12 = -29*s. Let h(x) = -4*x + 8. Let q(r) = s*v(r) + 5*h(r). What is the derivative of q(j) wrt j?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 7.26502136075?\nAnswer: -10.26502136075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/108*46\/(-69). What is the nearest to -0.4 in -4, t, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 9*o + 6. Let v(l) = -l + 1. Let a be -6 - (-2 + (1 - 2)). Let q(m) = a*v(m) + d(m). Let k be q(6). Solve k*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/((-1140)\/57)*(-1)\/(-8)?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -1)**2*-3 - (sqrt(242)*4)**2*3 - ((sqrt(242) - (sqrt(242) + 6*(-3 + sqrt(242)))) + (sqrt(242) - 6*(sqrt(242)*3 - sqrt(242))))**2.\nAnswer: -82607 + 6798*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - -10001110?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46857 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v + 1. Let p(m) = -2*m. What is -j(w) + 5*p(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285538 is divided by 131?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015633 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 788051729 to the nearest integer?\nAnswer: 28072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*s + 5*x, 110*x = 4*s + 105*x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 201*i + 146*i - 14)*(30 - 30 + 11*i**4)*(2 + 0 - 4).\nAnswer: 1210*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.175702 rounded to 2 decimal places?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74537*r**3 - 690*r**2 - 9*r + 2.\nAnswer: 447222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s. Let a = -1 + 2. Let d(l) = 2*l**3 - 5*l**2 - 6*l + 2. Give a*d(q) + 5*n(q).\nAnswer: 2*q**3 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -16*c - 3. Calculate the remainder when g(-3) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q - 30 = 0. Let g = 14109\/10 - 1415. Calculate the common denominator of q\/(-2) - (-67)\/(-2) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 2\/19, 494, -5, -1, 967?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 12568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 585\/5*1. Is 13 a factor of t - (154\/84 + 1\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**48 assuming w is positive.\nAnswer: w**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 35. Calculate the greatest common factor of 70 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/2)*k*k*k\/k**9*k*k)\/((k*k**(2\/17)*k)\/k)**(-13\/5) assuming k is positive.\nAnswer: k**(-441\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1193*w**3 + 11 + 1221*w**3 - 2*w**2 - 2403*w**3 as f*w**3 + a + p*w + n*w**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-115 + 346 + 402 + (-3 + 2 + 0)*(1 + 2 - 4) - 1 + 4 - 1)*(i - i - 5*i) + (-5 + 1 + 3)*(-2*i - i + 5*i) as r + n*i and give n.\nAnswer: -3182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - -11) + -4 + -2 + (-88 - 1).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -219358 * 95.\nAnswer: -20839010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 6*c**4 - 2*c**4)*(0 - c + 0) + (-3*c**4 + 6 - 6)*(c - 4*c - c).\nAnswer: 10*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n - 68*n + 4*y - 11 = 0, n = -2*y + 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + h. Let r(k) be the first derivative of 2*k**3\/3 + 5*k**2 - 2*k + 620. Calculate -3*n(w) + r(w).\nAnswer: -w**2 + 7*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4228?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -854*f + 885*f - 11*f**2 - 5*f**2 - 3*f**3 as k + c*f + r*f**2 + b*f**3 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-15)\/z)\/(z**(3\/4)\/z)*z**10*z**(1\/3) assuming z is positive.\nAnswer: z**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -34\/6463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 - 12\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**5\/11 + 417*j**4\/11 + 2151*j**3\/11 + 3539*j**2\/11 + 2268*j\/11 + 468\/11 = 0.\nAnswer: -78, -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvvvvdvdvvvvd. What is prob of sequence vdd?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3, -17, 8, -35 in descending order.\nAnswer: 8, -3, -14, -17, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4 + 4)*(-12*o + 7*o - 2*o) + (5*o**2 - 4*o**2 - 3*o**2)*(-2 + 3 - 3).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12891, -25788, -38685, -51582, -64479, -77376?\nAnswer: -90273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**4 - j**3 + j**2 - 1. Let i(n) = 326*n**4 - n**3 + n**2 - 202*n - 1. Let y(k) = 3*i(k) - 3*x(k). What is the second derivative of y(d) wrt d?\nAnswer: 11808*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(180) + sqrt(180) + 2)*-3 + 1)*-2 - (-1 + sqrt(180) + 5 + -2 + -4)) + 5)**2.\nAnswer: 2244*sqrt(5) + 22069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*q + 8665 + 38695 = 0 for q.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4570 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -6*g**2 + 0 - 1\/6*g**3 + 1\/12*g**5 + 0*g + 0*g**4. Find the first derivative of z(d) wrt d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(567))**2 + sqrt(567))*-4.\nAnswer: -2272 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + h + 2*h**3 + (0*h**2 + 0*h**2 - 6*h**2)*(0 + h + 0).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.041? (a) 0.6 (b) -4 (c) 0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**10*a*a**(-2\/23) assuming a is positive.\nAnswer: a**(251\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-6))\/5 - (-2)\/12. Is h greater than or equal to -3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3503742?\nAnswer: 2, 3, 11, 53087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1693344961 to the nearest integer?\nAnswer: 41150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-8) + ((-2)\/4 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385126232 to the power of 1\/2, to the nearest integer?\nAnswer: 19625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.9 + -6.9. Let y be -1 - (2\/3 + -1). What is the third smallest value in y, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 5:05 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21102.4 * 0.3.\nAnswer: 6330.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 625449066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3\/2, 44\/699, 5, -8?\nAnswer: 44\/699","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-33 - (28 - 59)) + (-36 + -2 - (2 + 1))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31089551.\nAnswer: 71, 437881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1010110100110001010010?\nAnswer: -1010110100110001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 192025, 384049, 576073, 768097, 960121?\n\"Answer: 192024*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/105)\/((-2)\/12). Sort -1.1, -2, u in increasing order.\nAnswer: -2, -1.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - 29 - (-1 - (0 - 8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttth when four letters picked without replacement from ttttthttttttt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*w + 7*w - 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300504 divided by -75126?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/60)\/(12*10\/(-100)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 4:20 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let s(v) = 32 - 16 - 23 - 52*v + 4. Calculate q(s(l)).\nAnswer: -104*l - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 4:50 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 + 10*f**3 + 7*f**3)*(-2 + 2 - 1) - 5*f**3 + 0*f**3 + 4*f**3 + (5 + f**3 - 5)*(-1 + 1 + 1).\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -13*i - 4. Give b(7).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:46 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeedmmepmyeey. What is prob of sequence yyp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 3*c**2 - 5*c**2)*((0 - 1 + 3)*(0 + 0 + 2*c**2) + 0*c**2 + c**2 - 2*c**2 + 5 - 5 + 3*c**2 - c**2 + 4*c**2 - c**2 + 781 - 220*c**2 - 781).\nAnswer: 212*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -103*l + 44*l. Which is the second smallest value? (a) l (b) 1 (c) 5\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006143247845 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1256*d**3 - 57*d**2 - 11*d + 13. Is u(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9087 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 6*d + 130. Suppose w = -3*w + 60. What is the highest common factor of d and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.001138 + 0.001138. Let n = 0.07 + -0.13. What is the biggest value in n, q, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 4*p. Solve -5*i - p = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3*y**4 + 18*c**3 + 13*c**2 + 668*y**4 with respect to y.\nAnswer: -12*c**3*y**3 + 2672*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 8*q**7\/21 - 2*q**6 - 268*q**5\/5 - 530*q**4\/3 - 224*q**3 - 110*q**2 + 6*q - 69. What is x in r(x) = 0?\nAnswer: -5, -1, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 13, 20, 25, 28, 29?\n\"Answer: -j**2 + 12*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.05, 20, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*f + 1255*f + 2342*f + 583*f.\nAnswer: 4226*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2121202 - 3?\nAnswer: 2121133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (188\/(-141))\/((-2)\/18*-2). Let c be (-4)\/(-10)*q\/((-48)\/20). Let j(y) = -5*y + 1. Determine j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2068, 7, -5, 8, 3 in increasing order.\nAnswer: -2068, -5, 3, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*w - 664*w - 1 - 338*w - 207*w.\nAnswer: -1102*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4 + -1*sqrt(1008) + sqrt(1008))**2 - -3*(0 + sqrt(1008))).\nAnswer: -36*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -109*l - 15040. Let y be j(-138). Solve -5*v = 6*p - 10*v - 25, -y*p + v + 9 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -453*o + 166*o + 13187 = 1707 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/3845 and -5\/11?\nAnswer: 42295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*d - 16, -5*d = s - 4*d - 2. Let m(y) = y**2 + 3*y + 2. Let k be m(s). Let v = 6 + k. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3049921 to the power of 1\/2, to the nearest integer?\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 12, w: 3, f: 2}. What is prob of sequence xx?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 20*a**3 - 4*a**2 + 13*a - 4. Let t(l) = 59*l**3 - 11*l**2 + 38*l - 11. Let u(i) = 11*p(i) - 4*t(i). What is the second derivative of u(w) wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**2 + 5 + a**3 + 3 - 2 + 4*a**4 - 1 - a to the form t*a**2 + g + u*a + z*a**3 + y*a**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 r when four letters picked without replacement from kkkkkrkkkkrrrkkkkk?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 2563789?\nAnswer: 2563789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2032 - -1931. Which is the second biggest value? (a) 1\/3 (b) -2\/13 (c) i (d) 0.1 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646716 is divided by 580?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -362 - -368. Let v(a) be the first derivative of h + 0*a + 0*a**2 - 5\/3*a**3 + 2\/5*a**5 + 0*a**4. What is the third derivative of v(q) wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, 5, 24 in ascending order.\nAnswer: -8, -3, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 + 97 = 2*t. Suppose 57 - 15 = 21*j. Suppose y - 27 = 3*h, 11*y = 7*y + j*h + 88. Calculate the remainder when t is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 207 = 4*z, 3*z - 7*j = -2*j + 169. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) - (-2320)\/64. Let t = 0 + -20. Let o = t + x. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybblylrxlxvyb. Give prob of sequence lbvr.\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyywwwyyyyy. What is prob of sequence yw?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15547 (base 11) to base 9\nAnswer: -33101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 - -27. Let x = 1 + -2. Let d be (-1)\/(2*(-1)\/4). Which is the nearest to q? (a) -3 (b) x (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(2093\/(-390) + (-18)\/60).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 <= -4895248.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/4 + (-75)\/(-20). Suppose 0*d - 4*d = -132. Suppose -2*y - d = -o*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 3*r = 325, -17*g - 4230*r = -4235*r + 843 - 208 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*j - 1\/3*j**2 + 1\/3 - 1\/6*j**3 = 0 for j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3 - 499987052*c**2 + 20*c + 1548911 wrt c?\nAnswer: 6*c - 999974104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a second in milliseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847) + (sqrt(847) + -1 + sqrt(847))**2 + -3 - (-4 + 0 + sqrt(847)) - ((sqrt(448) + 1)**2 + 5 + -5).\nAnswer: -60*sqrt(7) + 2941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 18*o**2 + 37*o + 27. What is the units digit of a(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 41. Suppose d*n + 421200 = 2*n. Round n to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9062 - 18149 + 2*h + 9069.\nAnswer: 2*h - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766.26mg to tonnes.\nAnswer: 0.00000076626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfdlhffllhddlfhhfjdf. Give prob of picking 2 d, 1 l, and 1 j.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -158721.7936 rounded to the nearest one thousand?\nAnswer: -159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*a**3 + 57*a**3 - 70*a**3 + 2*a to f*a + x*a**3 + c + o*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 5*y + 5*y)*(0 + 0 + 2)*(-449 - 10*y**3 + 449)*(-1 + 0 - 3).\nAnswer: -160*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 687*a + 32640 - 83094 - 34734 = 0 for a.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3) - ((-6 - -1) + 2). Suppose -5*s = -2*s + 4*o - 113647, -q*o - 113661 = -3*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-84056)\/54264 + 2\/(-17)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15797 divided by -15?\nAnswer: 15797\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**7\/140 - 3*o**6\/40 + 11*o**5\/40 - 3*o**4\/8 + o**2\/2 - 233*o - 26. Let g(h) be the second derivative of f(h). Factor g(a).\nAnswer: 3*a*(a - 3)*(a - 2)*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gugggguuuujgguguugg. What is prob of picking 1 j and 1 u?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 0*y**3 - y**3 + 2 + 3*y**2 + 6*y - 8*y. Let c be a(2). Let d be 0 - (0\/(-2) - 3). Solve d*j = 5*n - 10, -15 = -3*j - c*j + 2*n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30\/109 + -1777\/1308. What is the common denominator of 113\/12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/84*-4*(-3)\/12. Let m = -6593 - -6595. Sort m, y, -1\/5 in descending order.\nAnswer: m, y, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 11*o = -15. Let w = o - -7. Suppose -t + 334 = -0*f + 4*f, -3*f + 260 = -w*t. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2711, 5418, 8123, 10826, 13527?\nAnswer: 16226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 695441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-12\/5)\/j)\/(j\/(j\/(j\/(j*j*j**2)))))**(29\/3))**(6\/11) assuming j is positive.\nAnswer: j**(174\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/143, 5, 26, -2, 2\/13 in decreasing order.\nAnswer: 26, 5, 2\/13, -14\/143, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13121?\nAnswer: 13121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699642.\nAnswer: 2, 3, 47, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10868 - -10870. Let w = -3.07 + 0.07. Which is the smallest value? (a) -3\/11 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -72, 3, 4.4, 0.1, -4 in decreasing order.\nAnswer: 4.4, 3, 0.1, -1\/3, -4, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/108 and -139\/162.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3040 or -3022?\nAnswer: -3022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 233752 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 932297 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 571234.57 rounded to the nearest 1000?\nAnswer: 571000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49*(-10)\/(-5) - -2 is divided by 87?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h + 100 = 0. Let z = -12 - -15. Suppose -b - z*b = 0, -2*j + 14 = 2*b. Calculate the remainder when h is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c1d + -34?\nAnswer: -c53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198824 is divided by 39589.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and (102\/(-18) - -5)*-12.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15721366 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 12. Let v be a(3). Let u(s) = -s**3 - 10*s**2 - 11*s + 22. Let t = 27 - 13. What is the remainder when u(v) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71168 - 7*l**3 + 71168.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 7*i - 35. Let x be u(9). Let v = 82 - 50. What is the greatest common factor of x and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1936 divided by 1?\nAnswer: -1936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1344332, 1344463, 1344594, 1344725, 1344856?\nAnswer: 1344987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(700))*-6 + 0 + 4 + sqrt(700) - (3*((3 + sqrt(700))*6 + 2))**2.\nAnswer: -230420 - 21650*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**9)**(-3\/37)*(c\/((c**(1\/9)*c*c)\/c)*c)\/c**(2\/17) assuming c is positive.\nAnswer: c**(235\/5661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 571059?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/352 and -103\/2976.\nAnswer: 32736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 + o - 11. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 27*r**2 - 24 - 2*r + 3*r**3 + 119*r**2 - 4*r**3 to the form o*r**2 + w*r + f + u*r**3 and give o.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -572 + 5?\nAnswer: -56d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 3. Let b be w(5). What is the remainder when 67 is divided by 33 + (-9)\/(9\/b)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/2*(-1 + 1). Let r(i) be the first derivative of -11*i**2 - 704*i - 225. Let v be r(-32). Solve 5*q - 5*h + 20 = 0, f = h - v*h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-1 - (4 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 20*x - 3. Let y be 67\/(-7) + ((-690)\/(-105) - 6). Let s(a) = 2*a**2 + 41*a + 7. Determine y*v(z) - 4*s(z).\nAnswer: z**2 + 16*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 272959.56 rounded to the nearest 100?\nAnswer: 273000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*p + 64, 112 = 2*h - p + 102 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - s - 10. Solve -3*z - s*o = 0, 6*o = -2*z + 2*o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -35, -72, -123, -188?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 + 121*k - 121*k. Let c(i) = -2*i - 2*i + i. Determine c(d(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1220, 5204, 11858, 21182, 33176, 47840?\n\"Answer: 1335*i**2 - 21*i - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -2*n. Suppose n = 6*v - 5*v - 11. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -4, -2 in decreasing order.\nAnswer: -2, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.4796292 rounded to three decimal places?\nAnswer: -123.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kllvqv. Give prob of sequence kq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23127.5l in millilitres?\nAnswer: 23127500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1092\/2730*(-3)\/(-6). Let d = -0.06 - -0.36. Let z = 0.2 + d. What is the nearest to k in -5, z, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*n + 35*n - 50*n)*(3*n - 3*n - 2*n)*(n**3 - 4*n**2 + 4*n**2).\nAnswer: 200*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 5\/4 (c) -0.1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 4:57 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -162*j**2 + 111*j - 81. Let f(w) = 10*w**2 - 7*w + 5. Suppose 0*g + 165 = 5*g. Let q(x) = g*f(x) + 2*b(x). Determine m so that q(m) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505597 is divided by 400.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31834\/8 - 4\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = 0. Suppose 0*s + s - 2*i = -3, -2*s + 3*i - 4 = x. Sort -0.2, 2, s.\nAnswer: -0.2, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-76233)\/(-42) + 0)\/(-1). Let l = 1816 + n. Which is greater: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -12, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.7 (b) -3 (c) -5\/3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-6) + -2)*(-102)\/85. Which is the biggest value? (a) -0.3 (b) k (c) 4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4002162, 4002163, 4002164?\n\"Answer: k + 4002161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {g: 2, w: 1, t: 7}.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -354711587\/36 - -26847723517\/2772. Let z = 167773 + g. Let i = z + 9\/22. Which is the closest to i? (a) -5 (b) 0 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Suppose -6*z - 6 - 24 = 0. Let n be p(z). Solve r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/(-1419))\/(1\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*w + 1325 = -259*w. Calculate the highest common divisor of w and 35825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 592261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**7\/42 - 71*t**5\/10 + 59*t**4\/2 - 114*t. What is the third derivative of i(y) wrt y?\nAnswer: -60*y**2 - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - r**3 - r**3)*(-3*r**2 - 3*r**2 + 5*r**2) + 16*r**5 - 25*r**5 + 51*r**5 - 2*r**5 + 0*r**5 - r - r.\nAnswer: 42*r**5 - 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4 + 492*l**3 - 31680*l**2 + 172800*l = 0 for l.\nAnswer: 0, 6, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 18. Let h = -9 - f. Solve 0 = 7*x - h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8666*w - 5*w**3 + 8*w**3 - 8668*w + 2 + 11*w**3 - 2*w**2 in the form m + f*w + j*w**2 + p*w**3 and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -41*w**3 - 3*w**2 - 3*w + 3. Let c(m) = -16 + 6*m + 60071088*m**2 + 10*m - 60071072*m**2 + 206*m**3. Give 3*c(b) + 16*h(b).\nAnswer: -38*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 9*s**2 - 20*s + 10. Let v be -15*((-10)\/(-15))\/1. Is r(v) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/a**(-1\/3)))**(-1\/3))**(1\/3)*(a**6\/(a\/a**(-1\/2)))**1 assuming a is positive.\nAnswer: a**(239\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20009\/374 + 255\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 5) + 6 - (11 + -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/((-7)\/((-2394)\/(-12))). Suppose 2*v = 8*v - f. What are the prime factors of v?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -40. Let r = -13 + u. Suppose 2*y = -3*y + 25. Solve 0 = -4*b + q - 6 + 1, r = y*q - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -403. Suppose -3*y = -5*i + 356 + 293, -o = -3*i - 5*y. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5.8925573 days?\nAnswer: 0.8417939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 - 3*v + 7. Let i be r(4). Let g(q) = -2*q**3 - 7*q**2 - 8*q - 7. Does 6 divide g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u**4 - 21*u**3 + 27*u**2 = 0. Calculate u.\nAnswer: -9\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5305, 10204, 15103, 20002, 24901?\nAnswer: 29800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.7? (a) -0.09 (b) -5 (c) -0.07 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -432 + 1481. Let n(l) = -231*l - 1. Let h be n(-5). Let v = h + d. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/6*828\/966*-16.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 8*v**2 + 7*v. Let x be c(7). Let j be (-3*1\/6*x)\/(-1). Is 1\/355 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - -1.6. Suppose -3297*f = -3269*f + 28. What is the closest to f in -0.4, -23, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:25 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 611189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -56?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (189\/(-28) - -6)*(-36)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 8*q**2 + 6*q - 3. Let x be a(-7). Suppose 0 = -3*u - 3*n + 36, 0 = 5*u - u - x*n - 56. Solve 2*i = 5*c + u, c = i - 2*c - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44217?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*396544.\nAnswer: -19827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 76 (b) 1\/3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -9*q - 14. Let j(h) = -159239*h**2. Determine a(j(g)).\nAnswer: 1433151*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3592 + -3589. Let v = -9.17 + 0.17. Which is the nearest to f? (a) 0.4 (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*d + 658, -77*s = -3*d - 75*s + 990. Which is smaller: 327 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79742430 and 15948486.\nAnswer: 79742430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = j - 4, 8 = 2*j. Let i(q) be the third derivative of -q**6\/120 + q**5\/12 + q**4\/6 - q**3\/6 - 6*q**2. Is i(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3164 - -131064?\nAnswer: 124600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-1300) - -22*76\/(-208)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let g(i) = 6*i + 2*i + 22*i**2 + 24*i**2 - 47*i**2. Let t be g(8). What is r(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -29 + -69 + 133 + -12\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*g**5 + 6930*g?\nAnswer: -1580*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -81 (base 13) to base 9.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**5 - 65*f**4 + 251*f**2?\nAnswer: 180*f**2 - 1560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33776 + 33781. Factor -3\/5*g**4 + 3\/5*g**2 + 3\/5*g**3 + 0*g + 0 - 3\/5*g**z.\nAnswer: -3*g**2*(g - 1)*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*6\/(-9). Suppose -2*w + 3*y = 15, 22*w - 23*w = y - 5. Let v be -2 + (w - u\/2)*-34. Solve -k - 5*d = v, 2*k + 3*d = 2 - 11 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 16*j + 35. Let z be t(13). Let c = z - -27\/7. Is c less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-10))\/((-80)\/(-544400)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-6)\/42 - 90\/(-60))\/(-6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 12*i**4 - 1533*i**3 + 24348*i**2 - 100737*i - 26730 = 0.\nAnswer: -1\/4, 9, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/15*(-5)\/((-800)\/(-192))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 2\/105*m**5 - 4\/21*m**3 + 0*m + 0 + 5\/28*m**4 + 6*m**2. Find j such that q(j) = 0.\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c + 1\/840*c**7 + 1\/24*c**3 + 0*c**6 + 0*c**4 - c**2 - 1\/120*c**5 + 0. Factor p(d).\nAnswer: (d - 1)**2*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48138 or 47829?\nAnswer: 47829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246 = -153*u + 453 + 711. Let d(t) = -34*t**3 - 7. Let n(r) = -34*r**3 - 6. Determine u*d(x) - 7*n(x).\nAnswer: 34*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*1.2\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {f: 2, c: 17}.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 - 130. Calculate the common denominator of 56*2*(-1)\/(-44) and (g\/((-513)\/(-12)))\/((-19)\/228).\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, m: 4, j: 8}. Give prob of picking 2 m and 1 a.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 794517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 8:08 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4232437 (base 9) to base 8\nAnswer: -10510421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 0*h**3 + 23*h - 19\/2*h**2 + 1\/6*h**4 + 0. Let n(m) be the first derivative of q(m). Let w(z) = -3*z**2. Give w(n(p)).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v - 21. Calculate i(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3602 + 4723. Suppose -5*p + 4*p = 4. Is l\/21 - p\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 29 + 49 = 5*n, -3*n = -4*i - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(10\/9)*p)\/p**(2\/15)*((((p*p*((p**(3\/2)\/p)\/p)\/p*p*p*p)\/p)\/p)\/p)\/((p*p\/(p*p\/p**6*p*p))\/p) assuming p is positive.\nAnswer: p**(-47\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 1. Let m be z(-2). Let g(k) = -5 + m + 5*k. What is the tens digit of g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u - 10, 5*u = t - 34. Suppose 0 = -16*a - 89 + 409. What is the remainder when a is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 880.\nAnswer: -1\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 91 = -3*a - y, -5*y = -a + 5. Suppose -3*c - 7 = -o - 2, 5*o - a = 4*c. Find the second derivative of c*n**2 - 3*n + 8*n**2 - 3*n**2 wrt n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 46690?\nAnswer: 46690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 5 (c) 0.0593 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 14970816.\nAnswer: -14970754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -140abc?\nAnswer: -140ac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100110111010 (base 2) in base 15?\nAnswer: -3272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 7:43 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 4*r - 5*r**3)*((-19 - 48 + 2*r - 14)*(3 - 4 - 4) + (-3 - 2 + 2)*(-3*r + 2*r - r)) to the form f*r**3 + l + a*r**2 + i*r**4 + u*r and give f.\nAnswer: -2025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/63192 and 93\/800432.\nAnswer: 2401296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4948862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 440805 - 440805.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/120 and 79\/90.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + c**2 - c - 6. Determine n(5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/5)*(s*s\/((s*s\/(s*(s**(-2\/15)*s*s)\/s))\/s))\/s*s\/((s*s**6\/s)\/s)*s\/(s**5\/s))\/((s**(-1)*s)**(-38))**(2\/27) assuming s is positive.\nAnswer: s**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-28))\/((-92)\/(-161))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.297? (a) 0.4 (b) 1\/12 (c) 4 (d) 1 (e) -5 (f) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3313 rounded to two decimal places?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*l + 6. Let k(m) = 279 - m + 12*m - 280 + 56*m. Is k(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1221310 and 111\/70.\nAnswer: 8549170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1618 + 1615.6. Which is the closest to -2\/5? (a) -19 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -1)\/((3\/762)\/1). Let h = -167 - w. Is 89 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 - 2*c**2 + (-1 + 0 + 3)*(-2 + 2 + 2*c**2) + (-28 + 48 + 17)*(-c**2 + 5 - 5).\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15197350 + 28?\nAnswer: 15197378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*b + 128 = 132 + 300 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 - 3*l**4 + 2*l**4 + (4 - 3 + 29*l**2 - 31*l**2)*(4*l**2 - 7*l**2 - 3*l**2) to the form u*l**4 + y + f*l + g*l**2 + d*l**3 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-10)*(-11 + 10)*(-166)\/1743\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**7\/7 + c**4\/3 - 2*c. Find the third derivative of u(z) wrt z.\nAnswer: -360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1810736876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/13 + 2646*a**2\/13 + 102718*a\/13 + 7698 = 0. What is a?\nAnswer: -1283, -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, t: 1, s: 1, v: 1, r: 1, a: 2}. What is prob of picking 2 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z - 2. Suppose 0 = -3*v + 2*f + 49, v = -v + 4*f + 46. Suppose -12 = -4*m, 2*b + 0*m = 5*m - v. Give y(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 203155 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.9 + -60.1. Let t = 67 + j. Which is the smallest value? (a) -2\/5 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.01.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v. Let f(b) = -788437*b. Calculate c(f(s)).\nAnswer: 1576874*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -45630795 rounded to the nearest one hundred thousand?\nAnswer: -45600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -461 + 149. What is the first derivative of 59*p - 39*p**2 + y - 59*p wrt p?\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggzz when four letters picked without replacement from zgzzgzzzzzgz.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 40*k**2 - 4*k + 6. Let a(u) = -u**2 + u - 4. Give 4*a(w) + x(w).\nAnswer: 36*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 - 23 = 15*u. Let z = 17 - -19. Suppose 5*h = u*h + z. Calculate the remainder when 31 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579 divided by 193\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 928*n - 565*n - 9801 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1100300 (base 4) to base 7\nAnswer: -21032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 185639730*i + 5 + 185639713*i.\nAnswer: -17*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.7 (b) -5 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -81, -0.4 in decreasing order.\nAnswer: -0.4, -14, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.1156.\nAnswer: -0.4624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.955 + 0.045. Let c = 22.0038 - i. What is c rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2530 is divided by 2498.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1037)\/187 - (-6)\/11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*i + 100*i - 228 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5220 = 5*h. Let c = -263 + h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7834466um to nanometers.\nAnswer: 783.4466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*q + 40, -5*y + 28 = 4*q - 31. Let c = 7 - y. Let k(v) = -3*v + 1. Is k(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 217*m - 3987. Let w be t(21). Calculate the highest common factor of 4180 and w.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2169 + 4662612332.15?\nAnswer: 4662610163.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*c - 53 = 0, -16*h + 21*h - 3*c = 353. What is the remainder when 135 is divided by h?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssqxsstssqsqs. Give prob of sequence xs.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7696859 kilometers in centimeters?\nAnswer: 76968.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -304 in increasing order.\nAnswer: -304, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, -0.57, 0.5, -134, -2\/7?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36436757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxj when three letters picked without replacement from {n: 2, u: 1, x: 1, o: 1, j: 2, g: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2482, 2471, 2446, 2401, 2330, 2227, 2086?\n\"Answer: -a**3 - a**2 - a + 2485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*20\/(-400))\/(6\/4)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -14. Let b be 40\/6*(15 + 3). Suppose 3*v = 4*m - b, -5*v = -m - 2*m + 90. What is the greatest common divisor of m and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-30)*(11 - (-7869)\/6). Is 1058 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4758922 and 448462.\nAnswer: 4354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 12780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 66*h**2 - 288*h + 224.\nAnswer: -2*(h - 28)*(h - 4)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(182\/39) + (-2035)\/518\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 1. Let v(r) = 2*r + 7. Let n be v(-4). Suppose -5*k + s + 30 = 0, 5*k + 4 = -4*s + 34. What is the remainder when k is divided by w(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 36*c**2 - 1230*c - 19946. Calculate q(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**(-15\/8))**(-11) assuming v is positive.\nAnswer: v**(165\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmccmcccccccmcc. Give prob of picking 3 m.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1\/331395 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*(-6 - -6). Let y(c) = -2*c**2 - 3*c + 2. Let v be y(q). Solve -4*j + 4*l + 12 = 0, -l + 1 = -v*l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -6 - 0 - 10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(294)*4 - sqrt(294)) - (-1*sqrt(90))\/sqrt(5).\nAnswer: 64*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 346*i + 463. What is the hundreds digit of z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1912 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63777192.\nAnswer: 2, 3, 191, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqnnyqrrvnynq. Give prob of picking 1 v and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 9 + 2*n - 3)*(-3*n + 0*n - 4*n).\nAnswer: -14*n**2 + 56*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 2*b**2 + 8*b - b - 2. Let q be 3\/(18\/16) + 728\/2184. What is a(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/10)\/((-69)\/368)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149355204 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/(1740\/(-30))*-10*(-2)\/14\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:56 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36\/5 + -929\/120. What is the common denominator of -11\/40 and j?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -64, -95, -150, -235, -356, -519?\n\"Answer: -o**3 - 3*o**2 + 3*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*d - 633 + 1613 + 550 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01250879 to five dps.\nAnswer: 0.01251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -q + 4*q. Let n be -5 - q\/(-2 + 3). What are the prime factors of (-6)\/(-9) - 28\/n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 13*a + 10. Calculate the remainder when 38 is divided by u(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1718*d**2 + 6*d. Let x(j) = j**2 - 4*j + 3. Let p be x(5). Let t be q(p). Round t to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*l + 15, 7*l = -n + 4*l - 1. Let t = -240 + 243. Suppose -2*o + 0 + 8 = -x, -2*o + t*x + 8 = 0. Solve 3*u = -n - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-10))\/(4*3\/(-30))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 3*w + 1. Let y be h(5). Differentiate 3 + 1 - 2 - 4 - y*u wrt u.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and 1 - (-2 + 502\/144).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5484 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -14, -5, 8, 25?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000234143 to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*v**2 + 117 - 164 + 411*v - 111*v + 47)*(-v + 7*v - 2*v).\nAnswer: 100*v**3 + 1200*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448763277 is divided by 1292?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/7 in 85\/6, -1\/4, 166, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 15. Let c be y(-6). Suppose -c*q + 0*q - 2*o = -70, -20 = 5*o. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 115*i + 15)*(0 + 2 - 4).\nAnswer: -230*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241 + -179. Let u = o + -51.52. What is u rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/10)\/((-33)\/(-24)). Let z = -1624\/935 + s. Let a = z - -205\/136. What is the biggest value in -3, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 39, 87, 143, 201, 255, 299?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11946 + 8.28544.\nAnswer: -11937.71456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**4\/5 + 128*i**3 + 42846*i**2\/5 - 1354672*i\/5 + 1124192 = 0.\nAnswer: -172, 5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1138*s**2 + 54*s**2 + 1 - 215*s**2.\nAnswer: 977*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.5 in 259, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 2*u**2 - u - 2. Let t be o(-2). Solve -y + 1 = -t*j - j, 2*j + 8 = 5*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2*g - 2*g)*(-13*g - 341 + 341)*(4*g**2 - 3*g**2 - 3*g**2).\nAnswer: 26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 d when four letters picked without replacement from dbbddbd?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:24 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**4 + 12240*o**3 - 739025*o**2 - 1514790*o - 763520 = 0.\nAnswer: -1, 64, 2386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 5*q - 3. Let y(i) = -7*i**2 + 2*i + 4. Let x be y(3). Suppose 2*u + 21*j = 25*j - 122, -4*u - 3*j - 189 = 0. Let v = x - u. Calculate t(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4\/3845 - 6677\/2722260. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6009 is divided by 5466?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -300558898 divided by 2?\nAnswer: -150279449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((5 - 6) + 5) - (1 + 10)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -2\/9 (c) -1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, z: 3, t: 4}. Give prob of picking 1 t and 3 f.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 892932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3\/2 + 42593*z**2\/2 + 453945275*z\/2 + 8609591011\/2 = 0. What is z?\nAnswer: -21287, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 142. Calculate the smallest common multiple of j(0) and (-78638)\/(-4879) + (-4)\/(-34)*-1.\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304850 (base 12) in base 9?\nAnswer: 1370126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.83 + -0.53. Let l be 14\/8 - 3\/12. What is the smallest value in l, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/15 (b) -3\/2 (c) 42 (d) 1\/11 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-6)\/((sqrt(135)\/sqrt(5))\/sqrt(9) + sqrt(3) - sqrt(3)) + 5*2*(2 + sqrt(2)*1 + 2).\nAnswer: -26*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 140. Suppose -c = 5*i - 103. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1441*q - 32984 = 110*q + 13992 + 123634 for q.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (280\/(434\/(-31)))\/((-2)\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/4 - 1003\/(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -y - 3*v, 96 = 2*y + 7*v - 3*v. Let i = -27 + y. Calculate the remainder when (-36)\/90 + (-102)\/(-5) is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1331104?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 5*l**2 + 4*l - 8. Let k be j(-6). Suppose 2*y + k*g - 36 = 0, y + 51 = 6*y - 3*g. What is the lowest common multiple of 22 and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 5. Sort -8, r, -0.2 in decreasing order.\nAnswer: -0.2, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9666, 10013, 10590, 11397, 12434, 13701?\nAnswer: 15198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-461 - c + 461)*(0 - 4 + 2 + (2 - 1 + 2)*(1 - 2 + 2) + 2 - 1 + 4).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.3 + -12. Let i = -0.7 - z. Put i, -1\/8, -1 in increasing order.\nAnswer: i, -1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(85))\/sqrt(5))**2 + -1 + (-1*sqrt(17)*-1)**2*-1.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -556, -683, -894, -1189?\nAnswer: -1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4)\/((27\/(-222))\/(-9)). Let d = 327 + y. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23535\/(-26673)*(-884)\/10.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16.7 and 36695741840?\nAnswer: 36695741823.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 0*c**2 + 0*c**2)*(3*c - 43 + 45 + 15*c).\nAnswer: -18*c**5 - 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 - (75 + (-124 - 51))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/80 + 100*m**4 + 320000*m**3 + 103*m**2 - m - 19. Let a(w) = 0. Calculate w.\nAnswer: -1600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-1*5 - (-5 + sqrt(176) + 1)) + sqrt(176) + -2 + 2 + -4)**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29533 and 539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 2*s - 2*s)*(-2 + 2 - s**3 + 0*s**3 - 3*s**3 + 5*s**3 + (-3*s + 2*s + 3*s)*(-2*s**2 + 2*s - 2*s)).\nAnswer: 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 1, i: 9, z: 8}. What is prob of picking 3 z and 1 i?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 o, and 1 g when three letters picked without replacement from {g: 1, c: 3, r: 1, m: 4, i: 2, o: 4}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -4) + -8 - (5 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-3)\/j)))\/j*j)\/j**0*(j**(1\/2))**(-33)*(j**(-8)\/((j\/j**4)\/j))**(-45) assuming j is positive.\nAnswer: j**(319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**8\/11200 + l**7\/1400 - l**5\/50 + l**4\/6 + 4*l**2. Let h(u) be the second derivative of k(u). Factor h(i).\nAnswer: -3*(i - 2)**2*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**2\/4 - 2175*v\/2 + 73083\/4 = 0.\nAnswer: 17, 1433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 - -66744?\nAnswer: 66721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -6. Suppose -j = -2*g - 1. Find the second derivative of -y**g - y**5 + 0*y**5 + y wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7261 and -1.\nAnswer: -0.7261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/5 - 8378*s**4\/5 + 160286*s**3 + 1661546*s**2\/5 - 490920*s = 0. What is s?\nAnswer: -3, 0, 1, 100, 4091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + 5 - 4485\/468 and 71\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -3*v + 3*o + 26, 0 = v + 4*o + 12. Is (v - 0)\/(10\/(-495)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2236 - 1649. What is the remainder when d is divided by 84?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.71 (b) 0.1 (c) 7407\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let d(i) = -3*i**2 - a*i + 2*i - i**3 - 2*i**2 + 0*i**3. Suppose -2*x - 5*k = 2*x + 30, 2*x + 4 = 3*k. Determine d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 + f**5\/60 - 7*f**3\/6 + 61*f**2. Determine p(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 4. Let s(g) = g**2 + 4*g + 5. Suppose -u = 5*q - 4*u + 3, -3*u + 3 = q. Let w be s(q). Give z(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/30*(21 - 1). Let k(a) = -a**2 - 9*a - 8. Let z be k(p). Suppose 0*v - v + 12 = d, z = 4*d - v - 33. Solve 5*u = -11 - d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o**2 - 67 - 740 - 82 + 52 - 4*o**2 as u*o + n*o**2 + y and give y.\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w - 70. Let k be d(10). Suppose -k = 9*p + p. Which is the nearest to 0.2? (a) p (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -120 and 133.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + 75 - (-1 + 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*t + 126 - 96, 6*w + 30 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and -117\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/20 - (-175)\/35)\/(4\/(-350)). Which is bigger: c or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:57 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 6*m**2 + 27*m + 4. Let d be k(-9). Suppose 0 = -5*j - 2*u + 29, d*j - 16 = 6*u - 4*u. Solve -j*y - 2 = 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4869, -7\/5, -0.4, -7, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/15)\/((-18)\/(-8640)*-12*18)*6.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 6. Suppose 2*y + 8 + 30 = 4*j, j - 4*y = 6. Suppose -4*q + j = -2*q. What is the remainder when q is divided by c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -608 - -1737. List the prime factors of z.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2. Let p(g) = 97 - 209 + 95 + 4*g**2. Determine p(z(w)).\nAnswer: 16*w**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 18*p - 6. Let f(h) = -47*h. Determine f(u(j)).\nAnswer: -846*j + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by 79.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.78 rounded to 0 dps?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13304, -26595, -39878, -53153, -66420, -79679?\n\"Answer: 4*k**2 - 13303*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o**2 + 3*o + 10*o**2 - 2*o + (0 + 0 - 2*o)*(1488*o + 36*o + 225*o + (4*o + o - 3*o)*(-1 + 0 + 0)) to the form z + y*o + n*o**2 and give n.\nAnswer: -3491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/2, -3, -1, -2\/3, 158 in descending order.\nAnswer: 158, 1, -1\/2, -2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, z: 1, q: 2}. Give prob of picking 1 q and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 568 and -5*13656\/(-48) + 10\/(-4).\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from ddddddddndedd.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 5, i: 5}. Give prob of sequence aa.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -14)*144\/54?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 30*p**2 + 45*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 9*p = 6*p + 21506. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14059535 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*t - 47*t + 57 + 62 + 247*t**2 - 11 - 40*t wrt t.\nAnswer: 494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209904 - -331566370?\nAnswer: 331776274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*t = 74*t + 476. Calculate the remainder when 52 is divided by t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/19))**(-20\/3))**(2\/15) assuming f is positive.\nAnswer: f**(-8\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12. Suppose -p + 5 + 7 = o. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + o - 391. Let l be j(19). Let f = -693 + l. Let v(y) = 5*y. Calculate the least common multiple of f and v(3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 106 = 3*g - 5*b, g + b = 100. Let m = 154 - g. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 minutes before 11:28 PM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 41*w = 172 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 8275*w**2 - 8220*w**2 + 0*w + 3*w - 2*w + 0*w.\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/504 and 131\/1079010?\nAnswer: 30212280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 + -189.51. Let r = 0.71 + b. What is the smallest value in r, -15, 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 15 = -3*a + 5*i, -5*a + 310*i = 308*i - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4746 and 2730?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 395760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71\/((-497)\/(-12)))\/((-4)\/(-28)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:40 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3417, 6749, 10083, 13419, 16757, 20097, 23439?\nAnswer: 26783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67114404?\nAnswer: 2, 3, 7, 229, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15464 - 15471 - (-73)\/1?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90*-0.3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -44*t + 4132. Calculate r(88).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2295430 take away -4?\nAnswer: 2295434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 1\/5, -5, -2\/13, 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -3)\/(4 + -2). Let n = 1 + a. Let k = n + 2. Solve k*u - 8 = -j, -3*j + 3 = 2*u - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296, -497, -712, -947, -1208, -1501, -1832?\n\"Answer: -f**3 - f**2 - 191*f - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - 1336034?\nAnswer: -1336025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2 + 18922*w + 59573752 = 0.\nAnswer: -2492, 11953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1748305 - -1748302.5800166. Let q = l - -2.42. What is q rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**4\/6 + y**3\/2 + y**2 + 33*y. Let f be ((-4)\/(-6))\/((-2)\/(-9)). Determine n(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e38c (base 15) to base 9\nAnswer: -72826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148774*-9.1.\nAnswer: -1353843.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4156, 4155, 4154, 4153, 4152, 4151?\nAnswer: 4150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -9. Let i be ((-2)\/1 - y)\/(-1). Let o = -113 - -168. Calculate the highest common divisor of o and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of ((-183222)\/45)\/(-27)*240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 8. Let q = f + 8. Solve 0 = -4*h - 2*a - 3*a + 5, q*a = 3*h - 24 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 228*m + 85*m - 40*m in the form s*m + a*m**2 + d and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 4, -3, -453, -1 in descending order.\nAnswer: 4, 1, -1, -3, -8, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1720*i + 2. Let z(b) = -6885*b + 7. What is 11*y(m) - 3*z(m)?\nAnswer: 1735*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 210\/(-35)*(-1)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g**(1\/4)\/g)))\/(g\/g**(-1\/10)*g))\/(((g**(2\/7)\/g)\/g)\/g*g**(1\/4))*g**1*g\/g**(1\/3)*(g\/g**1)**37 assuming g is positive.\nAnswer: g**(269\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36790111 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -20. Find the first derivative of -7*y**3 + y**3 - i + 3*y**3 + 5*y**3 wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*a - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + (-64)\/(-24))*(-3)\/3059. Do 1 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1645, -1639, -1637, -1639, -1645, -1655, -1669?\n\"Answer: -2*i**2 + 12*i - 1655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 167, 554, 1303, 2534, 4367, 6922, 10319?\n\"Answer: 20*s**3 + s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 21*b - 186. Let i be h(19). Suppose i*s = 218*s - 2030. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2662779*x + x**2 + 0*x**2 - 2661194*x to l*x**2 + i*x + b and give i.\nAnswer: 1585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1169 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 8:15 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 8*l - 6 + 2*l**2 - 2*l**2 - 2*l**2. Let u be y(-6). Suppose -3*i + 9 = -u. Solve x + i = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -283*r + 35. Let o be z(-15). Round o to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 + (8 - (-1134)\/(-35)). Let g be (n\/8 + (-26)\/(-4))*2. What is the highest common factor of g and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(6\/(-60)). Solve -f*l = -0 - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(5 - -1 - 65088\/10845) is divided by 151.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 385842 or 665?\nAnswer: 385842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/93073 (b) -2\/5 (c) -4 (d) -1\/3 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*y = 96*y + 27*y + 30*y - 14160 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -26. Let b = 114 - 81. Let c be v\/b - (-2)\/(-2). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437 plus -5?\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose 7*p + 61 - 47 = 0. What is the closest to z in p, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1426, 1, -4\/19, -2 in increasing order.\nAnswer: -1426, -2, -4\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 15)*12\/36. Suppose -3*z - f*u + 763 = z, 362 = 2*z - 4*u. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271362 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 5*s - 1517 + 6633, -20539 = -4*u + 5*s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*d - 148876 = -57658. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111102 (base 3) in base 5?\nAnswer: -40144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/10)\/y*y*y**(-1)*(y**(1\/4))**(-2\/57) assuming y is positive.\nAnswer: y**(-316\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from yyyyyyypzsszysyzsy.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26542*d**4 + 2*d**2 + 12447 wrt d.\nAnswer: 106168*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 376, 565, 754, 943, 1132?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51 + 99393?\nAnswer: 99434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8 + 4 - 3 + 13*i + 22. Is 16 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 100788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 10*n**2 + 13*n + 10. Determine h(-9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 7, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6646316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*j + 654*j + 912*j - 276*j in the form w + k*j and give k.\nAnswer: 1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19501443, 39002885, 58504327, 78005769, 97507211?\n\"Answer: 19501442*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*a = -961*a - 92 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9141 + 0.54614. Let n = w - -0.37. Round n to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o = -4*i + 15*o - 8, -3*i - 2*o - 3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2 - 2)*(-4*c**2 + 4*c**2 + c**2) - 6 + 6 - 2*c**3 + (-2 - 1 + 0)*(-c**3 + 0*c + 0*c) + 3*c**3 - 1 + 1.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*l = -25, -4 = 2*k + l + 7. Let h = -12 + 7. Let p = 1 + h. Is k > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2 - i**4 - 15*i**2 + i**3 + 25*i**2.\nAnswer: -i**3*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-28))\/(9\/189). Calculate the highest common factor of v and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8529888406 to the nearest integer?\nAnswer: 92357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 19*x - 4. Let b = 76 + -58. What is the remainder when 39 is divided by m(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-28)\/6)\/(12\/54))\/(((-7200)\/80)\/450)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00156834028 rounded to five dps?\nAnswer: -0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(540) - (sqrt(540) + -1*sqrt(540)))*6)\/(sqrt(588)*-2))\/((sqrt(630)\/sqrt(160))\/(2*sqrt(7)*-5)).\nAnswer: 120*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*c - 9*c - 15*c. Suppose -19*g + 9*g + 30 = c. Solve 0 = g*a - 2*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*l + 496*l + 28*l + 259*l - 31*l.\nAnswer: 974*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2320746214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n + 4*g + 8, 3*n - 3*g = 12. Let u(o) be the second derivative of -o**4\/24 - 6*o**2 - 2*o. Let z(c) be the first derivative of u(c). What is z(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181d (base 14) to base 13.\nAnswer: 1c8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3262784994.\nAnswer: 2, 3, 7, 19, 397, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*a**3 + 12879*a**2 + 136845*a wrt a?\nAnswer: -30*a + 25758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31344 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = -3*b. Let y = -143 + 149. What is the smallest common multiple of y and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633445?\nAnswer: 5, 151, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -392 and -2?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603098.\nAnswer: 2, 19, 59, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220468\/1221 - 1986\/11. Let u be 3\/(-27) - (-308)\/666. Let n = u - r. Which is the biggest value? (a) -0.6 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 2*w + 2 = 0. Let p = 5 - w. What is the remainder when 8\/(-16)*18\/(-1) is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 452?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**3\/2 - 3*t**2 + 33*t + 1. What is the units digit of p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 5:55 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -61*j - 9. Is h(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, u: 3}. What is prob of sequence tuut?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678818492 to the nearest integer?\nAnswer: 879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7112351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2101*l - 7471*l - 872*l - 821988 = -296*l for l.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 29 = -3*b, -2*f + 2*b + 26 = f. Calculate the highest common factor of 12 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 66*f**2 + 10*f + 50. Let v be j(-3). Let l(k) = v + 2*k + 0*k + 7*k - 616. Let c(p) = p. Give 6*c(u) - l(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 20. Let m be (-3 + (-2)\/6)*-6. Let k be f(m). Solve k = 5*q + 4*i - 7 + 42, 5*q - 2*i = -5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, z: 11, o: 1}. What is prob of sequence ozzz?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 356729410 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 9*l**2 + 3*l + 6. Let t be q(-6). Suppose 0 = 6*g + 42 - t. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -9526\nAnswer: -1\/866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81203 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 30*r + 5*j = -999, 0 = 3*r + j - 3029. Is 35 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 16, n + 5*k - 6 = 4*k. Solve -v - 3*h + 10 = 0, n*v - 2 - 2 = 2*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 561013 to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*b**2 - 9*b**2 + 20*b**2)*((-2*b + 5*b - b)*(-3*b + 7*b - 2*b) - 5 + b**2 + 5) to m*b**2 + i*b**3 + y + z*b + l*b**4 and give l.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 6 - 6 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 2. Let j be z(-2). Suppose -365 - 363 = -5*f - 2*y, 16 = j*y. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 divided by -98?\nAnswer: 299\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -417*r**3 + 3*r. Let k(p) = -418*p**3 + 2*p**2 + 4*p - 1. Let c(v) = -2*k(v) + 3*q(v). What is the hundreds digit of c(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1\/4 (c) -0.1 (d) 1 (e) 0 (f) -2\/17 (g) -22837\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1452456 and 363114?\nAnswer: 1452456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**3 - 206*x - 6*x**3 + 48*x**2 + 3*x**3 + 4*x**3 - 5*x**3 wrt x.\nAnswer: -12*x + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98904656*f - 104673883 wrt f.\nAnswer: -98904656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463614?\nAnswer: 2, 731807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 11:42 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 + 5*d - 3. Suppose -5*x + 8*c - 6*c + 328 = 0, c = 3*x - 196. Suppose -13*v = -103 + x. Give j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.78 + -1.9. Let c = -0.62 - f. Suppose -2*w = 3*b - 4, 0*b - 14 = -2*w + 2*b. Put w, 2\/5, c in decreasing order.\nAnswer: w, 2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3\/646, -1, 800 in increasing order.\nAnswer: -1, -0.4, 3\/646, 800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(228)*3)\/sqrt(12) + (-3*sqrt(57))\/sqrt(3)*-3)**2 + -4.\nAnswer: -72*sqrt(19) + 2741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 812 divided by -1.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -15, -6, 0.3, 3, -2\/11, 24?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - n + 2 = -7, -2*l + 2*n + 2 = 0. Suppose 0*f + l = f. Suppose 3*x + 63 = 4*g + 2*x, -34 = -f*g - 2*x. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**6\/120 + 2*w**5\/15 - 7*w**4\/24 + w**3 - w**2. Does 15 divide z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5012367006 to the nearest integer?\nAnswer: 70798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -4*x, -138 = 3*r + 4*x - 128 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 0.3, 5.1, 0.01, 1\/2, 34?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -36900.5 to the nearest one hundred.\nAnswer: -36900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6*6\/(-36))\/((-2)\/(-6)). Let u be 74\/8*8\/v*15. Let l = 584 - u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 15 = 20*s + 21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -30628 divided by 806\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 578*c**4 - 2 + 41*c**2 - 2*c**5 - 58*c**4 + 395*c**4 wrt c?\nAnswer: -120*c**2 + 21960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hzhhoozrhzrhz. Give prob of sequence zh.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 239528*l**2 + 22*l + 32. Let r be c(8). Round r to the nearest 100000.\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-8) - (19 + -2))\/(14\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277021 is divided by 228?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 74. Let g = -3 + 7. Suppose k - 8 = 22. Solve c = 4*z - d, k = g*c - 0*c + 2*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7733820 to the power of 1\/2, to the nearest integer?\nAnswer: 2781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21\/4 - -5. Let k = -13 + 13.3. Sort o, 1, k in descending order.\nAnswer: 1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -2, 3, 5, 545, 29 in decreasing order.\nAnswer: 545, 35, 29, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2866.12209 rounded to the nearest 10?\nAnswer: -2870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 11:09 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4\/3 (c) -0.285 (d) -2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -410, -290, -156, -8?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1200 - -1187)*102\/(-26)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9878?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/31)*u)\/u**(6\/5)*(u**(-1\/4))**(2\/11) assuming u is positive.\nAnswer: u**(-617\/3410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 2. Suppose -b - 61 = -5*r + 3*b, -n*r - 4*b = -2. Suppose -4*m = -r*m + 100. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10057 (b) 4 (c) -1\/4 (d) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 24 = 16*g. Let d = 4149\/61 - 68. Is g bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1339065 by -1.\nAnswer: 1339065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5033)\/35)\/(14\/218). Let r = j + 2239. Let x = -4\/385 + r. Which is the second biggest value? (a) x (b) 1\/2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-95 - ((-11 - -24) + -23)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9662.334l in millilitres?\nAnswer: 9662334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158300 and 52239?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 389 and 173.5.\nAnswer: 562.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 4) to base 2.\nAnswer: -1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12501.\nAnswer: 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -2) + 1\/1. Let k = -74 + 75. Is i at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0.5, 2\/2635, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 134 - (290 + -24) - -40?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 14 (b) -2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:10 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2059434 (base 10) to base 15\nAnswer: -2aa309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3888*c**5 - 216*c**4 - 3885*c**3 + 216*c**2 - 3*c = 0.\nAnswer: -1, 0, 1\/36, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 - 68. Let q = u + -42. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 434, 643, 852, 1061, 1270?\nAnswer: 1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -344 divided by -686797?\nAnswer: 344\/686797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -53 and -479?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q - 40*q = u - 20, 2*q + 8 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 19 = 3. Let o = z + 7. Solve o*q - 2*q + 4 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:10 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -49 - (3 + -102 + 90)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1781088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187128053?\nAnswer: 7, 61, 101, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 306 - 157. Let y = f - 145. Which is the second biggest value? (a) 2 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -1463602?\nAnswer: 1463600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/((-2)\/8). Suppose -4*u + t = -3, t = p + 3. Let x(y) = -3*y + 3*y + 3*y**2 - 2*y**u. Let n(f) = -5*f. What is x(n(q))?\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 0, 140 in decreasing order.\nAnswer: 140, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**5\/3 - 17*o**4\/12 - 2*o**3\/3 + 49. Factor t(c).\nAnswer: -c**2*(c + 3)*(5*c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-49))\/(-2)*(-43)\/(129\/(-4)).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 + 3*y - 1. What is v(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2544099.\nAnswer: 3, 23, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/52 - 3358\/(-26). Let d = -128 + j. Let i be 176 - ((-3)\/d - -3). Calculate the highest common factor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i + 4. Calculate the lowest common multiple of 10 and t(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d*d**(-3))\/d))\/d**5)**(2\/13))**16 assuming d is positive.\nAnswer: d**(-64\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 146 + 54. What is the highest common divisor of 2231 and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -255*a**7 + 11*a**3\/3 - 19*a + 4540. What is the third derivative of t(q) wrt q?\nAnswer: -214200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 9. Let s(r) = 2*r - 12. Let j be s(p). What is the tens digit of (-33)\/2*j\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -74 (b) -2\/11 (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-112)\/12)\/(-4) - 4\/(-6). Solve 0*h + a = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/12837 and -95\/7002?\nAnswer: 77022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 + -0.37. Round q to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/2*(-11)\/(-143).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*i - 8 + 1, 2*s - 3*i - 22 = 0. Let k be ((-2)\/(-8))\/((-3)\/4). Which is the nearest to k? (a) 1 (b) -1\/8 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 9*g**2 + g - 11. Let f = 26 + -17. Determine o(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -659\/20 + 33. Let u(k) be the third derivative of 0*k**4 - 3*k**2 + 0 - m*k**5 + 1\/3*k**3 + 0*k. Differentiate u(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1329940566?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.4 in -35.7, -99, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 626 + -630.196. What is t rounded to one dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165307577 + -0.027?\nAnswer: 3165307576.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33921333 is divided by 255?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v + 15*v - 33*v - 4*a = -404, -4*v + 5*v - 418*a + 423*a = 43 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1169*c + 1168*c - 3505*c + 1167*c. Let v(x) = -21 - 9*x + 11*x**2 + 21 + 5*x. What is m(v(q))?\nAnswer: -11*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3427 - 49*j + 3427 + 0 + j + 0 - 2*j + 3 - 3 + (2*j + 4*j - 4*j)*(2 - 3 + 3) - 2*j - 2 + 2 as m*j + i and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.133 - -2.533. Sort 3\/4, -4, 0.1, g in decreasing order.\nAnswer: 3\/4, 0.1, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 64\/7 or 8?\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 39*v = 820. Let o(q) = v*q + 45*q - 36*q. Calculate o(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 - 7*z**2 + 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 3:26 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114.35 and -6?\nAnswer: 686.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(190)\/sqrt(5))\/sqrt(2))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 6:48 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000014494 rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1540296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3432 less than or equal to -3431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:14 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -d2d?\nAnswer: d38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -178.9027 + -1.0973. What is the closest to 0.1 in s, -2\/9, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -4*d + 0*d**3 - 1\/16*d**4 + 0*d**2 + 0. Factor b(l).\nAnswer: -3*l**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9801, 9816, 9845, 9894, 9969?\nAnswer: 10076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1732482 divided by 3\nAnswer: -577494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17184*52.8\nAnswer: 907315.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -105716802?\nAnswer: -2\/52858401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 + 38*x**3 + 16 - 16.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(2*-2*sqrt(49)*-2)\/((-1*sqrt(448) + sqrt(448) - sqrt(448)) + sqrt(7) - (-2*sqrt(1008) - sqrt(7))) + 2.\nAnswer: -4*sqrt(7)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, 0.2, -4, -3, -897, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4396322*a + 4396422*a - 2155 + 855 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -12*n**2 + 39*n - 9. Let v(z) = -5*z**2 + z - 5. Let r(k) = -4*k**2 + k - 4. Let x(p) = -6*r(p) + 5*v(p). Let h(y) = -u(y) - 3*x(y). Factor h(b).\nAnswer: 3*(b - 2)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1188423 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 7*z - 8. Let b be n(-8). Suppose b = 5*x - 2*x. Sort -5, 1, x in ascending order.\nAnswer: -5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -6, 1\/5, 1537, -5, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 607 - 603. Solve -s = 2*q + 8, -2*q = -7*q - j*s - 17 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 4. Let u be r(6). Suppose 5*h + z = 18, -z - 9 = u*h - 6*z. Solve 5*b + 20 = 5*f, h*b = 5*b - 5*f + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1497)\/(-12) + 3\/12. Let r = -85 + j. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*r**2 - 2*r**2 - 2 + 1141*r**3 + 473*r**3 - 167*r**3 - 20*r**2 wrt r?\nAnswer: 8682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 48, 239, 558, 1005, 1580, 2283, 3114?\n\"Answer: 64*i**2 - i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1205.1668601 rounded to the nearest 10?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*j + f - 89, 0 = -2*j + 4*f + 160. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(110)\/sqrt(80))\/((sqrt(24) - sqrt(600))\/sqrt(12)).\nAnswer: -2 - sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**2 + 19*x - 17*x - 2*x.\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:01 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = 132. Suppose 0 = -3*g - 2*s - t, 3*s - 5*s - 6 = 0. Let a = 1 - g. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153\/230 - -3\/46. Let q = 2 - 1.6. What is the third biggest value in q, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/4 + 31477*r\/4 - 25192405 = 0.\nAnswer: 3617, 27860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 217 = -3*y, 0 = 129*q - 253*q + 129*q - y - 35 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 12*g + 15 = 0. Let q be 7*g\/30*(-4)\/35. Let d = 74\/3 - 24. Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 3:10 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4347.20056 + -4348.9. Let a = 1.7 + y. What is a rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*t = 192. Let i = -29 - t. Suppose -4*a = -f - 13, -12 = i*f - 5*a + 6. Let q(k) = -2*k**3 - k**2. Determine q(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11551037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -30, -82, -166, -288, -454, -670?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/3 - 28*f**3\/3 - 656*f**2\/3 - 3392*f\/3 - 1792 = 0. Calculate f.\nAnswer: -6, -4, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -11*w + 279. Let l be g(14). What are the prime factors of (12\/7)\/(l\/(-175))*-505?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 6 + -3 + -1 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11043 is divided by 215?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20709 is divided by 1592.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + (-9 - (0 - 4)) + -9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6722 + 5?\nAnswer: 6727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60253?\nAnswer: 89, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(8))\/sqrt(4) + 1)**2 + sqrt(6)\/(2*(sqrt(3) - (sqrt(3) + sqrt(3) + sqrt(48)))).\nAnswer: -21*sqrt(2)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 308897790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -529468.813 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 37*u. Let v(k) be the third derivative of k**6\/360 + 85*k**3\/6 - 18*k**2 + 3. Let m(r) be the first derivative of v(r). Determine b(m(s)).\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5473240.7 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*x - 3*c - 52, 4*c = -4*x + 168. Suppose 4*i - 249 = -69. Is x > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59.31 + 0.69. Let n = d + -86. Are -1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 s when four letters picked without replacement from tsstssts.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263219 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*d = -8, 10*q + 3*d = 8*q + 7. Suppose -4*t + 48 = 2*g + 2*g, -t + 14 = -g. Suppose 0 = -q*j - 2 + t. Solve -c + 4 = -j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/753 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**2 + w - w + (2*w + w - 4*w)*(-3*w + 3*w - w) + (0 + 0 - 2*w)*(w + 3 - 3) - 3*w + 3*w - 6*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8.4? (a) -1\/5 (b) 17\/6 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*k - 0*k + 25, 2*k - 1 = 5*o. Let x be 12*((-4)\/k - (-30)\/(-36)). Sort 5, 1, x in ascending order.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -38*b - 3 - 73 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 318, 648, 978, 1308?\n\"Answer: 330*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 - 3*x**5 + 29*x**2 - 28*x**2 wrt x?\nAnswer: -240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - ((-3 - -5) + -27 + 33).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -704, -2861, -6462, -11513, -18020?\n\"Answer: -o**3 - 716*o**2 - 2*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -28.04. Let d = 0.4 - 0.24. Let y = g + d. What is the nearest to 3 in 0.5, -0.5, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 46*b + 157. Determine k(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46723437 (base 8) to base 5.\nAnswer: -10102411423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 1. Let f(s) = -15*s**2 + 25*s - 11. Let h(z) = 15*b(z) + 5*f(z). Factor h(y).\nAnswer: -5*(3*y - 2)*(5*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 - 638*f**2 - 1063*f - 1743. Give c(-211).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 - 305*k**3 - 315*k**2 + 305*k + 310 = 0. What is k?\nAnswer: -1, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**3 - 3*o**2 - o - 11. Let h(r) = -r**3 - 1. Let y(k) = g(k) - 4*h(k). Let i be y(4). Solve i*s - 35 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -25. Suppose -4*s + o = -13, 4*s + 7 = -q*o - 0*o. Solve -4\/5*f - s*f**2 - 6\/5*f**3 + 2\/5*f**4 + 2\/5*f**5 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s - 88*s + 354 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((6\/10)\/((-6)\/(-5)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5))\/(3*1\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-2) - 2) + -2. Let l be (-2)\/(o*1\/34). What is the highest common factor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -12*y - 160. What is the units digit of ((-30)\/y)\/(5\/(-140))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-9)*4*(-405)\/(-360).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**3 + 0 + 10*a + 2*a - 3*a + 1. Let r(o) be the third derivative of -o**4\/6 + o**2. What is r(t(j))?\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 6, -3, 2\/5, -1\/13, -0.0748?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 578 - 582. Sort f, 13, -12 in increasing order.\nAnswer: -12, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooqowgoggog. Give prob of sequence oqw.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 60*m**3 - m**2 + 1. Let z = 10 + -9. Let v be r(z). What is the highest common divisor of v and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 15. Suppose -h*g + 9*g = -210. Suppose 13*o + g = 15*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -1, 150\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 902 divided by 11\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 9:06 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161\/6 + 55\/2. Let b(g) be the first derivative of -2 - d*g**3 + 0*g**2 + 0*g + 1\/2*g**4. What is the third derivative of b(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/2 - 2283285*b\/2 + 1141641.\nAnswer: 3*(b - 761094)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - g + 0)*(34*g + 12*g + 3*g)*(0*g - 2*g - 3*g).\nAnswer: 245*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3474 and 17082816.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1518, -1517, -1516?\n\"Answer: g - 1519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((6 - (-525)\/84) + (-44)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 7*u - u - 5*u**2 + 4 + 12*u**2. Let w be q(-6). Suppose -w*t = -4*g + 44, -2 = -4*t + 2*t. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -96, -173, -250, -327?\n\"Answer: -77*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -3, 1, 0, -3428 in increasing order.\nAnswer: -3428, -42, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 4*w + 472, 5*b - 600 = -4*w - 112. Suppose 4*f = -16 + b. Solve -3*j - 4*n + 2 = -f, 5*j - 4*n = -6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15701.\nAnswer: 7, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02474821 to 3 decimal places.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 3*f + 14*f)*(f + 0 + 0) + (-f**2 - f**2 + f**2)*(-1 + 2 + 0) + (-4*f - f + 6*f)*(f + f + f).\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(8)*-2))\/(sqrt(343)*2).\nAnswer: -sqrt(5)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 + 12\/(-30). Suppose d*q - 15 = -3*q. Solve -20 = -4*g - 4*c, -5*g - q*c = -c - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5*(sqrt(1225) + sqrt(1225)*-2 + sqrt(1225))*-5)\/(1*(sqrt(77)\/sqrt(176) - ((sqrt(189)\/sqrt(3))\/sqrt(9) + sqrt(7) + sqrt(7)))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051066268 divided by -4?\nAnswer: 262766567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9318.\nAnswer: 2, 3, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*t + 741, -853*t - 4*x = -850*t - 738. What is the remainder when t is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/235656 and -97\/585.\nAnswer: 15317640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16552 + 16554. Let n(x) be the second derivative of -2\/5*x**5 - 1\/10*x**6 + 0*x**3 + 0 - 1\/3*x**4 + 13*x + 0*x**d. Solve n(b) = 0 for b.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*o**2 - 28*o**2 - 45*o**2 to l + f*o**2 + y*o and give f.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/(-25))\/((-2)\/10). Let s be (-10)\/(-3 + t + -2). Suppose 5*h + 2*o = 465, -4*h + s*o + 248 = -h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3286 = -620*x + 3579 + 2435 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 328820774678 - -16\nAnswer: 328820774694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2*i**2 - 3)*(0 + 0 - 2*i) - 74*i + 74*i - 111*i**3 - 2*i**3 - 2*i**3 + 2*i**3)*(0*i - 1 + 3*i - 4*i).\nAnswer: 109*i**4 + 109*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 11*u**2 - 10*u + 3. Let t be l(10). Find the first derivative of n**3 - n**3 - 3*n**t + 8 wrt n.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -145270?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1252, -2747, -5098, -8305?\nAnswer: -12368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + 630\/56)*108\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 49 - 15) + (-1 - -2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4083?\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27500310 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f066 (base 16) in base 6?\nAnswer: -2420154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593630?\nAnswer: 2, 5, 23, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 4 - 28. Solve -c + i*c = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2985 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 49. Let s be n*(-6)\/9*4\/18. What is the third smallest value in 1\/2, -3\/4, 0.4, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) -4 (c) 1\/5 (d) -1088 (e) 0.27 (f) 0.3 (g) -19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1008) + 1 + sqrt(1008))**2.\nAnswer: 48*sqrt(7) + 4028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1806 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/90 - 86\/(-18). Suppose -2*y - 4*b = 3*y - 4, r = -2*y + 5*b. Solve 0 = -2*z - y*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -80159616 by 3.\nAnswer: -26719872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2))\/d)\/d**5*(d**(1\/3)\/d)**(3\/43))\/((d\/(((d**(-4)*d*d)\/d)\/d))\/d**(2\/13)*(d\/(d\/d**(-1)))**(2\/99)) assuming d is positive.\nAnswer: d**(-657034\/55341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 5. Calculate s(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 695 + -667. Suppose -5440 = -4*b + 2*g, 26*g = 2*b + k*g - 2726. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 11) + 1 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3955237?\nAnswer: 11, 13, 17, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3 - 3)*(-1 + 1 + 3*r**2) + r**3 - 2*r**3 + 2*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -48*f - 4\/33*f**3 - 1 + 4\/11*f**2 + 1\/66*f**4. Suppose q(n) = 0. What is n?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 2*a + 16 = 0, -a = -3 + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*q, -q + 34 = -3*i - 4. Let a be 4\/i*3 - -5. Suppose -w = -a*w + 15. Solve -5*m = w*u + 30, 0 = -m + 3*u + u - 1 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/7 - 73904*b**3\/7 - 682872944*b**2\/7 - 2730604992*b\/7 - 2730309408\/7.\nAnswer: -2*(b + 2)**2*(b + 18474)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/7)\/((-207)\/(-6279)). Let n(h) = -h**3 + 26*h**2 - 2*h + 55. Let j be n(c). Let m(b) = 4*b**2 - 5*b + 6. Give m(j).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 2\/3 (c) 1\/10 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 772290089 to the power of 1\/2, to the nearest integer?\nAnswer: 27790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 - 170*x + 367*x - 198*x to d*x + w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 37119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6175932*j**3 - 12351860*j**3 + 6175929*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-3) + 44\/12. Suppose -h + 10 = y. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 5, t: 1, j: 12}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from olhroorrhorfrotoh?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k + 14\/3*k**3 + 16*k**2 + 0*k**5 + 0 + 0*k**4 - 13\/120*k**6. Find the first derivative of t(q) wrt q.\nAnswer: -39*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - -2a6?\nAnswer: 28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/28)\/(150\/15*1\/(-184)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3390 (b) 0.08 (c) 2 (d) -41 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 700529837 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 134*c - 136*c + 53 - 34*c**3 - 8*c**2 - 54 as z*c**3 + a + r*c + q*c**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -8*o + 14. Let j(b) = 2*b - 8. Let s be j(7). Let f(r) = 3*r - 5. Let t(u) = s*n(u) + 17*f(u). What is the units digit of t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 + -5 + 45\/10 - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5 = 7. Put 5, -0.6, x in ascending order.\nAnswer: x, -0.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15640 and 289993752.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1394, -2785, -4176, -5567, -6958, -8349?\n\"Answer: -1391*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-59)\/8)\/(((-45)\/320)\/(267\/712))?\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (876\/(-7227) - 17\/(-1)) + -17.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*p - 10*p**2 + 253*p - 135*p as k + i*p + c*p**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-4)\/30*-60. Solve -2*w - 2*w + 5*y + 37 = 0, 5*w = 5*y + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 15*n**3 + 405*n**2 - 2*n - 14. Determine y(-27).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5, 4*t - 4 = -u + 6*t. Suppose -2*v + 48 = u*v. Suppose -x + 11 = -1. What is the greatest common factor of x and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201231321 (base 4) to base 14.\nAnswer: -38489","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 1 - 1)*(0*x - 2*x + 3*x) + (6*x - 4*x - 12 + 0*x)*(-x - x + 0*x) to s*x**2 + u + t*x and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2498.27 days?\nAnswer: 59958.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -59. Solve 5 = -d*i + 4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -16.7. What is the third smallest value in 4, 0.4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - 176092\/70)*(-4 + -1).\nAnswer: 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, -37, -90, -175, -298?\n\"Answer: -a**3 - 7*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3277? (a) 1\/12 (b) -0.3 (c) -0.16 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 594\/(-252)*672\/(-72)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.14 take away 10031?\nAnswer: -10043.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5287, -10569, -15851, -21133?\nAnswer: -26415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-19 - (-1 - 11))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24958881781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*w + 20 = 7*v, 2*v + 3*w = 0. Let u be ((-8)\/(-3))\/(2\/9). Suppose v*y + 3 - u = 0. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 296 = 4*q. Let k be 2\/10 + q\/(-25). Suppose 0 = -k*z - 0*z + 60. Solve -3*u = -0*u + z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*j = 3. Let k(d) = 2*d - j*d - d - d. Let y(o) = -2*o. Give k(y(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + 3*h)*((-1 - h + 1)*(-2 + 0 + 7)*(h - 5*h - 3*h) + 2*h**2 - 2*h**2 + 2*h**2).\nAnswer: 37*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 29*p**3\/3 - 26*p**2 + 76*p\/3 - 8 = 0. What is p?\nAnswer: 2\/3, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*m = 19, m = -5*a - m + 20. Let k be (-1)\/2*-3*a. Let c(h) = h**2 + 3*h - 6. Let i be c(-5). Solve 4 = -o + x, i*x = k*o + 11 + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 9 + -7 + -1 + -4 + 9 - -24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2 + 14 = -4*n, -3*i + n = -17. Suppose 0 = u - 2, -2*u + 0 = -i*k + 8. Suppose 4*d = -5*f + 339, f + 428 = 5*d + k*f. Is d a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1539))*-1)**2 - -1*sqrt(1539)*-4) + ((sqrt(152) + -2*sqrt(152))*1)\/(1*sqrt(32)\/sqrt(4)).\nAnswer: -37*sqrt(19) + 1539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and 189563.\nAnswer: 189562.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 29*r - 195. Let h be c(-11). Let s be (h\/7)\/(15\/315*3). Solve -3*t + 3 = -s*g, -4*g - 4 = 2*t + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 256594 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 5) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12962231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhh. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 591 + -114. What are the prime factors of m?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - 2*sqrt(66) - sqrt(66))*-1)\/(sqrt(6)*-1*3 - sqrt(6)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56280019.\nAnswer: 2897, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-7)\/(-14)). What is the highest common factor of g and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -385367.\nAnswer: -39\/385367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-21))\/(2 + -4 - 90\/(-70)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702670 to the power of 1\/2, to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 261167327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.13 + -2.13. Put 2\/11, 3, o, 1\/4 in decreasing order.\nAnswer: 3, 1\/4, 2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898685?\nAnswer: 5, 179737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 13*w - 9. Let g be a(-8). Let t be 70\/(-7) + 8914\/30. Let f = g - t. What is the smallest value in f, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1042 - 1045. What is the biggest value in -5\/3, 0.4, -0.4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 4 + (-3 - 1 + 3)*(3 + 0 - 1))*(5*k - 2*k + 0*k).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 238732486 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149050028 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tksttatkaatta. What is prob of sequence tsak?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -6. Suppose q*k - u = 0, -4*k + 2*u = -u - 5. Let v = k - -6. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-10)*l*l*l**31*l\/l**13*l**(-27) assuming l is positive.\nAnswer: l**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -305*i**2. Let y(k) = k. What is y(g(w))?\nAnswer: -305*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2 - k**3 + 3 - 3*k + 3*k + 13*k**2. Let d be u(13). Suppose d*l - 4*l = 1. What is the greatest common divisor of 13 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1563 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 4:18 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 4*j + 1828, -10*l = -13*l - 2*j + 1379. Calculate the remainder when l is divided by 465.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 0 - (3 + -5 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83490 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-216)\/(-60)*5*3\/9. Solve 0 = -v*q + q + 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + q - 2*q)*(-5 + 6 + 3) + q - q + 3*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 10:55 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1237*b + 13. Let l(m) = -619*m - 6. Calculate -6*a(j) - 13*l(j).\nAnswer: 625*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**3 + 8*k - 25*k + 17*k.\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265*s**2*y**2 - 5*s**2*y + 7*s**2 + 33*s*y**2 - 20317*s wrt y?\nAnswer: -530*s**2*y - 5*s**2 + 66*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 3*m**2 + 1. Let y be l(3). Suppose -8 = -d - y. Let q = 27 - 7. Calculate the remainder when q is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 26422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18916014 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 55, 1, -75, -173, -293?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006307 to 5 decimal places.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 6)*(4 - 4 - 8985*s + 9092*s).\nAnswer: 428*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 69106 = -2*h, -4*i + 34155 + 34956 = -3*h. What are the prime factors of i?\nAnswer: 2, 3, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 25*x + 129. Let f be m(-5). Let y(o) = -o + 2. Let g be y(2). Let w = 2 + g. Solve -w*u + u + 11 = -3*p, -4 = f*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/5 in 13, 4\/5, -4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03 - -0.17. Let o = 0.6 - r. Which is the closest to 1? (a) 1 (b) -1\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2045.3 and 0.1.\nAnswer: 204.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = s + 17, a - s + 4*s + 19 = 0. What is the biggest value in 3, 5, a, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -9. Find the third derivative of b**3 + 4*b**2 + h*b**3 - b**5 - 4*b**3 wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 446672711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-12))\/(2 - 1)*-15. Factor 0 - 9\/2*u**3 + 3\/2*u**4 + 3\/2*u**z - 15\/2*u**2 - 3*u.\nAnswer: 3*u*(u - 2)*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 14. Let i(m) = m + 5. Let g = -18 - -24. Let q be (24\/(-10))\/((-10)\/25). Let l be (-26)\/g + (-4)\/q. What is l*k(z) - 14*i(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 728111, 728108, 728105, 728102, 728099, 728096?\n\"Answer: -3*g + 728114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -175 + 67c5?\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*q**3 + 5*q**2 - q - 7798 wrt q?\nAnswer: 105*q**2 + 10*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, 5, 3, 1.\nAnswer: -15, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 4*d**3 - 320*d**2 - 32768*d - 589824 = 0?\nAnswer: -32, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**3 - 497*y**2 + 16024*y wrt y.\nAnswer: 12*y - 994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 5. Let j be r(-4). What is the second smallest value in 0.4, j, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 10 = 6*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = a - 1. Suppose 35 = -4*x + 115. Calculate the least common multiple of x and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(187) + (sqrt(187) - sqrt(187)*-3))*6)\/sqrt(1584).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-21) - 690\/45?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1195*d - 1161*d + d**2 - 5*d**2 + 5. What is the tens digit of x(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 14 = -44. Suppose -2*l + 6*l = 8. Let v(g) = -14*g + 5*g**2 + 9*g - l + g**3 + 2. Determine v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + sqrt(720) + 2 + (-1*sqrt(720) - sqrt(720)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(833) - 3*sqrt(833)*-1) + sqrt(833))**2 - (sqrt(833) - (4 + (-1*sqrt(833))**2))) + 1.\nAnswer: -129971 + 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 - 62*t - 75. Give p(11).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2954)\/(-844))\/((-98)\/(-32))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 21456846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*z**2 - 53*z**2 + 24*z**2)*(5*z**2 - 3*z**2 - 3*z**2 + (2*z + 0*z - z)*(z - z - z)).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and ((-36)\/(-10))\/(3\/15)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36.5 - 37. Which is the smallest value? (a) k (b) 0 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 4*s**2 + 5*s - 4. Suppose 2*h + 5*j - 2*j - 116 = 0, 0 = -3*h + 5*j + 193. Let d be ((0 + 99)\/1)\/(60\/40). Let i = d - h. Give l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a. Let v(h) = -6*h. What is p(v(f))?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 79*c + 336. Let d be p(-6). Solve -4 = -s + 37*k - 34*k, 4*k + d = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 8\/3*r**3 - 4*r + 9 - 1\/4*r**4 - 2*r**2. Calculate p(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83752889*w - 84330909.\nAnswer: -83752889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -139 - 137 - c + 281. Let h be s(4). Let t(p) = -12*p. Give t(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-3)\/68)*13\/52. Sort p, -1, -4, 2, 0 in decreasing order.\nAnswer: p, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*s + s + 45*s + 3*s + 9*s.\nAnswer: 91*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 5)*(-6*u + 15*u + 25*u)*(-2*u - 2*u + u) in the form t*u + p + x*u**2 and give x.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2582 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33016891*g**3 - 40966*g**2 + 81*g + 1 wrt g?\nAnswer: -198101346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 5*h - 153, 5816*h - 5809*h - 7 = 0 for u.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -762 = 4*g + 2*j - 744, g + 3*j = -17 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/4 and -80.8856 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i - 19. Let v be 9 + 108\/(-12) + (-12)\/2. Give k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 - -2*(-1)\/2. Let w be ((-30)\/3)\/(-2) + -1. Does 10 divide (g\/w)\/((-3)\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279844 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.8 + 45. Let c = 23.3 + -28.3. What is the nearest to c in p, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3056 + 2976 = 754*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q + 10*q = 104. Suppose 2*s - 5*x + 17 = 0, -4*s + 6 = -3*x + x. Suppose -4 - 4 = 4*v + 4*d, -s*v = -q*d + 40. Sort -2, v, -5 in ascending order.\nAnswer: v, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*a + 23. Let m(j) = -j**3 - 11*j**2 + 16. Let k be m(a). Suppose -k = -v - v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 53420, 53425, 53430, 53435, 53440, 53445?\n\"Answer: 5*k + 53415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -1.3. Let k = -0.2 - t. Suppose -1 + 4 = -f. Sort k, f, -0.1.\nAnswer: f, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**2 - 15*b. Let i(o) = 25901*o**2. Determine m(i(l)).\nAnswer: -1341723602*l**4 - 388515*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 6. Let y be h(9). Let m be (-3795)\/(-385) - (-6)\/(-7). Solve b = y*a + 3, 2*a = -m*b + 5*b - 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1, 29, -5, 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 316 and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 + -3.75. Let r = l - -4.45. Put 0.3, r, -1\/4 in increasing order.\nAnswer: -1\/4, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 377 - 26*r.\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 50 = -36 + 26. Let m(v) = v**2 - v - 5. Calculate m(f).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 75?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)\/(5*sqrt(12)*2))\/(sqrt(15)\/sqrt(125)*1) + 2)**2 + -5.\nAnswer: 15\/4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l + 2*b + 165 - 166, 0 = -3*l - 2*b - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21003 - 21003.019002. What is t rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3796, 669, 5134, 9599, 14064, 18529?\n\"Answer: 4465*d - 8261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/144 and 43\/240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - o + 6. Let u be i(2). What is the common denominator of ((-155)\/u)\/(3*-2) and -68\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 3*h**2 - 43*h + 109. What is the tens digit of y(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -2\/11, -2 in decreasing order.\nAnswer: 7, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.01*-5.\nAnswer: 5.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + (-4 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6*l**2 + 2*l + 1. Let m be z(1). Let o(n) = n**3 + 5*n**2 - 7. Let i be o(m). Calculate the greatest common divisor of i and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -16. Let x = 3.032 + k. Let a = 0.0320043 - x. Round a to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3 = t, -5*j - 13*t + 8*t = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 201 - 757. Suppose -3*s + 0*s - 5*n - 785 = 0, 0 = -4*s - 2*n - 1070. Let o = m - s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 22*h**2 + 21*h + 1. Let n be s(-21). Let d(j) = 7*j**3 + 5*j**2 + 6*j. Let w(a) = a**3 + a**2 + a. Calculate n*d(y) - 6*w(y).\nAnswer: y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + r - 29. Let v be u(5). Solve -x = 4 - v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2208366*x + 2208366*x - 2587*x**2 - 1251*x**2 to the form d*x**2 + w*x + r and give d.\nAnswer: -3838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 11*p**3 - 5*p**3.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1184478 divided by -1\nAnswer: -1184478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4621279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 85945 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 14 + 9 = 0. Sort z, 16, -2 in increasing order.\nAnswer: -2, z, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 56 - 52 = 0. Let g(h) = 2*h - 24. Let q be g(14). Suppose -q*s + 21 = -7. Calculate the remainder when y is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 5*q + 65. Solve -15*y = -q + 43 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 - 2*m. Let z(j) = -2*j**2 - 11*j + 6. What is 6*b(y) - z(y)?\nAnswer: 32*y**2 - y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 3*m + 6. Let h be l(4). Let u be h\/25 + 83\/5. Suppose -4*o + 27 = -u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.72 + 0.12. What is p rounded to 1 dp?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - w**2 - 12*w - 4. Determine b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.08 - -0.32. Let g = 2.4 - s. Let d = 8 + -5. What is the closest to d in g, -2\/9, -1\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3553*u**4 + 70990 with respect to u.\nAnswer: -14212*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.68 - 5.67703. Round n to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -119*u + 1. Let x(c) = c - 1. What is -5*r(p) - 5*x(p)?\nAnswer: 590*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381 is divided by 155?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3651 is divided by 39.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 1753482?\nAnswer: 1753433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19*f**3 - 2*f**2 + f. Let c = 13 - 12. What is y(c)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8500 is divided by 78?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30300000 rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-60)\/45 + (-19875)\/(-9). Let j = d + -1246. What is the greatest common divisor of j and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148615673 plus -224?\nAnswer: 148615449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -461616 - -2299332\/5. Let o = -1737 - r. Factor -3*z**2 - 49\/5 - o*z - 1\/5*z**3.\nAnswer: -(z + 1)*(z + 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 39 + 135 = -5*f, 4*f - 49 = -w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - -23 - (-3 - (4 + 2)) - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 4 = -3*l, l = 4*y + 6 - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 85648000 = 2*b, -5*n + 107060000 = 111*b - 110*b. What is n rounded to the nearest 100000?\nAnswer: 21400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14740 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42477554 is divided by 142542?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**3\/3 - 100*n**2\/3 - 32*n = 0. Calculate n.\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4823.345787 + 430\nAnswer: -4393.345787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Is (-5 + -3686)\/(u - (0 + 3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-12))\/s**(-9))**47 assuming s is positive.\nAnswer: s**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -417*i*l**2*z - 2*i*l**2 - 2*i + 11*l**2*z - 4*l*z - 5*l - 5*z + 2 wrt l.\nAnswer: -834*i*z - 4*i + 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10111311322 (base 4) to base 8\nAnswer: -4256572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/((-2176)\/(-160) + -15 + 97\/5) + 7?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chr when three letters picked without replacement from {x: 4, l: 2, r: 1, h: 4, c: 3, a: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose t = -2, -3*v - 3*t = -i*v + 38. Let g be v\/14 - 4\/(-14). Sort -3, g, -1.\nAnswer: -3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(-1)*b)**(10\/3)*b**(3\/11)*b*b**(1\/4)*(b**(-1\/4))**(-25)*(b**1)**(-1\/36) assuming b is positive.\nAnswer: b**(9667\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.155? (a) -12 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.29? (a) -1.65 (b) -2\/9 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s - 6. Let k be d(-3). Suppose k = 4*l + 3*z + 163 + 168, -5*z = -2*l - 185. Let n = l - -121. What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5019175009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 124*z - 493. Calculate b(3).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6174, -6171, -6168?\nAnswer: -6165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30424 + -30424. Solve 5*b + 5*c - 15 = 0, x = -8*b + 5*b - 4*c + 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - r + 8. Let f = -3 + 3. Let s be b(f). Let a be 4\/s*-2*-1. Solve n - a = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3740 - 4151. What is the second smallest value in -4, -1, -2\/11, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 123*l**2 - 62*l - 83. What is y(-61)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4442 - 35*s + 4442.\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100 - -101002011020?\nAnswer: 101002012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-160)\/360)\/(6\/108).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**3\/3 - 2. Let t = 8 + -5. Suppose -4*s + 18 = -5*c, -2*c + 0 = -t*s + 3. Let u(k) = -4*k**2. Determine c*x(w) + 2*u(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -15b?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3047096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -3, 4, -39 in decreasing order.\nAnswer: 4, -1\/5, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-128)\/24 + 6). Which is the second biggest value? (a) -5 (b) g (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1349168 and 324048.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-15 - -8) + 3 + (-2 - -14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 3*w + 82. Determine p(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4 + 2349*s**3 + 21087*s**2 + 63207*s + 63180.\nAnswer: (s + 3)**3*(s + 2340)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 + 304. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*t - 106*t - 103*t + 550*t**2 to v*t**2 + s*t + c and give v.\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259587173.\nAnswer: 43, 919, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 - -97. Let q(h) = 151*h + 1. Let u be q(1). Let z = u + -1066\/7. Which is the biggest value? (a) z (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 290 and 466 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 178?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -57896000 to the nearest one million.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 1:53 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 4. Let p be y(10). Let o(f) = 0 + 0 - f**3 + 8*f**2 - 1 + p*f - 11. Does 11 divide o(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 11 - (-2 - (-15 - -8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.71 from 3.6327.\nAnswer: -0.0773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -448164*o**3 - 448148*o**3 + 1344457*o**3 - 448153*o**3 + 2*o**2 + 0*o**2.\nAnswer: -8*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*k - 5, -7*i = -12*i - 2*k + 23. Let n(j) = -j**2 + 11*j + 1. What is the least common multiple of n(11) and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -613 + 1.7.\nAnswer: -611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 138*k + 966. Let h be v(-7). Sort 0.04, h, -4, -2 in decreasing order.\nAnswer: 0.04, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 + h**3 - h**3 + (18*h**2 - 43*h + 43*h)*(3*h**2 - 3*h**2 - 4*h**3) + 4*h**4 - 4*h**4 - 2*h**5 + (-3*h**4 - h**3 + h**3)*(2*h + h - h).\nAnswer: -82*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (-296)\/((-8 - 8)\/8).\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 220, 0 in ascending order.\nAnswer: 0, 1, 4, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -40873915 divided by -27\nAnswer: 40873915\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34394.12 centuries in months?\nAnswer: 41272944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6380 and 14366165?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2730, -22065, -74566, -176823, -345426, -596965, -948030, -1415211?\n\"Answer: -2765*r**3 + 7*r**2 - r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, 72, -1\/4, -2\/3, 4 in descending order.\nAnswer: 72, 4, 0.4, -1\/4, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74170219 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 428085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -125 + 240. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5 - 13. Let r(d) = 7*d. Let m(a) = -6*a. Let l(y) = -6*m(y) - 5*r(y). What is the smallest common multiple of l(c) and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34, 17, 28, 4, -5, 6 in ascending order.\nAnswer: -34, -5, 1, 4, 6, 17, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 9*b**2 - 6*b - 186. Give r(-10).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*n + 5\/3*n**5 - 1220\/3*n**3 + 60*n**4 + 570*n**2 - 630 = 0.\nAnswer: -42, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j - 2. Let c be i(1). Suppose -9 = 3*l, 12 = w - c*l - 9. Let d(x) = -x**3 + 6*x**2 + 8*x + 1. Does 12 divide d(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 21?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6292*u = 5*q - 6297*u + 40, -4*u - 8 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49934 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -22076.24 to the nearest one thousand.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2\/9, 436, -3\/2, 3162?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25812852101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u + 14*p - 11*p = -63, -u = -3*p + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 3*d**2 + 7 - d**3 + 2 + 0*d**2 - 6. Determine r(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (1*-3)\/(-3). Let j = i - -2. Suppose -3*a - 4*f = a - 92, -5*a = j*f - 113. What is the smallest common multiple of a and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 48*r + 18189355 - 18189355. Let m(h) = 4*h - 9. Give m(t(u)).\nAnswer: 192*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/3 (b) -13 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {u: 1, i: 1, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.32, 501, -0.4, 0?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 + 270.13. Let k = 1.87 + c. Sort -3\/8, k, 17 in increasing order.\nAnswer: -3\/8, k, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8751 = 4*t - 146*t - 2011 - 598 for t.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 266 and 5752144.\nAnswer: 765035152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from umddudlmufuumu?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 4*s - 3*s + 7 - 2*s in the form b*s + u and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10502505.4 and 4?\nAnswer: 10502501.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r - 11 = 5*l, 5*r = -l + 7. Let j be (l - -5) + -4 + 3. Let g(v) = 11*v**3 - 2*v**2 + 2*v - 1. Let t be g(j). Solve -u - t = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17*(-44)\/2992)\/(10\/(-36))\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l - 20. Let p be v(-3). Let k be (1\/3 - 1)*-3. Suppose 2 + k = h. Solve p = 5*c - 0*j + h*j, 0 = 4*c + 5*j - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 372560 and 8419856?\nAnswer: 42099280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83070719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -18\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337 - 234. List the prime factors of n.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 1:53 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*r - 188*r - 156 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, r: 2}. What is prob of picking 2 r and 2 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10814)\/4)\/((-26)\/167). Let c be 17\/(-136) - (-694515)\/(-40). Let p = k + c. Find the common denominator of 5\/16 and p.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 210 + 1d?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7184*i - 215550. Give c(30).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*l**3*m**3*z - 327*l**3*m**3 + 2*l**3*m**2*z - 952*l**3*m*z + 2*l**3*m - 8*l**3 + 2*m**2 wrt m?\nAnswer: -90*l**3*z - 1962*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dheu when four letters picked without replacement from ihihedu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-30)*j*j**(-14)*j**(-10\/11)\/(j\/(j\/(j\/j**(-2\/39)))) assuming j is positive.\nAnswer: j**(-19288\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29003521 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8) + -2*sqrt(288))*-3)**2.\nAnswer: 27\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 - 2. Let r = 3.3 - m. Let t = 82.2 - 82. Which is the third biggest value? (a) t (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 + 4*j**3 + 3*j**4 + 0*j**4 + (-3 + 5 - 3)*(-33*j**4 - 12 + 12) to h*j**4 + i*j**2 + y*j**3 + x*j + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 11:22 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -85 + 170. Suppose 0 = 9*h + 8*h - f. Do h and 9\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**(-1\/11)\/((l*l*(l*l*l**(-14)*l*l)\/l)\/(l*l*l**(1\/2))) assuming l is positive.\nAnswer: l**(1261\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {p: 13, e: 5}?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7 + 1*(2 + 130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*((6*(sqrt(40)\/sqrt(5) - sqrt(8)))\/(sqrt(100)*5) + -5))**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - m + 100 = 19*a, 0 = 5*a - 2*m - 112. Suppose -4*z - 572 = -3*g, -2*g - 4*z + 222 = -166. Calculate the greatest common divisor of g and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + t**2 + 32. Let y be u(0). Let b(v) = -68*v + 62*v - 2 - y. Let x be b(-6). Solve m = -x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 745, 1493, 2241, 2989?\n\"Answer: 748*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/24930 and 61\/450?\nAnswer: 124650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:41 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 106*q**2 + q - 3. Is w(3) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + (-46 - -54)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185169071 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j**3 + 17*j**3 - 5*j**3 - 472*j**2)*(3*j**2 + 3*j**2 - 4*j**2).\nAnswer: 4*j**5 - 944*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 586111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 63.9. Let m = i - 1.1. Let b = 7 - 5. What is the smallest value in m, b, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 - 5*k + 6. Let u be o(4). Let m be 1 - (u\/2)\/1. Suppose -i - 642 = -3*c - 102, -4*c + 4*i + 712 = m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-2 - -2)\/12?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43675, -87275, -130719, -173929, -216827, -259335?\n\"Answer: 13*p**3 - 43691*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*n - 3*i + 354 = -69*n - 0*i, -32 = n - i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 - 59*d**3 - 2*d**2 - 1757*d + 1754*d.\nAnswer: -59*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11000000001001001100100 (base 2) to base 5\nAnswer: 3102434124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + -49 + 85 + -37?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 5*r**2 + r**3 - r**2 - 3*r**2 in the form n*r**3 + o + m*r**2 + g*r and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -2.4. Let q = -0.7 + c. Let n = -6.5 + q. What is n rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 605*j - 8555*j + 121 - 59 - 62 to the form v + a*j and give a.\nAnswer: -7950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.973 - -2.415. Are 2 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1692*v**2 + 1035*v**2 + 657*v**2 + 1521*v**3.\nAnswer: 1521*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 6*y - 3. Let c be j(-2). Suppose -10 = -3*v - 5*r - 0*r, 0 = 2*v - c*r + 10. Solve -h + 5*x - 1 = -0, -2*x = v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/183744 and 119\/413424.\nAnswer: 1653696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.722 + -4.722. Sort -2, 4, -9, q in ascending order.\nAnswer: -9, q, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*w + 56*w - 115*w + 49*w**2 as p*w + y*w**2 + o and give y.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -5.2. Let s = -14 - -10. Let v = n - s. Put 2, v, -2\/5 in descending order.\nAnswer: 2, v, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(f**4 + 2*f**4 - 2*f**4) - 3*f**2 - 16*f**4 + 3*f**2 + 0*f**2 - f**4 + 0*f**2 + (-f + 2*f + f)*(2 - 3 - 1)*(6*f**3 - 28*f**3 - f**3).\nAnswer: 74*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 6:41 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*r = 84, 33 + 69 = 5*f - 4*r. Calculate the remainder when 257 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 445.265 + -427.3. Let h = 28 - 10. Let w = k - h. Round w to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 12*y = 4*f - 92, f - y - 16 = 0. Suppose 1 = -f*g + 141. Let u = -5 - -9. Solve -4*t - 3*n + u = -g, -3*t = -4*n + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9193 is divided by 3059?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13197530 is divided by 1734.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40634 + a27?\nAnswer: 4145b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -249, -476, -685, -876, -1049, -1204, -1341?\nAnswer: -1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -54. Suppose s + 204 = b*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -650 divided by -130.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 110?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*s - 180*s - 150 = 0. Solve 0 = 5*q + s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 12, 2, 1\/2 in ascending order.\nAnswer: -74, 1\/2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 25086?\nAnswer: 25085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -8 + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10339078 to the nearest integer?\nAnswer: 3215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5\/4)\/s)**(1\/57))**(-42) assuming s is positive.\nAnswer: s**(63\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 208368516 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/27)*b**(-1\/15))**(-25) assuming b is positive.\nAnswer: b**(95\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-2)*20\/(-18)*9. Let i be (-5 + u\/32)\/(1\/(-4)). Solve -i*j + 4*z + 11 = 0, 0 = 5*j + 2*z - 7 - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -30. Suppose -25 = 3*p - 5*m, 4*p - 4*m = j*p - 20. Suppose z - 2*z - 1 = p. Find the common denominator of -26\/7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 4, 2, -12, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 6992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -18.2456.\nAnswer: 310.1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**10\/1680 + c**6\/360 + c**3\/6 - 3*c. Let u(o) be the second derivative of r(o). Find the third derivative of u(q) wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2914 a factor of 73847268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (178 - 103 - 110)*(x + x - x + (3 + 0 - 6)*(-x + 0*x + 3*x)) to a*x + z and give a.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*o + 36 = 5*u, -5*u + 68 = -2*o. Suppose -12 - u = -2*n. Let c be 9\/12 + (-210)\/(-40). Calculate the greatest common divisor of n and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -460, -921, -1382?\n\"Answer: -461*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = -2*f + f, 0 = 2*r - 4*f - 18. Solve -24 = -3*h + r*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -1)*5\/(-2). Let y(a) = b*a - 2 - 2*a**2 + 0*a**2 + a**2. Suppose 2*p + 11 = 5*c, -15 = -3*c - 3*p - 0*p. Give y(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2964 times -16\nAnswer: -47424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5536805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 16*l - 21. What is the remainder when n(-14) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962392 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = w + 5, 4*w + 4*r - 31 - 9 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001893 rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/12 - 2*g**3 + 8*g**2 - 6*g. Let q be o(-13). Let m(r) = r + 3*r - q*r. Let x(i) = 1. Calculate -2*m(h) - x(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by (-6)\/4 + 0 + (-380)\/(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - (sqrt(40)*2)\/sqrt(2)) + sqrt(100)\/(sqrt(55)\/sqrt(11)))**2 - (-4*sqrt(1280) + -5)*5.\nAnswer: 25 + 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 1358.\nAnswer: 2\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -47*b + 0*b**2 + 5\/12*b**4 + 0*b**3 + 0. Let q(a) = -2*a**2 - 15. Calculate n(q(s)).\nAnswer: 20*s**4 + 300*s**2 + 1125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + s = 2, -8 = 50*f - 55*f + 10*s + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 179 times -529.78\nAnswer: -94830.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-579)\/(-15) + 4\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-10 - -6 - -6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 111 - 100. What is the highest common divisor of f and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 2*h + 6. Let s(a) = h*a - 6*a + 1 + 0*a. Let w be -1 - ((-24)\/3)\/4. What is s(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 48?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1830459570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 + -15. Let q be (4\/(f\/819))\/(1\/4). Calculate the greatest common divisor of 18 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7368 and 3498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -36, -72, -142, -258, -432, -676, -1002?\n\"Answer: -2*j**3 + j**2 - 3*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 418\/7 + -6513\/112. Calculate the common denominator of 1*(-31)\/3*(-423)\/3948 and z.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Let h(o) be the second derivative of -o**5\/20 - o**4\/12 - 33*o**2\/2 + 102*o - 4. Give h(v).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16152, -64525, -145116, -257925?\n\"Answer: -16109*d**2 - 46*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*((-28)\/21)\/(20\/15)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (79 + 106 - 82)*(-4 + 4 + 2*z) as u*z + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 0*a**2 + 0*a + 13 + 3\/28*a**4 + a**3. Solve j(k) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggwwggggwgwggggwg. What is prob of sequence wggw?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/300 and 173\/150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(14\/5)*f*f\/(f\/(f\/f**(-17))))\/((f**(-29)\/f)\/f**(-20)) assuming f is positive.\nAnswer: f**(159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 7\/6*q**3 - 6*q + 3\/2*q**2 + 0. Give x(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(18) - -4*sqrt(18)*-2) + sqrt(162)\/(sqrt(9)*-2) + (1 + sqrt(4)\/sqrt(2) + (sqrt(2) - -1*sqrt(2)*6))**2*4) + -1.\nAnswer: -517 - 83*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*o**2 + 7*o**2 + 4*o**2 + o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 17*t - 8. Solve t*i = -i + 2*k - 6, 3*i - 4*k + 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.6 rounded to 0 decimal places?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(-2\/3)\/w*w)\/w))**(-1\/5)*(w**(-7)\/w)\/w**12 assuming w is positive.\nAnswer: w**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = z - 4, -s = z - 2*s - 1. Put z, -5, 5 in decreasing order.\nAnswer: 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 - 3)*(-3*w**2 + 3*w**2 + w**3).\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 4*q + 2. Let t be p(5). Suppose 2 = d + t, 4*d + 26 = 2*g. Find x such that 4*x + 5*x**2 + 7*x**2 - g*x**4 - 9*x**4 - 9*x**5 + 5*x**3 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590319955?\nAnswer: 5, 23, 757, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2560 divided by -10?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.345328 years?\nAnswer: 100.143936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226330.192 take away 106.2?\nAnswer: -1226436.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28089*t**3 + 22912*t**3 - 19212*t**3 - 36554*t**3 - 54734*t**3.\nAnswer: -115677*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18962278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - c + 331. Is l(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 544 divide 2099840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -91146.4 to the nearest 1000.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 101*j - 3. Let b be i(3). Suppose 2*t = -b + 56. Let w = 197 + t. Calculate the greatest common factor of w and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5223 by 6.\nAnswer: 1741\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2808*o. Let j(h) = 134*h. What is j(n(z))?\nAnswer: 376272*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*b = -210. Let v = 40 - b. Solve a + 4*r = 18, -7 = v*a - 4*r - 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57271.54 rounded to the nearest one hundred?\nAnswer: -57300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 2. Let w be n(2). Let z(g) = g + 1. Let f be z(0). Let o = w - f. Which is the third smallest value? (a) -3 (b) 2\/15 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 11. Let z be g(-5). Let s be ((-80)\/z)\/(5\/(-15)). Let q = 0 - s. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3201420342 + 10?\nAnswer: 3201420402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3 - 796*q**2 - 39996*q - 39204.\nAnswer: -4*(q + 1)*(q + 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12c4 - -3?\nAnswer: -12c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276 - 1093 + 265 - 44*c + 274 + 278.\nAnswer: -44*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let n(i) = i - 16. Let p be n(7). Let o = 9 + p. Let k(j) = -4*j - 3*j + o*j + 3*j. Give k(b(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x + 41 = -22. Let j(k) = 2*k + 3*k - x*k - k. Let q(a) be the second derivative of -a**4\/12 - a. What is q(j(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30722180.01999795 + 30722179. Let m = -1.02 - k. Round m to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78059 (base 14) to base 4\nAnswer: 1013001333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*z**4 + 145*z**2 - 287 + 8*z**4 + 399*z**3 - z**4 - 141*z**2 + 6*z**4 wrt z.\nAnswer: 24*z + 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116463765 minus 23?\nAnswer: 1116463742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22178395.\nAnswer: 5, 59, 75181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -287 - -328. Suppose 10 = -2*x, 0 = -5*z - 4*x + 706 - g. What is the remainder when z is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nccc when four letters picked without replacement from nccnc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7860.801 tonnes to milligrams.\nAnswer: 7860801000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 4. Let g(j) = 8*j**2. Calculate s(g(y)).\nAnswer: 64*y**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a*s**3 + 32*a*s - 5*a + 2*s**3 - s + 1278 wrt s?\nAnswer: 12*a*s**2 + 32*a + 6*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3694.3 take away 3042.7588377?\nAnswer: -6737.0588377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(272) + sqrt(153)\/(sqrt(9)*-2 + sqrt(9)))**2 + (sqrt(153)*-2*4)\/sqrt(9).\nAnswer: -8*sqrt(17) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -27 - -15) + 20.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56890526 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**4 + 3 - 2*z**3 + z**3 + z**2 - z**3 - 4*z**3 as r*z**3 + p + g*z**4 + y*z**2 + m*z and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - 101432?\nAnswer: -102014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 947400.4 decades to millennia.\nAnswer: 9474.004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.94 to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - -25. Suppose 0 = -f - 5*d + 9 + z, f = -2*d + 36. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -181032916.00741 - -181031956. Let r = 960 + a. Round r to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 + 5. Let l = 109 - 104. Suppose -l*p + 2*b = 1 + 23, -2*b = 2*p + 18. What is u(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*n + 21. Let l be -6 + 4 + -1 + n. Let w(j) = -6*j**2 + 7*j + 8. Let a(h) = 5*h**2 - 6*h - 7. What is l*a(i) + 6*w(i)?\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 + 108*n\/5 - 104\/5.\nAnswer: -4*(n - 26)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 3*g**2 - 1 + 3*g**3 - 4*g**2. Suppose -7*l + 349 = -533. Let j = l - 127. Calculate v(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 + -343. Let p(g) = g**3 + 9*g**2 + 10*g + 10. Calculate p(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((12\/3890)\/((-21)\/(-14)))\/(-10). Let v = 103077\/38900 - p. Find the common denominator of -13\/60 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 10007*s + 2631851. Calculate v(-263).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 123028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/51)\/(13880\/29495)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 0, 20, 5, -138, 456.\nAnswer: -138, -3, 0, 4, 5, 20, 456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778314 is divided by 783.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -1911, 1\/13, -3\/16?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -127 - 626a0?\nAnswer: -62807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12951298*d**3 + 70401891*d?\nAnswer: -77707788*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 6:47 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 20. Let t be r(-7). Let k = 346.1 + -346. Which is the nearest to 0.1? (a) -0.15 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 16605423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5*y - 5*c + 4356, 2*c = 5*y - 4368. What are the prime factors of y?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -35. Suppose 2*n = n + g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 812, -467, -3848, -9337, -16940, -26663, -38512, -52493?\n\"Answer: -o**3 - 1045*o**2 + 1863*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/7 - 840*b**4 + 4655564*b**3\/7 - 477116544*b**2\/7 - 5123278990*b\/7 - 13102854600\/7 = 0. Calculate b.\nAnswer: -5, 132, 1409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 4*b + 2*n - 50, 5*b = 5*n + 55. Let p(k) = k - 10. Calculate the smallest common multiple of 4 and p(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**3 - 68*f**2 - 69*f - 33. Let j be q(35). Sort 6, j, -3, -13 in ascending order.\nAnswer: -13, -3, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*l + 1 - 31*l + 76*l in the form h*l + n and give h.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 276 = 3*d, -22*t + 20*t + 176 = 4*d. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-535)\/642*(-6)\/(-10))\/(5\/250).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o - 24 = 75*o - 163*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 - 10*p - 13. Let w be h(-4). Put -3, w, 4, -1 in increasing order.\nAnswer: w, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 242 and 132.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 16*d**2 + 8. Let k be y(-16). Suppose -48 = 5*l - k. Is l <= -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6500 and 413500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 2*o**2 - 5*o. Let d(n) = n**3 - n**2 + n. Let s(z) = -2*d(z) - x(z). Let s(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (6 + (-3 - 0) - 4) - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**3 + 164739*f**2 + 741362*f + 329496 = 0. What is f?\nAnswer: -4, -1\/2, 82374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107\/33 + -502\/165. Find i such that -g*i - 1\/5*i**4 + 1\/5*i**3 + 0 + 1\/5*i**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 2*q + 2. Determine z(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 24569 - 0?\nAnswer: 24569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 55. Suppose -q*g - 3*i - 3 - 14 = 0, 16 = -4*i. What is the units digit of (0 + g)*435\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 10*j**3 - 23*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101010 (base 2) to base 12\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 - -33?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -896 - -1301. Let n = -214 + h. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*m. Suppose b - 4*b - 18 = m. Let f(u) be the third derivative of u**5\/60 + u**4\/4 + 7*u**3\/6 - 35*u**2 + 3*u. What is f(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3578 - 0.0578. Put -15, 0.1, m, 1\/6, -2 in increasing order.\nAnswer: -15, -2, 0.1, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 4848.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -311? (a) -32\/13 (b) -1\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 21*o**2 - 18000*o + 2901. Calculate a(145).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2\/13 - 1062*r\/13 - 164 = 0.\nAnswer: -2, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22248 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536 a factor of 5788682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let k be m(-1). Let t be (k + 3)*1\/(-2). What is the common denominator of 1 - (t + (-31)\/16) and 113\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/30)\/((-12)\/(-40)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 (base 14) in base 16?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/10 of a century?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Let l(r) = -4*r + 8. Let z(g) = -g - 3 + 2*g - g + g. Let f(s) = -3*l(s) - 8*z(s). Calculate p(f(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -378167, -378191, -378231, -378287?\nAnswer: -378359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {q: 11, h: 2, k: 1, w: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 29*b**2 + 124*b**2.\nAnswer: 104*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21201 or -21278?\nAnswer: -21201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 798652 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 7:59 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2. Let d(s) = 44*s**2. Calculate z(d(i)).\nAnswer: 5808*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + s + 26. Put s, -3, -2 in descending order.\nAnswer: s, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l - 5. Let r(q) be the second derivative of -13*q**3\/6 + 3*q**2 + 5*q - 1. Let u(o) = -7*g(o) - 6*r(o). Determine u(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 2, -10, -7.\nAnswer: -10, -7, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**25)\/(w*w*w\/(((w*w*w\/w**(2\/23))\/w*w)\/w*w)*w*w))**(1\/43))**(1\/10) assuming w is positive.\nAnswer: w**(55\/989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 96517.23 decades?\nAnswer: 965172.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.96 - 1. Let o = -0.46 + l. Let b be (0 + 2\/11)\/1. Put 2\/5, o, b in descending order.\nAnswer: 2\/5, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2 + 48*f - 50.\nAnswer: 2*(f - 1)*(f + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 195. Let l be k(0). What is l rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10815059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = 7. Let i be (0 - -2 - v)\/(-1). Solve i*s + 1 = 4*n + n, 0 = -5*s + 5*n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 606843\nAnswer: 1\/606843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3379 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6717\/5 + -1337. Is 6 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f - 3. Let l be w(-3). Suppose -1 - l = -2*o. Suppose o*n + 5*y - 85 = 0, -4*n = -2*n - 5*y + 1. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34139, 57888, 81637, 105386, 129135?\nAnswer: 152884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v + 6. Let d be u(7). Find the second derivative of h + d*h**3 + 5*h**2 - 5*h**2 wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - 222?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -199.5 in -1\/55, 5, 0.2?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/10 and 65\/12698.\nAnswer: 63490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006126294 rounded to 5 decimal places?\nAnswer: -0.00613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1432531 - 0?\nAnswer: 1432531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 less than -62.2?\nAnswer: -62.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -20. Let p = b - -10. What are the prime factors of (-2516)\/(-44) - p\/22?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 234423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q + 10*q + 6*q + 3*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 284957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 - u**2 - 2*u**2)*(-3 + 2 + 3) + (1 - 20 - 9)*(-2*u**2 + 2*u**2 + u**2) as b*u**2 + m + a*u and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -286 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 167154*j + 1337360.\nAnswer: -2*(j - 8)*(j + 83585)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 138*d + 37*d - 228 + 451 - 223 to i*d**2 + s + r*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*s + 18 = 0, -2 + 11 = 3*s. Let j(v) = -v**2 + v - 3. Let x be j(0). Calculate the smallest common multiple of q and ((-22)\/(-3))\/((-2)\/x).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 v, and 1 s when four letters picked without replacement from {b: 2, x: 1, s: 4, v: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 != -616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:26 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4485610500 to the nearest one million.\nAnswer: -4486000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -21 + 13 + 9 + 4*w. Suppose 0 = -0*j - 5*j - 25. Let m(b) = -7*b - 1. What is j*g(d) - 3*m(d)?\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 101 = 32*r, 5*r = 3450*y - 3453*y - 18 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 67542061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 478394 (base 10) to base 6\nAnswer: 14130442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 77.4341 to the nearest integer.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 617 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719755 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 61\/2. Let j = 0 - 0.2. Which is the nearest to x? (a) -3 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/11594 and 89\/2354.\nAnswer: 1240558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646222.\nAnswer: 2, 47, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 35*m - 19. Let c be k(7). Let v = 406 - c. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.5 (c) -6 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + a1?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 5*h - 7. Suppose -z - 3*z + 24 = 0. Let g be d(z). Which is the smallest value? (a) g (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 8*x**2 - 13*x - 9. Calculate q(-9).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -6*(sqrt(468) + 2)*-5 + 4 + sqrt(468)*2 + (sqrt(468) + -1 + 5 - sqrt(468)))**2.\nAnswer: 27264*sqrt(13) + 484273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (30 - 15) + (3 - 3 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by 18\nAnswer: -31\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 1988. Let q(h) = 2*h + 1949. Give -6*q(l) - 5*r(l).\nAnswer: 3*l - 1754","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*275\/(-75) - (-105)\/(-5)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/39)\/((-218)\/(-1417))*2*(-46)\/(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - 5 - (-15 + -39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*b + 38, m - 6 = 2*b + 3*b. What is the remainder when 21 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 8*x**2 + 7*x - 1. Let c be g(7). Is (-2)\/(c - -2) - -6 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19. Suppose j = -5*i + 38 + 347. Suppose -46 + 140 = 5*f + 3*m, -3*m + i = 4*f. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28524 - -67?\nAnswer: -2848a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, a: 11}. Give prob of picking 3 a and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -483 - -485. Let l be (27615\/14)\/3 - 3\/b. What is l rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*m - 3 = -47, -r - 1010 = -56*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -129*o + 132 - 7*o**2 + 10*o**2 + 43*o - 124*o + 75.\nAnswer: 3*(o - 69)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*u**3 + 87*u**3 - 310*u**3 + 148*u**3.\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 263 + 29. Suppose 2*d + 3*n - 146 = 0, -2*d + 347 = 42*n - 345. What is the highest common factor of d and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + (-32)\/(-20). Let h = -4 + 4. Suppose -2*b + 4 = -h*b - k, -u*b + 4 = 4*k. Solve -z = -b*z - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.85 and -0.04 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-2))\/((-2)\/(-4)). Suppose -d + 84 = -b*d. Let w be d\/28 + (-62)\/(-40). Sort 10, 3\/2, w in descending order.\nAnswer: 10, 3\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 - 26289*d**3 - 4331877*d**2 + 26289*d + 4331880 = 0. Calculate d.\nAnswer: -8595, -168, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 - -214?\nAnswer: 211.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222210 + 210021021?\nAnswer: 211021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*4*(-4)\/(-18)*(-597)\/39004*637.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*n - 30. Suppose 5*c + 20 = c. Suppose 17 = s + 19. Put c, n, s in increasing order.\nAnswer: n, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007321067 rounded to four decimal places?\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 19531*i - 839839. Calculate b(43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -7*x**5\/60 - x**4\/24 + x**3\/6 + 3*x**2\/2 + 3*x. Let r(c) be the first derivative of p(c). What is r(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 1. Let n be t(-2). Let w be (-15)\/(-3) + -1 + 1. Solve n = -w*g - 5*a + a, -g - 2*a = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**0\/n)*n**(-3\/5)\/n*n*n*n**(-2\/15)*n**(5\/4)\/n assuming n is positive.\nAnswer: n**(151\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717052 is divided by 119496.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9897, -39584, -89057, -158310, -247337, -356132, -484689?\n\"Answer: t**3 - 9899*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*k - 138 = -2*k, 4*t = 3*k - 552. Let g = -135 - t. Calculate the lowest common multiple of g and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 4*c**2 - 2*c. Let b = -182 - -178. Determine t(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -9. Let d(z) = -z + 1. Let w(m) = -m**2 + m + 4. Let y(s) = -5*d(s) + w(s). Let r be y(j). Which is the biggest value? (a) -3 (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -766*b**2\/17 + 1056994*b\/17 + 1057760\/17 = 0.\nAnswer: -1, 528880\/383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - l**2 + 1306*l + 4. Let b be h(0). Solve -b*w + 17 = r - 0, 3*w = 3*r + 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*w = 8342 + 4035, -2*w = 2*g + 8238. Let m = -2906 - g. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*d*j**2*m - 5*d*j*m + 7*d*m + 4725*d - 662*j**3 wrt j.\nAnswer: 12*d*j*m - 5*d*m - 1986*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2 + 11*w + 8. Suppose t - 4*q = -0*t - 3, 0 = -2*t + q - 13. Let p be g(t). Let l = 198 - p. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3)*v)**38\/(v*v*v\/(v*v*v**(-2))*v)**(18\/13))**22 assuming v is positive.\nAnswer: v**(16984\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-241364)\/2908)\/(10\/5*(-3)\/(-12)*-2).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -741 or -0.0104?\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:16 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.496788 and 594.\nAnswer: 590.503212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22687390?\nAnswer: 2, 5, 11, 206249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -105*b + 109*b + 2*i, b = -3*i + 29 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -31*h - 168. Let n be z(-6). Solve 5*u - 19*t - 22 = -n*t, -3*t = 4*u - 10 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/(-768))\/((-1)\/(-6)*-1). What is the nearest to u in 5, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 9:21 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -229*h**5\/2 - 27928*h**4 + 86941*h**3 - 92110*h**2 + 71363*h\/2 - 2470 = 0. What is h?\nAnswer: -247, 20\/229, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*u - 417*u - 395*u in the form n*u + s and give n.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/321892 and 1\/5.\nAnswer: 1609460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/7))**14)**(-3\/7)*((c*c\/((c*c**(2\/5)*c)\/c))\/(c*c\/(c\/(c\/c**3))))\/(c\/(c**0*c)*c**(-2)) assuming c is positive.\nAnswer: c**(-144\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/39)\/((-5)\/(-5))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 20922840?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32702 is divided by 132.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 - 3 + 3*x**4 + 2)*(x - 3*x - 1 + 3).\nAnswer: -2*x**5 + 2*x**4 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(608)*1 + sqrt(152)\/(sqrt(4)*-2))\/(6*sqrt(8)*5).\nAnswer: 7*sqrt(19)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6896 and 206288?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) 5320 (c) -2 (d) 1 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/3)\/(((-54)\/9)\/(-6))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 69*u + 507. Let l be s(25). Solve 42*i - 50*i - l = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2520 and 7157304.\nAnswer: 35786520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57577176 minus 0?\nAnswer: 57577176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -17*n + 4. Suppose 0*s + n*u - 9 = -3*s, -3 = -s + 5*u. Suppose 61 = s*y + 10. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olln when four letters picked without replacement from ennlooloonlnnoo?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 189*z + 400. Give l(96).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*m - 472 = 928 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -2*r**3\/3 - 9*r**2\/2 + 22*r. Let o(l) = l. What is o(g(u))?\nAnswer: -4*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32)\/20 - -2)*(3199 - -6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 962, -5.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) 0.5 (c) 46750\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 13380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k - i - 51, -3*i + 147 = 3*k. Which is smaller: 47 or k?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*m - 7707 = -8967 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/11 or -128.11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -945 divided by -189.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*((-12)\/4)\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1946127 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*w - 92 = 0, -4*j - w = -2*j + 54. Let c be -4*(-3)\/(-30) + (-360)\/j. Suppose 11*f - c*f = -117. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*m + (-m - m + 5*m)*(1 - 1 - 2) + 2 + 2*m - 2 + m - 2*m + 3*m - 4 + 0*m - m - 2*m.\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 345. Calculate the common denominator of 145\/18 and (n\/30)\/((-20)\/(-6)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - c**2)*(0*c + c**2 + 0*c) - 5*c**4 + 2*c**4 + 5*c**4 + 4*c**4 - 3332*c**2 + 5642*c**2 - 3*c**4.\nAnswer: 2*c**4 + 2310*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4730 + 4730.01. Which is the nearest to -1? (a) 0.1 (b) 83 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*c + 2 = 0. Let t(b) = b**3 - b**2 - 5*b + 4. Let g be t(c). Is 2\/g - (-4 - 73) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/(-180) + 111\/(-27) + 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 - b**2 - 32*b\/5 - 36\/5.\nAnswer: (b - 9)*(b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose -m + 5*j + 5 = 0, -11*m - 6*j - 6 = -12*m. Which is the closest to 2? (a) f (b) m (c) -1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -655 divided by 131.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22315 + -83120?\nAnswer: -115435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18270 + -18272 - (0 - 125).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrp when three letters picked without replacement from {r: 2, p: 2, x: 10}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1014287\/6 or -169047?\nAnswer: -1014287\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-4))\/(10\/15). Suppose -2 = -4*a + u*w + 22, -5*a + 3*w = -27. Suppose 0 = r - a*r + 2*p + 232, -5*r = -2*p - 583. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(4\/15)*v**3 assuming v is positive.\nAnswer: v**(49\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8631 and 99.5.\nAnswer: -185.37845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.178 rounded to one decimal place?\nAnswer: 62.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 42 - 18. Suppose 2*o = 5*o - k. Let j(s) = o*s + 4 + 2*s + 2 - s - s**2. Give j(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 8. What is the units digit of g(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45860788?\nAnswer: 2, 271, 42307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7225244711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**2 + 14220*f + 42705 = 0.\nAnswer: -3, 2847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 166770238 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9620031 + -16120031. What is v rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvvhvvhddvh. What is prob of picking 2 v and 1 h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 + 0.27. Are z and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10953608998 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2646100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -54 (b) 2971 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -2.81 (c) 8 (d) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*k + 70 + 27, 4 = 4*n. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p - 4. Let d = 5 - -12. Let n = -12 + d. Let z(w) = 3*w + 2*w + 0 + 0 + n. What is -6*a(i) - 5*z(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1688.035 hours in milliseconds?\nAnswer: 6076926000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2455 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 396?\nAnswer: -1\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/3)\/((-28)\/84). Let s(c) = -13*c**3 + c**2 + 7*c + 44. What is the tens digit of s(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 1, s: 7, c: 7}. Give prob of picking 1 s and 1 l.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + ((-15)\/65*-39 - (0 + -6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140 + 265*u**2 - 5*u**3 - 215*u**2 - 21*u - 64*u.\nAnswer: -5*(u - 7)*(u - 4)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4*1)*10\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 3*l**2 + 1 - 3 - l**2 to c + n*l + k*l**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 4*q + 4, 4*q = -84*t + 83*t + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*m + 4*b, -5*m - b = -6*b - 15 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363?\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*q**4 + 2*q**3 - 109*q - 540.\nAnswer: -44*q**3 + 6*q**2 - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwdv when four letters picked without replacement from dwwwv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose 2*k - 1 = 5. Suppose -4*f = -k*h + 26, -2*f + 2 = -j*f. Solve 4*v - h = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.06 + -22639.35.\nAnswer: -22616.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 10*o - 32. Let r = 1506 - 1493. Give v(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7258804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 7*c - 62. Calculate n(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h - 6. Let p(f) = 7*f + 6. Let w(g) = -5*p(g) - 6*v(g). Let q be w(-3). Let b(d) = 2 + q - 4*d - 3. Determine b(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 + -158. Let b(z) = z**3 - 9*z**2 - 9*z + 8. Calculate the remainder when 87 is divided by b(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/12 and 149\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*n = 2993 - 9563 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)*l**(-2)*l)\/(((l**7\/l)\/l)\/(l\/(l\/((l*l**(-1)\/l*l*l)\/l))))*(((l\/l**(3\/2))\/l)\/((l*l\/(l*l\/((l*l**5*l)\/l))*l*l)\/l))**29 assuming l is positive.\nAnswer: l**(-519\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/3*(-231)\/1540*(-15)\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25268 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-5)\/(20\/28). Let z(n) = n - 3. Let x be z(c). Suppose -x*s = -6*s + 314. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 3, -2\/13, -4\/7, 44, 323?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 95 (base 16) to base 4\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18767.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -492? (a) 1\/5 (b) -3 (c) 90 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o + 5*o - o**4 + (0*o**2 - 2*o**2 + 4*o**2)*(-o**2 - o + o) + 11*o - 11*o + 7*o**4 + (-3*o**3 - 2*o**3 + 4*o**3)*(5*o - 3*o + 0*o).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1796337 is divided by 294?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/56 and -17\/812.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7666841*q + q**4 - 2 + 7666839*q + 2 - 3*q**4 - 1688*q**3 to v*q + o + w*q**3 + x*q**2 + b*q**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1251779724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*j = -f - 662, -3*f - 4*j = 963. Let y = -161 - f. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 26. Let i = 144 + -126. Calculate the greatest common divisor of i and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -743, -1, -2.\nAnswer: -743, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 110 and 125 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 174008577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**3*n**3 + 2*a**3*n - 101*a**2*n**3 + 3*a**2*n + 44*a wrt n?\nAnswer: 48*a**3*n - 606*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/325 (b) -5\/18 (c) 4 (d) 1\/10 (e) -0.238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + (1*sqrt(65)*-5 + sqrt(65) - sqrt(65)) + sqrt(65))\/(sqrt(35)\/sqrt(112)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 363 + 4d66?\nAnswer: 51c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2 - 99507*q + 39031452 = 0. What is q?\nAnswer: 397, 32772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 10*y**3 - 26*y**2 - 7*y + 6. Determine g(4).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 64*v + 37. Let b be y(22). Let d be (2\/(-3))\/((-18)\/b). Solve 4*x - 11 = -d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 10:28 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 75*l - 74. Determine j(-41).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9100 divided by -2275\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -176*n - 772. Let j(m) = 72*m + 385. Let a(z) = -5*j(z) - 2*p(z). What is a(-48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2. Let m = 20 - 18. Let z(d) be the first derivative of -8 + 0*d**m + 19 + d**2 - 2*d**2. What is z(o(j))?\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -399*q**3*t + 67*q**2 + q*t - 4*q wrt q.\nAnswer: -2394*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.21 + 0.296. Let u = o + -0.716. Let s = 0.26 + u. Round s to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - 1) + (34 - 30).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 + 164. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10118 at most 70825\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(-2)*l)*l*l)\/(l**(-6)*l*l)*l**(4\/13)\/(l\/(l**7\/l)*l*l) assuming l is positive.\nAnswer: l**(134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 - 5*r - 10. Let j(t) = 20*t**2 - 14*t - 28. Let x(l) = -5*j(l) + 14*s(l). Let n(w) = 39*w + 2. What is n(x(v))?\nAnswer: -78*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -1 + 0 + 2*c - 43*c**2 + 22*c**2 + 22*c**2. Let x be b(1). Suppose 4*z - 3 = 1. Put z, x, -2 in descending order.\nAnswer: x, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3883864434 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-240 + 272 - (-13 + -2) - 10).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 6*h**2 + 257 - 256 + 0*h**2. Give s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -33, 2\/285, 1\/2, 2, 1\/5, -3\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufwfgqqg. Give prob of picking 1 u, 1 g, and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 29*i + 10*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43503156 rounded to 2 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 36*h - 129. Let c be z(12). Solve 16*a - 11*a + c = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-13) - 50\/(-13). Suppose 15 = 5*y, z = -o*z - 2*y + 16. Let w = -5 - -13. Solve z - w = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -22*b**2 - 11 - 9 + 13*b - 13*b + 27*b**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*r - 3 = 0, 4*r + 14 = -5*u + 18 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 21*v**2 + 32*v - 147. Calculate o(18).\nAnswer: 1401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 34 = 16*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1059532mm to micrometers.\nAnswer: 105.9532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-700))\/(85\/(-40) + (-14)\/(-14))?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 610 divide 140261570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722*i = -458*i + 48380 for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -5*h**2 + 1\/30*h**5 + 0*h**4 + 0 + 0*h**3 + 0*h. Let o(p) be the second derivative of -p**3\/2 - p. What is b(o(z))?\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -330550 - -2?\nAnswer: -33054a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58375, -116796, -175229, -233680, -292155, -350660?\nAnswer: -409201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - y - 2*y)*(-162 + 287 + 312 + 374).\nAnswer: 811*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1232000 - -2213412?\nAnswer: 431412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293530*q**3 - 3*q**2 - q - 2251?\nAnswer: -1761180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y + 36. Let m be a(11). Is -14 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**2 + 20*m + 3. Let u be g(-3). Let o be -10 + u + (-2)\/(2 + 0). Suppose 4\/3*t**2 + 32*t**o + 0 + 0*t + 12*t**3 + 64\/3*t**5 = 0. Calculate t.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r - 110 = 32*r. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjee when four letters picked without replacement from rrjjrjrrejje.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5435254*6.\nAnswer: -32611524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkaakojklaoa. Give prob of picking 1 k, 1 j, and 1 l.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123861 is divided by 123848.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w - 51. Let c be t(-30). Solve 3*m - c = 6, 5*l - 5 = m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y - 411 = -495. Solve -28*w = y + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -94, -0.3, 6, -2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rppr when four letters picked without replacement from rpppppprpprrppppppr?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*-2)\/(40\/100)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 122*q**2 + 2. Let s be t(-1). Let a = 128 - s. Solve 4*h = a*j - 17 - 15, -j = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 16*y - 26. Let m(j) = j. Let w(i) = -4*m(i) - u(i). Let c(d) = -7*d + 9. Let t(x) = -17*c(x) + 6*w(x). Let o be t(-3). Solve -a + o = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 0, 4*o - 202 = -5*p + 156. Suppose p = -4*s + 518. Suppose 128 = 4*j - s. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 9*s - 8. Let c be a(6). Let f = c - 8. List the prime factors of (f + 27\/(-3))*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 2 + 3 + m - 3*m**2 + 4*m**3 + 2. Does 30 divide r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8234*f - 3885*f - 8733*f + 836*f as v*f + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**4 - b**3 - 3 + b**2 - 1 + 33*b**3 - 32*b**3 as m*b + y + r*b**3 + g*b**4 + a*b**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89668330 by -2762.\nAnswer: 32465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*w = -4463 + 867. What is the remainder when 3131 is divided by w?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from wwxxwwwxwxxxxxxxxx.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:06 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 212536477.\nAnswer: 212536466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 52*r + 81. What is the least common multiple of g(-27) and 471?\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 891 + -888. Let f(p) = -4*p**2 - 3*p - 3. Let k(z) = -49*z**2 - 35*z - 35. What is o*k(h) - 35*f(h)?\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4686477 + -2605.\nAnswer: 4683872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 323522.78 to the nearest one hundred.\nAnswer: 323500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-7) - (-66)\/14. Let w(y) = -y**3 - 4*y**2 + y + 8. Let q be w(-4). Suppose d + q*g + 6 = 0, 5*g + 6 = k*d - 14. Solve 0 = d*z + 2 - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + v**2 + 3*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 = 3*g, -g - 7 = z - 6. Let h = 3.8 - 3. Let w = 0.2 + h. Is z < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 16, 5*l + 5*v + 486 = 21. Let h be 5\/20 + 2\/8*l. Does 3 divide (8\/1)\/(-1 + h\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1872) + 1 + (5*sqrt(1872) - sqrt(1872)) + -2*(sqrt(1872) + -2)))**2.\nAnswer: 360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) 0.1 (c) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-9)\/(-180)*-5*-11.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1280, -2558, -3836, -5114?\n\"Answer: -1278*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-7))\/(4488\/(-2856))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 10*g - 170. Let h(q) = q**2 - 8*q + 136. Let v(b) = 5*h(b) + 4*w(b). Let x(z) = 3*z**2 - 79*z. Give x(v(u)).\nAnswer: 27*u**4 + 237*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 996905?\nAnswer: 5, 7, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5511 take away -3?\nAnswer: -5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let i(o) be the second derivative of 0*o**2 + 3*o + 1\/12*o**4 + 0*o**3 + 0. Determine i(g(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1317*b + 5436 = -864*b. Solve -39*y + b*y - 27 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ombd when four letters picked without replacement from {m: 1, p: 5, d: 2, o: 5, b: 2, t: 5}?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123236077.3 rounded to the nearest 1000000?\nAnswer: -1123000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + -1330232?\nAnswer: -1330101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2870 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 0. Suppose j*r = -5*z + 55, 3*z - 69 + 18 = -3*r. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1073829?\nAnswer: 3, 263, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*c - 105*c - 863*c**2 - 656*c**2.\nAnswer: -1519*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82923.84 millennia in centuries?\nAnswer: 829238.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owjbofb. What is prob of picking 1 w and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24224 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4*k - 42, -4*i = -3*i - 2*k - 12. Suppose 0 = -i*t - 3*t + 54. Let b be 9 - 3 - (2 + -2 + 4). Solve b = 2*a + t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810\/724*4\/6*6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from paufabt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c1 (base 14) to base 13\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-151)\/(28992\/(-288))*(-10)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -7*z + 15. Suppose 0 = -p + 5*i + 18, -3*p + z*i = 1 - 25. Calculate the least common multiple of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(12) + -5)*-5)**2.\nAnswer: -2000*sqrt(3) + 3700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -1\/2*b**3 - 7*b - 9\/2*b**2 + 0. Calculate the remainder when 88 is divided by i(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 237020*g**3 + g*q**2 + 1426861*q**2 wrt g?\nAnswer: 711060*g**2 + q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5321 - 10181. Which is bigger: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.6 - 0.2?\nAnswer: 105.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 54769*y + 1259742. Determine n(-23).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -404, -391, -380, -371, -364, -359?\n\"Answer: -h**2 + 16*h - 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99.78671 litres?\nAnswer: 99786.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcpp when four letters picked without replacement from wppppccpppppwpppw.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*r - 36, -263*q + 56 = -269*q - 4*r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 3324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-6) - 3\/6. Let r be 20 - 2 - (-1 + 1). Let n be ((-18)\/(-16))\/(r\/(-24)). Which is the closest to z? (a) 2 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44763, 44723, 44683, 44643, 44603?\nAnswer: 44563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 46 = -2*u, 2*i - u + 151 - 44 = 0. Let s = 37 - i. What is the remainder when s is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njn when three letters picked without replacement from nnvjocj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*1 + sqrt(192) + -1.\nAnswer: -1 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42874 by -13.\nAnswer: 3298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194 - 191. What are the prime factors of x\/((-9)\/(-2))*(135 - 0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 76\/(-7 + 3). Suppose 8*u = 7*u + t. What is the greatest common factor of 21 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2650*r + 15100 + 12285 = 2847*r + 5397 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1400040 (base 6) to base 9.\nAnswer: 127626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 13 = 1. Suppose -s*c - 570 = -5*q, -c = -q + c + 120. What is the highest common factor of 44 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1566*l**2. Let z(h) = -109*h**2 + 2*h. What is z(m(r))?\nAnswer: -267306804*r**4 + 3132*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 5*n + n**2 - 5*n - 2*n**2 - 1 + 1 + (-3 + 3 - 2*n**2)*(-2 + 2 - 2) in the form z + s*n + i*n**2 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:40 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2452, -22868, -79202, -189412, -371456?\n\"Answer: -2993*s**3 - s**2 + 538*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 1:43 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 712*d**2 - 270*d**2 + 428*d**2. Let o(c) = 2*c**2. What is o(t(h))?\nAnswer: 1513800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, c: 3, q: 3, w: 3, n: 3, i: 1}. What is prob of sequence mww?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**5\/130 + d**4\/39 + 32*d - 6. Let p(b) be the first derivative of c(b). Solve p(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 + 11. Let g = o + -3.9. Let h = -10 + 5. Sort h, g, 4.\nAnswer: h, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.98 + -1.81. Let d = 0.89 + p. Let x = -6 + 4. Which is the closest to 2\/7? (a) 0 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p - 2. Suppose -4*k + 76 = 4*i, -k + 5*i = -0*k - 37. Let q be k\/(-4) + 2\/4. What is the units digit of x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -37\/45217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s. Let u(d) = -6955*d**2 + 11830*d - 455. Let b(v) = 61*v**2 - 104*v + 4. Let i(k) = 455*b(k) + 4*u(k). Give i(l(h)).\nAnswer: -2340*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**6\/120 - k**4\/24 + k**3\/3 + 2*k. Let n(v) be the second derivative of b(v). What is the first derivative of n(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216) - (sqrt(216) + -4*sqrt(216))) + sqrt(216))\/sqrt(9))\/(-2*sqrt(24)\/sqrt(3) - sqrt(8)) + 5.\nAnswer: -5*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*t**4 - 22*b*t**3 + 22*b*t - 3*b + 31*t**4 + 3*t**2 + 4 wrt t?\nAnswer: -48*b*t - 132*b + 744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**19)**(4\/21)\/((t*(t*t**(1\/71)*t)\/t)\/(t*t**(-22))))**(-13) assuming t is positive.\nAnswer: t**(170846\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 - 99.1. Let r = 10.1 + v. Which is the closest to 0.1? (a) -6 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54471873\/4 <= -13617968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -832, -1371, -1938, -2533?\n\"Answer: -14*b**2 - 497*b - 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1197*a**4 - 38722697*a**3 - 507*a**2 + 38722697*a**3 wrt a?\nAnswer: 28728*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000041459403 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/20 - ((-4 - 26) + 6 - -5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 28.52, 3, 1, 6, -3\/2 in descending order.\nAnswer: 28.52, 6, 3, 1, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/6 - 1\/2. Let z be -2 - -2 - (0\/(-1) - -1). What is the closest to z in h, 2\/13, 3\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q - 187. Let d be t(0). Let u = 377 + -71. Let i = d + u. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 261, 260, 259, 258?\n\"Answer: -p + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 10*l**2 + 5*l**2 - 2*l - 18*l**2 + 2 + 3*l + l**3. Suppose -4*k - k = -10. Determine q(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -14. Let x(g) = -2*g + g**2 + l*g + 0*g**2. Let o(t) = 2*t + 11*t + 7*t + 0*t. Give o(x(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 726773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47308237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 25*d - 22. Let t be k(21). Let m = t - 27. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3\/4 - 11163*h**2\/2 + 53638323*h\/4 - 10238689200 = 0. Calculate h.\nAnswer: 1600, 2921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 4. Let h be f(8). Let p = 9 - 3. Let t(k) = -3*k + h + p*k - 2*k. Calculate t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3 + 148572*j**2 + 594324*j + 594336 = 0. What is j?\nAnswer: -2, 49528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/54704 and 43\/2310.\nAnswer: 63183120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 28, -10, -20 in increasing order.\nAnswer: -20, -10, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*k = 196*k + d + 5, k = 5*d - 7 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7121.135 days?\nAnswer: 615266064000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 12253.11?\nAnswer: 12251.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 884, 881, 878, 875, 872?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.143+416\nAnswer: 416.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6405 + -6405.3. Which is the closest to 1? (a) d (b) 578 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53451230?\nAnswer: 2, 5, 7, 17, 44917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1878, -1863, -1866, -1893, -1950, -2043?\n\"Answer: -y**3 - 3*y**2 + 31*y - 1905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 750685301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 2*m - 5. Let j be v(4). Find the second derivative of 0*x**2 - 8*x**2 - 14*x**j + 8*x**2 - 13*x wrt x.\nAnswer: -84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**4 - 2*s**4 + 2*s**4)*(-6*s + 4*s + 0*s) + 152*s**5 - 4*s**3 - 150*s**5 - 4*s**3.\nAnswer: -6*s**5 - 8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 - 210*m**4 + 5184*m**3 + 17496*m**2 = 0?\nAnswer: -3, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*p - 29 + 13 = 0, -38 = 4*w + 2*p. List the prime factors of 16347\/39 - w\/(-78).\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1105153, 1106378, 1107603, 1108828?\nAnswer: 1110053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -636*v + 15 = -641*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p. Let d be s(10). Suppose -4*m = -d - 34. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 5*z**2 - z - 1. Let l be (-17)\/3 + 2\/3. Let d be p(l). Let u(r) = -100 - r + 96 - r**3 + 3*r + 3*r**2. What is u(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 = d. Let l(f) = -f + 2. Let z be l(d). Suppose 3*v + 4 = 2*g, -1 = g - z*g - 3*v. Do g and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = q + 2*m + 20, -2*q + 5*m - 37 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 17*q**2 + 22*q + 33. Give r(-18).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**9\/30240 - d**8\/10080 - d**7\/2520 + d**6\/360 + d**5\/60 + 3*d**2. Let b(j) be the third derivative of g(j). Factor b(u).\nAnswer: 2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442.5567322 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 886.7477 milligrams in micrograms?\nAnswer: 886747.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 4*q**2 - 6*q - 12. Give r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/26 - 109736\/1066156. Is 0 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 139 = -11. Let m(q) = -87*q**2 + 2*q + 3. Let o be m(-1). Let f = -26 - o. What is the greatest common divisor of f and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waa when three letters picked without replacement from aawwwwawwwwwwww?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 486\/5, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((6\/(-5))\/2). Let q be 9\/189*12 - 20\/(-42)*3. Solve 0 = q*k - 0*k + 4*i + 24, -k - 27 = a*i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(10\/(-4)) - (-11 + -7). Suppose 0 = m*p - 3*p - 8203. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f + 80. Let y be g(0). Suppose 208*r = 304*r. Suppose r = -5*t + 4*z + y, 48 = 3*t + 3*z - 8*z. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of 0*v**6 + 0*v**7 + 0 + 11\/84*v**8 + 0*v**4 - 1\/6*v**3 + 0*v + 1\/30*v**5 + 32*v**2. Find the third derivative of z(g) wrt g.\nAnswer: 2640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 488759927 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 1. Let f be v(-1). Let l = 516 + -273. Let b = l + -241. Is b >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-6)*0 - -18. Suppose -133 = 6*u - 997. Calculate the greatest common factor of k and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*z**3 - 995*z**2 - 227733*z wrt z?\nAnswer: -30*z - 1990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, -377 in ascending order.\nAnswer: -377, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -110, -273, -584, -1091, -1842, -2885?\nAnswer: -4268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -91259.3574 rounded to the nearest ten?\nAnswer: -91260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21103?\nAnswer: 47, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/sqrt(125) - (-2*sqrt(245))\/sqrt(7))\/((sqrt(7) - ((-1*sqrt(70))\/sqrt(10) + sqrt(7)))*-4).\nAnswer: -11*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 t when four letters picked without replacement from {p: 4, r: 13, t: 3}.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8258500 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68975677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 9*v**2 + v + 11. Let y be i(-9). Suppose 0 = -15*j + 11 + 79. Solve -y*z + 4 = j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63910 and 6512?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 876587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-8))\/(k\/k**(-11)) assuming k is positive.\nAnswer: k**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 68040?\nAnswer: 272160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - t + 2*t + 24, 5*i + 3*t = 28. Is 5 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.39109ug in tonnes?\nAnswer: 0.00000000001239109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 948322 or 948017?\nAnswer: 948322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 divided by 1?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let c = 1 - m. Let b = c + 7. Solve -8 = -u - b*v + 9, u = -v + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 1155?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -450 + 0?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.269775g?\nAnswer: 5269.775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(40) - sqrt(40))\/((-1*sqrt(40))\/sqrt(5)).\nAnswer: -11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * -47.\nAnswer: 3.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12883 = -4657. Suppose -28*j + 32*j = w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 288747 = 288746 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*f - 69*f + 201*f.\nAnswer: 263*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*w - 3*p, -p = -5*w - 2 - 1. Let t(l) = 1. Let g(d) = d**2 - d. Let c(a) = -g(a) + t(a). Determine c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 55148 + 1548. What is a rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.4509 + -8?\nAnswer: 178.4509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 + 5*h**3.\nAnswer: -5*h**3*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001379333 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 10 = -5*i, 0 = -4*a + 7*i - 8*i - 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**4 - 9474*g**3*o**2 - 4*g**2*o + g**2 - 2692*o**2 wrt g.\nAnswer: -48*g - 56844*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 27531?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -267, -230, -175, -96, 13?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12179653 is divided by 869974.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -2. Let j be h\/6*9\/(-30). Which is the third biggest value? (a) j (b) 0 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2321114 - -120?\nAnswer: -2320444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 2 - 8*g - 30.\nAnswer: -8*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 3*f**5\/5 + 5*f**4\/4 - 123*f**2 - 159. What is the second derivative of d(q) wrt q?\nAnswer: 36*q**2 + 30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 2*d - 3. Let t be (-52)\/(-39)*(-45)\/(-20). Let a(o) = 2*o + 4. Determine t*a(x) + 4*g(x).\nAnswer: 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*c + 334 - 581 - 1657 = 1008 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*a + 6 + 42 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 161799 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -28, -45, -66, -91?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434 is divided by 121.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, 1 i, and 1 g when four letters picked without replacement from gkkqjqjhi.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 10:23 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-21)\/(-140))\/(18\/(-15)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 14*k - 9415 = 12*k, -7532 = -4*b + 4*k. What are the prime factors of b?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 2*g**2 + g. Let b be c(-3). Suppose 0 = -5*y - b + 56. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 169522\nAnswer: 169522.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 386469180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -78712 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 256747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*51\/(-238)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 14 + 11*o**4 + (15*o**3 - 4*o**3 - o**3)*((o + 1 - 1)*(-4 + 1 + 2) + 7*o - 6*o + 2*o).\nAnswer: 31*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1131\/(-468) - 2\/24\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68685 less than 68685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 939\/(-5634) + 33\/6 + 0?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 13*t**2 - 10*t - 8. Let i(v) = -11*v**2 + 9*v + 8. Calculate -7*i(k) - 6*l(k).\nAnswer: -k**2 - 3*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -2) + (-2 - -13) + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1259.60362 and -1.\nAnswer: 1258.60362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**(4\/5)))**(-24) assuming j is positive.\nAnswer: j**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 6*k + 3. What is the smallest common multiple of m(6) and 23?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 190*w + 16. List the prime factors of o(1).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524380.9ng to micrograms.\nAnswer: 524.3809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-63) + (-4)\/(-14). Suppose 2*x + 5 - 3 = j. Let b be (-31)\/(-62)*(0 - 10). Sort b, x, -2, 0 in decreasing order.\nAnswer: 0, x, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10711241?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 26 - ((-1 - 1) + -32 + 16) - 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -40. Suppose -10*f = 5*f - 7515. Let g = -462 + f. Calculate the lowest common multiple of g and s.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 - 0.513.\nAnswer: 17.487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Let i = -0.6813 - -0.9813. Which is the third biggest value? (a) -4 (b) 0.14 (c) x (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 13*n**2 - 75*n - 14. Calculate y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39828, 79622, 119428, 159252, 199100, 238978?\nAnswer: 278892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000084862 rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let p be (-2)\/(-9) + -2 + 0 + 35\/45. Let s be -1 + (-2 - -1)*1. Let t(i) = 2*i**2 + 1. What is p*t(l) + s*o(l)?\nAnswer: -2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -26 + 896\/35 + (-2)\/5. Sort j, -8, 0.1, -2 in descending order.\nAnswer: 0.1, j, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**28))\/(j**14\/j))\/((j*j*j*((j**(-2\/73)*j)\/j)\/j*j)\/j*j**(-9\/7)\/j))**(3\/7) assuming j is positive.\nAnswer: j**(-62373\/3577)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -10 - 19 - (-1 - -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4*a - 5170, 3*v + 40*a = 37*a + 15528. What is the thousands digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221974485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3607*r - 3607*r + 7215*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3786588761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14155693?\nAnswer: 59, 67, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 10 = -d, 5*d = -3*n + 2*d + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.67, 0, -0.06643 in decreasing order.\nAnswer: 0, -0.06643, -2.67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 1. Let j = 3113 - 3097. What is the nearest to j in v, -0.3, 1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/45 + 37\/3. Let d be 2\/(-6)*z\/(6\/3). What is the units digit of d\/10 - (-4)\/(-10)*-83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1408 * -98.\nAnswer: 137984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 35*u**2 + 1. Let o(j) be the third derivative of j**5\/15 - 1604*j**2. Determine o(v(x)).\nAnswer: 4900*x**4 + 280*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 - 0.07. Let i = -10.904 - -0.904. What is the biggest value in 1\/2, i, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + sqrt(104)*-2 - sqrt(104))*5 + sqrt(104))\/(sqrt(1000)\/sqrt(5)).\nAnswer: -9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-425) - 2\/15. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 11366469.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -30*c**2 + 66*c**2 - 35*c**2. Let g(q) = -120*q - 15. Let z(p) = 17*p + 2. Let a(n) = -4*g(n) - 30*z(n). Give a(w(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 9 + 41. Calculate the greatest common divisor of p and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 16*s**2 - 27*s - 30. Let d(b) = 9*b - 165. Let j be d(16). Is x(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - 55. Suppose 0 = 5*m - 5*l - 885, -p*l = 6*m - 4*m - 366. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**2 + p + 3. Let d(c) = -16*c**2 + 10 + 0 + 4*c + 6*c**2. Let g(q) = -7*a(q) + 2*d(q). What are the prime factors of g(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54932675 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyoyoogyoy. Give prob of picking 1 o and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -10*h + 0*h**2 - 5*h - 8 - h**2 + 6*h. Let n(q) be the first derivative of q**2 + 2*q - 1. Calculate 9*n(l) + 2*s(l).\nAnswer: -2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 20*z**3 + 3*z**2 + z. Let p(w) = w**3 - w**2 - w. Let q(x) = -l(x) - p(x). Find the third derivative of q(g) wrt g.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131296650*t - 381175933?\nAnswer: 131296650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - 5. Let v = 6 + o. Which is smaller: -0.06 or v?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 3*a**3 + 4*a**2 - 7*a**2 - 78.\nAnswer: 3*a**3 - a**2 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5354 * -10.\nAnswer: -53540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g**2 - 3*g**2 - 25 + 26. Let m be ((-8)\/(-6))\/(3\/(-9)). Calculate the remainder when 33 is divided by t(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -384449 - -0.006392692\nAnswer: -384448.993607308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 168133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 - 16 - 10 + 26.\nAnswer: 11*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (246\/738)\/(1\/(-2)*2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-12)*(1 + 3). Suppose 3*y = -0*b + b + 10, -4*y = -v*b - 16. Suppose y*r = 3*n + 756, r - 3*n - 420 + 45 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -2. Let s = -55.194 + 60.194. Which is the smallest value? (a) -4 (b) s (c) x (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 x, and 1 s when three letters picked without replacement from {x: 2, w: 3, u: 5, s: 9}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/247 + (-12)\/1368*-344*3\/10?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 848, 7273, 24848, 59147, 115744, 200213, 318128, 475063?\nAnswer: 676592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-10\/3)*a*a**(-1\/4))**(-2))**(-23) assuming a is positive.\nAnswer: a**(-437\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 178 + 6697*c - 93.\nAnswer: 6697*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -17. Calculate the common denominator of ((-29)\/30 + 1)*93 and (x\/(-216))\/((-5)\/(-1370)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 - -0.08. Let h = 48 + -44.99. Let t = h - r. Which is the smallest value? (a) t (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1497 divide 654054839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12114816 divided by -6?\nAnswer: 2019136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-607 - 466 - 381 + 177 + 213)*(3*u**3 - 8*u**3 - u**3) as q*u + w*u**2 + d + n*u**3 and give n.\nAnswer: 6384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49262.\nAnswer: 2, 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 261 and 2436?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + -10 + 0 + -4. Let d(f) = 3*f**2 - 8*f + 7. What are the prime factors of d(y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 529009 (base 13) to base 5\nAnswer: 443331434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(121)*3)\/(sqrt(539) + 3*((-1*sqrt(539) - sqrt(539)) + sqrt(539)) + sqrt(539)))**2.\nAnswer: 99\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.012? (a) 8 (b) -0.03 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 5*v + 2. Let w(u) = -u**3 - 9*u**2 + 22*u - 2. Let r be w(-11). Let z(h) = -3*h**2 + 6*h - 3. Let d(q) = r*z(q) - 3*i(q). Factor d(m).\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from nknnvnnknnkkkwcncw?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111269*b**2 - 111265*b**2 + 222542*b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/27 - -122\/189. Let b(d) be the first derivative of 10\/21*d**3 + w*d - 9\/7*d**2 - 2\/5*d**5 + 3 + 9\/14*d**4. Determine q, given that b(q) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 4)*(0 + 3 - 1)*(t - t + 5*t).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87269680 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 2682*l - 2685.\nAnswer: 3*(l - 895)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59152405*k**3 + 2*k*t - 3163910*t - 2 wrt k?\nAnswer: -177457215*k**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4602 and 108147?\nAnswer: 216294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 618, 1238, 1856, 2472, 3086?\n\"Answer: -n**2 + 623*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7671*f - 127269 = -516668 + 69294 - 339601 for f.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4242 - -21?\nAnswer: 4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**5\/4 + 33*r**4\/4 - 255*r**3\/4 - 289*r**2\/4.\nAnswer: -r**2*(r - 17)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:26 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/(-18))\/(2*(-2)\/24). Let u = 190\/21 - g. Which is the nearest to u? (a) 0.4 (b) -1\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728932043.\nAnswer: 7, 107, 773, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.170773 - 108123?\nAnswer: -108103.829227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96788081?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58.278 - 4.278. Let b = -914.7 + 969. Let y = b - a. Sort 5, y, 6 in decreasing order.\nAnswer: 6, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -73, 764, 3011, 7364, 14519, 25172?\n\"Answer: 116*x**3 + 9*x**2 - 2*x - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 80962.01 - -4.6\nAnswer: 80966.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255211580 and 3835.\nAnswer: 3835","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -41\/140*a**5 - 10\/7*a**2 + 1\/105*a**6 + 0 + 127*a + 41\/42*a**3 + 3\/14*a**4. Let u(w) = 0. What is w?\nAnswer: -1, 1\/2, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 12, r: 5, f: 1}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 0. What is the remainder when 8 + 2 - (-30)\/(-10) is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/22)\/((-805)\/(-35420))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qnykmqimmynnimmk.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/9 = -205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(75) + 0.\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/4)\/((-30)\/48). Sort d, -1\/3, 4 in ascending order.\nAnswer: d, -1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20221?\nAnswer: 73, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3101 - 126714848?\nAnswer: -126711747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*v + 135 = 3*c, 2*c - v - 67 = 0. Let i be (-3)\/(c\/(-12) - -2). What is the remainder when (-8)\/(-1) + (8 - i) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 2*h**2 + 3*h + 3. Suppose 4*o + z - 48 = 4*z, -2*o = -2*z - 26. Let p = -6 + o. Calculate the remainder when 4 is divided by u(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 5*z**2 + 8*z + 5. What is the units digit of j(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/126*-7)\/((-4)\/(-18)). Let d(w) be the first derivative of j + 0*w - 1\/2*w**2. Let g(u) = 7*u. Calculate d(g(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.32 + 0.32. Let q = 72.360838 - 12.360508. Let w = f + q. Round w to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12033336 divided by 13976?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -6. Let k be (-5)\/p*9\/3. Suppose -41 = x - k*x + 3*o, 0 = -4*x - o + 45. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 2:37 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:50 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8204 and 105637.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 != 175.288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62363*a - 62342*a - 61926*a + 186633*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -557 in -26, 0.1, 2, 14\/5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17840 * -6\nAnswer: 107040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2030310 (base 4) in base 8?\nAnswer: -21464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -3*r + 0 - 1\/3*r**4 + 0*r**2 - 1\/2*r**3. What is the second derivative of x(o) wrt o?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Let x be 4\/(-3) + 14\/42. Is x > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 16) to base 11.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a week?\nAnswer: 756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -766*z. Let k(o) = -8124*o. Calculate k(s(u)).\nAnswer: 6222984*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from {a: 8, k: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 0 + 0*j**2 - 3*j - 1\/2*j**3. Let h(g) = -2*g**2. Give c(h(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7125?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.433 and -1203.7?\nAnswer: 1204.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25\/(3 - 48\/18) and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -450003?\nAnswer: -450004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*k - 154 = 8*t, 3*k = -2*t - 66. Let q be (-7)\/4 - t\/40. Which is the nearest to -2\/11? (a) q (b) -2\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46228 is divided by 1299.\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kakkkkkkkaak?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8136766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/33 - (-2)\/11. Let x be y\/(-6) + (-1)\/3. Solve -2*m - 8 + x = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5 = 3*a + 14, 0 = -5*o + 2*a + 13. Let y = -13 - 64. Let d be 11*((-126)\/y)\/9. Solve t - d*s = -9, 2*t + 3*s + o = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2187100874 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12529 = f - 734, 2*f = 2*r - 26526. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.592 - 0.992. Which is the closest to -1? (a) 0.3 (b) t (c) -0.21 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 877 + -509. Let n = j - 401. Are n and -33 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(2178)\/sqrt(9))**2.\nAnswer: 22*sqrt(2) + 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3aba (base 13) in base 3?\nAnswer: 102120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okkxxo. What is prob of picking 1 k and 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 39 - 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 - (1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 17, 1, 4, -3 in ascending order.\nAnswer: -5, -3, 1, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.6491 and -0.5?\nAnswer: 5.32455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 2, 12\/13, 23, -2?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23335 (base 7) to base 16.\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 600 and 132.\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 508. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-130) + 2)\/(1*(-15)\/102)\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16281*u + 48789. Calculate f(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. Let i = -117 + 117. Suppose i = 4*l - 6*l + z. Solve -l*a - 4 = 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.1872 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.13006592 rounded to four decimal places?\nAnswer: 1.1301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0 - 1\/6*j**3 - j + 7\/2*j**2. Suppose -4*x + 27 = -z, 23*x - 156 = -4*x + 3*z. Let v(q) = 1. What is x*v(a) - s(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 62*q**3 + 2*q**2 + 34*q - 6. Let s(d) = 21*d**3 + d**2 + 12*d - 2. Determine 6*j(b) - 17*s(b).\nAnswer: 15*b**3 - 5*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -30.9. Let c = k + 30. What is the closest to 0 in 0, c, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33185727.\nAnswer: 3, 73, 113, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4385, -10021, -19415, -32567, -49477, -70145, -94571?\nAnswer: -122755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 38*h**2 - 3*h - 38. Let o(r) = 4*r**2 + 5*r + 1. Let d be o(-2). Let w(n) = 75*n**2 - 7*n - 75. Let g(m) = d*z(m) - 3*w(m). Differentiate g(j) wrt j.\nAnswer: 82*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h - 57*h = 4*n - 12, 2*h = -5*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -967 * -6.\nAnswer: 5802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1164771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (0 - (4 + 6)) - 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 3. Let w(u) = -u**2 + u - 1. What is a(n) + 4*w(n)?\nAnswer: -4*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5196995?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80801, -80800, -80799, -80798, -80797, -80796?\n\"Answer: k - 80802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 11 = 3*w, -33*w - 12 = -29*w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((14832\/(-36))\/((-4)\/(-2)))\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + 0*h**2 + 0*h**2)*(-5*h + 6*h - 2*h + (4 - 2 + 2)*(-3*h - 9*h + 6*h)*(-1 - 1 + 1)).\nAnswer: 23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6461146427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -4 + (-2 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -11)\/(0 + 1). Let i = 5 - y. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 738492 and 28290.\nAnswer: 84926580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-162) - (-4)\/18\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124\/(-28) + 12\/28. Let s(f) = f + 4. Determine s(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (45\/20)\/(-9) + (-10719)\/(-42588). Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)\/(w\/(w\/((w**(-8\/15)*w*w)\/w))*w))\/(w\/(w*w**(-7))*w**(-1\/37)) assuming w is positive.\nAnswer: w**(-8014\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1348*l + 3603*l + 2667*l + 1020812 for l.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 at most as big as -10875\/124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and -159338.\nAnswer: 5098816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29021942 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 20. Calculate the remainder when ((-6)\/(-9))\/(q\/(-237)) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 3, -1\/3, 2\/3 in descending order.\nAnswer: 3, 2\/3, 0.5, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 37, 81, 135, 205, 297, 417, 571, 765?\n\"Answer: x**3 - x**2 + 40*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 0 + 8 - 31*y to the form k*y + d and give k.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 12. Let r be i(3). Let w(v) = -v + 9. Let f(d) = -5. Suppose -7*l - 15 = -4*l. Determine l*f(u) + r*w(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {g: 1, w: 2, q: 4, n: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s - z = 52*s - 10, -z = 4*s + 17 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -2 - -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(4*1\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (1 + -4*4\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.48205 nanometers in millimeters?\nAnswer: 0.00000148205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67179127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -234968 smaller than -234970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1006 or 944?\nAnswer: 944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2163 (base 11) in base 3?\nAnswer: -10220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4495526 - 3?\nAnswer: -4495529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v**3 + v**3 - 141*v - 5*v**2 + v**3 - 6*v**3 - 16*v**2 wrt v.\nAnswer: -6*v - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -13. Let k = 17.3 - h. Which is the nearest to 1? (a) k (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11923, -12013, -12103?\n\"Answer: -90*b - 11833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + s - 68, -y - s + 7 = -5. Suppose -3*n = -103 - y. What is the remainder when 152 is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**6 - 84*r**5 + 14*r**2 + 61.\nAnswer: 240*r**3 - 5040*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5477, -10987, -16497, -22007?\n\"Answer: -5510*a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 35508*i + 440. Let w(g) = 2029*g + 25. Give -5*b(x) + 88*w(x).\nAnswer: 1012*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -213, -340, -467, -594?\nAnswer: -721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*(-39)\/(-130) - 1120\/(-62)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(102) + -1*sqrt(102)*-3))\/(((sqrt(600) - 1*sqrt(600)) + sqrt(600))*1).\nAnswer: 2*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6155202 is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 27*h - 7. Let w(f) = -2*f**2 - 14*f - 3. Suppose -10*o - 21*o + 24 = -43*o. Determine o*t(n) + 5*w(n).\nAnswer: -2*n**2 - 16*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6178*y**3 - 1820*y**3 - 2839*y**3.\nAnswer: 1519*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1057838006.\nAnswer: 2, 528919003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 12 - (-5)\/(30\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -173.3291924?\nAnswer: 169.3291924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 3\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77441, -77444, -77447, -77450, -77453, -77456?\n\"Answer: -3*u - 77438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 135 = -c. Let y(n) = 22*n - 368. Let u be y(20). What is the highest common divisor of u and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -229\/1273 + 5\/67. Let y be (-2 - 168\/(-30))*10\/6. Suppose 1 = j, -o + 3*j + y = j. Which is the third biggest value? (a) -3 (b) 3\/5 (c) o (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*2 - 3. Let a be q + 43 + 2\/2. Let y = a + 1. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - 6 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24\/119 (b) -21\/11 (c) -156 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15665 (base 13) to base 3.\nAnswer: 2001202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - -2. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73, -258, -555, -958, -1461, -2058, -2743?\n\"Answer: d**3 - 62*d**2 - 6*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by (-2)\/(-2)*2 - (-10 - 8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - 10. Let j be s(3). Suppose 0 = 2*n - 6*n - j. Let p(g) = g**2 - 3*g - 2. What is p(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21410655881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 + 783. Suppose 8*u - 5*u - g = 0. Suppose 0 = k + 4*k - u. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 3*c + 6. Determine w(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 18239192044\nAnswer: -18239192040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14*q + 322. Calculate the smallest common multiple of 126 and n(-19).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 326*o**3 - 32*o**2 + 43*o - 203. Is b(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146\/3 + 49. Solve -a*d + 0 + 1\/3*d**2 = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 14*f + 7 - 137 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**4\/12 - 5*l**3\/3 + 7*l**2\/2 + 9*l - 1. Give v(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35 + -74d3?\nAnswer: -7518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4848 by -3.\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 28. Let n be u(-11). What is the third smallest value in -0.4, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44*7802\nAnswer: 343288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-12))\/((108\/272)\/(-9)). Put s, 4, -11 in descending order.\nAnswer: s, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 915*h + 11. Let f(k) = -842*k - 10. Calculate 7*f(g) + 6*j(g).\nAnswer: -404*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 137?\nAnswer: 41.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 37095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 16*c - 14. Let r be w(5). Let l be 0 + 2 - (-11)\/(r\/18). What is the fourth biggest value in l, -1\/2, 6, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2412*-85496.\nAnswer: 206216352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x + 344. Let r be o(-29). Which is the smallest value? (a) 0 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-3 + 7 - 16) - 17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than 38547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -1, -1\/5, -11\/130, 1, 0.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hco when three letters picked without replacement from {o: 2, c: 2, h: 7, s: 3, l: 1, y: 3}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 317 + -323. What is the closest to -1 in -1\/20, 2\/9, k?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-464))\/((897\/52)\/(-69))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 93?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-45)*390\/2. Suppose w = -3*m + 776. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 56. Let m = v + 76. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -855871226 + 1491783616039\/1743. Let a = n - -6\/581. Is 41 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1413*o + 33825. Give t(-21).\nAnswer: 4152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 9*q - 9. Let p be j(-10). Let c be (-10)\/p + 2 - -1. Let k = 3 - c. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -137*w - 1. Let j be o(-4). Suppose 4*x - j = -3*m, x - 5*m + 61 = 192. What is x rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 21323?\nAnswer: -21332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5634062 is divided by 549?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20751855?\nAnswer: 3, 5, 373, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34641095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -8. Suppose q*l + l - 80 = 0. What is the remainder when 38 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2569, 20825, 70405, 166969, 326177, 563689, 895165?\nAnswer: 1336265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = i - 18, 12 = -4*i + 15*j - 20*j. Solve 5*b - t = 17, -b - b - 4*t = i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - -5) - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 10111?\nAnswer: 10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**3 - s**2 - 3 + 4*s**3 - s**3 to the form u*s**2 + t*s + o*s**3 + w and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -4 (c) -5021 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 8*m - 4*m)*((3 + 37 + 38)*(3 - 3 - 1) + (3 - 3 - 2)*(-2 + 5 - 1) + 1 + 5 - 5) - m + 0 + 0 + (-2 - 1 + 2)*(0*m + 3*m - 2*m).\nAnswer: -650*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -14*w - 22. Let d be a(-2). Let l(z) = 2 - 4*z + 0 + 14 + 11. Let p be l(d). Solve 0 = 5*t - 1 + 6, f = -p*t + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + 2.151. Let m = -4.549 - i. Let a = m - -4.60031. Round a to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241412953.\nAnswer: 241412953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, 0, -0.3, 4\/5, 4 in ascending order.\nAnswer: -0.3, -0.2, 0, 4\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and 2067?\nAnswer: 5580.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18765 + 18764. Which is the nearest to -6? (a) s (b) -4 (c) 1\/8 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 1. Let k(d) be the first derivative of -d**4 + d**3\/3 - d**2\/2 + 5*d + 1. Let c = -6 + 7. Suppose c + 4 = -g. Give g*j(o) - k(o).\nAnswer: -o**3 - o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 101, 838, 2837, 6728, 13141, 22706, 36053, 53812?\n\"Answer: 105*r**3 + r**2 - r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1935*f - 29010. What is y(15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + 0 + sqrt(175) + 4 + sqrt(175) + sqrt(175) + -1 + sqrt(175) + ((-1*sqrt(70) - sqrt(70))*-3 - sqrt(70))\/(sqrt(810) - 2*sqrt(810)))**2.\nAnswer: 350*sqrt(7)\/3 + 214780\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7973.151ng?\nAnswer: 0.000000000007973151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let i be (n\/9)\/((-2)\/6). Let o(x) = -3*x**3 + 4*x + 5. Let l(r) = -r**3 + r + 1. Calculate i*o(z) - 5*l(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164315293*p**3 - 5*p + 13293999 wrt p.\nAnswer: -985891758*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 137*j**2 + 1781*j + 1. Calculate o(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7584 and 1881622.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -7*x**4\/3 + 9*x - 1. Let a(r) be the first derivative of w(r). Let f(n) = n. Give a(f(t)).\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.466*282\nAnswer: -131.412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a + 11. Let t(h) = 1. Let x(u) = n(u) + 3*t(u). Let k be x(4). Solve 0 = -k*f - 0 - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*sqrt(162) - (sqrt(12)\/(sqrt(6) - sqrt(6)*3) - sqrt(2)))**2.\nAnswer: 2595\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) + -1)*2 - ((sqrt(84)\/sqrt(192))**2 + sqrt(7)))*-3*-5 + -4 + 4*2*sqrt(112) + sqrt(112).\nAnswer: -649\/16 + 66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and -0.07.\nAnswer: -8.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/12)*c*c**(1\/4) assuming c is positive.\nAnswer: c**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58646 or 1\/10?\nAnswer: 58646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 74 (c) 9 (d) 2 (e) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 0*t**7 + 0*t**4 + 0 - 1\/112*t**8 + 0*t**6 + 0*t - 1\/30*t**5 + 0*t**3 - 3*t**2. What is the third derivative of a(r) wrt r?\nAnswer: -180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 25*b + 2. Let o = -92 - -67. Let q be c(o). Put 0, -5, q in decreasing order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-31)\/f**(-28))\/(((f*f\/(f*(f\/(f\/(f*f**(-7))*f))\/f))\/f*f)\/f)**(-41) assuming f is positive.\nAnswer: f**325","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 947 + -948. Let o = 43\/3 - 1336\/93. Is b bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 967090 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 36*f + 595. Let n be h(-16). Solve 5*d + 90 = 5*c + 50, -n = 2*c + 5*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4183365.\nAnswer: 3, 5, 278891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 19*k**2 - 11*k - 84. Is 38 a factor of t(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -38*i + 71. Let g(k) = -40*k + 70. Let p(a) = 3*g(a) - 4*r(a). Is p(4) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 u when four letters picked without replacement from {u: 14, g: 1}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and 73\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 7202882*i**2 + 14405770*i + 7202886.\nAnswer: -2*(i - 3601443)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - 0\/2 - -6. What is the greatest common divisor of y and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -13. What is the closest to 1 in 0, -5\/7, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -268 in increasing order.\nAnswer: -268, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3861?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -523, -2, 2\/7, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*b - 9*b**2 - 11*b**3 + 3*b**2 + 4*b**2 wrt b.\nAnswer: -66*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(78)*-2 + sqrt(78))*-2 - sqrt(78)) + sqrt(78)*1*-3)\/((sqrt(24)\/sqrt(4) + sqrt(6))*1 + sqrt(60)\/(sqrt(10)*2)))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**3\/6 + 4*p**2 + 18*p. Suppose 41 - 13 = 4*y. What is c(y)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -21\/4*j**4 + 3*j**2 + 3*j + 0*j**3 - 24. What is the second derivative of n(a) wrt a?\nAnswer: -126*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3713 + 125355 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(3*u - 5*u + 3*u) + (2 - 3 - 1)*(2 + 2*u - 2) + 1911*u + 810493 - 810493.\nAnswer: 1905*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s**(1\/2)\/s))\/(s*s**1*s**(-2\/7))*(s\/s**(-2))\/(s*s\/(s\/s**(1\/3)*s))*(s**(-1)\/s)**6 assuming s is positive.\nAnswer: s**(-191\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(76) + sqrt(76)*1*-4 + sqrt(76) - sqrt(76)))\/((sqrt(512)*-1)\/sqrt(8)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/5*24\/(-54)*(-2875)\/(-100).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1548959*a**6 + 1243921*a**2 wrt a.\nAnswer: -185875080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let v be y(3). Suppose -v*u + 190 = 2*u. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**2 + 0 - 2 + 10*c**2 + (0*c - 2*c**2 + 0*c)*(-6 + 2 + 0) - 5197 + 138*c**2 + 5197.\nAnswer: 143*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7224 divided by 2408\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12.19. Let h = -0.2 + w. What is h rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5 - 1 + 1 + 3*h - h**3 + 2. Let u = -251 + 253. Give n(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2228 (b) 14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u = -15*u - 399 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1563 - -0.3.\nAnswer: 1563.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*5\/90*180\/30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495866?\nAnswer: 2, 3, 249311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -463 * 888.\nAnswer: -411144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1082*l = -141*l + 5101 - 396 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.3, 0.5, 29370?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45066*l + 45083*l = -561 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*s + 8. Suppose s*c = 32 - 12. Solve 5*l + 15 = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {q: 5, g: 1, s: 2, u: 1, v: 1, x: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0*t**2 + 3*t**2)*(t**2 - 2*t**2 + 0*t**2) + (3*t**4 - 4*t**4 - 2*t**4)*(4 - 3 + 1) + 2*t**4 + 6*t**4 - 11*t**4 - 6*t + 2*t**4 + t**4 - 4*t**4.\nAnswer: -11*t**4 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 805437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of 43\/3*d**3 + 1 + 0*d + 0*d**2. Let j(p) be the second derivative of p**3\/6 - 25*p + 571. Determine j(m(w)).\nAnswer: 43*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 3361164?\nAnswer: 16805820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19605, 19618, 19679, 19812, 20041, 20390, 20883, 21544?\n\"Answer: 4*m**3 - 15*m + 19616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*2\/84)\/((324\/28)\/9).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(0 - -4) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -212. Let j be (-2)\/14 - p\/(-28). Suppose j*w + 13 = 5*l + w, -4*l = -w - 16. Solve -3*c = -l*s + 10, -5*s - 4*c = -6*c - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 8. Let m be j(12). Solve 3*g - 8 = m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8*u + 282 = -1236. What is the greatest common factor of u and 2346?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = -1. Let j be 2*(f - (-4)\/8). Suppose -10*z - 34 = -24. Is j at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -728 - -735. Let w(f) = 34*f + 39*f - x*f. Let i(v) = 2*v + 2 - 2. Give i(w(d)).\nAnswer: 132*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/21*(-406)\/(-1508).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -104620 - -58?\nAnswer: -104584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5489227 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, 337020, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 t, and 1 v when three letters picked without replacement from uukukuvgkcuut.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3\/7 - 2*a**2 + 20*a\/7 = 0?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-4)*(-2)\/(-3). Let a = 5 - d. Put 5, 4, a in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1134 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7936 and 34441.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)\/(sqrt(99)\/sqrt(11)) - sqrt(17)) + 0 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + t**2 + 2*t**2 + t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = -13. Let i be (-5)\/4 + 1\/q. Let w(g) = g**2 - g - 29. Let l be w(6). Is i at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22774091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10189\/1260 + -237\/28. What is the common denominator of c and 11\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m - 46. Let u(x) = -x - 15. Determine 2*f(v) - 7*u(v).\nAnswer: -v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -4 + -2 + 3 - 11?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k. Let w(b) = 4*b**2 - 378754*b + 18. Determine j(w(v)).\nAnswer: -8*v**2 + 757508*v - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10 + 27\/5. Let u = -3 + v. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**2 - 27. Let b = 71 + -77. Let u(w) = -3*w**2 + 27. Let d(i) = b*z(i) - 5*u(i). Differentiate d(q) with respect to q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56087299 is divided by 2078.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -2*u - 34. Let h be ((-8)\/2)\/(1 - 2). Suppose 3 = r + h*t - 6*t, 2*r - u = -2*t. What is the greatest common factor of r and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -2, -6512, 1, -150, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001299432743 rounded to seven decimal places?\nAnswer: -0.0001299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x. Let n(i) be the third derivative of 11*i**4\/8 - 7*i**2. Determine n(b(q)).\nAnswer: -33*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(sqrt(180) + 3 + -2)*-2)**2*4 + -2.\nAnswer: 4800*sqrt(5) + 72396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 9:42 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -150. Suppose -2*q + 102 = 4*p - 72, -5*p - q = -210. What is the remainder when p is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238662948 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n = -g + 28*n + 168, -5*g = 3*n - 748. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26674533 (base 8) to base 4.\nAnswer: 112313211123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-8)\/8)\/(1\/(-170))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8*m - 96 = 3*x, -x + 4*m - 12 = 0. What is the common denominator of -87\/478 and x?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzh when three letters picked without replacement from {a: 1, k: 1, z: 3, u: 2, h: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*w + 17*w + 95*w + 26 as l + r*w and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1688946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 1, n: 4, j: 1, y: 9}. What is prob of picking 1 y, 1 n, and 1 z?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 56 - 52 = 0. Solve 8 + y = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8457 - -8480. What is the remainder when 549 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9086 + 384 = -4*p + c, 2*p = -3*c + 4358. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 493746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.01, 39030, 0.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560893897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7526196589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1725 by -116.\nAnswer: 1725\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3650311\/10086872 - -3\/66361. Calculate the common denominator of n and 7\/475.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**4\/24 - 3486*h**2. Let r(i) = -2260*i**2. What is f(r(l))?\nAnswer: -2260*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/6)*c**(-2\/9))**14\/(c*c**(-1)*c**(1\/3)\/c*(c**(-6)\/c)\/(c*c**3)) assuming c is positive.\nAnswer: c**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7414909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/14, 64.8, 2, -292, 5 in descending order.\nAnswer: 64.8, 5, 2, 0.4, -3\/14, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -447 + 5?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 - 4 = 0. Let z be i\/((-3)\/42*2). Suppose 3*l + 2*f = z + 22, -l - 5*f + 27 = 0. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/9 - 784*y**3\/9 + 79904*y**2\/9 - 200704*y\/3 + 131072.\nAnswer: 2*(y - 192)**2*(y - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -281 - -287. Let d(q) = -q**2 + 5*q**2 - m*q**2 + 10*q**2. Let k(s) = 13*s**2. Give d(k(h)).\nAnswer: 1352*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*x + 2*x. Let u(b) = -b + 11. Let s be u(x). Let d = s + 13. Calculate the remainder when 58 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 + 9 - (3 + 1)) + -3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*z - 465, -3*l - 1520 = 72*z - 8423 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 9. Let i = 10.99998 - m. What is i rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 115137 - 115137. Let o(x) = -x**2. Let l(d) = 4*d**2. Let u(p) = 2*l(p) + 11*o(p). Give u(r(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jc when two letters picked without replacement from {h: 1, y: 1, n: 2, k: 1, c: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0297236*-33.\nAnswer: -0.9808788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**2 + 28 - 22 - 8*z**2 + z as y*z**2 + j + p*z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39 and 10184403?\nAnswer: 132397239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 35062 = 3*d, 2*b - 7*d = -6*d + 14025. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25626487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**8\/6720 + p**7\/1260 - p**6\/360 + p**5\/60 + p**4 - 6*p**2 + 3*p. Let c(r) be the third derivative of x(r). Determine c(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -8 - (-10 - -7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 + ((-1074)\/3401 - (-5394)\/114)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 4 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95)*-1 - sqrt(95))*-4)\/((-2*sqrt(500) - sqrt(500)) + sqrt(5)).\nAnswer: -9*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**3\/11 - 96*z**2 - 304416*z\/11 - 14563584\/11.\nAnswer: 6*(z - 344)*(z + 84)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 94*l + 24. Calculate t(-31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(720) + sqrt(720))**2 + 0 + 6*-1*sqrt(720) - (-4*1*sqrt(720)*-2)**2) + -4)*-3 + 4.\nAnswer: 216*sqrt(5) + 129616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*h**2 + 25*h**2 - 2*h**3 - 25 - 97*h**2.\nAnswer: -2*h**3 - 109*h**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3.391575g?\nAnswer: 3391575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k - 5. Let w be p(-7). Suppose -7*n = -4*n - 72. Calculate the greatest common factor of n and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 210.44 + -210.24. Let g = -2.15 - -2. Let o = g - -0.05. What is the closest to j in 1, o, -26?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**3\/2 - 39*t. Let o = -99 - -96. Calculate f(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.12 and 0.1.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + d + 18, -3*d + 11 = 4*b - 5*b. Let r be b*(-3)\/(3 + 12). Is 1*-3 - (r + -17) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 <= 690\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36*2)\/3 + 4. Let i be (5*(-40)\/6)\/(n\/1410). What is i rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 206 - 80. Suppose 5*h + 66177 = 66197. Calculate the least common multiple of u and h.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 7*a - 18, -8*i - 3*a = -5*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020122 - -132?\nAnswer: 2020320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 32*o + 41. Give p(-5).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - -446. Is 4*(-2)\/(-8)*m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1739*q**2 + 123*q - 12245 wrt q?\nAnswer: -3478*q + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5201 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/127 or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 6*z + 7. Let s(l) = l**3 + 10*l**2 + 10*l + 3. Let r be s(-9). Is n(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, v: 3}. What is prob of picking 2 v and 1 d?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 256\/(-12)*(-30)\/4. Let o = 91 - k. Let f = o - -101. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 1501?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 41*y**2 - 427*y + 72. Determine o(10).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/420)\/(0 - 2\/10)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4820136 and 788376?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + p = 5, -2*p + 8 = 14*w - 10*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.18 + 0.12. Let d = v + -15. Let n = -1 - d. Which is the third smallest value? (a) -4 (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 19*t + 24*t - 46*t. Let h(w) = 6*w - 6*w**2 + w - 7*w. What is s(h(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 8*b + 35. Let q be j(-3). Calculate the greatest common factor of q and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 + 4*n**4 - 12*n**3 - 40*n**2 - 38*n - 12.\nAnswer: 2*(n - 3)*(n + 1)**3*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74 - -73.99918. What is h rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -193 + 304. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qtpj when four letters picked without replacement from {q: 2, t: 1, p: 1, j: 2, d: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1716473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -3. Suppose 3*q + 342 = k*h + q, 0 = -3*q + 12. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) -24 (c) 61 (d) -21 (e) 2 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -124. Suppose 5*g = -4*w + 46, -10*w = k*g - 6*w - 34. Calculate the lowest common multiple of 33 and g.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 5*g + 4. Let v be t(3). Let o(x) = -x**2 - 4*x + 1. Let j be o(-5). Let h be (-2 + j)*v\/6. Is h >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-493578)\/(-108) + 2\/(-12). Suppose p + 5*t = 1115, -l = -p - 3*p + 2*t. Is (2 - p\/8)*-6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*g - 11, a = -g + 9. Let b(p) = -32*p**3 + 2*p - 2. Let l(r) = -65*r**3 + 5*r - 5. Determine a*b(k) - 2*l(k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9279*0.078.\nAnswer: -0.0723762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 12*a - 11. Let h be u(8). Solve 3*n + 4*f + 32 = 6*n, -f - h = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893302766 less than -0.1?\nAnswer: -893302766.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 34 = -6. Let p(n) = -26*n - 104. Let z be p(h). Suppose l - 3*l = -8. Solve z - l = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 144.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 - 15*t**3 + 125*t**2 - 105*t.\nAnswer: -5*t*(t - 3)*(t - 1)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1228 (base 15) to base 12.\nAnswer: 229b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616510 divided by -2?\nAnswer: -1308255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 57, -59, 3\/4, -95, 2\/13?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 277109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 805, 5, 405?\nAnswer: 805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1606 or -1605?\nAnswer: -1605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000965 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12022 + 2?\nAnswer: 12024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10) - (-1 + 3). Which is the third biggest value? (a) 0 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 + 766 = 2*m. Suppose 5*o - 3*j + 5*j = m, 0 = 2*o - 4*j - 136. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910811823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 4*i. Determine o(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 530 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + l - 1. Let s(u) = 16*u**4 + 32*u**2 - 2*u + 2. Suppose -5*g + 8*g = 6. Let r(a) = g*c(a) + s(a). What is the third derivative of r(q) wrt q?\nAnswer: 384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/27)\/(3\/(-9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence all when three letters picked without replacement from leeeeellleleeallee.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2677*k - 179358. Calculate j(-67).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 923773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 253?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -12\/5 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9610\/75 - -4*2\/(-60). Let q = -14 + n. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -18. Sort 3, b, 0 in ascending order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-28)*(-84)\/126.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, -2, -0.15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111364500.\nAnswer: 2, 3, 5, 13, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1*(-1)\/(-1). Let m(n) = -3*n + 0 - 4 + b. Let l be m(-2). Solve l*c = c - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42, 71, 100, 129?\n\"Answer: 29*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 < 51259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 87\/(-6) - 2)\/(306\/(-204))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1935428*a**4 + 2*a**3 + 224*a**2 - 65738*a wrt a.\nAnswer: -46450272*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4555 = 33*u + 5215 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/7)))\/m)**42\/((m*m\/m**(-5))\/m)**(-2\/11) assuming m is positive.\nAnswer: m**(-516\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 5. Suppose -5*r + 128 = -t + 3*t, 47 = 2*r + 5*t. Let l(o) = o - 26. Let y be l(r). Suppose y = -11*z + 17*z + 24. Determine n(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/77121 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417271?\nAnswer: 417271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65050151.\nAnswer: 65050151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 8:50 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7311.67 millennia?\nAnswer: 87740040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0402746 * 572\nAnswer: -23.0370712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**3 - 4 + 2*s**3 + 3 + 0 to the form h*s + z + o*s**2 + y*s**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/32)\/(-3 - (-22)\/8). Let w = 461 - 458. Suppose -1 + b*v**w - 5\/4*v**2 + 2*v = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16521 + -16490.486. Let n = t + 0.386. Let y = n - 43. Round y to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 10) in base 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59571775?\nAnswer: 5, 2382871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -167108*n**5 + 7*n - 6656?\nAnswer: -3342160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -392 - -397. Let a be -2*1 - (i + -7 + -4). Solve 2*q = -x + 4 + 2, 0 = -a*q - 4*x + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 155*i**2 + 760*i - 1482. Give z(150).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387287181 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + 19172. Let c(y) = -48*y - 1. Determine c(z(i)).\nAnswer: -192*i**2 - 920257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 14*k**2 + 45*k + 35. Calculate the remainder when 206 is divided by a(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 8, 4 in ascending order.\nAnswer: -1, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*o + 477137 = 36*o + 2074407. What is the greatest common factor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 1. Let b = 5 + -2. Let y = i - b. Solve -m = -y*m + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 17*t**5\/24 + 25*t**3 - 17*t - 2. Let x(n) be the second derivative of u(n). Let q(y) = -3*y**2. What is q(x(c))?\nAnswer: -21675*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 628831\/516 - 3656\/3. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-10)\/35 - (-12104)\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 402237\nAnswer: -1206711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10 - 9 + a**2 + 1 - 2*a. Let t(u) = -3*u**2 + 5*u - 5. Let i(z) = 15*g(z) + 6*t(z). Let h(p) = 3*p**2. What is h(i(y))?\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 2, w: 2}. Give prob of sequence xf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127 - 180. Let s = 55 + n. What is the smallest common multiple of 50 and s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:52 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2398 + 2448. Calculate the remainder when a is divided by 3\/((4 + -1)\/9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4246 + 4449 - 8493 - 6*f to the form p + i*f and give p.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1607*m - 2 = -1608*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, a: 2, o: 1, f: 4}. What is prob of sequence au?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -9. Let j(r) = r**2 + 5*r - 2. Let m be j(f). Suppose m*n - 30 = 150. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191646?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 g when three letters picked without replacement from {g: 3, l: 2, x: 3, j: 3, r: 3, s: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -9. Let x be (12\/3 + -3)*p. Suppose -3*n - f = f - 175, -5*n + 290 = x*f. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 17609178?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133781397?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 40 = -0*t + 2*t, -5*r - 5*t - 75 = 0. Let q(f) = f**3 + 11*f**2 + 10*f - 6. Determine q(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.38? (a) -4 (b) 1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143 - 147. Let k be (32\/(d - -8))\/1. Solve a + 21 = k*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 9*c**5\/20 - 17*c**2 - 7*c. Differentiate y(s) with respect to s.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8255 is divided by 1171.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 704*f\/3 - 9880.\nAnswer: 2*(f - 38)*(f + 390)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, x: 6, z: 4}. Give prob of sequence xx.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g**3 + 6*g - 5. Let z(a) = -a**3 - a + 1. Let v(u) = 3*r(u) + 15*z(u). Factor v(b).\nAnswer: -3*b*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*z - 5587 = v, v - 1402 = -z. Let j = v + -180473\/129. Is j smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 372*s**2 - 3971900*s.\nAnswer: 4*s*(93*s - 992975)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 28*h**2 - h. Give o(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -26867*u + 429906. Determine h(16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199781?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 3*q**2 - 12*q + 27. Determine m(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 19. Solve 2*t**2 + v + 305*t - 313*t + 2*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1201508 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1516*w + 47*w - 1535*w + 17 - 15.\nAnswer: 28*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 10:17 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, 13, 38 in descending order.\nAnswer: 38, 13, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 14*u**2 + 34*u - 7. Determine w(15).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6387 and 5.\nAnswer: 31935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 4\/3 (c) 3.35 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 1)*(5*q - 8*q + 10*q)*(-2 + 3 + 0) - q - 3*q + 2*q to the form k*q + y and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g - 339 = 17*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 1\/2, -5, -0.6, 0.02?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, 16, 49, 98, 163, 244?\n\"Answer: 8*t**2 - 7*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(224)*-2)\/sqrt(4) - sqrt(56)) + sqrt(56))\/sqrt(8) + -1.\nAnswer: -2*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24415974 divided by 11?\nAnswer: 2219634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a**2)*(5*a - 2*a + a)*(5*a**2 - a**2 + a - 3*a**2).\nAnswer: -8*a**5 - 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 9 + 44)*(61*z - 187 + 187)*(10 - 6*z**2 - 10) to r*z + a + y*z**3 + h*z**2 and give y.\nAnswer: -24156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.59 (b) -2 (c) -14\/9 (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (2 - 10) - -4. Which is greater: j or 2\/127?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 5. Let c be h(8). Let p = -3 + 2.8. Which is greater: c or p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21*1 + (22 - 2106\/126)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((5 + -3 - 1) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 8*f + 12*f)*(1 + 3 - 2).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-4) - 2) + (-1 - (-9 - -10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*z - 23*z + 431*z + 708*z + 112423 = 0 for z.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90845273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 137240381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-782)\/1104 + (-1)\/(-12).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 56 = 3*o, -73 = -4*o - 3*s + 8*s. Suppose 3192 = 24*v - o*v. Calculate the highest common divisor of v and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.9 + -9. Let i = c - -0.1. Let t = 119 - 119.2. What is the nearest to i in -2\/5, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t - 4. Let z be v(-5). Suppose 4*h = -z - 714. Is h\/105*(-14)\/1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**2 + 136284*m - 124701320 = 0. What is m?\nAnswer: 941, 33130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + (-11 - -6 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3 - 1692*j**2 - 18279*j - 16590 = 0 for j.\nAnswer: -553, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 55 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*g + 140779 = 0, 2*g - 148976 = -4*t - 8162. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 7*f**2 + 4. Let k be t(7). Let j(w) = w**3 - 3*w**2 - 5*w - 2. Determine j(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47686 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)\/n*n**(-6)\/n)**46\/((n**1\/n)**(-6\/11))**13 assuming n is positive.\nAnswer: n**(-644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126722 - 48050. List the prime factors of n.\nAnswer: 2, 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*b - 1310. Let m = b - -397. Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 4, -2\/15, -75, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -991594*o + 4 + 3 - 1086183*o. Let l be f(-9). What is l rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1818 and 1414?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 28*b. Let c(k) be the second derivative of 1\/12*k**4 + 11*k + 0 + 0*k**3 + 0*k**2. Calculate y(c(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 2. Let g(b) be the third derivative of b**4\/24 + b**3\/6 + 2*b**2 - 1295*b. Calculate -2*g(c) + 3*l(c).\nAnswer: c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20412545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10218 + -560990?\nAnswer: -560989.89782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 79*b**3 + 2*b**2 + 298*b - 895. What is the remainder when t(3) is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 9*k - 67. Suppose -61*r = -k*r + 6. Sort 5, r, 31.\nAnswer: r, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 9:16 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15216848.\nAnswer: 2, 951053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 1, x: 5, w: 5, z: 2, b: 5, g: 1}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 + 2. Let a = d - 1.1. Let i = 1.3000011 + a. Round i to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 0 + 0)*(324 + 276 - 407) + (3 - 2 - 2)*(6*s + 0*s - s) + 2*s - 1 + 1 in the form n + u*s and give u.\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91326 is divided by 1100.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3705 - 3703. Which is the closest to -1? (a) -0.5 (b) -3 (c) -2\/7 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. What is t in -3*t**5 - 57 + 57 + 3*t**4 + 3*t**3 - 3*t**r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/6 - 201\/(-9) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 101?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8374*i - 2. Let c be x(-2). Suppose s - 37754 = c. Suppose -6*b = -11*b + s. Round b to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*t**3*v**3 - 2*t**3*v**2 + 175*t**2*v**3 + 8*t**2 - t*v**3 + 396*t*v - 3*v**2 wrt v.\nAnswer: -174*t**3 + 1050*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204633, 204641, 204663, 204705, 204773, 204873, 205011, 205193?\nAnswer: 205425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122833 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 1619861 and 1619837 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63.5 - -58. Let w = -5 - f. What is the second smallest value in w, 2\/17, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709.645mm in centimeters?\nAnswer: 70.9645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 13*g - 68. Let s be k(24). Let f = 201 - s. Solve p - 2*p = -f*d + 12, -3*d - 2*p = -15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1860 (base 16) to base 8\nAnswer: 14140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*r = 10, -3*r = -4*h + 153. Let g = 46 - h. Suppose 7*w - 441 = g*w. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.82, -1, -4, 2, 264 in increasing order.\nAnswer: -4, -1, 1.82, 2, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 25*t**3 - 5810*t**2 + 304305*t + 184680 = 0?\nAnswer: -3\/5, 81, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = 9*u - 9. Let k = u - -101. What is the remainder when 125 is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 9\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145 - 51. Let w = -89 + i. Find the third derivative of 126*n**5 + 127*n**w - 251*n**5 - 32*n**2 wrt n.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0437 take away 0.091179?\nAnswer: -0.047479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 + -123.8. Let h be (-6)\/4*(73\/69 + -1). Let p = -3.04 - -0.04. What is the third biggest value in j, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3467, 10038, 16609, 23180, 29751, 36322?\n\"Answer: 6571*z - 3104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1570*z**5 - 1551*z**2 wrt z?\nAnswer: 94200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*o**3*r + 93*o**2 - o*r + 21*o - 21*r wrt o.\nAnswer: -372*o*r + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, f: 1, g: 1, q: 2, c: 1, j: 2}. What is prob of sequence jg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82196633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/378864 and -133\/12.\nAnswer: 378864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, m: 3, t: 6, s: 2, z: 2, p: 1}. Give prob of picking 1 s, 2 o, and 1 t.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 5, 2, 23 in descending order.\nAnswer: 23, 5, 2, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 455\/3 at most as big as -34\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 835735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8593332.\nAnswer: 2, 3, 11, 65101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27585\/90448 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 2*f = -620, -4*f + 4 = 0. Let b = w - 305. Solve d = 7*d + b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/((-456807)\/(-424))*117\/6.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 9*x**2 + 2. Let p be f(-9). Suppose p*i = 5 + 3. Suppose j + 0 = i. Let z(g) = g**2 - 5*g. Determine z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7905.644 litres to millilitres.\nAnswer: 7905644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 422952110 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 158, 223, 334, 491, 694, 943?\n\"Answer: 23*b**2 - 4*b + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**5 - 6*g**4 + 4*g**3 + 4*g**2 - 2*g - 2. Let s(q) = q**3 - q**2 + q - 1. Let k(v) = 2*f(v) - 4*s(v). Factor k(h).\nAnswer: 4*h*(h - 2)*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 2. Let s = 18 + -7. Let h = y + s. Which is the biggest value? (a) 2 (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -10 in decreasing order.\nAnswer: 4, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 21) + 12 + 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*l = -5*l + 713, -3*l + 349 = 2*f. What is the smallest common multiple of 2 and f?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3*96)\/(-2)*1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*l + 235*l = 396 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4*g + 10 = 0, 2*n = -2*g + 11 + 9. Let x be 13\/n - 15\/25. Suppose x*i + i - 36 = 0. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 7223 - 7215 = -3*k, 3*k - 5*j = -20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3*q + 4*g**3*s + 11*g**3 - 4*g**2 - 3*g*s - 35275*q*s wrt q?\nAnswer: 2*g**3 - 35275*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527662 (base 13) to base 4.\nAnswer: 13113031030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -148744 + -5\nAnswer: -148749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-52)\/(-117))*-52*(-12)\/54\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 3)*((-1 + 2 + 0)*(0*j - 7*j - j) + 0 + 2*j + 0) as b*j + a and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -130.7 and -491.22.\nAnswer: -621.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 143185331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2466 = -9*s - 2421. Let g(j) be the third derivative of 5\/6*j**3 + 0 - s*j**2 - 1\/20*j**5 + 0*j + 0*j**4. What is the derivative of g(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*s - 19*s = -4154 - 14226 + 2832 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 21*x - 12*x - 8*x. Let k be c(-1). Suppose 2*s + 2*r - 20 = k, 3*s - 26 + 8 = r. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*d + 5*k, 3*d + 5 + 1 = 5*k. Suppose 0 = d*w + 22*w - 105025. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0a0c6 (base 16) to base 4.\nAnswer: 220022003012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4\/3, -1, 1\/3, 10?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-6763\nAnswer: -1352.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 764.\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1143 + 1414?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 11) in base 14?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 2 (c) 3\/5 (d) -213\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79, 95, 127, 181, 263, 379, 535, 737?\n\"Answer: x**3 + 2*x**2 + 3*x + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143273 is divided by 8427?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/4)\/((-12)\/(-32)). Suppose -c = 3*c + p. Let g(x) = x + 4. Let k be g(-2). What is the closest to c in -1, k, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 153, 291, 429, 567, 705, 843?\n\"Answer: 138*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, -70, -0.8, -5.\nAnswer: -70, -5, -0.8, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15*10*(-23)\/4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 41*l - 8. Let n be b(18). Let u be (18\/(-63))\/((-2)\/n). Suppose 2*m - 2*o = u, 2*o = -4*m - 0*o + 98. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1031300315 plus 261706?\nAnswer: 1031562021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*y**3 - 397*y**3 + 170*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5416 + 0.4584. Which is the fourth smallest value? (a) -7\/4 (b) -2 (c) n (d) 3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = u - h + 6, 0 = 3*u - 2*h + 52. What is the third biggest value in u, 3, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510.24 * 13110\nAnswer: -6689246.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -15*k**3 + 3*k**2 + 3*k - 1. Let p be b(-2). Let r = p + -119. Let j be r\/4*32\/24. Solve -2*y - 3*f + 8 = j*y, -3*f - 32 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*k + 23*k**5 + 18*k**5 - 12*k**5 - 3*k wrt k.\nAnswer: 580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964 = -4*d - 4*k, 63*k = d + 58*k - 223. Solve 5*u - d = -228 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 3*t + 3. Let f be n(-3). Let h = f + -4. Let o(b) = -b + 1. Let x be o(-2). Sort h, -2, x in ascending order.\nAnswer: -2, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 7*g - 5. Let t be c(5). Let p = 69 + t. Let o be 2 - (0 + 1)*p. Let m(n) = -34*n**2 - 14. Let k(r) = -7*r**2 - 3. What is o*m(l) - 14*k(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/5, 5, 1, 0.337?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 62*g**3\/5 - 1276*g**2\/3 + 55658*g\/15 - 16184\/15 = 0.\nAnswer: 28\/93, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1044 is divided by 497?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + 4 + 11 - (-13 + 23 + 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 29. Let f be n(13). Suppose -f*r - 119 = 4*r. Calculate the smallest common multiple of 4 and -6 - r - (-6)\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -243 - -580. Suppose 0 = -4*m + 2*h - 762, -5*m - 2*h - 905 = 61. Let x = r + m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (343*p**2 - 694*p**2 + 341*p**2)*(-1 - 5 + 4)*(3 - 2*p**2 - 3).\nAnswer: -40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)\/g*g*g)\/g*g*g**1*g*(g**(-2\/9)\/g)**(1\/32)*(g\/(g**(-4)\/g)*g*g*g**(3\/5)*g)\/(g**(-1)*g**(-1)\/g) assuming g is positive.\nAnswer: g**(12329\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -301, -306, -321, -352, -405, -486?\n\"Answer: -y**3 + y**2 - y - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 237 - -134b?\nAnswer: 1586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-174)\/(-6))\/(-1 + 2). Suppose -5*o + 16 = -n. Let z(p) = -p**2 + 11*p - 2. What is the units digit of z(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (162\/252)\/(3 + 135\/(-35))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -3\/8 (b) -3 (c) -594192 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/12672 and -9\/320.\nAnswer: 63360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bc - 1?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = q + q + 3*x - 42, 953602*q = 953599*q - 5*x + 58 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19269 times 11.5\nAnswer: 221593.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85206 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1111 is divided by 140.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 4*o + 2. Let x be t(2). Suppose 0 = -3*y - x*y + 110. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*h*k*o**2*y - 3*h*k*o*y - 4*h*k*o + 2*h*o**2 - 2*h*o - o**3 + 2*o**2*y - o*y - 2*y wrt o.\nAnswer: -74*h*k*y + 4*h - 6*o + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*r + 13. Let c = -2 - r. Suppose c*g - 13 = 3. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 354 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1787, 1794, 1795, 1790, 1779, 1762?\nAnswer: 1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -70.3825 and -0.06.\nAnswer: 4.22295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22416680*r**6 - 11*r**2 + 1167010 wrt r.\nAnswer: -2690001600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-8)*h**7\/h)\/((h**8*h)\/h**(-3\/4)))**(3\/26) assuming h is positive.\nAnswer: h**(-141\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**6\/900 - k**5\/450 - k**4\/45 + 4*k**3\/45 + 4*k**2 + 15. Factor a(y).\nAnswer: 2*(y - 2)*(y - 1)*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60692\/165139 + -1310559046273\/11890008. Let j = 110222 + v. Find the common denominator of j and -33\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*h = -11618, -2*j + 5*h + 7742 = 2*h. What are the prime factors of j?\nAnswer: 2, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 41 = -3*l, 23 + 22 = 3*l + 3*o. What is the highest common divisor of l and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51079453 is divided by 143?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**3 - 8*y**2 - 1. Let c(r) = 3*r + 5. Let p be c(-4). Let u be n(p). Let x = -2277 - u. Round x to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 - 4*x**3 + 2*x**3)*(10*x - x - 2*x).\nAnswer: -7*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*f + 3*g, -5*f + 12 = -3*f - 2*g. Let t(y) = -2*y**2 - 4*y**2 + 5 + 5*y + 5*y**f. Let x(l) = -2*l - 2. Let j = -8 - -3. What is j*x(v) - 2*t(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 105371.\nAnswer: 2\/105371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 18650544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15317 + -15110. Calculate the greatest common factor of 22563 and g.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61836*d - 123662*d + 61788*d.\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + sqrt(252) + sqrt(252) + -1)*-3 - (2 + sqrt(252) + (sqrt(63)\/sqrt(3))\/sqrt(3)).\nAnswer: -61*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -34. Solve 10*j = r*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:14 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y + 4043522 - 4043522.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n. Suppose -55 = -3*p + q, 43*p - 38*p - 89 = 3*q. Solve n = 5*o - 3*s - p, s + 12 = -3*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -17\/2*k**2 + 14\/3*k**3 - 23*k - 3. Let z(s) = 6 - 5*s**2 + 0*s + 2 + 6*s. What is -6*y(x) - 17*z(x)?\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 6*c**2 + 3*c + 7. Let j be b(5). Let l be (3 - 0\/2)*-1. Let d be l + j + (70 - -2). What is the greatest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*y + 51*y - 200*y + 49*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*2\/(-3). Suppose -5*a + 5 = 25, 2*y + 3*a = -22. Let q be (-1)\/((y\/2)\/(-1)). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512973 and 265113?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugznzzzggzzngz. Give prob of picking 1 z, 2 u, and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 1349?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/12236 and 129\/12236?\nAnswer: 12236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10)*(-10)\/(-14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 >= 316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 2, i: 6, h: 2, u: 3}. What is prob of sequence hi?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -250 - -1475. Suppose -s - 8255 = -10*l. Find the common denominator of -24\/11 and (-5)\/15*l\/(-32).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31194 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*(-224)\/(-84)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/(-2)*6. Let k(q) = -6*q**3 + 4*q**2 - 6*q + 4. Let x(u) = -13*u**3 + 9*u**2 - 13*u + 9. Give g*x(f) + 9*k(f).\nAnswer: -2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w + 0*w - 13 + 30 + 0*w.\nAnswer: -4*w + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*i + 5, 2*p - 5*p = -3*i. Suppose 3*w + 269 = i*c, 2*c + 2*w = w + 101. What is the third biggest value in -1, 2, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 244586*a + 489046. Give t(-2).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -794056*m**3 - 424171*m**2 - 1?\nAnswer: -4764336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1804 divided by -902?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 31 + 19)*((-5*g + 3*g + g)*(-2 + 6 + 0) + (-2 - 2 - 1)*(1 + 4*g - 1)) to the form c*g + p and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by -3278?\nAnswer: -163\/3278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p**4 - 2*p**2*y**3 - 431*p**2*y + 3*p*y**3 + 3799*p*y**2 + 3*p*y - 3*p wrt p?\nAnswer: 84*p**2 - 4*y**3 - 862*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 + 6*b - 5. What is the remainder when w(3) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2867539629.\nAnswer: 3, 2749, 347707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(16\/32*-3*1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 995660856 divided by -331886952\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*o**3 + 7*h*o**3 + 427*o**3 wrt h.\nAnswer: 2*h*o**3 + 7*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 328 and 7052.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 31 = 3*v - 287 + 100 for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83510 rounded to the nearest one thousand?\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 109 = 5*c + 88, -2*x + 8 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n + 2. Let b be j(-2). Solve -4*k = 3*r + 2 - 7, -2*k - b = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6718 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28493.64 nanometers to micrometers.\nAnswer: 28.49364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**3 + 734*m**2 + 308*m + 10846. Calculate y(184).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Suppose -481 = -u*x + 4*y - 9*y, -787 = -5*x - y. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(24)*6 - 2*sqrt(3456))*-4)\/((sqrt(84) + 1*sqrt(84))\/sqrt(7) + sqrt(12) - sqrt(432)*2).\nAnswer: -16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m + 9*m + 6*m.\nAnswer: 19*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 862761920 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*o - 349 - 351 - 351 + 1044 as n*o + l and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1377) - (1*sqrt(17)*2 + sqrt(17)))*5 + -5)**2.\nAnswer: -300*sqrt(17) + 15325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 48 = 5*d. Suppose -d*o = 2*o - 1386. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = d + 2*d. Let z = -40 - -46. Let j(a) = -2*a**2 + 6*a - 7. Let m(k) = -4*k**2 + 11*k - 13. Determine d*j(x) + z*m(x).\nAnswer: -2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -103 and 0.0839077.\nAnswer: -102.9160923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-1)*(-2 + -12428)\/(-10). Let a = q + 658. Round a to the nearest ten.\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53317 take away -0.58497804?\nAnswer: 53317.58497804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 0. Suppose -12 = -3*s - s - 4*j, -3*j + r = -s. Let p be 1 - (0 + s - 1). Solve p = 5*q - 6 + 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14072177, -14072174, -14072171?\n\"Answer: 3*k - 14072180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 - 39. Solve 0 = -f - 5*j - 6 - 14, -20 = -y*f + j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*l + 1477*q - 1478*q, q = 2*l + 3*q - 16 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (60\/(-45) - 4\/6). Solve -k = -m*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**8\/112 + 2*t**7\/35 - 3*t**6\/40 + 51*t**2. Solve s(h) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of q**4\/4 + 2*q**3\/3 + 2*q - 2. Let g be b(0). Solve 15 = -g*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 8. Suppose -k + 9 + 13 = 5*p, 3*k - h = p. Factor k*v**3 - 5*v**3 - 3*v**3 - 10*v + 4 + 4*v**3 + 8*v**2.\nAnswer: -2*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x + 22*x + 90 = -110 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -180165 - 86?\nAnswer: -180251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13726747*l*t**2 + 10124943*t**2 wrt l?\nAnswer: -13726747*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 - 69*o + 102. Let u be n(-24). Solve 0 = 191*t - 176*t + u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 12508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/9? (a) 3 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -166134*w**2. Let l(c) = -153*c**2. What is l(g(v))?\nAnswer: -4222877411268*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0460058ml in litres?\nAnswer: 0.0000460058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39353 and -5.\nAnswer: 196765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -563, 2, 6, -55 in increasing order.\nAnswer: -563, -55, -8, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q + 2*q - 126947 = -331. What is the second biggest value in q, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 350843968 to the nearest integer?\nAnswer: 18731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -18*a + 5. Let s(l) = -18*l + 6. What is -3*s(c) + 4*v(c)?\nAnswer: -18*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -451200 divided by 25?\nAnswer: -18048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**7\/21 + 2*q**6\/15 + q**5\/10 - 11*q. Find p, given that o(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-50)\/(-15))\/5)\/(3\/18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91442784 and 35410?\nAnswer: 457213920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 4336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51.7 - -51.6. Which is bigger: -4\/147 or a?\nAnswer: -4\/147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (57\/4)\/((-36)\/(-96)). Is (-95)\/d*(0 - (0 + 26)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*n + 1509 + 1909 + 3332. What is the remainder when n is divided by 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**6\/360 + 4*r**3\/3 - 1. Let q(t) be the third derivative of v(t). Let s(l) = 2*l**2. Determine s(q(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 2:14 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 450001.6 weeks in milliseconds?\nAnswer: 272160967680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 35. Is p(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 13. Which is greater: f or -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-52)*13*14\/4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 4*t**2 + 2. Let q be h(4). Find the second derivative of -3*o**3 - o - 3*o - 3*o + q*o wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6) + 68\/12. Factor c*r + 3*r**4 + 9*r**2 + 9*r**3 - r - r.\nAnswer: 3*r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 227*w = -v - 225*w + 4, -3*v - 11 = -2*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39288253519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1244\/367, 2, 25 in descending order.\nAnswer: 25, 1244\/367, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y - 6. Suppose -3*h - c + 179 = 174, 3*c + 12 = 0. Solve y*l - h*l + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from 3655493689.929.\nAnswer: 3655493695.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 675*i + 8605 = 18451 + 15753 - 1299 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -15. What is the highest common factor of 9 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c + 2?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/(-98))\/(2\/(-28)))\/(126\/588).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 10. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -11. Let h be 22\/(-5) - y\/(-5). Let p be 2\/(-8) - (-13)\/4. Sort -2, h, p.\nAnswer: h, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 2*p + 5. Let m(w) = -5*w**2 - w - 6. Let r(s) = -6*l(s) - 5*m(s). Let v be r(7). Is ((v - -2) + -1)*26 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 44*b - 304. Let p be j(-6). Let o = 0.5 + 3.5. Sort o, -0.2, p, 0.2 in decreasing order.\nAnswer: o, 0.2, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.95 + 41. Let z = k - 0.05. Which is the nearest to 1\/4? (a) -0.2 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, r: 3, g: 3, c: 2, o: 6}. What is prob of picking 1 o, 1 c, and 1 r?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103030 is divided by 108?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - 137?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 0.066.\nAnswer: -4.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2.14, 2\/11, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/24 - (-6)\/(108\/75). Factor 1\/3*x**r + 0*x + 1\/3*x**2 + 0 + 2\/3*x**3.\nAnswer: x**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -14. Let f = 4.6 + -22.6. Let d = f + i. Which is the nearest to -1? (a) d (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99072684\/7 at most 14153242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*p + 3 - 87*p + 9 + 2 as f*p + j and give f.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzcc when four letters picked without replacement from qclclzccqlzlcqcqzc?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2942?\nAnswer: 2, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 48 = -10*u. Let f = u + -14. What is f rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c + 30. Let i(b) = -c - b**3 - 2*b**3 - 4*b**2 + 2*b**3 - 2*b + 4. Let k be (-4)\/(-1 + -1 + 3). Give i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 97 + b + 68*b + 13*b wrt b?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 20182 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((1\/(4\/4))\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = t + t + 5, t - 3*h - 3 = 0. Solve -3*c + t*c + 12 = 3*w, 0 = 2*w - 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*w - 90 = 0, 2*x - 50 = -x + w. Solve 6*a + x = 13 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-8))\/(2\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - -56 - 57) + (8 - 66)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -44*r + 354. Let k be l(8). Let v(q) = -3*q. Let o(h) = -6*h. What is k*o(z) - 5*v(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 5125\/431?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 460181 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5491968 divided by -4\nAnswer: -1372992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 29097.42m?\nAnswer: 29.09742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 8*a**2 - 3*a**2 + 53 - 5*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -60, -91?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 10. Let x be r(-7). Let c be 3 - (0\/(-1))\/x. Suppose -o - 3 = 5*d, -5*o - c*d + 69 = -6*d. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 41*b + 2542. What is u(-62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 74821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n + 53. Let k(s) = -2*s - 26. Let o(m) = 2*c(m) + 5*k(m). Let w(t) be the second derivative of -t**4\/12 + 2*t + 75. Calculate w(o(x)).\nAnswer: -4*x**2 - 96*x - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/259 and -155\/42.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*x - 120 = 114, r + 33 = 4*x. Let s be 0 + (-144)\/r + -3. Do -15 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 13. Let a = 78 - 53. Suppose -35 + 10 = -5*m - n, -5*m + n + a = q. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {j: 11, l: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 - 3*d**2 - 11*d**2 - 6*d**2.\nAnswer: -31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -2214764.\nAnswer: 2214740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/14 (b) 164194 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 10:09 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 6*u + 12. Determine o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44786, -89612, -134558, -179702, -225122, -270896, -317102, -363818?\nAnswer: -411122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -76*y + 73*y - 4*i, -i + 44 = 3*y. Let w(x) = -x**3 - 2*x**2 - 2*x + 2. Let z be w(-4). What is the highest common divisor of y and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*m + 5*m - 5, -w - 2 = -3*m. Suppose 2*j = 1 + m. Put 5, 0, j in increasing order.\nAnswer: 0, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6255\/2 + -334647\/107. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 35 = 3*a + 66, -39 = 7*d + 2*a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 5485.\nAnswer: -1\/1097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3835 and 624?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0 + (3 - 7 + 2)*(1 + 2 - 2) - 1 + 4 - 2 - 5 + 1 + 5)*(79*v**4 - 1035*v**4 - 8*v**4).\nAnswer: 964*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jytdu. What is prob of picking 1 t and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.18 > -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*v + 3, 9 = 5*v - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -77*u**5\/30 - 4*u**2. Let h(a) = -3*a + 1. Let q(x) = 17*x - 6. Let v(t) = 6*h(t) + q(t). Calculate v(m(s)).\nAnswer: 154*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29998?\nAnswer: 2, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 283\/2 + -164. Suppose -21 = -4*c + 5*b, -c + 4*b = 5 - 13. Calculate the common denominator of ((-194)\/132)\/(65\/15 - c) and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q - 2. Let n(l) be the second derivative of 7*l**3\/6 + l**2\/2 - 15*l. Let p(y) = 10*n(y) + 4*u(y). Determine p(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5 = 3*m, 69*b + m = 66*b - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/55 + (-172)\/10 - -10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 856 = 64. Calculate the remainder when r is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 + 45*j**4 + 2655*j**3 + 15455*j**2 - 18150*j = 0. Calculate j.\nAnswer: -11, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1019, 1017, 1015, 1013?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95600469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*k**2 + 1\/5*k**4 + 4\/5*k - 4\/5*k**3 - 3\/5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439 - -483.6. Let h = -41.6 + w. Which is the closest to 2\/7? (a) h (b) -22 (c) -2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 33. Suppose 0 = -6*k + k + 5*t - 30, 0 = -2*k - 3*t - 12. Let o = 8 + k. Calculate the remainder when q(-12) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.06?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164879 is divided by 23479.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2811*x - 9255 + 9255 - 3 + 3 - 2*x + (-2 + 3 + 0)*(2*x + x - 4*x) - 1 + 1 + 2*x + (3 + 3 - 5)*(1 - 2*x - 1) - 5*x + 3*x + 0*x.\nAnswer: 2806*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 23 - 5. Suppose -w - 13 = -0*a - 3*a, -4 = -2*a + 3*w. Calculate the remainder when o is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1758478031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -62. Suppose v = -2*c + 2*y - 7*y + 2461, 4*c - 4933 = y. Suppose -4*t = -3*b + c, -5*b + 2*t + 2078 = 3*t. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 2135946*r + 10679759. Determine a(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 38 = 4*a + 3, 3*r + 5*a - 21 = 0. Calculate the highest common divisor of r and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (5 + -1 + 3 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/171)\/((-4)\/6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305 = -20*c + 15*c + 3*d, 3*c = 5*d + 199. Calculate the remainder when 181 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y. Let g(i) = 1810*i. Determine h(g(a)).\nAnswer: 3620*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7690 - 7684. Let y(o) = 18*o - 29. Let w(q) = 6*q - 10. Determine c*y(u) - 17*w(u).\nAnswer: 6*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k + 2. Let q be (3\/6)\/(1\/(-20)). Let d = q - -7. List the prime factors of h(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -4369398 greater than -1.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 40. Let f be (s\/8)\/((-7)\/588*-7). Let y(m) = 322*m**2 - 14*m - 8. Let c be y(f). What is c rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 4:37 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s = 100. Let t(u) = -3 + 12*u + 6 + 1. Let f be t(3). Calculate the greatest common factor of f and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 8.1. Let u = q + -0.2. Let n = -0.87 + 0.67. What is the nearest to n in -0.4, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -27. Let z = 9 + y. Which is the third biggest value? (a) z (b) 2\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -96, -102, -108?\n\"Answer: -6*j - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8970987019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:52 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(693\/54) + (-2)\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1561588889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 - 3*c**2 + 4*c**2)*(-3*c + 2*c + 2*c + (c + 0*c - 3*c)*(-18 - 5 - 47)) to a*c**3 + h*c**2 + l*c + r and give a.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4*8\/11. Is 0 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 27*z**4 + 2*z**2 - z**3 - 18 + 2*z - 42 in the form b + h*z**2 + y*z + t*z**3 + x*z**4 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1\/3)\/(5241\/873 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r**3 + 1134*r**2 - 19*r + 1491. Calculate t(81).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/519708 and 131\/1299270?\nAnswer: 2598540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-267)\/(-21) - (-2)\/7. Suppose u = 3*n - 2. Let w(q) = -2*q**3 - 51*q**2 - 27*q - 47. Let b be w(-25). Solve b*r - n = -2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 97625 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 508*y**2 + 10*y + 6. Let i be k(-7). Suppose -i = -43*h + 4111. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*i - 5657 = -6017 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 80*y**4\/3 + 187*y**3\/6 + 47*y**2. What is the derivative of i(o) wrt o?\nAnswer: 640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 402*d**2 + 64*d + 520. What is the ten thousands digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1067 - -1068. Which is the nearest to i? (a) 2\/11 (b) -4 (c) 0.1 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 7:43 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i = 1420 - 1726 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 - 17*i**2 + 17*i**2 + 6*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*s**4 + 4*s**3 - 46*s**2?\nAnswer: 264*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + -3) - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*y - 50 = 0. Suppose -5*d + 4*l = 112 - 38, 2*l - y = d. Is 37 a factor of (-1400)\/d - 32\/(-144)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.21*0.108514\nAnswer: 0.02278794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3199239753 + -655.7.\nAnswer: -3199240408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27437, 109730, 246885, 438902, 685781, 987522, 1344125?\nAnswer: 1755590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11201 - 10?\nAnswer: -11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, s: 12}. What is prob of picking 4 s?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -587*l - 88664. Determine k(-151).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-15) + (-4)\/6. What is the second derivative of -5*i - 3*i**2 + 2*i**h - i**2 - 4*i wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1708 and 2772?\nAnswer: 169092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 453 - 432. Calculate the remainder when 32 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1183*r - 5948*r + 1198*r + 1099*r + 1010*r + 1147*r.\nAnswer: -311*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419 - 17.\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84.6 - 79.71. Let c = i + 0.11. Let x = 9 - c. What is the biggest value in -1, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83680)\/3224 + 26 - 4\/(-124).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-207)\/(-23)*((-1)\/(-6) + 0). Sort 0.08, -4\/5, j, 1 in descending order.\nAnswer: j, 1, 0.08, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 126*q - 9954 = 121*q, -p - 2*q + 4976 = 0. Is p a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4167666 a multiple of 683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sisi when four letters picked without replacement from siiiiiisiii.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s + s - 5*s. Let f(j) = -j. Give a(f(i)).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*i + 6, -2*p = -4*p + 2*i - 6. Let g = 3 + -2.5. Which is the nearest to -1? (a) g (b) 2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7942253?\nAnswer: 11, 722023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 253 + -253. Put -1, a, -4, 2 in decreasing order.\nAnswer: 2, a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2635, 2608, 2581, 2554, 2527, 2500?\n\"Answer: -27*h + 2662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + z = -40, 3042*q - 3*z = 3044*q + 32 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10219 and 187.\nAnswer: 173723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**7\/840 + q**5\/24 - q**4\/2 + 6*q. Let c(p) be the third derivative of w(p). Differentiate c(h) with respect to h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j - 36. What is u(-10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110988144?\nAnswer: 2, 3, 85639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -13\/20*u**6 + 0*u**4 + 46*u**2 + 0*u + 47\/6*u**3 + 2 + 0*u**5. Differentiate w(t) wrt t.\nAnswer: -234*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-five quarters of a tonne?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 16. Find the first derivative of -6 - 12*n**2 - k*n**2 + 27*n**2 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**3 + 8*i**2 + 229*i + 6. Let s be z(-6). Let 72\/7*m**2 - 36\/7*m**3 + 4\/7*m**4 + s*m + 0 = 0. What is m?\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126821.479 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -9, 2, -1012 in descending order.\nAnswer: 2, 0, -3, -9, -1012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48\/5*j**3 + 0 - 4\/5*j**4 + 56\/5*j + 108\/5*j**2.\nAnswer: -4*j*(j - 14)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49295?\nAnswer: 5, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/427 and -70\/549.\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22, -45, -68?\n\"Answer: -23*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75 + -75 - (-2 + (1 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q - 11. Let f be l(-3). Suppose -4*i + 2 = -10. Sort 2, f, i in increasing order.\nAnswer: f, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3916799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 284\/3461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -461344 (base 11) to base 5\nAnswer: -141440132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0381 + 21.9619. Is 0 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4639.6 and -0.25.\nAnswer: -1159.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + 0 + sqrt(7) - (5 + sqrt(7) + -1 + sqrt(7)))*-5.\nAnswer: 30*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -1\/6, -4\/11 in increasing order.\nAnswer: -4\/11, -1\/6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021768516 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 1981, -5, 2, 25 in ascending order.\nAnswer: -5, -3, 1, 2, 25, 1981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/234)\/(4*(-4)\/(-16)*-2).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 225.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/16 + (71 - 65) + (-15 - 3510\/80).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-8) + 1210\/(-40) + 28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 - -286)*2004\/8. Suppose p = -h + 256647. Round p to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16976951*v**2 + 18984784 wrt v.\nAnswer: -33953902*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 1924.\nAnswer: 82732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + (1 + 7 - -2059)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213202233230 (base 4) to base 11.\nAnswer: 5940095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6a29a1 - 1?\nAnswer: 6a29a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1225971390 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g**3 + 7*g**2 + 7. Let n(p) = -2*p**2 + 2. Determine -b(k) - 2*n(k).\nAnswer: -11*k**3 - 3*k**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59662, 119244, 178780, 238264, 297690, 357052, 416344, 475560?\n\"Answer: -h**3 - 17*h**2 + 59640*h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(25\/(-5))*2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y - 41. Determine k(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(-5)\/30 + (-13520)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 92842038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40350589 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 p when four letters picked without replacement from tzztzvppvtpvt.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2 - 4*g**2 - 20 + 11 + 26 with respect to g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 - -0.42.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-15)\/(-35)*54\/4 and -47\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -22.1797815 and 1.1?\nAnswer: 23.2797815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -19 + 11 + 5 + -2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7822.\nAnswer: 2, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -89*d**3 + 2*d**2 - 134*d - 640. Let b be n(-5). What is the highest common factor of 135 and b?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p + 3 + 20*p - 12*p - 14*p to the form a*p + u and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*z + 83*z - z**2 + 0*z**2 + 369 - 59*z with respect to z.\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*h + 79 - 79 + (3 - 3 - h)*(-2 - 1 + 4) + h + 0*h + 0*h in the form f + v*h and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 5*d + 4. Let m be t(-5). Suppose -3 + 15 = m*k. Suppose -16 - 11 = -k*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 + 6)*(2*w**2 - w**2 + 2*w**2 + 0*w + 0*w + w**2 + (2 - 2 - 6*w)*(w + 0*w - 2*w)) + (3*w + w - 6*w)*(w + w - 3*w).\nAnswer: 92*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-31.\nAnswer: 2.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.4605 less than 72.153?\nAnswer: 145.6135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 499564, 999127, 1498692, 1998259, 2497828?\n\"Answer: w**2 + 499560*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.46 + 3.46. Let h = -7 - -7.3. Let a = 3.6 - -0.4. What is the closest to -2\/7 in h, a, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cffccccfff. What is prob of picking 4 f?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 69*l**5\/5 + 41*l**4\/12 - l**2 - 7*l + 11. What is the third derivative of k(i) wrt i?\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2617 times -4\nAnswer: -10468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*j + 8. Suppose 0 = 3*s + s - 12. Is (-46)\/(-4) - s\/j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9591 and 2085?\nAnswer: 47955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:41 PM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -487*c**4*y**3 - 2*c**4*y - 23629*y**3 wrt c.\nAnswer: -1948*c**3*y**3 - 8*c**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 17*l - 30 = 12*l, 0 = l - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/343 and 23\/399.\nAnswer: 19551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 4:10 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = 4. Let l = o + 2. Determine c, given that 11*c**4 - 6*c**5 - 6*c**l + 12*c**4 - 9*c**4 + 4*c - 6*c**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a. Suppose a = 2*n - n - 14. Suppose 0 = q + 1 - n. Calculate the remainder when 25 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by (-1)\/(2\/6*(-6)\/26).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or 5277?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38187 + 57405. Does 32 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182 + -72 + -22 + -43.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 23 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 + (-51 + 125 - 20).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnv when three letters picked without replacement from vvinqvqvntttiqvqvqiv?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1088\/1568*-7)\/(4\/(-42)) - 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 347 - 272. Let g be ((-18)\/21)\/(n\/(-350)). Solve 0*c + 5*a = -4*c - 3, -g*c - 12 = -4*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(60))\/(sqrt(20)*-6).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207 or -17789\/86?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)\/((n**(-2\/7)\/n)\/n*n))**(-12)\/((n**(-2))**30\/(n*n**(2\/5))**(4\/5)) assuming n is positive.\nAnswer: n**(5896\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 247900798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2784263\/477 - 5837. What is the common denominator of p and -103\/48?\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*u + 752 = 75*u. Let g(x) = 4 + 3*x - x**3 + x**2 + 0 - 3*x**2. What is the remainder when u is divided by g(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - u - 2200, -4*v = 3*u - 2929. Suppose -10*n = v - 2353. Suppose -3*k - 45 = -n. Calculate the greatest common factor of 13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1593*d**3 + 10*d - 33 wrt d?\nAnswer: -9558*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 - 6 = -72*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -122777322, -245554647, -368331972?\n\"Answer: -122777325*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 11. Let h(i) = 6*i**2 - 1. What is the tens digit of h(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -5)*(18837\/92)\/(-13). Solve -a = -4*g - 63 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2636114, -5272230, -7908346, -10544462, -13180578, -15816694?\n\"Answer: -2636116*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5 - 90*x**4 - 1661*x**3 - 7896*x**2 + 9648*x = 0.\nAnswer: -67, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*b - 12 = 0, 28*d - 26*d - 2 = b. Sort 84, d, -3 in increasing order.\nAnswer: -3, d, 84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*n + 8*n**3 + n - 8*n**3 - 2*n**3 wrt n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 539 - 1827 = 0. What is the remainder when ((-1)\/(-2))\/((1 + -5)\/i) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12\/61 - -123\/305. Suppose 3\/5*a**3 + 0 - 3\/5*a**4 + 0*a + y*a**2 - 3\/5*a**5 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48.5 + -12.5. Let t = -28 - r. Let a = t - 32.999981. Round a to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -5, -16, 1 in decreasing order.\nAnswer: 5, 1, -5, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**4\/12 - o**3\/3 - 2*o**2 + 2*o - 32. Let t be l(11). Calculate the greatest common divisor of t and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46264732?\nAnswer: 2, 43, 47, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 98 = 2*k + 7*o, 4*k + 4*o = 192. Suppose 42*q + 455 = k*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i. Let h(y) = -6*y - 45. Let g(z) = -5*z - 39. Let k(o) = 7*g(o) - 6*h(o). Give f(k(s)).\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 8*y**4 + 13*y - 37*y + 8*y + 0*y**3 + 15*y in the form s*y + w*y**4 + i*y**2 + r*y**3 + u and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1233888, -4935565, -11105026, -19742271, -30847300?\n\"Answer: -1233892*c**2 - c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 29649 = 3*q, 4*q + 5*a = 11726 + 27841. Does 24 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 3. Let i(y) = 17*y + 8. Give 3*i(k) + 8*z(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**5\/2 + 27*k**4\/2 + 69*k**3\/2 + 21*k**2\/2 - 36*k - 24 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 56701190 rounded to the nearest ten thousand?\nAnswer: 56700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3880?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a3518 (base 13) to base 10.\nAnswer: -1035653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4350 divided by -30?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1526 - 1526. Let c = -4 + 8. Solve -2 = c*v + 4*j + 6, h = -4*v + 2*j + 22 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*j - 19 + 3, 0 = -3*j + 3*q + 12. Suppose -2*x + 5*b + 84 = -54, -2*b = j. What is the remainder when 688 is divided by x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 3*a**2 - 3*a + 2. Let z be v(-2). Solve -3*l = -3*j + 3, z*j + 0*l + 11 = l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001946152 rounded to 5 decimal places?\nAnswer: -0.00195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -1 + (272\/(-40) - -4). Which is the smallest value? (a) 5 (b) 3 (c) -3 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*u + 3, -3*u + 12 = 21. Let v = -110 - -103. Which is the second biggest value? (a) o (b) v (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from cccmmkccvcckcmkmmccj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.0201562.\nAnswer: 0.1209372","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w - 3. Let d be o(2). Suppose -2*m = 3*m - d. Let r(y) = -y**2 + 4*y + 6. What is r(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101001011010011010101001 (base 2) to base 15\nAnswer: e46955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*sqrt(68)\/sqrt(4)*-4)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1713.068 - -1716. Let t = -0.068 - v. Suppose -3*m = -4*m - 1. Which is the closest to m? (a) 6 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i**3 + 10788655*i + 27*i**4 + 2*i**2 - 10788655*i as y + o*i + n*i**4 + x*i**2 + a*i**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(135\/6)*2400\/(-320)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*o + 740*o + 4840 - 4840 to u + i*o and give i.\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0031655 to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 10*x + 2720. Let q = 4 + 30. Calculate the greatest common divisor of q and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 616 = -11*r + 687, -3*l + 3*r - 3 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-3) + 1 + -2. Suppose -y*q - 2*a = -12, 5*q - 3*a - 2 = 20. Solve -3*b = 5*n - 2, 16 = -b + q*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = -2*w, -3 - 11 = 4*f - 5*w. Let b be (-2)\/f*(-291636)\/(-8). Let u = b - 952909. Round u to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0086428983 rounded to 4 dps?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8651.343l?\nAnswer: 8651343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -14. Let i(w) = 16*w**2 + w - 1. Let s be i(1). Suppose 0*d - s = -4*d. Calculate the highest common factor of f and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3311 and 0.4.\nAnswer: -1324.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11040566183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5786.217nm to micrometers.\nAnswer: 5.786217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 741473911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1308\/763)\/((-9)\/((-135)\/(-10)))\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23885835*w**4 - 116*w**2 + 79409*w wrt w?\nAnswer: -573260040*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7602 and 2238246.\nAnswer: 15667722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2795 = -5*z - x, z + 2*x - 3*x = 553. Let k = -9\/1358 - -90361\/8148. Find the common denominator of k and z\/60 - (-3 + 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70154094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 28780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 5. Is 0 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - p + 1. Let l be f(3). Let i(s) = -11*s + 539. Let b be i(33). What is the highest common factor of b and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -2) + 2 + -2. Let n = 2 + q. Suppose 0 = n*x - 1264 - 791. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*w**2 - 9482056*w - 2809668312098.\nAnswer: -2*(2*w + 1185257)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 0.1, 1944, -1\/8, 3.26?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49419899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011001.146 rounded to the nearest ten?\nAnswer: -2011000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -11a?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2823256 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24960 divided by 1040.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 1*sqrt(275) + -5 + sqrt(275))*4 + 2 + 6*(sqrt(275) + 2*sqrt(275))*-6 + 0 + -2)**2.\nAnswer: 19200*sqrt(11) + 2534800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*z = -377*z - 110. Let f(l) = -l**2 + 11*l - 17. Give f(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132995.3 minus -0.5?\nAnswer: -132994.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18670162 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 90812 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10535206 - -63345?\nAnswer: 10598551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -27. Suppose -d*t + 6*t = -6. Suppose 4*c - 2*a - 10 = 0, a + t = -2*c + 9. Solve -5*r + 23 = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*l - 13 = -5*l, -x = 5*l + 15. Suppose -5*r + 62 = 3*a - 10*r, 116 = x*a - 2*r. Calculate the smallest common multiple of 12 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 524828 and 94691?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37474 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 l(q) = -q. Let s be l(-8). Suppose -2*h + s = -0. What is the second derivative of 4*u**5 + h*u - 3*u**5 - 2*u wrt u?\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q - 1534 = -35*q + 3*k, 0 = k. Calculate the remainder when q is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 109?\nAnswer: 4.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49275971, 98551932, 147827891, 197103848, 246379803?\nAnswer: 295655756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 24. Is j(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 4*l - 3*l + (0 - 3 + 4)*(-2*l - 3*l + 9*l) - 23 - 9*l + 23.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -238.3801 and 1633.4?\nAnswer: 1871.7801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71*49.0447.\nAnswer: 3482.1737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a - 9. Calculate b(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 14*i - 47 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/((6 - 2) + 0 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 11 = 4*c, -6*c = 143*f + 467 - 527 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - -36 - -3 - -2. Let o = a + -34. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3, 17, 43, 87, 155, 253, 387, 563?\n\"Answer: i**3 + 7*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 7*v**4\/24 - 5*v**3\/2 - 6*v**2. Is 10 a factor of h(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 21 - 27. Let u = -9 + 16. Which is the second smallest value? (a) u (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (10 - 15)) + 6 + (2 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 + 20*w + 23. Let p(t) = t**3 - 45*t**2 + 73*t + 550. Let n be p(43). What is v(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 724 divide 5633166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 214.\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581223 is divided by 193734?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15372 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - q**3 - 19*q + 3*q + 2*q**3 - 25 - 18*q**2. Let s be c(-17). Let y be (-132)\/s + (-1)\/7. Solve 5*i - 6 = -4*j, 2*j + j = y*i - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 5. Let w(a) = 6*a + 6*a - q*a - 3*a. Let n(c) = 6*c. Let o(d) = -2*n(d) - 5*w(d). Let b(t) = t**2. Calculate o(b(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2240 >= -2\/13981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(480\/(-176)))\/(2\/8*-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 249976015*i**3 + 307301319.\nAnswer: 749928045*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.717873 to 1 decimal place.\nAnswer: -22.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 283213 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 1. Let p(i) = 5*i**2 + 4*i + 7. Determine -3*f(w) + p(w).\nAnswer: 2*w**2 + 4*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*b - 103, 4*z + 4*b = -z + 544. Let l = 42 + z. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 666 - 271. Suppose 0 = -4*s - s + j. Is 24 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-1)\/(-4))\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 2392\nAnswer: 2870.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - i**2 - 2*i + 19. Let c be w(0). Let f(d) = 2*d**3 - 4*d**2 - d + 4. Let k be f(3). What is the highest common divisor of c and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6859072 by -155888.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 6*w + 4*w. Let s(a) be the first derivative of 3 + 0*a**2 + w*a - 2\/3*a**3. Let i(c) = -8*c. Calculate s(i(n)).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -64, 2, 51, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2440 and 81496?\nAnswer: 407480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:28 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 35964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (891\/(-108))\/(-33)*(-84)\/(6\/(-2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25075*u**2*z**2 + 6*z**2 + 2*z - 455 wrt u.\nAnswer: 50150*u*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 24 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-7 - -4 - -9) + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 919\/99 - 86\/9. Which is the closest to 8? (a) 2 (b) 2\/15 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5978495405 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/114474557?\nAnswer: -6\/114474557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -35525955.\nAnswer: 2\/7105191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/120*180)\/(((-15)\/25)\/(-1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4)**3*(i**7)**(-21) assuming i is positive.\nAnswer: i**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 2*a**4 - a**4)*(-4 - 2 + 2)*(1 - 7 + 4).\nAnswer: 24*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*d**4 + 2*d**2 + 10*d - 3*d + 2 - 2*d**3 - 6*d in the form x*d**3 + n*d**2 + v + c*d + a*d**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 53365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65741?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1405519\nAnswer: -1\/1405519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 + 39*m + 65)*(-1 + 4 - 2) + 118*m - 67*m - 93*m to v + q*m and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 127562, 255134, 382706, 510278?\n\"Answer: 127572*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/3)\/(138*34\/612))\/(-1).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64349591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*9\/((-54)\/(-483)). Calculate the highest common divisor of p and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1114 - 51100?\nAnswer: -45542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -269835*t**3 - 1079338*t**2 - 1079332*t + 8.\nAnswer: -(t + 2)**2*(269835*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s. Let p(c) = 2*c + 1. Give -12*b(w) + 3*p(w).\nAnswer: -6*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 222 and 1248972.\nAnswer: 1248972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 14. Let x(y) = -4*y - 15. Let m(j) = -5*b(j) - 4*x(j). Let q be m(13). Suppose -5*v + 245 = 5*t, 3*t - q*v + 39 = 4*t. Is 28 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/((t**(7\/4)\/t*t)\/t*t)*t\/(t*t*t**10\/t) assuming t is positive.\nAnswer: t**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.39661 rounded to two decimal places?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (25 - 16 - 12)*(1 + 5 - 3)*(0*p + 1 - 4*p + 2*p) in the form k + a*p and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 18 = -4*s. Let m(u) = -4*u**2 - 18*u - 13. Let l(r) = 5*r**2 + 19*r + 12. Let f(d) = s*l(d) - 6*m(d). What is the units digit of f(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138946 is divided by 34736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -604*a + 1187.\nAnswer: -604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(15) - (sqrt(15) - -2*sqrt(15))))\/(sqrt(25)\/sqrt(5)*1).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*z = 1 + 17, -5*g - 2*z = 22. Which is the third biggest value? (a) -0.4 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28079773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 6336 = 4*l + 6*l. Solve l = 15*t + 29*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1246073 - l**2 - 1246073.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - a = -3*m, 2*m + a = 0. Suppose 3*z - 5*c - 11 = m, 4*c + 13 = -2*z - 9. Let l be -1 + 4 + z + 8. Solve 2*x + 6*k - 28 = k, -3*x = -5*k + l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 131, 674, 1675, 3212, 5363, 8206, 11819?\n\"Answer: 13*j**3 + 151*j**2 - j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42856.\nAnswer: 2, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 30*i**2 + 682*i + 18617. Give q(-26).\nAnswer: -1819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v*v\/v**(-8))*v)*v*v\/(v**(-2\/3)\/v)*v)**(2\/53)\/((v\/(v\/v**(-6)))\/(v\/v**(-3))*(v**2)**(-34)) assuming v is positive.\nAnswer: v**(12490\/159)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from ltweilo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 416 - 411. Sort -11, -1, d.\nAnswer: -11, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111 - 1010001010000100100110001?\nAnswer: -1010001010000100101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or 1326?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 90 - 10*i + 6*i**2 + 15*i - 85 - 10*i. Let q(d) = -3*d**2 + 3*d - 3. Let m(j) = 3*o(j) + 5*q(j). Let g(k) = -9*k. What is g(m(f))?\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let b(s) = -5*s - 11. Let l(o) = -b(o) - 6*x(o). Suppose 2*h + 5*g - 21 - 9 = 0, h - 21 = -4*g. Determine l(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 8855?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -16.14. Let r = 0.13 - w. Let a = 0.01004 + r. What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -86, -200, -360, -566, -818, -1116?\n\"Answer: -23*j**2 + j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1066*x*y**3 - 24*x - y**3 - 5*y - 2879 with respect to x.\nAnswer: 1066*y**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*q**2 - 27*q**2 - 65*q**2)*(q**2 + q**2 - q**2) + (2*q + q - 6*q)*(3*q**3 + 0*q**3 - 4*q**3) + q**4 + q**4 - q**4 + (4*q - q - q)*(-2*q**3 + 4 - 4).\nAnswer: -65*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j. Suppose -47 = -5*l + 2*f, -5*l - 42 = -10*l - 3*f. Let y(n) be the first derivative of l*n + 6 - 9*n + 2*n**2. What is k(y(z))?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.292 - -49. Let s = -0.291799 - v. Round s to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 60015565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*f + 5*x, -14*f + 17 = -15*f - 5*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2382\/41 + 58. Let d be 0 - (-3 + 3)\/2. Which is greater: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8543 - 7276. What is the remainder when i is divided by 116?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, a: 6, d: 2}. Give prob of sequence da.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5692.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4508 + 3?\nAnswer: -4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 5*z**2 + 3*z - 3. Suppose -k = 8 - 2. Let f(x) = -x**2 - 6*x + 6. What is the smallest common multiple of l(5) and f(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 757.3329735 to the nearest 10.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/8 and 9\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 - 3*a**3 - 3*a**3)*(5 - 5 - 7*a**2) + (-a**4 + 0*a**4 + 2*a**4)*(-2*a - 4*a + 4*a).\nAnswer: 40*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 174527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*p - 37. Suppose -p*s + 4*m = -10, -4*m = 3*s - 4*s - 14. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 2. What is the lowest common multiple of n(-5) and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(3*(-1 + sqrt(1100)) - sqrt(1100) - sqrt(1100)) - ((sqrt(1584) + sqrt(1584) + 1 + -5 - -6*(sqrt(1584) - (sqrt(1584) + 0))) + 2))**2.\nAnswer: -3024*sqrt(11) + 77940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a**12)\/a)\/a*a**(-10))\/(a*a**(5\/14)*a**(-7\/12)\/a))**43 assuming a is positive.\nAnswer: a**(4429\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 - 7. Let f = v - 0.4. Let y = 60674\/7 + -8668. What is the biggest value in f, -0.13, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -37 + (-26 + 25 - 6)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 + 0*l**4 - 2*l - 2*l**2 + 0*l + 2*l**3 + l**4 to v*l**3 + p + g*l + x*l**2 + r*l**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3136\/11*t + 3134\/11 + 2\/11*t**2 = 0.\nAnswer: -1567, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - z + 2 = 0, 5*a + 44 = -2*z + 48. Solve 2\/5*j**3 + 2\/5*j**4 - 2\/5*j**2 - 2\/5*j + a = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 20. Determine g(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**3 - 4*v + 2*v**2 - 5*v - 1 + 9*v. Give y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2*r**2 + 4*r**2 + 3)*(-13959 - 5983 - 8358 + 12291 - 12640) to the form s + y*r + j*r**2 and give j.\nAnswer: -57298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2135 + 2487. What is the highest common divisor of 33 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30491.\nAnswer: 30491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-3) + 6\/(-9). Let w = -4 - -4. Which is the biggest value? (a) -4\/5 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -0.02, -2\/7, -0.097 in decreasing order.\nAnswer: 0, -0.02, -0.097, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/6 - v**2\/2 - v + 1. Let g(n) = 4*n**3 + 3*n**2 - 4*n + 6. Give -g(r) - 6*h(r).\nAnswer: 2*r**3 + 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6786, -2\/321, -0.2, 3\/7?\nAnswer: -6786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 3. Let q be t(-4). Let k = q + 3. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-651)\/84)\/((-2)\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12571952 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 55 = -263879*u + 263881*u, a + 5*u = -41 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -402955333.7 rounded to the nearest one million?\nAnswer: -403000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33304244 - -4?\nAnswer: -33304240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 7*h + 16. Calculate the lowest common multiple of 14 and l(4).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544*v + 36225 = -95*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1588 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*s + 31*s**4 + 3*s**3 - 1 - 23*s**4 + 2*s**2 + 65*s - 17*s**4 to f*s**4 + n + x*s**3 + c*s**2 + y*s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w + 1987 + 6247 = 0. What is the remainder when w is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -270, -552, -834, -1116?\n\"Answer: -282*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5*(-1 + (1*sqrt(12)*-1)**2 - (-3 + sqrt(588)*2)**2).\nAnswer: -840*sqrt(3) + 11747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1.3, 1, -6\/13, -0.07 in ascending order.\nAnswer: -1.3, -6\/13, -0.07, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -40. What is the common denominator of (113\/(-20))\/(g\/(-8)) and 46\/27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30504, 122517, 275912, 490689?\nAnswer: 766848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13125\/9 - 2\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = t - 7, 4*t - 15 = -0*t + 5*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63878, 63863, 63838, 63803, 63758?\nAnswer: 63703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1437, -2983, -4539, -6111, -7705, -9327, -10983?\n\"Answer: -r**3 + r**2 - 1542*r + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 6 = -8*s. Let a be (-4)\/s + 118800024\/(-36). Round a to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b + 20. Let n be z(0). Let f = n - 14. Solve 0 = -2*t + f*t + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1584 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1559363\/42 - -37130. Calculate the common denominator of u and -31\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zouzbkukouubuokuuk. What is prob of picking 1 z, 1 o, and 2 k?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 427 + -1283\/3. Sort 2\/7, s, -1\/2, 0.2.\nAnswer: s, -1\/2, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: c9e (base 16) to base 6\nAnswer: 22542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + -151)\/(-43) + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-3))\/(4\/(-6)). Let m = r - 1. Solve 0*k + 5*k + 20 = m, 4*k = 5*v - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 36794780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -433332 divided by 9\nAnswer: -48148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m. Suppose l - 5*l + 8 = 0, f = 2*l - 1. Determine w(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 181*v**4\/24 + 4*v**3\/3 + 23*v**2. Let i be u(1). What is the highest common divisor of 27 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 122087, 244175, 366263?\n\"Answer: 122088*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, t: 3, p: 6, e: 2}. Give prob of sequence etep.\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**3 + 10*y**2 + 3. Let a(z) = -z**2 - 1. What is -3*a(h) - q(h)?\nAnswer: -6*h**3 - 7*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3335901882 to the nearest integer?\nAnswer: 57757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 158*n**2\/17 + 28788*n\/17 + 56944\/17.\nAnswer: 2*(n + 2)*(79*n + 14236)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 58, 112, 188?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14660 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2371*c + 13741. Determine t(-6).\nAnswer: -485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 727 - 400. Let p = v - 315. Suppose 69 = 3*m - 3. Calculate the lowest common multiple of p and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*r + 25. Suppose 6*j + r*l = 4*j + 4, -j + 2 = 2*l. Solve -2*o + 0 = 4*f + j, 0 = 2*f + 3*o - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, d: 7, s: 5, t: 2}. What is prob of sequence tts?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9448214 take away -111748.01?\nAnswer: -9336465.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 8:12 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/(-280)*((-28)\/20 - -1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 + 74*j**2 - 3997*j\/4 + 6909\/2.\nAnswer: -(j - 282)*(j - 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:59 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4) + (4 - 75\/20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -44*l + 5. Let d(x) be the third derivative of x**4\/24 + x**3\/2 + 7*x**2. Let g be d(-7). Is y(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggp when four letters picked without replacement from {p: 15, g: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -12, 7, 2, -5, 5, -173 in increasing order.\nAnswer: -173, -12, -5, 2, 5, 7, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 385243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9))\/(858\/351).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -623, -994, -1407, -1862, -2359?\nAnswer: -2898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 74 = k. Let o = k + 94. Suppose o = 5*m - 4*x - 188, 2*m + 3*x - 146 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1185*h*p**2 + 3023*h*x + 6*p**2*x - 530672*p**2 wrt h.\nAnswer: 1185*p**2 + 3023*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 a factor of 320023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149472*u - 65938.\nAnswer: -149472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 816 and 32085664?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*z**2 - 7*z + 243*z**2 + 7*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/165072 and 49\/1624656?\nAnswer: 30868464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27389105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.222 and -826.\nAnswer: 183.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -17*n**2 - 1258*n + 3934. Give b(-77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.07, -0.4, 0, -5, -79, -7\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/10267 - -225916\/215607. Let q = 17\/84 + y. What is the common denominator of 103\/14 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43417.425 + 94.575. Let l = k + -43559.943. Let n = 48 + l. Round n to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 78016187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*g**2 - 97*g**2 + 372*g**2 - 86*g**2 - 91*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 3 (c) 0.04 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12824 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*n - 3 = -5, 28 = 5*j + 4*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x**3 + 34*x**3 + 39*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28613 + -15973. Round f to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 2\/5, 0, -88, -11, -1\/14?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (788\/1970)\/(((-2)\/(-12))\/((-1)\/(-4)))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m**2. Let l(t) = 19*t**2 - 51*t**2 + 33*t**2. Give p(l(b)).\nAnswer: -14*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (650\/150)\/((27\/(-36))\/(27\/(-6)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51\/103 - -1\/206. Let x = 60.5 + -60. Which is the closest to y? (a) 0.4 (b) 13 (c) 4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 18 + 3 = -r, 3*r + 4*g = 25. Let d(j) = j + 15*j + r*j. Let a(k) = -k**2. Calculate a(d(b)).\nAnswer: -729*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4847 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*g + 2*q + 956, 3*q = 5*g + 1081 - 947 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 13260?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 389*t + 956. Is 85 a factor of q(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6553554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 4*c + 7. Let x(l) = -l**3 + 7*l**2 + l - 2. Let f be x(7). What is the units digit of r(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*s - 62*s - 205*s + 95*s = -4920 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1. Let t(r) = -30*r**2 + 2. Determine -2*k(u) - t(u).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.721518 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 976269\/13 and 75097 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792.2596 centuries to years.\nAnswer: 79225.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(500)*3 + 2 + 0 + ((sqrt(500) + 0 + 1)**2 + sqrt(500) - (sqrt(500) + (sqrt(500) - (sqrt(500)*-3 + sqrt(500))*-3 - sqrt(500))**2 + sqrt(500))).\nAnswer: -17502 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.124 + 0.876. Put -2\/3, 0.05, t in increasing order.\nAnswer: -2\/3, 0.05, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(1 - -4) + -1. Let f(j) = 2*j - 2. Let r be f(n). Solve -9 = -r*o + o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**2 + 0*j**2 + j**2 + (-2 - 1 + 6)*(-3*j - 3*j**2 + 3*j) + 4 - 4 + 5*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/(-450))\/(210\/(-2430)) and -37\/625.\nAnswer: 8750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 9:41 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 + 6*f - 6. Let h be g(-6). Suppose 5*v - 264 = -3*q, 3*q = -v - 2*q + h. Does 21 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/4917285 and 29\/855180.\nAnswer: 19669140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*k - 84, -3*k - 2*k = -5. Let d = -61 - -34. Let h = d - -41. What is the remainder when m is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 0*g - g)*(0*g**2 + 0*g**2 - 2*g**3) + 10*g**4 - 25*g**3 + 25*g**3 in the form i*g**2 + l*g**3 + j*g**4 + x + m*g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4 = -2*d + 5*h, -4*d + 4*h + 20 = 0. Suppose 2*g - 8 = -4*v, g - 4 = v + 3*v. Suppose -i + 3 = -v. Solve 8 = -i*b + d*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ydyyiyyitydt. Give prob of sequence dyt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7833 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1297)\/123215)\/((-1)\/(-1))\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-28)\/(-12))\/(2\/6). Let x = -7 + f. Solve -g - 3*g - 20 = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3 + s**2 + 3*s + 0 + 3 + 4. What is the smallest common multiple of u(-3) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10249)\/(-111) + -101)\/((-3)\/(-9)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33135423 and 423?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - (-24)\/6) + -3. Is i*(342\/12 - 3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*b - b + 669, 4*b + 2007 = 3*a. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46372355*c*s**3 - 1140*c - 1772 wrt s.\nAnswer: -139117065*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2797 - -2792. Which is the closest to -0.2? (a) 0 (b) -23 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*h = 20, -5*h - 3 - 2 = 3*q. Let t = -9 + 39. Let j = t + -61\/2. Which is the nearest to 1? (a) j (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 equal to -395\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -558.2*-489.54\nAnswer: 273261.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492 + 444 = -16*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -1432947?\nAnswer: 143294c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 18 = 2*u. What are the prime factors of u\/8 + ((-770)\/(-8) - 2)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-three fifths of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2360 (base 9) to base 16\nAnswer: -6db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14232 = -3*x + 24195. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + -2*(2 + (-2*(sqrt(700)*5 + sqrt(700)) - sqrt(700)))*-3)**2 + 3.\nAnswer: -10920*sqrt(7) + 4258852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 717113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43d71 (base 15) to base 4\nAnswer: 310221220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 7. What is x(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, -5, 2 in increasing order.\nAnswer: -41, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 1 - 28\/(-4). Suppose f = -3*o + 13, -8 = -7*o + d*o. What is the remainder when 9 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -4 - (1 + -41 + (-6 - -19 - 20))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + (1 - (-22 + 11) - 16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65.2 + 1364706.\nAnswer: 1364771.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 19*o**2 + 86*o + 65. Calculate the remainder when (-4)\/6 - -1 - 18000\/(-108) is divided by x(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -535213466*d**4 - 784738401*d**2?\nAnswer: -12845123184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 698, 993, 1420, 1985, 2694, 3553, 4568?\nAnswer: 5745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 2. Let l be (9 - 13)*2\/2. Let o be q(l). Let k(h) = h + 2. Let i be k(-3). Put o, i, -4 in increasing order.\nAnswer: -4, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*j**2 - 13600*j**3 - 112*j + 6802*j**3 + 6796*j**3 = 0. What is j?\nAnswer: -14, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.2035135, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, -261, 1, -45, -4, 3 in ascending order.\nAnswer: -261, -45, -9, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + g**3)*(-3386 - 194 + 116).\nAnswer: 3464*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1137222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80905009 to the nearest integer?\nAnswer: 8995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2288 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -221 + 224. Let k be (8\/((-192)\/(-40)))\/(1\/n). Solve -3*h = -r, k*r = r - 5*h - 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -495500 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 12*a**2 - 10*a + 12. Let d be w(-11). Let g(n) = n**2 + d + 0*n**2 + n**2. Suppose -2*c - 1 = -3*c. Determine g(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:33 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**6\/120 - h**4\/12 - 17*h**3\/6 - 22*h**2. Let r be n(0). Which is smaller: r or -1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-196)\/7*(-2)\/(-4)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a factor of 13773902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*h = -0*f + 3*h + 35 - 84, 4*f + 3*h = -146 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h**4*i**3 + 18*h**3*i**3 - 28*h*i**3 - 7*h*i wrt h.\nAnswer: -72*h**2*i**3 + 108*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2391, 4775, 7151, 9519?\n\"Answer: -4*u**2 + 2396*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955344 is divided by 46?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0616727 times 41?\nAnswer: -2.5285807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2694176, 10776672, 24247488, 43106624, 67354080, 96989856, 132013952?\n\"Answer: 2694160*g**2 + 16*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*k + 21006 = 0, -3*j - 3*k - 7805 = -39344. Does 71 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.99758 decades?\nAnswer: 119.7096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 10:23 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -1, 5, -2 in ascending order.\nAnswer: -2, -1, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 4:19 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 110 = 5*l, -12 = 24*l - 20*l. Suppose -180 = -17*c - p*c. Solve -c*j = 6 + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x + 6 = 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**2 + 3*h - 4. Let o(r) = 13*r**2 + 7*r - 9. Let a(m) = -4*o(m) + 9*q(m). Suppose -4 + 0 = -4*g. Let t be a(g). Solve -t = v + 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5 + l - 10 + 3. Suppose 2*c - 10 = -4*p, 0 = -6*p + 4*p + 5*c + 23. Let n(o) = p*o**3 - 6*o**3 + o**3. Determine 2*n(m) + t(m).\nAnswer: -2*m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 15*k + 9. Let i(c) = -19*c - 8. Let f(z) = 4*i(z) + 5*v(z). Determine f(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2969 or 2970?\nAnswer: 2969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2262536 litres?\nAnswer: 226.2536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 128 = 140. Solve 3*h - h - l = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 919 = -5*x, 0 = -x - 2 - 3. Let f = a + -1655\/7. Suppose 2 = -4*b + 14. What is the third smallest value in b, f, 1\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59729 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1 + t + 3*t**2 + 3 - t**3 + t. Let m be j(3). Let r = 16 - m. Calculate the remainder when 10 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83d4 (base 15) to base 3\nAnswer: -1102020101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4696*m**2 + 4692*m**2 + 222077*m - 222120*m.\nAnswer: -4*m**2 - 43*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -2 - (-2 + 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 22. Suppose -x = 5*j - i, 2*j - 2*x + 1 - 23 = 0. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 2 - (-9)\/3. Suppose -40 = -2*v + 4*d - 6, -4*d = f*v - 18. Suppose -v*x - 90 = -16*x. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 110, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -3.6. Let s = w - -3.4. Let c = 0.02 + 0.48. Sort -5, s, c in ascending order.\nAnswer: -5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 717\/5 + -143. Let v = 1.96 - 0.96. What is the nearest to 2\/13 in v, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70, 112, 294, 476, 658?\n\"Answer: 182*h - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3313*n - 10. Let o(d) = -29811*d - 95. Give -57*m(r) + 6*o(r).\nAnswer: 9975*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*d*k**4 + 59*d*k + 317504*d - 2*k**4 wrt k.\nAnswer: -180*d*k**3 + 59*d - 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16166 is divided by 98?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -66*f**2 + 18544*f + 554. Determine u(281).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 3599413\/22584 + -11\/2823. Let v = w - 6569\/40. Calculate the common denominator of -117\/20 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2954795838?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - u**4 + 0*u**4)*(0 - 5 + 4)*(0 + 0 - 1)*(-742 + 742 + 478*u).\nAnswer: 956*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*w - 2*t + 5*t, 0 = -5*w - 5*t + 40. Solve -4*y + 5*y + w = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70, -125, -180?\n\"Answer: -55*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 44110?\nAnswer: -44123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbqbb.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l - 95. Let h(g) = 22*g**3 + g. Let y be h(-1). Let i be c(y). Are 87 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(637) + 0 + 4 + (sqrt(637) - (-3 + 1 + sqrt(637) + sqrt(637)))**2 + (-2 + (sqrt(208)*2*4)**2 + sqrt(208))*5.\nAnswer: -sqrt(13) + 67195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**2 + 4*f - 1. Let p(o) = o**2. Suppose -2*q = 15 - 23. Suppose -2*t + 1 = 2*i - 5, -2*t + i = 6. Calculate q*p(u) + t*v(u).\nAnswer: -u**2 - 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7176 - 7236 = -12*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*v - 49 = -28, 7 = 3*q + 5*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -507.63125 + 504. Let g = -3.63 - f. What is g rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 15*o**2 + 452*o + 453*o + 459*o - 1360*o. Let p(d) = -d**2. What is p(b(r))?\nAnswer: -256*r**4 - 128*r**3 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v\/(((v\/((v**6*v)\/v))\/v*v)\/v)))\/v*v*v))**(-45\/2)*(v**(-1\/3))**(-1\/66) assuming v is positive.\nAnswer: v**(-26729\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 357655240 to the power of 1\/3, to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4693, -8398, -12103, -15808, -19513?\nAnswer: -23218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 566, 2225, 5008, 8933, 14018?\nAnswer: 20281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 214 = 5*y, 0 = 4*q - 4*y + 52 - 380. Suppose 2*z + z - 336 = -3*c, -2*c + 4*z + 206 = 0. Let s = c - q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4884 = 533*m + 688*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + -2 + 2 + 0. Let i be 192\/(-6) - -16 - -11. Sort p, i, 3, -1 in descending order.\nAnswer: 3, -1, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223*v**4 - 3*v + 10 wrt v?\nAnswer: -2676*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/10 - y**4\/4 + y**3\/6 - y**2 - 3*y. Let p be l(2). Solve -p*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22047?\nAnswer: 3, 7349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -2*o - 25. Factor 0*d + 8*d**3 - 1 + 8 - o + 12*d**2 + 2*d**4 + 8*d.\nAnswer: 2*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2030, -4058, -6064, -8036, -9962, -11830, -13628?\n\"Answer: 2*o**3 - o**2 - 2039*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/21726 and -111\/14.\nAnswer: 152082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22617 + 10?\nAnswer: -22607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12961 and 104.\nAnswer: 103688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -4*q**4\/3 - 7*q**3\/2 + 3*q**2 - 34*q. Let p be d(-16). Let w = 6257 + p. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03585 * 0.8.\nAnswer: -0.02868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.24*1833.\nAnswer: 2272.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 - 5) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.41 - -3.6. Let z = 5.19 - a. What is the biggest value in -4\/5, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231611916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**5 + 149*h**3 - 88*h**2?\nAnswer: 120*h**2 + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9629, 9068, 8507, 7946, 7385?\nAnswer: 6824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -378, -613, -838, -1047, -1234?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - 5 - (-228)\/6 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*p = -269*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1469 or -1468?\nAnswer: -1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2 - -6)) + (70 - 69) + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 9. Let d be i(3). Solve 3*n - 3*x + 6 = d, x = -4*n + 4*x - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -578, -1241, -1960, -2759, -3662, -4693, -5876, -7235?\n\"Answer: -4*f**3 - 4*f**2 - 623*f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100221210 (base 3) to base 12.\nAnswer: 9a133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 220*m**2 + 10*m - 35. Give u(3).\nAnswer: 1975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.539 + -0.039. Which is the fourth smallest value? (a) l (b) -4 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10b93 + 790?\nAnswer: 11323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.07 rounded to zero decimal places?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 23. Give i(-5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15456 and 3?\nAnswer: 15456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -469 + 801. What are the prime factors of q?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + 86 - (15 - 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -204213212?\nAnswer: -204213214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 253 and 46?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027425887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 29 + 72)*(-2 + 7 - 2) + 1 + 0 + 0)*(-h - 4*h - h).\nAnswer: -834*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139\/130 - 2\/65. Let q = o + 37\/20. Which is the nearest to 0.2? (a) -0.3 (b) q (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -553*h**3 - 123*h?\nAnswer: -3318*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004961152 rounded to 4 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z + 4*z - 55. Suppose 0*f - 2*f + 52131 = 3*i, 0 = -2*i + z*f + 34754. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21565 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5655589734.79999621 - -5655589656. Let s = n + 78.8. What is s rounded to 7 decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394878 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**3 + 21*w**2 + 35*w + 77. Calculate i(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 14276 and -0.3.\nAnswer: 14275.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + z, -x = -2*z - 433 + 448. Which is the closest to -19? (a) -0.2 (b) 1 (c) x (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12891 equal to -12895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**4 - 2*r**3 - 161. Let u = -89 - -98. Let h(x) = -6*x**4 - 9*x**3 - 645. Let y(s) = u*i(s) - 2*h(s). Differentiate y(o) with respect to o.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:01 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.02 (b) -1\/119 (c) -2\/17 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43244?\nAnswer: 2, 19, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/10 and -121\/2136.\nAnswer: 10680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y. Let v(a) be the first derivative of -5*a**3\/3 - 2*a**2 - 2*a + 1. Give 4*t(j) + v(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-11)*x*x\/(x\/(x*x*x*x*x**(-1\/14)*x)*x)*x*x*x**(2\/5)*x**(-7)*x assuming x is positive.\nAnswer: x**(-607\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 152672243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**7*f\/(f\/f**(-2\/9)) assuming f is positive.\nAnswer: f**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*z - 4719 - 3378 = -133 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t - 14 = -49*t - 4*m, -4*m = -6*t - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5648b (base 15) in base 16?\nAnswer: -42fe6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3719*c**5*o**2 - 14292*c**4 + 2*c*o**2 + 35*c*o - 7*c - o**2 + o - 594 wrt c?\nAnswer: -74380*c**3*o**2 - 171504*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3444)\/17160 + (-4)\/26. Let n = l + -1\/22. Which is the closest to 2\/5? (a) 3 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {k: 5, t: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 18*z - 86. Calculate the lowest common multiple of 10 and v(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(208)\/(1*sqrt(1152)))\/((sqrt(12)*-3)\/sqrt(6)*-1))**2.\nAnswer: -13\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87161\/10 - 8724. Let h = 118\/23 - 1823\/46. Find the common denominator of h and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 7:22 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 719.207 + -1.207. Let u = b - 721.89. Let d = -0.11 + u. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + (2 + (-9 - -8) - 12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9965 is divided by 9831?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**5 + 1445622*f**4 - 8673660*f**3 + 17347272*f**2 - 11564832*f.\nAnswer: -3*f*(f - 481868)*(f - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 4:47 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + v. Let q(o) = 8*o**2 + 5*o + 6. Let t(k) = 5*i(k) + q(k). Let z be t(-10). Let c = z + -144. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -425*w**3 - 7*w**2 + 3 + 4*w**2 + 426*w**3. Let o be a(3). Solve o = -3*t - 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19237 (base 12) to base 8.\nAnswer: -107413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 11*d - 10*d + 65 = 0, -2*d = -4*r - 66. Let v(i) = -808*i - 1. Is v(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of 0*m**4 + 0*m**3 + 0 + 13*m**2 + 7\/120*m**6 + 13\/60*m**5 + 0*m. Find the third derivative of p(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 83706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {t: 5, f: 1, x: 4, q: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-102)\/(-126) - 1)*12\/8.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -6763060.\nAnswer: -3381530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -14*o - 538. Let h(u) = 3*u + 2. Let k(b) = 10*h(b) + w(b). What is the first derivative of k(c) wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 7 - 1. Suppose 0 = -3*w + 5*v + 95, 3*w - 124 = -w + 4*v. Suppose 0 = -0*b - 5*b + w. Solve -d + m*s = -4*d, -d - 4*s + b = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(550)*5)\/(sqrt(11) - (sqrt(77)*2)\/sqrt(7)).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33040)\/(-8850)*(-10)\/24.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from joojojmjomm. Give prob of sequence omjo.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 - (-6 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + d - 17 = 0, -130167*g - 4*d = -130172*g - 38 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321909 is divided by 63767.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239241 is divided by 238540?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 136, -53, 3\/2, 4.72?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 191 - 2*i**5 - 192 + 0*i**5 + ((2*i - 3*i - i)*(3*i**2 + 2*i**3 - 3*i**2) + 14*i**4 + 22*i**4 + i**4)*(-2*i + 1 - i + 1).\nAnswer: -101*i**5 + 66*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 - 68 - 50 + 5*g + 186.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*u + 3. Let j = 0.1 - 0.2. Let z = j + 4.1. Put u, z, -3 in decreasing order.\nAnswer: z, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 u, and 1 p when three letters picked without replacement from {u: 1, p: 1, a: 1, r: 2, c: 1, l: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1208687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1008))\/(-6*sqrt(8)\/sqrt(4)))\/(sqrt(7) - (sqrt(343) + sqrt(343)*-1) - sqrt(28)\/(sqrt(4)*3)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from annawiainnnunaaiaaa. Give prob of picking 1 a, 1 n, 1 i, and 1 w.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1105 + 233153?\nAnswer: 234302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*x - 220*x + 28. Let j = 4 + 1. Suppose -45 = -5*g + j*r, 4*g + r - 2*r = 39. What is the remainder when g is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (5 + (1 - (21 - 5)) - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*k - 782*k**2 - 14*k - 47*k + 78*k as l*k + f + x*k**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009831 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -3*j, 3*j - 21 = -3*q - 9. Solve -2 = 2*c - 10*r + 9*r, -j*c - 5 = -r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 78999 + (-4 - (2 + -7)). What is g rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -29, 22, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfz when three letters picked without replacement from rbhsbsssrbzbsbbrf.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 8*t**2 + 8*t + 7. Let v be f(7). Let d(l) = l**2 + 2*l - 1. Let a be d(-3). Calculate the greatest common divisor of a and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/189*(-48)\/8.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2940 - -4987. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4\/4 + 25*k**3 + 165*k**2\/2 + 85*k + 115\/4.\nAnswer: -5*(k - 23)*(k + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 9 + 13*m**2 - 2*m**3 - 7. Let q be f(13). Find the first derivative of 8 - 3*s**q + 1 - 2*s**2 - 4*s**2 wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006a8 (base 13) in base 3?\nAnswer: 1101210012212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -111, -3\/7, -1\/5, -2\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 398935 >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 1739. Let j(k) = -k + 4. Determine 4*j(o) - z(o).\nAnswer: -2*o + 1755","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o - 32 = 8*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.67889 micrograms in grams?\nAnswer: 0.00000267889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 3*d**2 + 3*d - 4. Let y be i(-4). Suppose -3 + y = -a. Suppose -2*g = 3*p - 2*p - 8, -a*g = p - 11. Solve 4*l = 3*l + p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 123*x**3 + 11*x**2 + 12*x - 139. List the prime factors of f(5).\nAnswer: 23, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s = -48. Let y = s - 7. Suppose 5*m - 10 = -2*w, y*w - 25 = 2*m + 2*m. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-3) + 1)*(-12 - -6). Suppose z*r = 14602 + 37874. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11*f**3 - 13*f**2 + 13*f + 11. Let a(z) = 5*z**3 + 6*z**2 - 6*z - 5. Let q(k) = -k**3 - 9*k**2 - k + 4. Let x be q(-9). What is x*a(p) + 6*l(p)?\nAnswer: -p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -309 + 3282*p - 94*p + 309 to the form d*p + z and give d.\nAnswer: 3188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 1946 = -7*f + 1010 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 46333, 46336, 46339, 46342, 46345?\n\"Answer: 3*n + 46330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(2\/(-1)))\/(34\/(-17))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/31)\/f)\/f**(6\/7))\/(f**(-2)*f*f*f**(-2\/5)) assuming f is positive.\nAnswer: f**(-1511\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*p - 5*i - 215, -4*p - 2*i + 148 = 0. Let m be (-6)\/6*(-15)\/3. Let v = p + m. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from qqkkkyqqq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 2*h + 4. Let d be x(-3). Suppose -4*b + 0*b + d = 0. Let t be b*(-1 + (-6)\/(-4)). Solve s - 3*s = t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 16\/3*y**3 + 0*y - 93 + 0*y**2. Give p(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29\/25 + 676\/475. Let u = -11\/114 + y. What is the nearest to 1\/3 in -2, -5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88674 divided by -1326\nAnswer: 14779\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**4\/4 - 2*t**3\/3 + t**2 - 878. Let j(c) = c**3 - c - 1. Let l be -3 - (-1 + -2 + 2). Determine l*j(r) - d(r).\nAnswer: -r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-36))\/((-15)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*y - 558*y - 410 = 0. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/12, -8, 0.09, 7, -0.2, -0.1 in increasing order.\nAnswer: -8, -0.2, -0.1, 0.09, 11\/12, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*d*h**3*u - d*h**3 - 162*d*h**2*u - 3*d*h**2 - 2*h**3*u - h**3 - 2*h**2*u wrt h.\nAnswer: -300*d*u - 6*d - 12*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1485068 or 1484433?\nAnswer: 1485068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 32*d + 0*d**2 + 0 + 1\/6*d**4 + 0*d**3. Let f(r) = 2*r + r - 7*r. Calculate y(f(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 206842315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*l - 3 = 0, 19*t - 49*t = -35*t + 13*l - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i)*(-4*i + 5*i - 2*i) - 27*i**2 - 66*i + 66*i + (2*i**2 + i**2 - 4*i**2)*(-3 + 0 + 4).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y - 26*y - 9*y**3 + 33*y**3 + 38*y.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -3*q**4\/4 - 59*q**3\/2 + 30*q**2 - 8*q - 14. Factor n(m).\nAnswer: -3*(m + 20)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1010 is divided by 87.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -932 - -935. What is the remainder when 32 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 - 3 + 6*h**2 + h + 3*h**3 + 3*h + h. Let t be i(-5). Let o be t + (0\/(-2) - -3). Solve o = 4*l + 8 + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319*h**3 + 255*h wrt h?\nAnswer: -1914*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 164*w - 158*w. Suppose 0 = 12*p - 51 + w. Put -2, p, 0, -5 in decreasing order.\nAnswer: p, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -171 + 170.3. Which is the closest to -1\/2? (a) g (b) -0.2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 27*v**2 + 12*v + 94. Give j(-28).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -729*w + 5337 = -890*w + 1312 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 74. Let u = f - -26.5. Let m = u + 6.50053. What is m rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 6*s**2 - 14. Let p be (16\/(-12))\/2 + 23\/3. What are the prime factors of z(p)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 82 - 49. Let l = c - 32.392. Let i = l + -55.408. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11538, -11634, -11730?\nAnswer: -11826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 147.947 and -0.14.\nAnswer: -20.71258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(176) - sqrt(176))**2 + -4)*-6.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 890386481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 105*k**2 - 217*k - 292. What is q(-107)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -0.5, -21\/21004, 3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (529 - 786 - 1566)*(-i - 3*i + 6*i)*(2*i - i - 3*i).\nAnswer: 7292*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 7) in base 6?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.14, 2.6, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 7:31 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0296, -0.8, -2\/5, 4, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 397 - 393. Suppose -t*o + 1429 = -y, -4*o - 573 + 1982 = 3*y. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*19\/(-95)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 3}. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-477 - 333 + 84074*a - 194686*a - 105565*a + 810)*(a**4 - 2*a**4 + 3*a**4).\nAnswer: -432354*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**2\/7 - 9684*q\/7 = 0.\nAnswer: 0, 2421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:32 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 456.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 165 - -4?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56559?\nAnswer: 3, 17, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9*n - 3. Let x be z(-6). Suppose 2*y - 167 - 82 = 3*t, y - 129 = 3*t. What is the greatest common divisor of y and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -0.54. Let f = p - 1. Let q = -1.04 - f. Which is the closest to -1? (a) q (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1585*v - 16. Let z(p) = 1056*p - 9. Give -5*b(s) + 8*z(s).\nAnswer: 523*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -1. Let u = -1.001 - j. Let c = u + 0. Round c to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4)*-1)\/(41\/82).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-1 - 28\/(-20)) + (-2823)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivaiivsiaayq. Give prob of picking 1 v, 1 a, and 1 y.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**2 - 1. Calculate n(-4).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -85. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.53485 + 3105\nAnswer: 3139.53485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38750 + -54938. Let y = -23333 - d. Let w = -26145 - y. What is w rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {n: 6, z: 4, v: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, p: 2, a: 12, f: 1, v: 2}. What is prob of picking 2 v and 1 p?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -8. Let p(c) = c**2 + 11*c + 5. Let l be p(u). Suppose -l*y = -2*j - 50, 5*y - 2*y - 30 = -3*j. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 47*q**2 + 32. Let x(o) = -93*o**2 - 59. Let z(a) = 5*c(a) + 3*x(a). Let t(w) = 15*w**2 + 6. What is -17*t(r) - 6*z(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1864*m + 114213 = 1875*m. List the prime factors of m.\nAnswer: 3, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2101 + 21?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*o = 56 + 154, -4*y - 3*o - 165 = 0. What is the units digit of (y\/10)\/(3\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324505 a multiple of 1576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 1. Let t be p(1). Let d = -5636 + 5632. Sort d, t, -7 in ascending order.\nAnswer: -7, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 - 6*k**2 - 13*k + 1. Let y be a(-10). Calculate the greatest common divisor of y and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 less than -873788598307?\nAnswer: -873788598433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*s - 3 + 19, 0 = 4*v + 2*s + 2. Suppose 4*r = v*r - 4. Put r, 2, -0.1 in decreasing order.\nAnswer: 2, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(22))\/sqrt(2) + -3.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - 7b067?\nAnswer: -7b070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58154517, -58154506, -58154495, -58154484?\nAnswer: -58154473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let n(o) = 2*o**2 - 783*o + 204. Calculate u(n(b)).\nAnswer: 4*b**2 - 1566*b + 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 s when three letters picked without replacement from ooooooooqussousuq.\nAnswer: 27\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -69, 0.3, 77, -5, 2, 7\/5?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**3 - 5*u**2 - 3*u + 7. Let w(h) = -h**3 + h**2 + h - 1. Determine -s(q) - 4*w(q).\nAnswer: -7*q**3 + q**2 - q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c + 3*c)*(228*c**4 - 1522*c**2 + 1522*c**2).\nAnswer: 456*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4674, 9915, 15156, 20397?\nAnswer: 25638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1894\/795 or -2?\nAnswer: -1894\/795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-42)*(-162)\/135?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 335, 966, 1891, 3098?\n\"Answer: -2*r**3 + 165*r**2 - 156*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 422, 834, 1244, 1652, 2058?\n\"Answer: -c**2 + 415*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + 5 - 85\/(-17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/41 at most -31\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27.5 - 27. Let r = -1.7 + 0.7. Which is the nearest to 7? (a) k (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 18*u + 22. Let m(j) = 5*j + 5. Let n(a) = 9*m(a) - 2*z(a). Determine n(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*z + 39*g = -445*z + 43, -3*g - 2 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 1111898*w + 618158581202.\nAnswer: (w - 1111898)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370592 and 174640.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -18*b - 84. What is y(-7)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4043 + -4044. Which is bigger: -34\/269 or p?\nAnswer: -34\/269","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/840 - z**6\/40 + z**5\/12 - z**4\/3 + 107*z**3\/6 - 22*z**2. Let w(f) be the first derivative of a(f). Calculate w(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-5)*(-255)\/(-102).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 20*q - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 77. Let m(w) = -w + 5. Let c be m(-7). Calculate the highest common divisor of d and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 577 + -5198\/9. Calculate the common denominator of t and -36\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 7*z + 2*z)*(4*z**2 - 3*z**2 + z**2) + 2*z**2 - 34*z**3 + 4 - 4.\nAnswer: -38*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 6515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 13. Let t(z) = -z**3 + 9*z**2 + 10*z + 6. Let v be t(10). What is the highest common divisor of v and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3 + 1002*n**2 + 24912*n + 151200 = 0?\nAnswer: -12, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4552 - -4548. Let q = 1 + -3. Let v be (2\/4)\/1*0. Which is the nearest to v? (a) 3 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/242373 and 50\/21?\nAnswer: 1696611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a - 2935 + 30688 = 0. What are the prime factors of a?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 375 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/23 in 4, 3, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170670502, 170670508, 170670514, 170670520, 170670526?\nAnswer: 170670532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65409 divided by 21803.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -10*j - 288. Let c be m(-29). Let a be -5*(1 + 32\/(-20)). Suppose -b - 8852 = -4*h, b + 4426 = c*h - a*b. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2734 - 1443 = 136*a - 8560 + 467 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 + -264. Solve n*z - 15 = -3*b + 9, b - 9 = -2*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 28*y**2 - 15*y + 78. Give q(4).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 37, 3444, -28 in increasing order.\nAnswer: -28, 4, 37, 3444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3484.218 micrometers to kilometers.\nAnswer: 0.000003484218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45970 = -304*y + 42322 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.35 - 0.05. Let r be 36\/(-42)*-5 - 4. Sort -13, v, r in ascending order.\nAnswer: -13, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 - -4.01868?\nAnswer: 4.00568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1008 is divided by 329.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4837357.\nAnswer: 7, 691051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1815909695?\nAnswer: 5, 241, 1506979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:33 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.28 times 2?\nAnswer: 358.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29246 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and 0.23?\nAnswer: 0.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 86 (base 11) to base 6\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4014 + 0?\nAnswer: 4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7368, 7286, 7206, 7128, 7052, 6978, 6906?\n\"Answer: y**2 - 85*y + 7452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/3)))**(1\/4)\/(m*(m\/(m\/(m**(-8)\/m))*m)\/m)**(1\/30) assuming m is positive.\nAnswer: m**(13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 538994\/11 or -0.6?\nAnswer: 538994\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1515*y - 841?\nAnswer: -1515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*y = 58175 - 9600 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 13*s**2 + 19*s - 44. Let j be u(-10). Suppose 21*c = -c + j. Let q(x) = -3*x - 1. Determine q(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 252129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 266663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-15))\/((-2)\/20). Is (-6)\/(m - (-6)\/2) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57701 + -0.222.\nAnswer: -57701.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, 15.6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 5*g - 2 = 0, -2*t + 6 = 3*g - 12. Calculate the highest common factor of 36 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) -1.3 (b) 1240 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) - -1*sqrt(384)).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -z + 5. Calculate the smallest common multiple of 4 - 28\/4 - (2 - z) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2921296 is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence he when two letters picked without replacement from ohvej.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u + 6 = 0. Let n be u\/4 - 1\/2. Solve n = 2*p - 4*p + 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*4\/(-2))\/(4\/6). Suppose k*i + 84 = b - i, 3*b - 2*i = 262. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295365.\nAnswer: 3, 5, 7, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 4870*n**2 - 14603*n + 9734.\nAnswer: -(n - 4867)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 129 = -4*n, -2*n + 3*c + 61 = 124 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ytmmmyy. What is prob of picking 1 t and 2 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 - 41. Suppose 17*q - 20*q = -c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 - 11*k + 11*k.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/2)\/(-1))\/(2\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 11*p = 6. Let h be -3*(3 + 11\/(-4)). Let i be ((-3)\/(-4))\/(6\/4). What is the nearest to -0.1 in i, p, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q + 6. Let n = 306952 + -306946. Let o(h) = h + 1. Let a(g) = -8*g + 10. Let z(p) = a(p) + o(p). What is n*z(r) - 11*b(r)?\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.37452 years to centuries.\nAnswer: 0.8537452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = 622 + 573 - 1076. Let b(q) = 2*q**2 + 12*q - 20. What is b(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 10:32 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u, 27 = 8*n - 5*n + 4*u. Suppose -4*a + 210 = 78. What is the remainder when a is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(204)*-1 - sqrt(204)) + sqrt(204)))\/sqrt(12).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (4584\/252 + -18)\/(-6)\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6374 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37)\/((((-3875)\/75)\/(-31))\/(5*2\/9)).\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*i = 3*c - 8, 2*i = -4*c + 14. Let l = -4 + c. Solve l = -4*k - k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 339 - -1338. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 29. Let r(s) = -5*s - 7. Let p be r(l). Let n = p - 14. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r + 0*r + 4*r)*(4*r**2 - 4*r**2 - r**3) + (-9*r**4 + 12*r**4 - 4*r**4)*(0 + 0 - 2) to g*r**4 + f + p*r**2 + l*r**3 + c*r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*b = 5, d + 2*b + 0*b + 1 = 0. Let f be 2 - 1*(2 - -2). Let u be f\/(-10) - (-260)\/(-50). Sort -8, u, d in ascending order.\nAnswer: -8, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 5:19 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 107*h**2 - 708*h - 920. What is k(-113)?\nAnswer: 2470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s - 50 - 160 - 3*s.\nAnswer: -2*s - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4478286 and 8920?\nAnswer: 89565720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 481766, 1\/4 in decreasing order.\nAnswer: 481766, 6, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55825944?\nAnswer: 2, 3, 2326081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 - 31. Let s(n) = -6 - 14 + j - 8*n + 17*n**2. Is s(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 622 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1700)*-1*-1 + sqrt(1700)))**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*x**2 - 31 + 11*x**3 - 11*x**2 + 4 wrt x.\nAnswer: 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-150)\/7)\/(8\/(-56))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Suppose -a + 31604 = -u*g, -2*a + 48237 = 2*g - 14959. Suppose -6*l = -2*l - a. What is l rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = b + 27. Let r(z) = 13*z**2 - 198*z - 132. Let g(c) = -18*c**2 + 276*c + 185. Let k(l) = -18*g(l) - 25*r(l). Calculate k(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/11 - 40*b**4\/11 - 174*b**3\/11 + 216*b**2\/11 = 0.\nAnswer: -12, -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 13. Let w be z(6). Let f(g) = -6*g**3. Let y be f(1). Let s = w + y. What is the closest to s in 0.3, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c + 46 + 5*c - 17*c. Let f be l(22). Suppose 0*o + 22 = f*o - 2*n, 2*o = 5*n + 37. Let b(v) = -v**2 + 8*v - 5. Calculate b(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23.11193193 - -0.5\nAnswer: 23.61193193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15108 divided by -4\nAnswer: 3777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134094 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -13958 + 309. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12433\/80 - -773\/5. Find the common denominator of -67\/44 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.1. Let i be -2 + 4*9\/3. Suppose 0 = 15*c - 13*c - i. Is c not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/39)\/(168\/(-2548)*7))\/((-16)\/10).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220995 is divided by 3195?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.4, 467, -14, 2\/5, 1\/3, 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 1:54 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, -3*t - 12 = -g - 36. Let y(o) = o**3 - 9*o**2 + 12*o + 16. Let a be y(t). Solve -5*n - 4*b - 15 = 0, a*n + 27 = -5*b + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 19 = 4*z + 2*h, -4*z = 5*h - 13. Let t be (-39 + (-2)\/(-2))*(5 - z). Let p = t + -57. Calculate the remainder when 53 is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1235 and -4\/91.\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 1746*p - 1744*p + 7, 4*z - 29 = 11*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(1\/4)\/m)*m)**27*(m**(-1\/3)\/m)**(-40) assuming m is positive.\nAnswer: m**(1531\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2. Let b be o(1). Let z be -5 + 18 + 11 + 4. Solve f = -f - 4*x - 20, 0 = b*f + 5*x + z for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 13*n - 48. Calculate d(7).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656*j - 10856 = 296 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 147 - 27 = 0. Let x = 20 - v. Let i(c) = -2*c + 1. Let j(a) = a + 1. Let p(k) = -i(k) - 5*j(k). Give p(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 175*n**2 + 482*n - 248*n - 241*n in the form a + y*n**2 + t*n and give y.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 1.558.\nAnswer: 3.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*p + 18242 = -2040*p - 16142 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (9 - (0 + 3) - 8).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/1)\/(-2)*-15. Let j(p) = -p - 1. Let y be j(-6). Calculate the highest common divisor of c and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 14.8.\nAnswer: 2.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3558*o**3 - 8239*o**3 + 426*o**3.\nAnswer: -11371*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (164*161\/118818)\/(1\/(-1))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 75*h**2 + 56*h**2 + 95*h**2 + 8 - 56*h**2 to w + x*h**2 + o*h and give w.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2625 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392033983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3929 is divided by 1303.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*r**4 - 4538*r**3 + 9977 wrt r?\nAnswer: -36*r**3 - 13614*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 4*v**3 + 2*v**2.\nAnswer: 2*v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*i - 8810 - 12610. List the prime factors of i.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/2)*r)**(-3\/35)\/(r**24\/r**(1\/5)) assuming r is positive.\nAnswer: r**(-241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 5*o - 3*o + 4*o - 2*o - 3*o + (-2*o + 3 - 3)*(1 - 1 + 2) + o + 3 - 3 + 4*o - o - 4*o)*(0*o - 4*o + 2*o)*(0*o**2 - o**2 + 4*o**2).\nAnswer: 36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w**2 - 45*w + 6. Let i(x) = -5*x**2 - 23*x + 2. Give 2*b(d) - 5*i(d).\nAnswer: 3*d**2 + 25*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 312?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 5*t - 5. Let z = 108 + 1. Let j = 113 - z. Give q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjwewwwwjwjjwwjw. What is prob of sequence ww?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7672052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*v - 5 - 0, 4*o + v - 13 = 0. What is the tens digit of o + 44 + (-9)\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5 - 7*o**4 - 19*o**3 - 5*o**2 + 4*o = 0 for o.\nAnswer: -1, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122334 + 2323?\nAnswer: -120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/((-3)\/(-1)) + (-33)\/(-8)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75*w**4*z + 2025*w**4 - w**2*z + 301291*w*z wrt w?\nAnswer: 1800*w*z + 48600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -7*v - 2. Let z = -7 + 13\/2. Let x = -119 + 123. What is the closest to v in x, 2\/21, z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2. Let r(o) = 16*o + 0*o - 10*o. Give r(h(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.7 + -2.5. Let k = -14 + q. What is the third biggest value in 1\/4, -5, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q*r**2 - 51*q + 4*r**3 + r**2 with respect to r.\nAnswer: -6*q*r + 12*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**4 + v**2 - 3*v + 1. Let f(z) = 56*z**4 - 84*z**3 + 76*z**2 + 144*z - 24. Let w(a) = f(a) + 24*r(a). Factor w(t).\nAnswer: 4*t*(t - 9)*(t - 2)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + -18 + 20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 0*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5621237 divided by -1\nAnswer: -5621237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 632 and 408933388?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 5483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 49806?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(66) - sqrt(66)*5) + sqrt(66) + 2*sqrt(66)*1)\/((1*1*sqrt(6) + -1*sqrt(864))*4).\nAnswer: 21*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8937 + -8931. Which is the biggest value? (a) 1\/4 (b) -1 (c) 4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h**3 - 8*h**2 + 20*h + 31. List the prime factors of y(7).\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1062318*k**2*s**4 - k**2*s**3 + 45*k**2*s**2 - 530*k*s + 4*s**2 wrt s.\nAnswer: 25495632*k**2*s - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/638 and -89\/5104?\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -504984 (base 10) to base 8.\nAnswer: -1732230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(15\/6)*5\/(-8)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - -38.07. Let l = -37.99776 + g. Round l to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 3. Let d be r(6). Let s(w) = w**3 - 8*w**2 - 10*w + 5. Let l be s(d). What is the tens digit of (l\/12)\/(1\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1258*a**2\/5 - 899478*a\/5 + 1144 = 0. What is a?\nAnswer: 4\/629, 715","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(4114)*2 - sqrt(4114))\/(-2*sqrt(98)).\nAnswer: 33*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 3*o + 2 - 34, 14582*o + 24 = 4*c + 14584*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-3)*o))\/o**(-9)*o**(-1\/7)*o**3 assuming o is positive.\nAnswer: o**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) -1\/5 (c) 471 (d) 0.1 (e) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.029? (a) -2\/11 (b) -2\/3 (c) 4\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 568637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 2*p**2 - p**2 + 133*p**3 - 73*p**3.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let t(q) = 4*q + 2. Determine 2*b(m) - t(m).\nAnswer: -6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2306)\/(-812) + (-48)\/(-1176)*140\/40.\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13523275 and 31075?\nAnswer: 2825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 8*b + 13. Let x be d(9). Suppose -4*p + x = v, 6*v - 3*v = -4*p + 26. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 4 = -2*j, 0 = -3*j - q + 484 - 468 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13361 (base 7) to base 15\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 888823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 3:58 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -850ed (base 16) to base 15.\nAnswer: -ab73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 820*s - 9743. What is x(-12)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 = 2*a, -a = 4*w - 6*a - 30. Let z = w + -2. Differentiate 5*t**2 - 2*t**z + 1 - 5*t**2 with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110)*6 + sqrt(110) + sqrt(110))*-4 - sqrt(110)) + -3*sqrt(110)*2)\/(-6*(sqrt(90) - -1*(-5*sqrt(90) - sqrt(90)))).\nAnswer: -13*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 1. Suppose 531 = -5*j - 0*j + 2*y, 6 = -u*y. Let s = j - -364. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3200 and 7360?\nAnswer: 73600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**3 + 6*q**2 - 3*q**3 - 2 - 4*q - 2*q. Let x be u(5). Let k(m) = -m**3 - 6*m**2 + 5*m - 7. List the prime factors of k(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**3 - 12*b**2 - 14*b - 2. Let f be j(-8). Suppose -10*l - 439 = -s - 6*l, 0 = -2*s + 5*l + f. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (49 + -20 - -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61278571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 8, d: 1, s: 3, o: 2, g: 1}. What is prob of picking 1 o, 1 g, 1 f, and 1 s?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h = -37*h - 3258. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471990272?\nAnswer: 2, 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -3*x + 256. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23423 (base 13) in base 9?\nAnswer: -107325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108.7 + -339.3. Let o = f + 447.7. Let x = -282 + 3100\/11. Which is the second biggest value? (a) o (b) -0.5 (c) 5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*y = -96, 6*r - 51*y + 22*y = 3*r - 30*y + 88 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82519540373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 38 = 14*t. Suppose 4*n - t*p - 2 - 2 = 0, -2 = -2*n - p. Solve -5*v = -2*r + 17, r - 5 = 2*v + n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 1. Let k(j) = -4*j + 24. Let y(d) = -7*d + 56. Let p(m) = -9*k(m) + 4*y(m). What is -p(h) + 6*r(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v + 19. Let a be n(-4). Let x be (1 + -5)\/(4 + a\/2). Calculate the highest common divisor of x and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 633, 0.1, 0.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 14*l + 39. Let b(z) = z**2 - 2*z + 5. Let x(y) = -3*b(y) - u(y). Let p be x(17). Let v = 44 - 95\/2. Which is smaller: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(154)\/(2*sqrt(7)))\/(sqrt(396)*1).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2821508*h**3 - 2*h**2 - 2*h + 3. Let b be w(2). Let q = 47672055 - b. Round q to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b + 1. Let y(o) = -19*o**3 - 13*o - 4. Let i(t) = -4*j(t) - y(t). Find the second derivative of i(r) wrt r.\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpuviuhivvphvupvpv. What is prob of picking 1 h, 1 p, and 1 i?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506305 and 545?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 315\/(-525) - 28\/(-5). Suppose 5*j = -2*v + 4, 6*j = 3*v + 2*j - 6. Solve 0 = -i - d + v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 + 30*q**2 - 54*q + 18. Let a be p(13). Let o = 1 - 3. Sort -3, a, -5, o.\nAnswer: a, -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9060.93 meters?\nAnswer: 9060930000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(432) - sqrt(432))*1 + sqrt(432) + sqrt(432) + 5*(sqrt(432) - sqrt(432)*-2))**2 + 1*(-4*sqrt(432) + -1).\nAnswer: 360*sqrt(3) + 124848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -1, -1\/3, -17\/1134 in ascending order.\nAnswer: -1, -1\/3, -17\/1134, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 - 241620*r**2 + 241625*r = 0 for r.\nAnswer: -48325, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - ((-7 - -8) + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2925275 is divided by 60?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (((156\/2)\/(-6))\/5)\/(-16*(-41)\/(-6560))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s - 36. Suppose -8*j = -s*j + 48. Solve 3*n + 3*n - j = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181836272?\nAnswer: 2, 317, 35851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3*u**(2\/13)*u*(u**(-2\/7))**(-25) assuming u is positive.\nAnswer: u**(1028\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61.1 - 61. Let m = 0.1 - -0.9. Let s = 0 + m. Which is the third smallest value? (a) s (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:02 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.0534 times 2\nAnswer: 0.1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8224 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211839 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -2\/11 (c) -1.35 (d) -0.129\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 249 = 4*u. What is the greatest common factor of u and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18702 or 53?\nAnswer: 18702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j - 3*j**2 - 38*j + 27*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078232 divided by 4?\nAnswer: 269558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5 = 17. Suppose -21 = 4*t - 9. Let w be (t\/3)\/(1\/i). Calculate the highest common divisor of w and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -811.5 - -662. Let k = s + 110. Let j = k - -33. Round j to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from hyhhhyehyyhhhhhhhy?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.41 + -0.81. Let k = -16 - -24. What is the biggest value in f, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 38.9999989. Round v to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - ((-6 + 0)\/1 - -6). Let f(x) = x. Let k(u) = -11*u. Let l(v) = -f(v) + k(v). Let w(a) = a. What is p*l(d) - 32*w(d)?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d + 4*n = 4, -4*n = 3*d - 4. Solve 5*s + 3*k = d, -28 = 2*s - 3*s + 5*k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 divided by 55182?\nAnswer: -143\/27591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-23)\/(-10948))\/(((-5)\/5)\/(-7))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 13.9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 4. Let y = 8 + -3. Solve -q = 2*s - y*r, -2*r = -3*s - 7*r + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a - 14*a + 22*a - 40*a + 16*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67 + -67. Let h be 1*m*(-2 - -1). Let z be ((-6)\/(-4))\/(2\/4). Solve 4*i + z + 1 = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -47, 0, 9 in descending order.\nAnswer: 9, 3, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -237b (base 15) to base 10\nAnswer: -7541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 10) in base 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**2\/2 - 2*k + 17. Let f be h(-1). Let g be (6\/(-1) - -2)*f. Solve g = 2*d - 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2513005058.\nAnswer: 2, 619, 2029891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -159294012, -159294013, -159294014, -159294015, -159294016?\n\"Answer: -u - 159294011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 178*w + 336. Let q(g) = 5*g**2 + 355*g + 670. Let z(n) = 5*d(n) - 3*q(n). Find h, given that z(h) = 0.\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*i - 10 = 0, -1 = -c - 4*i - 5. Let n = -157 + 162. What is the second derivative of 8*z**5 - 80*z**4 - 5*z**n + 80*z**c - 27*z wrt z?\nAnswer: 60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 135 = -26*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-7)\/3*-3. Let r = -9\/29 + -2\/87. Which is the nearest to r? (a) 3 (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2770800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*-4*(sqrt(19) + sqrt(76)*-5)*2)**2*-5.\nAnswer: -492560 + 2880*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/5 - (-2)\/((-10)\/(-3)). Let b = 0.008 + -5.008. What is the nearest to 2 in n, -3, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 3*q + 3*q. Let i(n) be the third derivative of n**4\/24 + 3*n**2. Let d be 5*30\/(-25)*-1. What is d*o(t) + 11*i(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*f + 564*f + 106 - 121 = -5*o, 11*o - 35 = -2*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1924)\/(-8))\/(1\/(-58)). Let w = -69112\/5 - c. Let a = w + -127. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -8 (c) 73237 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 851830, 1703339, 2554848, 3406357, 4257866?\nAnswer: 5109375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58.7 + 63. Let p = j + -35.3. Let m = p - -21. Is m bigger than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/40 + 361*c**5\/20 - 11*c**4\/3 + 5*c**3\/2 - 9361*c**2. Find the second derivative of h(a) wrt a.\nAnswer: -18*a + 2166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 315.0813 milligrams to grams.\nAnswer: 0.3150813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.29 - 1.341. Let d = v - -0.545. What is d rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dq when two letters picked without replacement from {e: 1, f: 2, d: 3, o: 4, q: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*u + 233 + 43 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8 - (-94)\/(-14))*35. Let k(g) = 32*g - i*g + 20*g. Let n(u) = -31*u**2 - 13*u. Let s(m) = -5*m**2 - 2*m. Let x(a) = 6*n(a) - 39*s(a). Give k(x(w)).\nAnswer: 63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 137590.6?\nAnswer: -137590.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*x**4 + (6*x - 6*x + 20*x**3)*(-3 + 2 + 2)*(-3 - 2 + 3)*(-6*x - 2*x + 4*x).\nAnswer: 162*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - 47*z + 46*z - 20*z**2 - z**3 - 2*z**2 + 3 to the form r*z + w + y*z**2 + q*z**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -853776 (base 15) in base 3?\nAnswer: -102221002202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10921 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3\/6 - 95*s**2\/6 - 1036*s\/3 - 6566\/3 = 0.\nAnswer: -67, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 139.1.\nAnswer: -278.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 903?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 14*h - 124. Let v be r(9). Let f(i) be the second derivative of 0*i**2 + v*i - 1\/12*i**4 + 0 + 0*i**3. Let o(m) = -m. Calculate f(o(p)).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-66)\/(-9) + 2\/3. Let n(g) = g + 3. Let p(k) = -k. Let x(i) = n(i) + 2*p(i). Let t be x(-5). Is t greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 13 - (1 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*c**2 + 71*c - 5638 wrt c.\nAnswer: -122*c + 71","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -0.293?\nAnswer: -2.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 26 + 10*n + 4*n**2 + 15 to x*n + c + o*n**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f + 2. What is k(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/((-56)\/(-14))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 228aaa4 (base 11) to base 8\nAnswer: 17176472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 57*f**2 - 119*f - 64. What is p(-59)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 171.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**3 - 23 + 132 + 78*k**2 - 81*k**2 to f*k**2 + z*k**3 + x + g*k and give x.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7409 + -7392. Let q = -0.02 - -4.02. What is the second biggest value in 3, q, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -6\/169 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -63, -97, -129, -159, -187?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s - 174277 = -7653. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 20*m**2 + 162*m + 493. Calculate d(-25).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4 - 43 = 3*m, -2*m - 5*b = 1 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.52 or -1\/57?\nAnswer: 1.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + 2*b)*(-3 + 2 + 0) + (2 - 4 + 1)*(0*b - 2*b + 4*b) - 4895 + 4895 - 35*b.\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -149.372 - 3?\nAnswer: -152.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82 - 71 + 26 - 34 - 5 - 49*n with respect to n.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 343465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15, 32, 63, 114, 191?\n\"Answer: h**3 + h**2 + 7*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44291859?\nAnswer: 3, 23, 71, 9041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5924*w - 5819*w - 9167 = -11640*w for w.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102 (base 6) to base 8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/2)\/y)**(-49)\/(((y*y**(3\/2))\/y*y)\/(y*(((y\/(y**(2\/7)\/y))\/y)\/y*y)\/y)) assuming y is positive.\nAnswer: y**(159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (671\/(-61))\/(23\/46).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/9, -1, -3\/11, -9.8, 1, 0.1458, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/30)\/(17 + (-12360)\/720).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i + 29*i + 10*i**2 + 20*i.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 489*q**2 + 484*q**2 - 1459*q**2 - 223*q + 487*q**2 + 223*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -1\/5*b**5 + 0*b + 1\/4*b**4 - 5 + 0*b**2 - 1\/6*b**6 + 1\/3*b**3. Suppose u(k) = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 260\/1091 - 5042\/12001. Let l be -1 + (-16)\/14 + 2. Put h, l, -4, 2\/3 in increasing order.\nAnswer: -4, h, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -0*g + g + 3*l, 193 = 3*g - 2*l. Let k = 2 + g. What is the remainder when k is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178786\/83 - -2154. Let a be 12\/(-225)*565\/(-166). Let g = a + r. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (2*-5 - 2). Find the common denominator of (4\/(-6))\/(m\/39) and 28\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3832.43 years to decades.\nAnswer: 383.243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22)*-2)\/sqrt(11))**2*5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d7 + 3?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/x**(1\/4))\/x)*x)**(-14)*(x**(2\/7))**(-8) assuming x is positive.\nAnswer: x**(-277\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 2:30 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82821 and 63.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 = 4*t, 0 = u - 4*t - 12. What is the nearest to u in 15, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2)\/(w*w*w*w\/(w**(3\/5)*w)*w)*(w\/w**2)\/(w\/w**(1\/9)))**(-1\/19))**(-1\/20) assuming w is positive.\nAnswer: w**(-82\/4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 - -58. Let g be (-140)\/c + (2 + -3)*1. Let x = 1.7 - 1.79. What is the closest to 0.2 in -4\/5, x, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297.0086, -4, 5\/4 in descending order.\nAnswer: 297.0086, 5\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - -1001021110200?\nAnswer: 1001021101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/21 - 204\/(-84). Sort x, -10, -3, 5 in ascending order.\nAnswer: -10, -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5368 and -53\/289872.\nAnswer: 289872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-33))\/((-20)\/55)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -115187 and 293.\nAnswer: -114894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 775 divided by 4?\nAnswer: 775\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2709277 and 162329.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -583*5.\nAnswer: -2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15, -33, -49, -51, -27?\n\"Answer: 2*a**3 - 11*a**2 + a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 38 = -2*v, 4*i - 2*v = -32 - 14. What is the remainder when 75 is divided by (-1)\/(4\/i)*6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 209\/4063478 or 0?\nAnswer: 209\/4063478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-20) - (-11)\/5. Let o(b) = -6*b**2 + 5*b**2 - 6*b**2 + 11 - 9*b**g. Let v(x) = -5*x**2 - 3*x**2 + 5*x**2 + 2. What is 2*o(l) - 11*v(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497 = -2*q + 75. Let x = 312 + q. What are the prime factors of x?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -19761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 11*m + 12. Suppose 5*d - 4*l + 305 = 0, m*l + 340 = d - 6*d. Let x = -61 - d. Solve x*z = -3*u - 7, -u = 3 - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 10. Is 13 a factor of 234\/15*i\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 3*r + 2*r)*(1 + 4 - 1)*(2*r - 4*r + 3*r).\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69842214 to the nearest integer?\nAnswer: 8357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3)\/(1122\/(-31977)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93639 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -2011?\nAnswer: 2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {g: 3, f: 6, a: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 7. Let s = -15.3 + t. What is the closest to s in -3\/4, -0.3, -3\/8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.019323*0.7\nAnswer: 0.0135261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -286*m**2 - 7*m. Let n be w(-1). Let v = n - -281. Factor 3\/2*r**v + 0*r**3 - 3\/4*r - 3\/2*r**4 + 0 + 3\/4*r**5.\nAnswer: 3*r*(r - 1)**3*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*36\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3*z - 20 = 0, v + 4*z = 13 + 5. Suppose v*o = 7*o - 160. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 f, 1 d, and 1 g when four letters picked without replacement from gfqggdddqftgqgofqf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**3 - 4*t**2 + 4*t + 9. What is the lowest common multiple of x(-3) and 51?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1176 = -52*c - 95*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*f - 2819, g + 4*f - 3274 = -452. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s - 5. Let a(r) = -57*r + 26. What is -a(z) - 4*g(z)?\nAnswer: 69*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.081 + -0.121. Let p = 0.04 + w. Put -0.2, -0.03, p in decreasing order.\nAnswer: p, -0.03, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (17075\/10)\/((-7)\/4). Let z = w + 978. What is the common denominator of -97\/6 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(17\/3)*g))**13*g**35\/((g\/(g\/g**(-6)))\/g) assuming g is positive.\nAnswer: g**(308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) - (-3393)\/(-65). Let f be -1*(w\/(-20) - 3). Let a be ((-4)\/(-6))\/(3*(-11)\/9). What is the second smallest value in a, f, -3\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1663052629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (65918\/(-6))\/((-231)\/693) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.8 + 13. Let u = 2 + b. Sort -0.2, u, 3 in descending order.\nAnswer: 3, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*i + 10, m - 39 = -4*i - 46 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxgvgvxwvgwmgv. What is prob of picking 1 x and 1 g?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36174007 rounded to the nearest ten thousand?\nAnswer: -36170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4817*t + 9592*t - 1683*t**3 + 1723*t**3 - 4775*t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + (sqrt(2299) + sqrt(2299)*-2 + sqrt(2299) - sqrt(2299)) + 5)**2 - ((sqrt(2299)*-1*-4 - (0 + sqrt(2299) + sqrt(2299))*3) + 1)**2)*-5.\nAnswer: 770*sqrt(19) + 34085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 39. Let g be i(0). Let v be (0 - -1)*-3*g. Let u = v - -376. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620*n + 18*n - 26768 + 6638 = 8*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-6))\/(1986\/(-50643)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7023*c**3 - 7*c**2 - 5*c + 23 wrt c.\nAnswer: -42138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - -2*(-10)\/(-4). Suppose -d + g = 2. Calculate the remainder when 31 - (d - 4) - -2 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*k + 92*k + 85*k - k - 3*k + 3*k + (2 + k - 2)*(3 - 5 - 3) to the form d + o*k and give o.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1256, 1287, 1322, 1361, 1404?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -21 + -71 + 91\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.7, 2\/19, 1\/10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1239612 or 1239614?\nAnswer: 1239614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 35 = -34*f. Sort 0, -36, f, -3 in ascending order.\nAnswer: -36, -3, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 5) to base 4\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/5 + 228532*t\/5 - 46786992\/5.\nAnswer: 4*(t - 204)*(t + 57337)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c8a - -78a51?\nAnswer: 77a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89363 is divided by 5580?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100002599 + 100002599 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1931, -473, 1057, 2695, 4477, 6439, 8617, 11047?\nAnswer: 13765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -1\/360*b**6 - 1\/120*b**5 + 0*b + 0 + 11\/6*b**3 - 1\/3*b**4 + 5*b**2. Let a(y) be the first derivative of c(y). What is a(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24.899 + 0.101. Let d = g - 14.8. Let l = d + -10.7. What is the smallest value in -1, l, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -1. Let x = b - 5. What is the remainder when 7 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -491614\/137 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6709 - 6709. Let -2*w**3 + 2*w**2 + 0 - 29\/2*w**4 + h*w - 21\/2*w**5 = 0. Calculate w.\nAnswer: -1, -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 52*c = -558 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78636 + 11580 = 72*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1231, 1225, 1219, 1213, 1207?\n\"Answer: -6*h + 1237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.5, -0.3, -4, -31.\nAnswer: -31, -4, -0.3, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 - 0.05. Let u = 10\/7 + -36\/35. Which is the nearest to u? (a) -1 (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -222764, -222755, -222746, -222737?\n\"Answer: 9*t - 222773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/9 - 52*i**2\/9 - 128*i\/3 - 64.\nAnswer: -2*(i + 2)*(i + 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1276594, 1276523, 1276450, 1276375?\nAnswer: 1276298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gdddgkkgkgdkokdgggk?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7148, -31154, -72008, -129710, -204260?\nAnswer: -295658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -2\/93, 5, 257?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*k**3 - 61*k**3 + 0 - 5)*(4*k + 3*k - 5*k)*(36*k + 14*k - 7*k).\nAnswer: -172*k**5 - 430*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37780 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 i = -0.087 + 0.087000695. Round i to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45278689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1919.5, -0.1, 0.4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*a + 5. Suppose -a = -2*k, -5*l - 3*k = 190 - 19. Let p be l\/10 - (-2)\/(-5). Let n(r) = -r**2 - 6*r - 4. Calculate n(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8557178 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1395 and 1620.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*f**2 - 91*f**2 + 6*f + 168*f**2 + 3*f**4 - 6*f**3 + 9 = 0 for f.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 5*b + 24 = 0. Let x = b - -10. Solve -2*f - n - 23 = 3*f, -5*n + 20 = -x*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62*j**4 - 394*j**4 + 9*j**2 + 92*j**2 - 39*j**4 wrt j?\nAnswer: -11880*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25, -3.2, -3, -5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**4\/6 - 43*r. Let d(v) = -v - 35. Calculate d(g(o)).\nAnswer: 2*o**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 36*s**2 - 3*s - 46. Let b be d(-18). Solve 10 = 9*h - b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -302\/37 - -47452\/111. Let h = f + -164792\/393. Let t = h - 5113\/262. Find the common denominator of t and -5\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2.2 (b) 1\/4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -28667 + 2*s**2 + 29725 - 2*s**2 + 2*s**2 - 2*s**3 in the form a*s**2 + n*s**3 + r + c*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(7\/9)*x**(-37)*(x\/(x\/((x*((x**(-1\/12)*x*x)\/x)\/x*x)\/x*x)))**42 assuming x is positive.\nAnswer: x**(797\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**4\/4 + 2*w - 42. Let d(a) = -23*a. What is t(d(g))?\nAnswer: -1587*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z - 30 = 0. Find r, given that -r**2 + 0*r + 9\/2*r**3 - z*r**4 + 5\/2*r**5 + 0 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 3*k. Let g be x(-2). Let q = g - -4. Calculate the least common multiple of 7 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 5765*g - 5765*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w - 4. Suppose -2*g + 10 = -z - 2*z, -4*z + 10 = 2*g. Suppose b = 6*b + g. Let c(r) = r**2 + r - 1. Determine b*k(m) + 3*c(m).\nAnswer: 2*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = -37*k - 133 + 98 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from manmnyaaaqam. Give prob of sequence na.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -18*r + 15. Determine y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18862171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, a: 4, z: 2, f: 2, k: 3}. What is prob of sequence kk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16591571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/305 and -7\/122.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = u - 7*b - 43, 0 = 33*b - 34*b - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, r: 5, a: 1, v: 7}. What is prob of picking 1 v and 1 a?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(-27 + 1 - 6).\nAnswer: 64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - g - 11 = -63, -345 = -94*b - 5*g + 136 - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 37*i**2 + 258*i - 3. Let j be f(-7). Calculate the highest common factor of j and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 5*v**2 + v**4 - 5*v**2 - v + 22 - 29 - 2*v**3 in the form s*v**2 + z*v + h*v**3 + i + x*v**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 260692836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((4 - 4) + -393). Suppose 3*w - 1802 = o. Suppose 104 - w = -4*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8848 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -337, -307, -263, -205, -133, -47, 53?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 0*l**4 - 49\/2*l**2 - 37\/30*l**6 + 0*l**3 - 64*l + 0 + 0*l**5. Differentiate k(y) with respect to y.\nAnswer: -148*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.9 - -4.7. Let k = -1.1 - -1. Put k, -3, t in increasing order.\nAnswer: -3, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**2 - 3. Let v(s) = 2*s**2 + 2. Let d(p) = 2*o(p) + 3*v(p). Let n(t) be the second derivative of 5*t**3\/2 + 47*t. Give n(d(h)).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671629.\nAnswer: 7, 95947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 91146.23 milligrams?\nAnswer: 91146230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/56*4942\/6707\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1720*s - 1180 = -1780*s + 3559*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vii when three letters picked without replacement from {v: 8, i: 5}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 1 - 10 + 7 to h + s*l and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -693, -1202, -1527, -1668, -1625, -1398?\n\"Answer: 92*d**2 - 785*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 11\/3 (c) -4 (d) 2 (e) -10.1 (f) 68\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (174666*i + 29 - 83 - 175171*i + 35 + 35)*(-2 - 1 + 1).\nAnswer: 1010*i - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3373899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -19b9a7 - b?\nAnswer: -19b9b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1200*n - 399*n + 4*n**3 - n**4 - 398*n - 8*n**2 - 405*n - 6 to the form z*n**2 + y + l*n**4 + h*n**3 + i*n and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 8)\/(-1) + -5. Suppose 3*r - 5 = 10. Suppose 320 = -n + r*n. Calculate the highest common divisor of k and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + -1 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 186 - 118. Let f = -68.00258 + j. What is f rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 145276 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: Let p(a) be the third derivative of 0 + 1\/4*a**5 - 19*a**2 + 0*a + 4*a**3 + 1\/72*a**6 + 0*a**4. Let x(m) be the first derivative of p(m). Factor x(f).\nAnswer: 5*f*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-16))\/((-15)\/(-20))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 88, 198, 342, 514?\nAnswer: 708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 504\/(-315)*10\/(-4). Suppose -47 = -3*w - 11. Suppose -3*f + w = -0*f. Solve k*m + t = 4*t + 32, -f*m + 2*t = -28 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Find the third derivative of -4*t**5 + t**2 + 18*t**b + 8*t**2 wrt t.\nAnswer: 840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -362.1 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 20 + 5*j + 2*j - 3*j. Let y be k(-8). Let s = 4 + -3. Put s, 5, y in decreasing order.\nAnswer: 5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1003 - 2328 = -m. What is the remainder when m is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 5.6?\nAnswer: -1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 - -55\/2. Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = -2*g, y - 10 = -g. What is the remainder when 32 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220 - -338. Suppose -5*q = b - 94, b + q = 2*b - m. Suppose -y + 4*y + b = 0. Round y to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-9)\/3)\/(77\/(-11) - 2). What is the nearest to z in 0.2, -3, 5\/4, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5592866915 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/6 and -139\/49248.\nAnswer: 49248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w*w*w**(-4)*w)\/(w**(-4)\/((w\/(w\/(w*w*w\/w**14)))\/w)) assuming w is positive.\nAnswer: w**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 2, -10, -5, -2, 1 in decreasing order.\nAnswer: 2, 1, -2, -5, -10, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1 - 3 + q**2 + q + 2*q + 0*q**2. Let n be i(-4). Suppose n = 2*v + 5*w - 42, -2*w + 7*w - 75 = -5*v. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/1)\/((672\/98)\/16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 9:34 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3))**(-28)*(b\/((b\/(b*b*b**(2\/3)*b))\/b))**(5\/7))\/((b**(-11)*b*b)\/(b**(4\/7)\/b))**(-30) assuming b is positive.\nAnswer: b**(-1646\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*p + 188 = 0, -b + 3*p = 2*b + 111. Let k = -9 - b. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 + -91. Sort 5, -1\/2, c, -0.24 in descending order.\nAnswer: 5, c, -0.24, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895518733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*d + 43746 = 0, -5*d - 8726 = 5*z - 81716. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - 4*v - 7. Let a(x) = 6*x + 9. Let k be a(-4). Let j = 20 + k. Determine w(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/7*3689\/31. Find the third derivative of -5*v - 7*v + p*v - 6*v**4 - 3*v**2 - 6*v - 2*v**3 + 0*v**4 wrt v.\nAnswer: -144*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -439461, -878963, -1318503, -1758081, -2197697?\nAnswer: -2637351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*y + 8*y + 13*y + 24*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:17 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/7 - 2*j**2\/7 + j\/7 + 2\/7 = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 8. Let o be j(-9). Let c(u) = -u**3 - 5*u**2 - u - 1. Let m be c(-5). Let f = m + -3. Are f and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/15 - (-94)\/(-10)*-62. Suppose -4*s = -5*f - 1059, f - 58 = 2*s - b. Let a = s + -84. 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: Find the first derivative of -3*a**2*s**2 + 3*a**2*s*w - 38*a*s**3 - 75*s**3*w wrt w.\nAnswer: 3*a**2*s - 75*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -23584.1153 to the nearest 10.\nAnswer: -23580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**2 + 8*n - 10. Let i be s(5). Let j = i + 47. Suppose -x + 5*o + 24 + 10 = 0, -4*x + j*o = -64. Solve -v + 4*c - 18 = -5, -v - 5*c = -x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 79\/(-166) + 11 + -8. Let d = h + -2\/83. Let z be (3\/5)\/((-1)\/(-5)). Which is smaller: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045948 to seven decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*i = 142 + 110, 0 = -3*c - 5*i + 256. Calculate the remainder when c is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -r, -3*r + 491 - 477 = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5.3. Let z = -3.3 - q. Let l be (-13)\/3 - (-2)\/6. What is the second biggest value in l, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -386575*t**5\/4 + 493735*t**4\/4 - 106227*t**3\/4 - 931*t**2\/4 - t\/2 = 0.\nAnswer: -1\/235, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 + 31737*a**2\/2 + 251666415*a\/2 - 2267569161\/2.\nAnswer: (a - 9)*(a + 15873)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 266643.036us?\nAnswer: 0.00000308614625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1187*j = -17834 - 52199 for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/55 and -41\/416490.\nAnswer: 4581390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10680*f + 1466*f**2 + 10680*f.\nAnswer: 1466*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7080 - 44233 = -2944*j + 34793 + 46374 for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3143554 (base 7) to base 8\nAnswer: 1347377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 - n + 0*n + 7*n**4 - n**4 - 4*n**4 + 3*n**2 - 2 to the form o*n + k*n**2 + c*n**3 + t*n**4 + u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 at least -418\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 17276248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18879 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 11742*y + 31 = 11740*y, 0 = -4*z - 3*y + 11 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2362913 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2*t**3\/3 + 37. Let o(z) = 52*z. Determine b(o(a)).\nAnswer: -5408*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16900 + 16896. Let w be (-26)\/(-117) - (-16)\/9. Sort 4, x, w in increasing order.\nAnswer: x, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of h**5\/60 + 5*h**4\/24 + 10*h**3\/3 + 6*h**2 + h. What are the prime factors of u(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 5c?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/184 and -101\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (52\/3 - 0)\/(70\/840)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 3*u**2 + 6*u - 2. Let m be n(4). Find the third derivative of -3*g**2 + g**m - 3*g**6 + g**2 + 0*g**2 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.401 and 3240.9.\nAnswer: 3240.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/80 in 0.2, 6, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbbbbbb. Give prob of picking 3 b.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (84 + -56)*24\/(-28)*1\/3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 28*d**2 + 42*d - 61. What is the hundreds digit of c(29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 1.5685.\nAnswer: -1.6685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 28 = 2*u, 6 = p + u + 2. Let y be (1 + 3)\/(p\/2 - 1). Suppose -5*h - 4*a + 1043 = -2*a, 3*a + 421 = y*h. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and -149.\nAnswer: 10132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3 + 10 = -5*b, 0 = 2*b + 5*f + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 + 0.05. Let v be 39\/9 - 2\/6. Suppose -w = -v*w. Which is the closest to w? (a) r (b) 2\/21 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 - 35*n - 24. Let c be y(-16). List the prime factors of (c + 1748)*(-1)\/(-4).\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 59*f**5 + 2*f**4 - 47*f**2 - 1.\nAnswer: 3540*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/171 and 31\/42267?\nAnswer: 2409219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (31 - ((30 - 6) + 30)) + -7 + 1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:22 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + 14?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 2*c**2 - 4*c**2)*(-831*c + 355*c - 503*c) + (-2*c + 0 + 0)*(-3*c**2 + 2*c**2 + 0*c**2).\nAnswer: -977*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12567?\nAnswer: 3, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/255)\/(-15) - 15\/(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3798 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000277076 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - p**2 + 2*p - 1. Let a(s) = -s**2 - 3*s + 5. Let k be a(-4). Let q be m(k). Is 2\/5*(q - -56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(153) + sqrt(153)*2 + sqrt(153) + sqrt(153))*3 - (sqrt(153) - 1*sqrt(153)*-6)))\/(sqrt(576)*-6 - sqrt(90)\/(sqrt(10)*-2)).\nAnswer: 16*sqrt(17)\/95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f. Let l(j) = -3*j - 25. Let w(p) = -l(p) - 5*q(p). What is the units digit of w(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + 3*u. What are the prime factors of k(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = 5. Suppose -f*c + 11 = -3*d - 39, -d = 4. Let y = c + -6. Calculate the remainder when 24 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*o - 12*o + 1. Let y be o + ((-3)\/2)\/((-45)\/120). Let -1\/3*f**4 - f - 5\/3*f**y - 7\/3*f**2 + 0 = 0. What is f?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/489614 and -95\/106.\nAnswer: 489614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81530*w + 80048*w + 356943*w.\nAnswer: 518521*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5890 + 53773 = 2*h. List the prime factors of h.\nAnswer: 11, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(3 + -7). Let h be (4 + -2 - 2)\/v. Which is bigger: h or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2768 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*w + 132430 = 149095 for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*o + 36170 = 9053, 4*k = -3*o - 54299. Which is smaller: -13572 or k?\nAnswer: -13572","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140164*q**2 + 90979*q + 2 wrt q?\nAnswer: -280328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 649*v - 80547513 - 455290900. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107035 - -1451?\nAnswer: 110506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 3*n**2 + 33*n - 90. Let a be w(6). Solve 5*r = g + 19, 4*g + a*r = 2*r - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 + 381 + 224 = 87*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/180*6*102\/(-85)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -31270 times 0.09\nAnswer: -2814.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242735 is divided by 2290?\nAnswer: 2285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7187992*a**6 + 61003*a**2 - 37?\nAnswer: -862559040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c + 44 + 5*c**2 + 45 - 87 + (2*c - 3*c + 0*c)*(5*c + c - 4*c).\nAnswer: 3*c**2 + 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3140433 + 2?\nAnswer: -3140431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4 = 4*p, 0 = -5*f + p + p - 10. Let o be (f - 2)*12\/(-18). Put 6, -2, o, 2 in decreasing order.\nAnswer: 6, o, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -26 + 74. Let o = 36.1 - 32.72. Let y = o - 3.48. Is a > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 2*n - 4 + 12, 2 = 2*n. What is the nearest to -0.1 in -2, 0.3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 + 61*l + 336. Let r be s(66). Solve n + 7 = 2*c, -4*c + r*n = 9*n + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -538 - -540. Solve 36 = 7*z + t*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377702 is divided by 507.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1659, -6531, -14613, -25905, -40407, -58119?\nAnswer: -79041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 6. Let x = 4 - -2. Determine j(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 54*k + 487 + 39*k - 94*k.\nAnswer: -k + 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 155\/175 - (2 + 12\/(-7)). Which is the second smallest value? (a) p (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d - 67*d - 475*d to the form r*d + a and give r.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Let n = 9 + -6. Suppose -2*f = 5*x - 9, -n*f + x + 56 = -0*f. Solve 0 = u - 4*s + f, q*s = 2*u - 4*u + 26 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 1:22 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x**2 + 47*x - 3850. Let c(b) = 2*b. Give z(c(j)).\nAnswer: 8*j**2 + 94*j - 3850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9677 - 4725 - 4952 - 99*v.\nAnswer: -99*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) - 133\/84. Let v = -0.08 - -3.08. What is the second smallest value in 2, k, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52\/(-6) + 3*2\/(-3). Let j = -166\/15 - p. Which is smaller: 41 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 + (-1 - -10))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -g + 38 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -969*z + 2313. What is the units digit of w(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(-3)\/(-30)*36?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50465 (base 8) to base 16\nAnswer: 5135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 5, -2, 0, -2249\/4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = h - 3. Let o = -7 + h. Let y = -0.272 - -0.272. What is the closest to 0 in y, o, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59255391001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133 + 4012 = 91*p + 252*p. Let y(r) = 3*r**3 + 2*r**2 + r + 5. Let f be y(5). What is the greatest common divisor of f and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/1357 and 10\/59?\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17979070 to the power of 1\/2, to the nearest integer?\nAnswer: 4240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 3*c - 4. Let t(h) = 6*h**2 + h - 5*h**c + 0*h. Give t(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 23 = 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 5*d + 4. Let t be s(-6). Let q(f) = -f**3 - 5*f**2 - 6*f - 28. Let u be q(-5). Solve 0 = -2*n - t + u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 127, 356, 5?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 8 + 2 - 8*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 280 - 289. What is the closest to 1 in o, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*y - 4*i + 80, -4*i + 68 = 4*y. Let b = y - 9. Suppose 0 = -o, 2*o = -5*p - b*o + 225. Calculate the highest common divisor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.009 rounded to zero decimal places?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6828\/85 <= 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 80f - -3?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -130, -61, 54, 215, 422, 675, 974?\n\"Answer: 23*b**2 - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60850122 and 1254?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62057700 a multiple of 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 672, 2702, 6084, 10818, 16904?\n\"Answer: 676*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 361380 = -49*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6.9. Suppose 0 = -3*a + 2*a - 2. Let l be (-3 - (-21)\/4) + a. What is the closest to s in 0.2, l, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 13*g**2 - 18*g - 19. Let m(n) = -6*n**3 - 65*n**2 + 90*n + 95. Let t(i) = 2*m(i) + 11*r(i). What are the prime factors of t(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*d + 20496 = 0, -2*d = 4*i + 273 + 20203. What are the prime factors of (6\/(-4))\/(i\/852 - -6)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j + 18. What is v(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j - 6*j + j)*(-2*j + 4*j - j) + 0*j**2 + 10*j**2 + 20*j**2 + (3*j - 3*j - j)*(-3*j + 2*j + 2*j) to the form g*j + l*j**2 + p and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111001110110101000 (base 2) to base 9.\nAnswer: -401047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/5 - -4\/5. Suppose -2*k = -7*k - 5*l, -2*k - 5*l = 15. Suppose 2*c - 5*f = 3*c - 5, -2*c - k*f = -5. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -129 - -128. Let p be -3*(-1)\/(-12)*2. Which is the nearest to p? (a) 3 (b) d (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60426 (base 8) to base 3\nAnswer: -1021002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 2. Let f be -1*(1 - (2 + -3)). Let b be t(f). Suppose 0*i**2 - 1\/4*i**3 + 0*i**b + 1\/4*i**5 + 0 + 0*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*l**5 - 24*l**4 - 1170*l**3 + 219234248*l**2 wrt l?\nAnswer: 2460*l**2 - 576*l - 7020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2690.2967 and -84.\nAnswer: -2774.2967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/11, -1233 in increasing order.\nAnswer: -1233, 1\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686 - 1373 = -15*m + 941. What is the highest common divisor of m and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20734 is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**5 + 13*g**4 + 6*g**3 - 26*g**2 + 2. Let k(h) = 12*h**5 + 168*h**4 + 78*h**3 - 339*h**2 + 27. Let m(r) = 27*f(r) - 2*k(r). Factor m(q).\nAnswer: 3*q**2*(q - 1)*(q + 2)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -1 - 28\/(-266). Let x be -3 - 7\/(51156\/(-20336)). Let q = x - 1\/203. Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6318 = 108*w - 2754 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2701)\/219 + 17)\/(20\/6)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/66801 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 2*i + 1\/3*i**3 - 1\/2*i**2 + 5 + 1\/4*i**4. Let t be d(0). Solve g = t*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392\/(-252)*3*((-14)\/42)\/((-7)\/(-6)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/70 and ((-42)\/(-15))\/(-56 + 18).\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -148 - -124 - 19 - (-9 - 1 - 0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 928.165\nAnswer: -928.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.015, -4\/3, 5\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/6 (b) -94 (c) 6 (d) -5 (e) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10195 is divided by 405.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -32108.\nAnswer: -32111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f - 6. Let o(m) = 7*m + 1. Let h(x) = -29*x - 3. Let d(w) = 2*h(w) + 9*o(w). Give 7*d(v) + 4*t(v).\nAnswer: -v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4 and 22\/167031?\nAnswer: 668124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**4 - 5*c**3 + 52*c + 3*c**2 - c**4 - 43*c + 2*c**4.\nAnswer: c*(c - 3)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**2 - 3*d**2 - d**2)*(-4 + 4 + 2*d**2) - 138*d**4 - 100*d**4 - 73*d**4 + 0*d**3 + 0*d**3 - 4*d**4.\nAnswer: -313*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7187273.\nAnswer: 29, 139, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(192)*1 + 0 - sqrt(192)) + 2))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-19 - ((-48 - -23) + -63))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + z - z)*(-6*z**3 - z**2 + 0*z**2 + 11*z**3 + 3*z).\nAnswer: 15*z**5 - 3*z**4 + 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0 + 0 - 3*u - u**2. Let h be ((-8)\/(-20))\/(1\/10). Suppose -j = -h, -3*d + j - 5*j = -4. Calculate z(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -18\/11, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41)\/2 - 3\/(-2). Let o = 22 + j. Let s(p) = -p + 8. Let g be s(3). Solve g*i + 2 = -o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -725 + 378. Let u = x - -347.2. Put u, -3, 13 in increasing order.\nAnswer: -3, u, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j - 17. Let i(n) = 13*n + 18. Let a(t) = 6*i(t) + 7*v(t). Let q(u) = 2*u - 10. Give -4*a(f) + 3*q(f).\nAnswer: 2*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-299910)\/260*4\/6*-107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265 is divided by 410?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2903 + -1660. Suppose 0 = 5*x - 3*n + a, x + 4*n + 10 + 257 = 0. List the prime factors of x\/(-11) - (-10)\/55.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:18 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -167\/171 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**5*c**(1\/4))\/((c\/(c\/(c\/c**(-2\/19))*c))\/c*c**(1\/9)))\/(c\/c**(2\/9)*c**(-1\/2))**(2\/69) assuming c is positive.\nAnswer: c**(284383\/47196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420080415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1008 - 429. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by 3.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)*a)**(-1\/48)\/(a**(-2\/7))**(5\/4) assuming a is positive.\nAnswer: a**(73\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a - 28. Let d(f) = f + 14. Give -10*d(o) - 4*z(o).\nAnswer: -2*o - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)*c*c**(1\/22)*c)\/((c*(c**(2\/5)*c)\/c)\/c**(19\/5)) assuming c is positive.\nAnswer: c**(1511\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0 + 4. Let k be 2 + (2\/s)\/2. Let d(r) = -r + 4 - k - r**3 + 0*r**3. What is d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137\/139 + 14921\/3336. Find the common denominator of 3\/4*5*876\/(-720) and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2997 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5927*a**3 + 2963*a**3 + 2961*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 - 1103\/13. Which is the closest to j? (a) 0.3 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k - 4622*k**3 - 7687433*k**2 + 7688418*k**2 - 2*k wrt k.\nAnswer: -27732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 23*a**5\/20 + a**3\/6 - 14*a**2 - 44*a. Find the first derivative of i(r) wrt r.\nAnswer: 69*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12355358*p**3 - 48124433 wrt p.\nAnswer: 37066074*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21*v**2*x*z**3 - 42*v*x + 36*v*z**3 + 218356*x + 2*z**3 wrt v.\nAnswer: -42*v*x*z**3 - 42*x + 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546493958?\nAnswer: 2, 3, 37, 59, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -92.8516 less than 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21033031 (base 4) to base 8.\nAnswer: 111715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 + -3 + 6. Is 5 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*y - 5*z, 0 = y + y - 5*z - 26. Is y greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9432 and 68940?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waw when three letters picked without replacement from {a: 3, w: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2256 + 2256.4. Which is the nearest to -1\/11? (a) 4\/9 (b) j (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 81. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 6, w: 4, i: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m + 6. Suppose -2*l + l + m = 0. Suppose -2*d = -l*u + 121, -2*u + 76 = 2*d - d. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11003892 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/227, -8, -3, -2\/7, -1.26 in ascending order.\nAnswer: -8, -3, -1.26, -2\/7, 3\/227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 4*(1*sqrt(171) - sqrt(171)) - sqrt(171))*-3)\/(-3*(sqrt(9) + -5*(sqrt(9) - 2*sqrt(9) - sqrt(9)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 142916 - 84701. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.797186492 rounded to 2 decimal places?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**5\/20 - 25*y**4\/12 - 5*y**3\/6 + 5*y**2\/2 + 2*y - 6455. Determine t(-25).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -440, -775, -1334, -2117, -3124?\nAnswer: -4355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8\/7, 2, 0.5, 3, 3\/2?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-1 - 2 + 2)*(-5 - 3 - 1)*(6*g - 2*g + 5*g) to c*g + q and give c.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -2485?\nAnswer: -2489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*l + 21 = -168*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/106 and -73\/10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.091 + -0.12. Let l = -0.371 + u. Put 1\/2, l, -4, 0.07 in descending order.\nAnswer: 1\/2, 0.07, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + d + 0*d. Let a(z) be the third derivative of -z**4\/4 + 2*z**2. What is t(a(s))?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(3*1)\/((-99)\/(-11))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*a*c*l - 7*a*l**2 + 17*c*l**2 - 7*l**2 wrt a?\nAnswer: -6*c*l - 7*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 6*a - 7 + 35 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2 (c) -175\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1042468 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000193 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 1085, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -144?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffaafaffffffddf. What is prob of picking 1 f and 3 a?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15 - 9)\/6)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/((-6)\/(-20)). Suppose 4 = -c*y + 6*y. Suppose 5*u - 4*u = 4*o - 5, -y*o + u = -5. Solve g + o = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*s - 5*s + s**2 - 12*s**2 + 16*s wrt s.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.233 plus -12263411?\nAnswer: -12263410.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*s + 5, 5*s = -2*i + 7 + 26. Let b be 8\/s + 12\/30. Suppose 3*k - 2*k - b*v = -60990, 0 = -3*v - 15. Round k to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1924 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/30246 and -77\/44304.\nAnswer: 3145584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 9*z - 7. Let n be x(-10). Factor 6*f - 5*f**4 - 2*f**n - 7*f**3 - 21*f**3 - 45*f**2 - 26*f.\nAnswer: -5*f*(f + 1)**2*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/192 and 41\/60.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/5 and 23\/582037.\nAnswer: 2910185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -2. Suppose 0 = f*d - 134 + 19. What is the remainder when d is divided by (-16 - 0)\/((-32)\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4)*s*s\/(s**(1\/20)\/s)*s*s)**(-5) assuming s is positive.\nAnswer: s**(-199\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnr when three letters picked without replacement from {r: 5, n: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooo. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 3*f + 13, 382*f - 3*l = 384*f - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from tktztkgzgtgkztttps.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*w + 15 = 3*c, 0 = -3*c - 4*w - 1. Suppose 0 = k + 4 - c, 3*k = -4*z - 9. Let f be (-37)\/(1 - (5 + z)). Round f to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c + 2*c. Differentiate 2*v**2 + 2*v**2 - c + 0 + 0 with respect to v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2 = -5*q + 5, 4*q + 5*j = 5. Suppose w + 2*y = -2*w - 13, q = 2*w - y - 3. Is (-1308)\/(-8) + 4 + w\/(-2) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - 1*sqrt(6655)) + -2*1*sqrt(55))\/(sqrt(20)*-6*4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682400.6 millilitres to litres.\nAnswer: 682.4006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19fc - -3e04?\nAnswer: 5800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**0\/i))\/i)\/i**(-3\/5)*(i*i*(i*i**(-4)*i)\/i*i*i)\/((i**7*i*i)\/i)*(i*i**(2\/11)\/i*i*((i*i\/i**(-4\/7)*i)\/i)\/i)\/(i**(-1\/3))**(-3) assuming i is positive.\nAnswer: i**(-1404\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6685250228?\nAnswer: 2, 1671312557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14 - 17 + 12 + 79*g - 19*g with respect to g.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022 = -4*k + 7*j + 1005, -k = -4*j + 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107478446281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/6 + 397*n\/3 = 0 for n.\nAnswer: -794, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 40\/14235403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 5:35 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40629 and 1401.\nAnswer: 40629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9996206 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177575*u - 177568*u + 355143*u + 4*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/5 - 21424*m\/5 - 141834.\nAnswer: 2*(m - 10745)*(m + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 2*j = -80 + 76, 4*d + 19 = -5*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.361 and -0.4.\nAnswer: -0.1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*y + 71*y = 240. Suppose 4*w = -n + 146, 3*w - 2*w + 247 = 2*n. Let l = n + y. Calculate the smallest common multiple of 176 and l.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.8 + -44. Suppose -2*n + n = -4. Which is the third smallest value? (a) -3 (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37 (b) -17\/4416 (c) -14\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f, -4*z - 6*f = -f - 43. Suppose -2*c + 4*c - 4 = 0. Solve 0 = m + c*m - z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/1728*(-108)\/(-48).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r - 17. What is i(13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 6 + 10)*(j**3 + 2 - 2)*(-18*j + 5*j + 2*j) to b*j**2 + i*j + l + n*j**4 + f*j**3 and give n.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**4\/8 + 5*r**3\/6 - 2*r**2 + 11*r + 47. Let c(u) be the second derivative of v(u). Calculate c(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u + 227. Does 61 divide t(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2134, -16914, -56978, -134968, -263526, -455294?\nAnswer: -722914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*g + 3*z - 9, -z + 3 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(104)*2)\/sqrt(8).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 66. Let o be p(21). What is the derivative of -q**2 - 88 + q**2 - 20*q**o + 56 wrt q?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 3*a - 13 = -6*k, 11 = k - 3*a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*o + 528 = g, g + 119 = -4*o. Let h = 288 + g. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 42*j - 79. Solve j*x = -0*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 6. Let o(y) = 9*y - 12. Let k(t) = 6*o(t) - 11*r(t). What is k(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -62.66776?\nAnswer: -6.266776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4*y**2 - 102*h**2*y**2 + 4*h**2 + 8*h*y**2 + h*y - 2*y**2 wrt h?\nAnswer: 12*h**2*y**2 - 204*y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 + -2. Let a = -0.51 + -3.49. What is the nearest to 1 in a, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 - -2065. Suppose -34*k = -30*k - y. Determine f so that k - 180*f + 60*f**2 - 5*f**3 - 481 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-2) - 0)*1. Let i = 2 - 5. Let u = -7 - i. What is the third biggest value in 0.5, u, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 71722*l**3 - 705*l**2 - 235. Let c(p) = 613*p**3 - 6*p**2 - 2. Give 235*c(q) - 2*r(q).\nAnswer: 611*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8594206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -4032, -9082, -16156, -25254, -36376, -49522?\nAnswer: -64692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129390, 258687, 387984, 517281?\nAnswer: 646578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 7*g**2 - 166*g - 1157. Let q be f(-7). Let d be 2\/(1 + (-1)\/3). Suppose -7*m + 3*m = -152. Solve 13 = q*p + m, d*r - p = 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**3\/3 + 3907. Let n(s) = -3634*s. Determine n(y(d)).\nAnswer: 3634*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -428286 to the nearest one thousand.\nAnswer: -428000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)*(2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**7\/2520 - h**6\/90 + h**5\/15 + 8*h**4\/3 - 60*h. Let d(u) be the third derivative of j(u). Determine d(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -487634401 at least as big as -487634399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -2.2, 0, -6, -2\/11?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 8\/(-3)) + (-40 - -39)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o**12*o*o*o)\/o**(-6\/11))**(-2)\/(o*o**(-3\/2)\/o*o\/(o*o\/(o*o**(-2\/15)))*o)**(-12) assuming o is positive.\nAnswer: o**(-2458\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.4304 + 2.7004. Which is the third biggest value? (a) 0.1 (b) -0.1 (c) g (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18922692, 37845385, 56768078, 75690771, 94613464, 113536157?\nAnswer: 132458850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/37)\/(4*8\/(-32)). Is 1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {x: 1, w: 1, c: 3, e: 3, l: 7, g: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 4*g**2 - 2*g - 6. Let q be 4 + 1 + -2 + -7. What is the units digit of w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*v - 120*v = 28756. Calculate the remainder when v is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-28)*742\/3021.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 31 = 2*a. Suppose -3*j = 4*l - a, -4*l + 4*j = -j + 9. Solve -i + l = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271494 is divided by 11312.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-g + 3*g - g) + 485 + 387*g - 988 + 502 to k + z*g and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6452300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 11*s - 4. Calculate the remainder when i(10) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 2\/13, 2, 0.2, -1\/4, -10\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -598 take away -30?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 11 = 27. Let a = j - -7. Let g = 20 + a. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 6\/17 (c) 7 (d) -1\/4 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/5*r**4 + 54\/5 - 27\/5*r**3 - 117\/5*r + 87\/5*r**2 = 0. What is r?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + 1755\/243. Let g be 2\/(-4) - (300\/(-24) + p). Solve -4 = u + g*a, -3*u = 2*a + 2*a + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3264.7 + 3264.684877. Round h to 4 dps.\nAnswer: -0.0151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/106541 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:00 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1371 or 1372?\nAnswer: 1371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35324800.3 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14291180 a multiple of 1772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/1734432 and -139\/538272.\nAnswer: 15609888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 169\/((-27209)\/84)*-23\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3099 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857 = 18*p - 79. Let x be p\/(-78) - (0 + 4\/3). Let d be (12\/(-7))\/2*-7. Sort d, x, 2 in decreasing order.\nAnswer: d, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**20*n*n*n**(-14)*(n**(-1))**40 assuming n is positive.\nAnswer: n**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*b - 218*b + 1280 = -138*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 7) to base 5.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -489 (base 14) to base 7\nAnswer: -2432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9a89 (base 12) to base 3\nAnswer: 212110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.1 + -2. Let c be (-6)\/((-36)\/30) - 3. What is the closest to 2 in 3\/7, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 565 is divided by 127.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 18*f**2 + 6*f - 5. What are the prime factors of h(3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -120*x**4 - 11*x**2 + 83824 with respect to x.\nAnswer: -480*x**3 - 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12527506.\nAnswer: 2, 6263753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 113728*d**3 + 143950*d**2 wrt d.\nAnswer: 682368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from unvvuubvbueutvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.79 times 0.038\nAnswer: -0.03002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27\/15*(0 - 10\/(-3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - q**2 + 1 - 2567*q - 5.\nAnswer: -q**2 - 2567*q + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - -58. Let p be ((-75)\/(-4))\/3 - 46\/t. Solve -4*q = -3*d + 12 + 3, 3*q + p = -3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m**16\/m*m*m)\/m*m*m)\/m)\/m)\/((m\/(m*(m*m\/m**(-10\/9)*m*m)\/m))\/m) assuming m is positive.\nAnswer: m**(208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:29 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 + -4?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, -456, -1366, -2640?\n\"Answer: -182*j**2 + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85018 - 0?\nAnswer: 85018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 29 + (47 - (13 + -11))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/9841484 and 145\/14762226.\nAnswer: 29524452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 445596 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14825 - 15610727\/1053. Let y = 371\/10530 + k. Which is greater: y or -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5347 - -5590. What is the remainder when g is divided by 34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 274*k - 4. Let a be d(1). Suppose 3*m = -60 + a. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 72*f**3 + 2*f**2 - 4*f + 2. What is z(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**6\/90 - 11*w**5\/30 + 89*w**4\/36 - 34*w**3\/9 - 87*w - 4. Factor f(k).\nAnswer: k*(k - 17)*(k - 4)*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 30. Let y = 3843 + -3802. Sort u, 4, y.\nAnswer: 4, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -11*t**3 - t**2 + 18*t + 20. Let v be y(-1). Solve -v = 7*f - 9*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 25*s**2 - 4*s + 20. Calculate m(-25).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 5:06 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -21\/4*m**4 + 18*m - 162 - 16*m**3 + 51\/2*m**2. Find l, given that v(l) = 0.\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*v - 16, 3*j + 4*v - 7*v + 6 = 0. Solve 4*g - 1 = -5*o - 10, j*g - 2*o - 22 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.7 * -89\nAnswer: 1130.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -627, -725, -885, -1107, -1391?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -247, -561, -1001, -1567?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t*t**(-2))\/(t\/(t\/t**(2\/7)))**3*(t\/(t*t**(-2\/3)*t)*t)**(-9\/11)*((t*t**(-5))\/t)\/(t**(-2\/11)\/t) assuming t is positive.\nAnswer: t**(-171\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6*(-11)\/((-198)\/(-27)). What is the closest to w in -16, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4566212.3 to the nearest 1000.\nAnswer: -4566000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -811b (base 12) in base 8?\nAnswer: -33247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, 0.0396, -313 in descending order.\nAnswer: 0.0396, -4\/11, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67.1 and 24.\nAnswer: -1610.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362044, 1448114, 3258228, 5792386?\nAnswer: 9050588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llnnlln. Give prob of sequence ln.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-3)\/7*(-262 + 227).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a**2 - 859*a - 3433. What is j(-4)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 22 = -0*p + 5*l, 5*p + 3*l = 66. What is the second derivative of p*c + 27*c**2 - 45*c**2 + 15*c wrt c?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15287342 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-30) + 1 - 20857095\/(-367850)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8768089?\nAnswer: 11, 67, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.04 (b) 5 (c) -2 (d) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/6273031 or 0.1?\nAnswer: 3\/6273031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -10*2\/(-4). List the prime factors of (-1 + 0)\/(k\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 128723849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.4 and 0.11128452.\nAnswer: -1.28871548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -17101754310 to the nearest one million.\nAnswer: -17102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(2\/19)*p*p)\/(p\/(p*p*p\/(p**(5\/8)*p)*p)) assuming p is positive.\nAnswer: p**(801\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zwzszwwwpwpzsss.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k**3 + k**2 + 5*k**4 + 3*k**3 + k**2 - 3*k**4 - 11*k + 9*k to the form i + t*k**2 + a*k**3 + d*k**4 + m*k and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*v**3 - 3\/4*v**4 - 117\/4*v**2 + 0 + 21*v.\nAnswer: -3*v*(v - 7)*(v - 4)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1140 + 10?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -3*u + 16, -1 = w + 5*u. What is the remainder when 0 + 6 + 82 - 0 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 771 (b) -38745 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k**2 + 48*k - 65. Let z(o) = o**3 + 1. Let v(h) = 2*y(h) + 2*z(h). Factor v(f).\nAnswer: 2*(f - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 4, -532 in descending order.\nAnswer: 4, 0.07, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112088 (base 15) to base 8.\nAnswer: 3073356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4939*z**6 + 6*z**4 - 528*z**3 - 6775*z**2 - 639*z.\nAnswer: 592680*z**3 + 144*z - 3168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/(-9)*2 + (-156928)\/(-1152) is divided by 76.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(-475)*15\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -r - 7*v - 6, -2*v = 4*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:25 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5 - 4*x**4 + 40*x**3 + 40*x**2 - 36*x - 36 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/9, -0.07, 2, 0.008.\nAnswer: -2\/9, -0.07, 0.008, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 402.91 - 400. Let w = 0.09 + b. Suppose -18 + 34 = -16*c. What is the closest to c in -3, w, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5195669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1755 + 513 = -5*j + 4*z, 0 = -5*j - 3*z + 1256. Suppose x + 49 = q - 0*x, -5*q + 4*x = -j. Calculate the greatest common factor of 162 and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -204250332 - 1?\nAnswer: -204250333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -105766*h + 53146*h + 53144*h. Let k(c) = 8*c. Give k(x(i)).\nAnswer: 4192*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887812 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, 0.4, -88\/23 in decreasing order.\nAnswer: 0.4, -3\/10, -88\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t**2. Let r(u) = 1810142*u**2. Determine a(r(i)).\nAnswer: -22936298421148*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1299 = -5*d + 3*o, d + 4*o = 2*o + 265. Let h be d\/81 + (-4)\/18. Suppose -w + 44 = -s, h*w + 2*w = -4*s + 256. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -1)*30\/45 + 5. Let u(j) be the first derivative of 1 + 0*j**2 - 6*j - d*j**3. Differentiate u(z) with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8)*(-5808)\/(-726)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - d = 38, -8*t + 11*t - 3*d - 24 = 0. Solve -a = 5*c - 7, -a = -4*c + t + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1585, 2478, 3357, 4222, 5073, 5910?\nAnswer: 6733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**3\/2 + v. Let l = 654 + -653. Let q be y(l). Let z(h) = h - 1. Calculate z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(((-33)\/22)\/((-3)\/4)). Find the common denominator of ((-8)\/6)\/((-11)\/(-18)) and u + -1 + 7\/(56\/43).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/5)\/(4\/22). What is the greatest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19)\/(95\/(-13570)) + 4 + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7120839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.03 (c) -3 (d) -0.38 (e) 0.17 (f) -2\/27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d - 1373 = 9*d + 2211. What is the highest common factor of 2032 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*f**5 + 242*f**4 + 18676*f?\nAnswer: 940*f**3 + 2904*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009243384 to 7 dps.\nAnswer: 0.0000924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84374499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 276039 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211073, -211074, -211075?\nAnswer: -211076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 9:08 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/(-2)*753170\/(-211255)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115240 + 87?\nAnswer: 115337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**2 + 80*k - 39. What is the remainder when r(39) is divided by (18\/(-8))\/((-6)\/16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.9 + 17.8. Let x = -15.7 + z. Let n = x + 8. Are n and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1908, 3555, 5192, 6813, 8412, 9983, 11520, 13017?\n\"Answer: -d**3 + d**2 + 1651*d + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(3\/10)*f**(-1)\/f*(f*f*f**(2\/15))**(1\/4))**(5\/12) assuming f is positive.\nAnswer: f**(-5\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11555 and -51934.\nAnswer: -51933.88445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 123, 68, -83, -378, -865, -1592, -2607?\n\"Answer: -8*p**3 + p + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 0*l**2 + 0*l - l**2 - 46*l**3 + 3*l**2 + 4*l**3 as b + w*l**2 + n*l**3 + a*l and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*d**2 + 13*d**2 - 37*d**2)*(2*d**2 + 3*d**2 - 4*d**2) + 1 - 1 - d**4 as x*d + o*d**3 + r*d**4 + u + l*d**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*h**2 + 18*h**2 + 17*h**2 - 69*h**2 - 300 + 20*h**2 in the form f*h**2 + t + o*h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -22.1+83550466\nAnswer: 83550443.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -44, -45?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 12 = -3*g, -3*j + 59 = 5*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 107. Suppose 5*a = t*a. Solve -3*v + a*v = u - 16, 3*u - 8 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 38\/3, 0.2 in decreasing order.\nAnswer: 38\/3, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 + 11*n - 10. Let a(w) = 4*w**2 - 12*w + 12. Let m(k) = 3*a(k) + 4*z(k). What is i in m(i) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**2 - 8 + 8 - 16 - 18*n = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.1497 millilitres to litres.\nAnswer: 0.2541497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, h: 7}. Give prob of picking 2 s and 2 h.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 161*n**2 + 343*n + 6. What is the tens digit of t(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:13 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.2, -5 in ascending order.\nAnswer: -5, 0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16686 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/12 - -1)*14. Find the third derivative of a**5 + 5*a**2 - r*a**5 - 8*a**3 + a + 5*a**5 wrt a.\nAnswer: -60*a**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 106027866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((504\/(-18))\/14)\/(52\/2)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -761651 (base 9) to base 11\nAnswer: -290090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 412678393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 6:50 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*n**6 + 13*n**3 - 874*n**2.\nAnswer: 2040*n**3 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/40)\/(-7)*(-8)\/12*38\/(-76)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((300\/20)\/15). Is 34\/321 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*i - 97, -4*i - 5*j + 17 - 120 = 0. Let p be (-5)\/(5\/i) + -2. Suppose 96 = 2*u - p. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 41 - 42. Solve -y = 5*b - 21 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1095529*z**3 - 183741*z**2 + 1 wrt z.\nAnswer: 6573174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s. Let m be w(0). Let f(g) = -2*g - 4*g**2 + m*g**2 + 3*g**2 + 3. Let r be f(-4). Let y(o) = -o**2 - 5*o - 2. Determine y(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.8 less than 6922141.6?\nAnswer: 6922283.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(288))*-1*-5*-5*2)**2.\nAnswer: 4800000*sqrt(2) + 12520000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.16 and 71.61.\nAnswer: -4594.4976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/451?\nAnswer: 1\/451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -161897098*o**2 - 178531167 wrt o.\nAnswer: -323794196*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/20)\/(-1 + 52\/40). Suppose l = -n, l = g - 462 - 746. Does 86 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1. Let s(g) = -5*g + 6. Suppose -2*x = -3*x - 1. Let m(a) = x*s(a) + 6*w(a). Let r(t) = 6*t. Calculate -3*m(c) + 2*r(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + (5 - 18))*(-20)\/8. Solve -a + 10*b - w = 6*b, -3*a = -2*b + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 + 6*v - 2. Give f(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (2 - 1932\/42)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-4))\/(-2) + 126. Let p = n + -71. What is the units digit of (-10)\/p - (-114)\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 570, 567, 564, 561?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 153 - -108159?\nAnswer: 1082ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 10:14 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 451849510 a multiple of 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 9. Let b be r(-6). Suppose 5*f = g + 15, 3*g + g - 8 = b*f. Solve 3*s = -5*n + 2*n + 3, -f*n - 5*s = -8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -575 (base 11) to base 10.\nAnswer: -687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2308*k - 1293*k = -41727 + 19077 - 74577 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p + 11. Let z(x) = x - 17 + 20 + x. Give 6*c(k) - 22*z(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2920141796 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5962069422 to the nearest integer?\nAnswer: 1813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 1. What is the common denominator of (-7974)\/(-1440) - a\/10 and 194\/3*(-27)\/(-252)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 = 11*w + 33 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19282*q**4*y**3 + q**2*y + 2726*q*y**3 wrt q?\nAnswer: 462768*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - -33. Let d = 189\/4 - b. What is l in -5\/4*l**4 + 0 + l**3 + 0*l + 1\/2*l**5 - d*l**2 = 0?\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) -4 (c) 221 (d) 0.3 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*v = -173*v + 262. Suppose v = 2*d + z, 0*z - 3*z = -d + 55. Suppose -3*t + g = -170, -t + 6*g - 2*g = -d. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c - 70*c + 50*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 136 + -678\/5. Let w = -10.3 - 47.7. Let c = -58.4 - w. What is the nearest to a in -2\/19, c, -1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -26. Let q be (-53)\/((-3)\/t + 153\/180). Round q to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-60))\/((-33)\/297).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92 and 4462?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*p - 93*p = 5*a + 21, 0 = -2*a + 8*p - 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364392 by -13014.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45346.82 + 45347. What is the third smallest value in 1\/3, a, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*j + 1, -j = -5*j + 5*o + 3. Suppose -h - h = -j. Solve -s = -0 - h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 62. Suppose -14 = -2*y + 5*q + 3, 4*y + 3*q = -r. Find the common denominator of 305\/(-60) + 1\/y and -62\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -418804.57 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpbp. What is prob of sequence pb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - s)*(3 + 1 - 2) + (3 - 2 - 3)*(2*s + 2*s - 3*s))*(2*s + 2*s - 3*s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118915 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -4, 3\/5, 1.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*x - 58*x - 59*x = -24 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 432*a**2 - 31104*a - 746496.\nAnswer: -2*(a + 72)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4596, 4398, 4200, 4002?\nAnswer: 3804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2. Let x(q) be the first derivative of -q**3\/3 + 29*q + 70. Calculate k(x(g)).\nAnswer: g**4 - 58*g**2 + 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 358215895 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*k - 60788 = 46627. Is k a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468760883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5531, -11059, -16587, -22115?\nAnswer: -27643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00479803673 plus 4?\nAnswer: 4.00479803673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-114)\/(-21) + 570\/(-399). Let k = 2 - -9. Suppose k + 9 = 5*n. Solve 2*j + 11 = -3*v + 2*v, -n*v = l*j + 28 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35103143 (base 6) to base 11.\nAnswer: -679670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065574776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*2\/4 + 37. Suppose -2*g - g + l = 0. Find the second derivative of -g*q + 0*q**3 + 2*q**3 + 0*q**3 + 8*q wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*w + 2*d - 1, -d - 14 = 3*w. Let p = 6 + w. Determine r so that r**2 + 0*r**p + r**2 - r - r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(576)*4*-2)\/(6*(5*(sqrt(96) + 1*sqrt(96) + sqrt(96)))\/sqrt(12)).\nAnswer: -8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1188221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 431*i - 587. What is the lowest common multiple of 22 and g(2)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672920?\nAnswer: 2, 5, 16823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00117791998 rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19827085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31728521 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 134.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1) + 2 + -2. Suppose -y*d + 3 = -0*d. List the prime factors of -2 + (18 - d\/(-1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, w: 1}. Give prob of sequence zw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 655*l + 648*l - 1304*l. Give t(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 111393 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 120\/14 - (-3 - (-100)\/28)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10834.9 + -10836. What is the nearest to -1 in h, 1, -1\/6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -42, -115, -200, -291, -382, -467, -540?\n\"Answer: p**3 - 12*p**2 - 44*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**2 + 17*h - 55. Let u be v(7). Let o be (0 - (-4)\/5)\/((-23)\/u). Factor -65*g**4 - o*g**2 + 20*g**3 + 7*g**3 + 49*g**4 + g**3 - 4*g.\nAnswer: -4*g*(g - 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 3*l**2 - 7*l - 1. What is h(2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27324.853 + -27436.8. Let o = -151 - -39. Let b = o - g. Round b to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.5 + 24. Which is the nearest to -3? (a) k (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/23)\/(n\/(n**(1\/3)\/n))*(n\/(n\/(n\/n**8)))\/(n**(-1\/9)\/n) assuming n is positive.\nAnswer: n**(-1546\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -25, 0, 4, -3, 2.\nAnswer: -25, -3, 0, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + ((-216)\/(-84))\/((-2)\/(-7)). Suppose -3*a = -9, 3*a - 30 = -h*j + 267. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 63, 140, 259, 426, 647, 928?\n\"Answer: p**3 + 12*p**2 - 2*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -12121109\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2852\/161 + (-2)\/(-7). Suppose 0*d - 6*d = -h. Suppose -5*n - 4*x = -148, 16 = 3*n + d*x - 71. Calculate the remainder when 93 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561207181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w + 2*w + 315 = -3*r, -23*w + 70 = 5*r - 21*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rooojororrroiimorrrw. What is prob of sequence owr?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/14359796 and -43\/3085576.\nAnswer: 373354696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100456 (base 8) in base 14?\nAnswer: c0a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 9. Let h(q) = 3*q + 8. Let i be 4*((-4)\/(-28)*1)\/(24\/(-168)). What is i*h(f) - 5*j(f)?\nAnswer: -2*f + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 4?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 - 14*x**2 - 7*x - 34. Let r be z(-7). Solve d + 3*m = -4*d + 15, -5*d = -m - r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 3*s)*(14 - 10 - 8) to i + p*s and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.6 + -38.23905.\nAnswer: -33.63905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 10\/4 + 2\/(-4). Find the second derivative of 3*v**4 - 17*v + 5*v**d + 0*v wrt v.\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/561 - -1663\/1122. Which is the closest to 1? (a) t (b) -0.01 (c) -1\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b = 52*b - 297. Put -4, b, 6, -2, 1 in decreasing order.\nAnswer: 6, b, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.074 - -7.326. Let p = z - 7.8. Which is the third smallest value? (a) -4 (b) -4\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -505, -362, -123, 212, 643, 1170, 1793?\n\"Answer: 48*w**2 - w - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 229400203 rounded to the nearest one hundred thousand?\nAnswer: 229400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324921.\nAnswer: 3, 17, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-10 - 0)*(-1023)\/1265\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxc when three letters picked without replacement from {x: 1, f: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -623*i**2 + i. Let s be t(2). What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*i + 330*i - 5629 = 5495 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.038 to 1 decimal place.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000037503782 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2854, -11422, -25708, -45712, -71434, -102874?\n\"Answer: -2859*v**2 + 9*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/21 - 52\/(-91). Suppose 4*c - 5*a - 120 = y, 4*a + 149 = 5*c. Calculate the highest common divisor of 58 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 168815?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 488991787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 670 - 206 + 504. What is the smallest common multiple of h and 2420?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/171? (a) -7\/72 (b) -4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 2*b - 4. Let h(m) = 13*m**2 - 9*m - 17. Let r(y) = 2*y**3 - 6*y - 3. Let g be r(-2). Let x be (-15)\/g - 24\/168. Give x*h(t) - 9*o(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2343 (base 9) to base 2.\nAnswer: -11011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 k when three letters picked without replacement from {k: 3, t: 2, f: 8, x: 3, d: 1, w: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3388, -77 in decreasing order.\nAnswer: 3388, 0, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3381, 7182, 10993, 14820, 18669?\nAnswer: 22546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pi when two letters picked without replacement from dinap.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 918 and 294474.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -4\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a + 3*a**2 + 13 - 2 - a**3 - 9 - 7. Determine l(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 5)*((-u - u + 3*u)*(3*u + 0*u - 4*u) + 3*u**2 + 4*u**2 - 5*u**2 + 0 + 0 + u**2 + u**2 - 2*u**2 + 4*u**2).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3223 and -412?\nAnswer: -1327876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 51\/5 (b) -0.5 (c) -2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-120) + (-1)\/10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 7, -0.2, 0.3, -11, 2\/15, 0.043?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -5 (c) -0.4 (d) 7 (e) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1689435 and 1485.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q - 1. Give d(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 2*c, -l - 2*c + 3 = -3*c. Let p = 4 - l. Solve -4 = a - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 19*q + 363. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97067+3\nAnswer: -97064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 6*d + 1. Let j be p(-6). Let v = -502 + 5528\/11. What is the closest to -2\/3 in j, 5\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/1 - 3)*30)\/(28 + -27)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10878*w**5 + 2285*w**2.\nAnswer: -652680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h + 5. Let o(x) = 29*x - 132. Let m(g) = 10*g - 50. Let b(d) = -8*m(d) + 3*o(d). Calculate -3*b(l) + 2*i(l).\nAnswer: -5*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620047.\nAnswer: 53, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 14 = -26. Solve 5*x = -4*h + 6*h - 15, -z*x = 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/(-10) - 14\/(-35). Suppose -5*o = -3*o + v. Let r be (-9)\/o + -6 + 7. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - -5 - 12 - 0) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 11. Let n = 0.1 - 0.1. Which is bigger: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 977*h*w**4 + 954*h*w**3 - 76*h - w**3 - 6670*w - 7 wrt w.\nAnswer: 11724*h*w**2 + 5724*h*w - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 152 + -150.67. Let x = -1.3300174 + t. What is x rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 2 - -2) + -11 + (302 - 300).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/20)\/((-1)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**4\/24 + x**3\/2 - 138*x**2 - x. Let b = 12 - 5. Determine f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/25 + (-6)\/(-10). Solve -3*p + s = 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -11. Let t = 1.887285 + 4.112721. Let r = t - f. Round r to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*x - 3*x. What is the units digit of (-298)\/x + (-2 - 14\/(-8))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Calculate the common denominator of 51\/4 and (-4)\/(-144)*327\/r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 1:22 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(525))\/sqrt(7).\nAnswer: -120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 36. Let a = 36 + u. Let m = -1 + 0. What is the third biggest value in m, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221560 bigger than 221809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/18 - 50\/12. Let i be 160\/35 + f + (-6)\/(-63). Let 2*m**4 - 2\/3*m**5 - 2*m**3 + i*m**2 + 0*m + 0 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13002 (base 4) in base 5?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 276048433.\nAnswer: 55209686.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123754.\nAnswer: 2, 43, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 88\/14 + 4\/(-14). Let h be 4 + (-3)\/(9\/z). Find a such that 4 - 2*a**3 - 4 + h*a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 644\/(-48)*-4*6\/504 and 29\/96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (396*m + 17572 - 17572)*(19 + 7 - 16) as j + u*m and give u.\nAnswer: 3960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761581347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m**2 + 3*m + 9. Let g(v) = v**2 - 1. Let t(a) = 329*a + 1646. Let q be t(-5). What is q*l(x) + 6*g(x)?\nAnswer: -2*x**2 + 3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from {v: 1, d: 6, w: 6, l: 3, n: 1, u: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36480 and 8550?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -192*v**2 + 45*v + 9. Let q(j) = -48*j**2 + 11*j + 2. Let r(z) = 2*c(z) - 9*q(z). Find the second derivative of r(h) wrt h.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11553457 in 5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 246, -5 in decreasing order.\nAnswer: 246, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*16527813\nAnswer: -661112.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 108 + -63. Let u = -45.5 + a. Sort 2\/7, u, 2, -3 in increasing order.\nAnswer: -3, u, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 130, 133, 138, 145, 154?\n\"Answer: s**2 + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14408469 - -5?\nAnswer: -14408464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 - 5*r**2 + 47.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -3 - -6)*1. Let h(r) = p*r**2 - 4*r**2 - r + r. Let b(f) = 10*f**2. What is h(b(v))?\nAnswer: 100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 864*l - 863*l - 5, 0 = -2*j + 5*l - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -19. Let m(l) = -l**x + 2*l - 6 + 3 - 6*l + 4. Let k be 1 - 4 - 0\/(-1). What is m(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 7. Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*s + 90, -5*s = 7*h + 3303 - 3470 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 10*n - 20. Let k be m(-3). Which is the smallest value? (a) k (b) 1 (c) -11 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*q + 643, 4*q + 1881 = 3*x - 0*q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6451 to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -22, -44, -76, -118, -170?\n\"Answer: -5*n**2 + 3*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -207 + 207. What is the nearest to 4 in -5, -3\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18536.5 nanometers to centimeters.\nAnswer: 0.00185365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, t: 1, w: 3, j: 2}. Give prob of sequence zw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o**20))\/(o\/o**(-38)) assuming o is positive.\nAnswer: o**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 4552*p**3\/3 - 322*p. Let j(k) = -k**2. Give x(j(t)).\nAnswer: -9104*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 3*q**2\/2 - 3. Let k(m) = -m**2. What is a(k(z))?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170)*-2)*-6)\/(sqrt(30)\/(sqrt(3) - sqrt(3)*-2)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*v**5 + 21222*v**4 - 5*v**3 - 5028767*v**2?\nAnswer: -1380*v**2 + 509328*v - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from nuuwahf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -227*x + 23679. What is z(104)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (675\/(-405))\/((-5)\/21)*-3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -9*j - 212360, 265507 = 8*o - 3*o + 3*j. List the prime factors of o.\nAnswer: 29, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202509673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 4.11. Let z = -3 + p. Let l = -7.3 + 2.3. Which is the third smallest value? (a) l (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*f + 30. Calculate the lowest common multiple of f and 2 - ((-60)\/(-10) + -63).\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - b**2 - b - 1. Let n be g(-1). Let f(m) be the second derivative of m**2 - m. Let z(i) = i - 9. Let d = 176 + -185. Determine d*f(l) + n*z(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1428)\/98)\/(480\/(-560))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from yypzkyyykyyyzbygpy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 4. Let d be p(2). Let j be (8*-1)\/d*1. What are the prime factors of 215\/j + 6\/(-8)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2 - 21126*n = 0.\nAnswer: -7042, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2069\/2 + -1006. What is the common denominator of x and -45\/11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -3. Suppose -3*m + 5*c = -10, 2*m + 5 = -4*c - z. Solve 3*p = b - 2, -b + m*p = p + 6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, i: 2, p: 2}. Give prob of picking 1 i, 2 t, and 1 p.\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-3)\/18*-3. Is 2634\/3 - (-1 - (r - 1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 238\/8 - 4\/(-16). Let d be (n\/14 + -2)*1. Let i = -5 + 6. Sort d, i, 0.4 in increasing order.\nAnswer: d, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -9*r + 96. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4513686?\nAnswer: 2, 3, 752281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4 = 4*b. Suppose 126 = 39*g - 18*g. Solve -s = b*s - g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1382 + 45*w**2 + 1382 - 47*w**2. Let x(g) = 3814*g. Determine l(x(r)).\nAnswer: -29093192*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71785.83 centimeters in millimeters?\nAnswer: 717858.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29455051981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/3, 5, -3390436?\nAnswer: -3390436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -4 + (0 - -7) + -11 - -21.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*j - 4*u, -2*u + 3 = -4*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/240 and 89\/18.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103829420?\nAnswer: 2, 5, 1567, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*t - 372*t - 30128*t**2.\nAnswer: -30128*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/28 and 67\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67202755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3039\/(-39) + 6 + 324\/(-156) + (-80)\/20\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*k = -134*k + 467*k - 138*k - 1056 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 650673876 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39825253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 450421 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 2, c: 1, r: 2, z: 2, i: 1}. Give prob of sequence hczl.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -11*s**3 + 3*s**2 + 2*s - 2. Let k(d) = -12*d**3 + 4*d**2 + 3*d - 3. Let y(t) = 2*k(t) - 3*v(t). Calculate y(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -15a?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 28*y + 513. Find the third derivative of -y*a**6 + 144*a**6 - 62*a**2 + 96*a**2 + 83*a**6 + 73*a**2 wrt a.\nAnswer: 24000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/4)*z*z)**(-4\/7)\/(z*z*z**22*z**(-19)) assuming z is positive.\nAnswer: z**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (-1 - 2) + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101096 divided by 1.\nAnswer: 101096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90596 and 852?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -j. Suppose -a + 42 = j*a. Calculate the smallest common multiple of a and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) 3 (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - -16*(-1035)\/368?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -414, -541, -628, -675, -682, -649?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 3*u**3 - 2256 + 2256.\nAnswer: 3*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)\/(-3*(sqrt(4) + sqrt(324) - sqrt(4))) + 0 + -5*(-1 + sqrt(147)))*3)**2.\nAnswer: -9470*sqrt(3)\/3 + 902884\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1120)\/21 + 0)*(-23 + -1). Suppose 3*k - p = -13*k. Calculate the remainder when k is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24226.\nAnswer: 2, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1892*c**3 + 421*c**3 + 4974*c**3 + 824*c**3 + 1235*c**3.\nAnswer: 9346*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q - 22*q - 39*q + 4*q. Let o(p) = -32*p + 14*p + 7*p + 14*p. Calculate o(a(v)).\nAnswer: -180*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 27*j + 10*j - 38*j + 45 + 8.\nAnswer: -j + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 15*u + 35. Let t be d(17). Let v(n) = 4*n**2 + 7*n - 5. Let j(a) = a**2 + a - 1. Calculate t*v(o) - 5*j(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153438 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 + 25*u + 25 - u**2 - 2*u**2. Let g(x) be the first derivative of x**3\/3 - 3*x**2 - 6*x + 39104. Give 6*a(p) + 25*g(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**33\/(t*t*t*t**(1\/4)*t)**(5\/6) assuming t is positive.\nAnswer: t**(-85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1971, 1969, 1967, 1965, 1963, 1961?\n\"Answer: -2*k + 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 + 1 + 15*v - 13*v - 1.\nAnswer: -3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 901 and -5499.\nAnswer: -4598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38.6, -1\/247, -1\/7, 36?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*l + w, -4*l + 9 = -8*l + 3*w. What is the tens digit of 9 - -800 - (-8 + l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26307 + -16006. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2. Let d be w(-1). Let g(j) = 14*j. Let i(q) = 9*q. Suppose -s - 2*n = -29, s + 31 = 53*n - 50*n. Give d*i(l) + s*g(l).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(28) + 3.\nAnswer: sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 5)\/(-12) + 52\/(-16). Let m be (j + 5)*(2 + (-3)\/(-6)). Suppose 0 = 8*i - 3 - m. Which is the nearest to i? (a) -1 (b) -0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/4)\/4 + 1. Let i = 0.1 - 0.2. What is the closest to s in i, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 74*b**2 - 20*b**2 - 32*b**2 in the form m + t*b**2 + o*b and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00717 to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (441\/(-588))\/(-2*(-3)\/(-43312))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52, -396, -1132, -2150, -3444, -5008, -6836?\n\"Answer: k**3 - 150*k**2 - 5*k + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u + 401 = 326 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319512906?\nAnswer: 2, 3, 139, 127703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2.6. Let d(t) = -t**2 + 10*t - 5. Let p be d(9). Let g = 0.1 + 0. Which is the closest to g? (a) z (b) -2\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 47107 and -0.21.\nAnswer: 47106.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6875360351?\nAnswer: 6875360351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 a factor of 141156674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 82\/615 + 4\/(-9) + 15922\/1710\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + q)*(2*q**4 - 12 + 12 + (3*q**3 - 2*q**3 - 3*q**3)*(3*q - 4*q - q) - 2*q**4 + q**4 + 2*q**4 + 2*q**3 - 2*q**3 - 2*q**4 + 2 - 2 - q**4).\nAnswer: -4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187 and 1.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 2*g - 3*g)*(g - g - 2*g) - 95*g**2 - 25*g**2 + 25*g**2 - 10*g**2 in the form u*g + b + v*g**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 0.1, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*b**3 + a**2*x*y**3 - 4*a**2*x + 2*a*b**3*x*y + 2*a*b**3*y**3 + 124*a*b**2*y**3 - 2*a*b*x*y wrt a.\nAnswer: 4*b**3 + 2*x*y**3 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -2. Let s = k + 1. Suppose s = 3*p - 2*p, -3*g + 21 = 3*p. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 222.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1387 is divided by 1075?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2990 (base 14) to base 2.\nAnswer: 1110011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3021239471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-12))\/(10\/(-45)). Let j(u) = 6*u - 6. What is the lowest common multiple of j(l) and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j. Let m(i) = 185446439*i - 2. What is c(m(v))?\nAnswer: -370892878*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 17, 49, 105, 191?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**3 - 75 - 22 + 21*l**3.\nAnswer: -2*l**3 - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 268, 282, 310, 358, 432?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(936) - sqrt(936)*2)*-6 - sqrt(936))\/((-4*sqrt(48)\/sqrt(8))\/sqrt(3)))**2.\nAnswer: -2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1046\/119 + 12272\/5593. Let b = 141125\/21432 + f. Let d = b - 1\/24. Is -1 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*4\/6.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 184*w - 3. Suppose -15 = 6*f - 9*f. Is s(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3, 3, -1, 0, -382.\nAnswer: -382, -3, -1, -1\/3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2975 and 476.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.43 + -0.43. Let s = 1 + -5. Let n = -4.89 - 0.11. Which is the closest to l? (a) s (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + -1 - (-644 + 559).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 + 39 + 36 + -22.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 8*b**2 - 10*b**2 - 42 - 3*b - b + 45. Calculate w(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 12\/(-7))\/(120\/(-126)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 812\/77)*(-4)\/(-10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:23 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*d - d**2 + 21107*d**3 + 476*d + d**2 + 476*d.\nAnswer: 21107*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40857967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/126 + 724\/14. Let s = 53 - u. Solve 4*l = 3 + s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2090, 1 in decreasing order.\nAnswer: 2090, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/6*(-6)\/4. Let m = 2\/33 - 13\/33. Let a = 28.6 + -28.7. What is the closest to a in t, 2\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 2675804*q - 339891624.\nAnswer: 4*(q - 127)*(q + 669078)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c + ae18ab?\nAnswer: ae18e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -124972, -125084, -125196, -125308, -125420, -125532?\n\"Answer: -112*n - 124860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*n + 2 - 15 - 2*n**4 + 12 + 47*n**3 + 85*n + 2*n wrt n.\nAnswer: -24*n**2 + 282*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 88, 295, 700, 1369, 2368?\n\"Answer: 11*o**3 - 2*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w + 1007498 = 33*w - 2*u, 2*u = w - 503755. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -87, 4, 2 in ascending order.\nAnswer: -87, 0.03, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 - -52. Let u(h) = -h**2 + 16*h - 8. What are the prime factors of u(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 10*j - 11*j - 8, -12 = 5*j + 2*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110010101000011100111 + 1000010?\nAnswer: -10110010101000010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665 (base 8) to base 11.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1570 and -1286793.\nAnswer: -1288363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, 1, -4, 2, -0.04269?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-2*r**3 - 2 + 2) + (-2 - 3 - 3)*(r**3 - 3*r**3 - r**3).\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = m - 12. Suppose 5*x - 2*f = 350, m*x + 5*f = -2*x + 385. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8019 and 78?\nAnswer: 208494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2377 = 904*d - 61807 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41871 to the power of 1\/2, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*y**4 + 52*y**3 + 960*y**2 - 14*y**3 + 50*y**3 - 352*y + 32 = 0. What is y?\nAnswer: -2, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 15. Let p be z(-11). Suppose p - 16 = -4*y. Let s be (y - 6) + 4 + 6. Solve -2*o + 1 = -s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1839, 3665, 5479, 7281, 9071, 10849?\n\"Answer: -6*s**2 + 1844*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -865*k + 357*k - 256 = -444*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -13 - (6 + -1 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 - 2*q + 1. Let t be v(1). Let n(u) = -t*u + 5 - 11 + u - 2*u + u**2. Let i be n(6). Calculate the highest common factor of i and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyybctcypxcx. What is prob of sequence ptx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.547875354966 + 0.08?\nAnswer: -0.467875354966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-32)*x*x)**(3\/7) assuming x is positive.\nAnswer: x**(-90\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, x: 6, v: 1}. Give prob of picking 1 v and 3 x.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25125.96 minutes?\nAnswer: 1507557600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and (18\/(-12))\/(-1)*(-32)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 7*z**2 + 13*z - 14. Let y be q(6). Let w = -28 + y. Factor -2*o**4 + w*o - 8\/9*o**5 - 2\/9*o**2 - 4\/3*o**3 + 0.\nAnswer: -2*o**2*(o + 1)**2*(4*o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 352 - 1762\/5. Which is bigger: 55 or v?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeezbzbeeooxebo. Give prob of picking 1 z and 1 e.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 25. Let u(f) = 2*f + 2*f - k*f. Let v(q) = -q**2. Determine u(v(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -173 + 172. Which is smaller: t or 0.15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77630633, -77630639, -77630649, -77630663, -77630681, -77630703?\nAnswer: -77630729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48390931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 378 + 7\/(-5)*-5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11031952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**4\/4 + 32. Suppose 3*h - 2*x - 1488 = x, 2*h = -5*x + 985. Let a(r) = 3*r**2 + h - 5*r**3 - 495. Give -a(u) - 6*o(u).\nAnswer: -u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 12) to base 10\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 969700 in 7, 16, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*f + 15*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 5*w**4\/24 + 3*w**3 - 6*w**2. Let i be n(-3). What is the units digit of (-483)\/(-14) + i\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 122 = 372. Let b be ((-2)\/4)\/((-5)\/g). Let q(x) = -4*x + 3 + b + 0. Let n(i) = 3*i - 5. What is 8*n(f) + 5*q(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3752263*t*w**3 - 2*t*w**2 - 2*t*w + w**2 - 38612*w wrt w.\nAnswer: -22513578*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166209?\nAnswer: 3, 17, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61 - 129 - 140)*(q - 18 + 12 + 8 + 2*q**2) in the form y*q + o*q**2 + v and give v.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 11*q = -2. Suppose g - 67 = -3*z, -3*g - q*g + z = -255. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a micrometer in nanometers?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/2*-2*(-45)\/(-10). What is the tens digit of 1846\/3 - 27\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 37, 79, 137?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814*j - 208 = -788*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g - 13. Let u(w) = w**3 + 4*w**2 + 5*w + 6. Let t be u(0). Let s(x) = 7*x - 7. Give t*a(k) - 11*s(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 29 = -j, b - 88 = -2*j + 3*b. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 4*o + 1422, -5*w + 11*o - 6*o = -1005. Calculate the remainder when w is divided by 177.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-245)*(-18490)\/(-192). Let w = s - 172\/21. Find the common denominator of (305\/50)\/((-6)\/5) and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t + 75. Round t to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -44, -101, -206, -377, -632, -989?\n\"Answer: -3*g**3 + 3*g**2 - 15*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 4*g + 1. Give s(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3572, -14308, -32202, -57254, -89464, -128832?\nAnswer: -175358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 23*t - 86. What is w(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = z + 65, 3*k + 121 = -2*z - 2*k. Let x(p) = -39*p + 97. Let h be x(3). Let t = h - z. What is the remainder when t is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127948183.\nAnswer: 11, 37, 28579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3573385 = 11*o - 46968. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 38*x\/7.\nAnswer: -2*x*(x - 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 24, -4 in decreasing order.\nAnswer: 24, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3\/4 - 3474*p**2 + 3676455*p + 818942100 = 0?\nAnswer: -188, 2410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 18?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2623338 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**3\/3 - 13*o**2\/2 + 5*o - 12. Give w(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12742.3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/(-8))\/(21076\/57480).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41362110 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -82958305 greater than -82958311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22610 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.42998103 + -32.43. What is i rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -87. Suppose 0 - v = d. Let w(h) = -3*h + 6. Determine w(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2566751.4 months to years.\nAnswer: 213895.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12100 - 12104. Sort 4, 1, s, 763, -5.\nAnswer: -5, s, 1, 4, 763","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**4 + c**3 - 2*c + 1. Let x(g) = g**3 - g**2 - 1. Let d(r) = -5*s(r) - 5*x(r). Factor d(l).\nAnswer: -5*l*(l - 1)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = -3*g, 59*q - 62*q = 3. Let w = 0.7 - -0.3. Let r = w - 0.9. Which is the closest to r? (a) g (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3457*m - 2. Determine n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 14. Let s(o) = 17*o - 126. Let l(u) = -18*a(u) + 2*s(u). Let m(b) = -9*b**2 - 50*b. Calculate l(m(h)).\nAnswer: 18*h**2 + 100*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 37*n**8\/336 - 7*n**5\/60 + 5*n**3\/6 - 122*n**2. Find the third derivative of q(y) wrt y.\nAnswer: 2220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.061 - -0.161. Let j = k + 4.9. Put j, 2, 2\/5 in descending order.\nAnswer: j, 2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.3 + -2.4. Let d = u - -0.1. Suppose -2*g - w = -3*w - 12, 10 = -5*w. Sort -0.2, d, g.\nAnswer: -0.2, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 33*a**4 + 5*a**2 - 20*a - 5. Let c(g) = 33*g**4 + 4*g**2 - 19*g - 4. Let u(p) = 4*b(p) - 5*c(p). Find the second derivative of u(t) wrt t.\nAnswer: -396*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iijiiiiiiiiiiii. What is prob of sequence ijj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**2 - 2*g. Let w(z) be the second derivative of 11*z**4\/12 + 3*z - 191. Determine w(o(u)).\nAnswer: 1331*u**4 - 484*u**3 + 44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 1\/(2\/(-8)*1))*51. Calculate the highest common factor of x and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0*b**3 - 2\/525*b**7 + 0*b**4 + 0 + 0*b + 0*b**5 - 1\/75*b**6 - 16*b**2. Let i(t) = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 171430?\nAnswer: -171423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -6\/731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 266 - 242. Which is the smallest value? (a) 1\/5 (b) 2 (c) 0.1 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16.9 and 5963 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -2 + 12\/3. Solve g = 2*o - x, 4*o + 4 + 0 = -2*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091 - -1155?\nAnswer: 1155.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1728 and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.038?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10359.\nAnswer: 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 - 56. What is the smallest value in h, 0.3, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27800543 greater than or equal to -27800548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1*(-6)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2\/7, 0, 3.5, -8.\nAnswer: -8, -6, -2\/7, 0, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) -1.9 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 163326 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + z**2 + z - 1. Let r be i(-4). Suppose -5*d = -4*q - 60, -12 - 8 = 5*d. Let w be 4 + (r\/q - 3\/(-4)). Sort w, 3, 1\/8, 0 in decreasing order.\nAnswer: 3, w, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 498\/9 + 2\/(-6). Let w = q + 2. Is w a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1.232?\nAnswer: 0.2464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6003*q - 12. What is g(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkssssykssssukskuks. What is prob of picking 2 u and 2 s?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14745 + -13954. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(5\/7)\/b)\/b)\/(b\/(b**15*b)))\/(b*b*b*b\/b**(2\/7)*b**15) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1820 and 168.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -180972 (base 10) to base 2\nAnswer: -101100001011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -17)\/((-1064)\/(-112) - 2*5)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101295?\nAnswer: 3, 5, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:15 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z*z**2\/z*(z**1)**(-49))\/(((z\/(z**(-2)*z))\/z)\/z**(-1\/5))**(1\/3) assuming z is positive.\nAnswer: z**(-262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88751483 is divided by 783.\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -205*w**2 - 199*w**2 + 405*w**2 + 3 + 7*w. What is f(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -96. Calculate the common denominator of 1\/10 and ((-14)\/(-12))\/((-10)\/g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d + 1. Suppose 2*s - 5*r + 15 = 0, 40 = -s + 4*s + d*r. Suppose s*q + 11 - 266 = 0. Is 25 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 2*t + 2. Let r(s) = -3*s**2 - 9*s + 9. Let y(q) = -2*r(q) + 9*u(q). Let o(a) = -a - 4. Let d be o(-7). Let w(n) = -d*n - n + n. Give w(y(p)).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 4*p - 1. Let w be b(-3). Let y(h) = -h**3 + 5*h**2 + 4*h - 5. Let v be y(w). Let q = v - 3. What is the least common multiple of q and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30*-3*(-28)\/630. Solve u = -x*q + 5, -7*u - 2*q + 6 = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 5) + (17 - -3) - -5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 309995?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*((-10)\/(-2))\/(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7\/(154\/2292) + (-64)\/352 and 91.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -6 - -5) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssv when three letters picked without replacement from {v: 6, s: 6, z: 7}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9328 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -79. Let s = x - 2. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111 - -10011000011010011010100?\nAnswer: 10011000011010101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 5*d - 3. Let k be u(4). Suppose -3*t = -5 - 7, 2*h + t + 6 = 0. Let w be 13\/h + (7 - 259\/35). Put 4, k, w in descending order.\nAnswer: 4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 14949?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 24\/197?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1035 - -1631. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) 7 (c) 1\/5 (d) -188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7 + 6)*(5*f**5 - 4*f**5 + 3*f**5) - 2*f**5 + f**5 - f**5 + 0*f + 2*f**5 + 0*f + (5*f**5 + 0*f**5 - 2*f**2 - 2*f**5)*(-1 + 1 - 3).\nAnswer: 23*f**5 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 4:15 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 11*k**6\/120 - k**4\/12 + k**3\/6 - 3*k**2. Let b be g(2). What is b rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose -2*h - c*t = -99, -h - 1 = -2*t - 40. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.054 - 1.946. Let t = -5 + -2. Sort t, -1, j in ascending order.\nAnswer: t, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -53*f. Let l(n) be the first derivative of n**3\/3 + 420. Calculate l(y(t)).\nAnswer: 2809*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 1:29 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*t**4 - 9635*t**3 - 5662*t**2 - t - 50 wrt t.\nAnswer: 216*t - 57810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.491 or 90?\nAnswer: 12.491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -8*r**3 - 21*r - 6. Let b(i) = -7*i**3 - 21*i - 5. Calculate 6*b(y) - 5*v(y).\nAnswer: -2*y**3 - 21*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -536 at least -537?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 7*p**2 + p + 9. Let z be x(-7). Suppose -s + 4 = -a - 2*a, 2*a = s - 4. Solve -z + 5 = h - 2*d, 3*h - d + 6 = a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.8 - 0.8. Let u = 5.9999998 - x. Round u to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 14985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 35*y - 51. What is z(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 32232*b**2 - 322370*b + 2417900\/3.\nAnswer: 2*(b - 5)**2*(b + 48358)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from hhhzhhheh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/6*(-5764)\/(-1179)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244.\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 119, 130, 141, 152?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2446\/45 (b) -2 (c) 2\/43 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2020 + 3?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/15)\/(((-5)\/25)\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**4\/5 + 2*v**3 + 12*v**2\/5 - 8*v\/5 - 16\/5 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 + 2*f + 4. Let h be (4 + -2)*13\/(-2). Let s(x) = x**2 + 11*x - 14. What is the remainder when j(3) is divided by s(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**2*u**3 + q**2*u + 67*u**3*x - 5*u**2*x + 8*u - 2*x wrt u.\nAnswer: -6*q**2 + 402*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2311104 and 27.\nAnswer: 20799936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 9*k**2 + 44*k - 277. What is the units digit of r(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27381 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from rnyrjrrrnwnrry.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 3*k**2 - 5*k - 1. Let t be y(-4). Let l(w) = -2*w**3 + 2*w + 2*w**3 - 4*w**2 + 3*w**3 + 2. Is l(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -19. Suppose 4*c + 10 = -2*i, -2*i - 5*c - a - 9 = 0. Solve -u + 6 = i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 117 = -93 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + 101110111000110100110100?\nAnswer: 101110111000110101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.16, -3, 6\/17, -3\/5, -1\/6 in ascending order.\nAnswer: -3, -3\/5, -1\/6, -0.16, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7583 - 6920 = 39*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15564.1 + -15638.0815. Let f = 49 - -25. Let g = s + f. What is g rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*n**2\/9 - 124*n\/3 - 92\/9.\nAnswer: -4*(n + 23)*(4*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 7*i**2 - 4*i + 8. Let q be l(-6). Let m be 4 + 43\/3*12\/(-40). Which is the closest to 1? (a) -3 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*q - 4*a, -3*q + 6 = -4*a + 3*a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55786?\nAnswer: 2, 27893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 22*r + 41. Let y be t(18). Let j = -6 + y. Let n = 41 + j. Solve -2*x + 13 = -3*d, 8*d = -2*x + n*d + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-2821)\/(-217)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333299 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.311761 to 1 dp.\nAnswer: -24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g - 6. Suppose 0 = 3*t - 4*y + 7*y, 0 = y + 3. What is the second derivative of -3*l**3 + 7*l**t + 19*l + l**g + 9*l**3 wrt l?\nAnswer: 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/11 and 22\/281903.\nAnswer: 3100933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 66367*j**3 + 6*j**2 - 37*j + 160. Let u be w(5). What is u rounded to the nearest 100000?\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -8*i - 7. Let f(h) = 8*h + 6. Let r(s) = 6*f(s) + 5*q(s). Determine r(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s - 2*s + 5*s)*(-299 + 299 - 3*s) - 3*s**2 - 2*s**2 + s**2 in the form t*s + m + c*s**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4886 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -k - 1. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 14) to base 5.\nAnswer: -2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.93708 litres to millilitres.\nAnswer: 3937.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13840575.\nAnswer: 3, 5, 7, 41, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - -34 - -37) + 7 + -2 + (-6 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 2\/23 (c) -56 (d) -0.091 (e) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - s - 45.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 12:55 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -32, -2\/11, 7, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + 5*n + 5. Let d be o(-5). Let t = -5 + d. Suppose -4*g = 5*r - 60, 3*g = -2*r - t*r + 38. Is g a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/2 (b) 0 (c) -141 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (20 - 14) - 5 - (0 + 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 3 + 3. Let s(w) = 2*w**2 + 10*w - 10. Let i be s(-8). Let h(a) = -i + a**2 + 38. Give h(r(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e308c + -62?\nAnswer: -e30ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -1\/3, -3\/4, -1249, -1\/4, 0.04418?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2 = 2*h. Let i be 15\/6*(2 - 0). Let y(c) = c**3 - c**2 - 5. Let t be y(0). Sort h, i, t in descending order.\nAnswer: i, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*d**2 + 5*d**2 - 4*d**3 - 3*d + 23*d - 12.\nAnswer: -4*(d - 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.2, 1759619, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**3 - 5*y - 3. Suppose -56*p = -51*p - 5. Let l(r) = -5 + p + 6*r**3 + 73*r + 67*r - 146*r. What is 3*l(b) - 4*w(b)?\nAnswer: -6*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127993897103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2011141 (base 8) to base 9.\nAnswer: 885570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 7*d + 16. Let y be l(8). Suppose -3 = -y*g + 213. Solve 0 = -8*x + g + 5 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*2709\/28 + 2\/(-4). Let u = 195 - l. Solve -a + 1 = b + 2, -u*b - 8 = -4*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*y = 69, 2*o = y - 5*y - 22. Let g = -131\/7 - o. Let 32\/7 + g*b**2 - 16\/7*b = 0. Calculate b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87 - 69 = -26*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/19 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1039 - 1014. Suppose 7*b + 25 = 12*b. Solve -5*y - d = 0, -11 = o - 3*y + b*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13734367.71 to the nearest one hundred thousand.\nAnswer: 13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 10. Let m be (-1)\/4 - (-1 + 189\/r). What is the units digit of (-6)\/(-15) - m\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/10 - 3*p**2\/5 - 3*p\/10 + 1.\nAnswer: -(p - 1)*(p + 2)*(p + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*o + 3*b, -7*b = -2*o - 9*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/8 and 79118\/(-40936) - 5\/(10\/(-4)).\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 times -164?\nAnswer: 13.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 + 4*c**2 - 4*c + 6. Let u(y) = 3*y**3 + 3*y**2 - 3*y + 5. Let z(w) = 4*f(w) - 5*u(w). Factor z(j).\nAnswer: (j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*4\/(10 - 2). Let k be w*-3*1\/6. Let a = -6\/283 + 2041\/2830. Is a less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -718925 (base 15) to base 11\nAnswer: -3055638","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*r**4 + 20*r**4 + r**2 - r + 2*r**3 + 0 + 1 as q*r + f + b*r**2 + y*r**3 + p*r**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 425*y - 95226. Give l(224).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2, -1, 79 in descending order.\nAnswer: 79, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 24780*t + 51170700.\nAnswer: 3*(t + 4130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6061559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 4 (c) 1\/5 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 8159 - 16412 = -8916 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + 232. What is the remainder when u is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107 - -20. Let p = 122 - s. Which is the fourth biggest value? (a) 2\/7 (b) 4 (c) -1\/13 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 567 + 9?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, s: 6}. Give prob of picking 1 f and 1 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 c when four letters picked without replacement from bbbcbbbcbbc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 1 - 1)*(n - 3*n + n) - 20*n - 9*n**2 + 20*n + 193*n + 9*n**2 - 4*n**2 - 132*n.\nAnswer: -3*n**2 + 61*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20650780 and 14.\nAnswer: 144555460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 36. Let q = -31 + y. What is the lowest common multiple of ((-33)\/q)\/(2\/8) and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-10))\/(6\/(-120)*4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 - -0.06691351?\nAnswer: 153.06691351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 10*k = -3*h - 48, 8*h + 4*k + 38 = -142 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170 - 170. Solve 0 = -3*f - 3*k + 2*k - 5, m = -5*f + k + 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -104609?\nAnswer: -104608.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, 3, 2 in descending order.\nAnswer: 3, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 28*z**2 - 15*z - 6. Is o(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26918 - -10?\nAnswer: -26908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 1}. What is prob of picking 3 p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 12*g - 8. Let o be b(8). Let r be (4\/3)\/(16\/o). Let j be (-21)\/(-11) + (0 - r). Which is smaller: j or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3344 is divided by 1046.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 13*m - 70. Calculate v(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 31) + (-37 - (-63 + 4)) - (-29 - 1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 27026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3362680 times -13\nAnswer: 43714840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.033 times -30.62\nAnswer: 1.01046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*(-148)\/(-1295))\/((-3)\/28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3997 + -0.399678404. What is v rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from allaukuakka. Give prob of picking 1 l, 1 a, and 1 u.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v - 24 + 14 - 9*v + (0*v + 0*v + v)*(0 - 4 + 3).\nAnswer: -3*v - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3363 - 663020?\nAnswer: -666413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12046 and 5\/3692099.\nAnswer: 7384198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 8*r**2 + 8*r - 5. Suppose -4*h + 24 = 2*s, -4*s + 0 = -2*h + 32. What are the prime factors of y(h)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/(1\/447) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, 3, 1, 12 in descending order.\nAnswer: 12, 3, 1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7)\/(z\/(z\/z**7))*(z*z\/(z*((z\/(z*z**0))\/z)\/z)*z)\/z*z**2*z*z)**(-10\/3))**(-9) assuming z is positive.\nAnswer: z**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*b + 2*x, -2*x - 16 = -2*b + 2*x. Suppose -8*r + 288 = -2*r. Let d = -46 + r. Solve b = -2*a - d*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-2\/5))**1\/(p**(-1\/2)*p**5))\/(((p\/(p**(-5\/6)\/p*p))\/(p\/(p\/p**(-6))*p))\/((((p\/p**(2\/13))\/p)\/p)\/(p\/p**0))) assuming p is positive.\nAnswer: p**(-2318\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/7*(-14)\/4. Let l be (-1)\/(2\/(-8)) - (11 + -14). Let k be (l\/21*0)\/(-2). Solve h + y - 1 = k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 1161?\nAnswer: 5805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/21 + (-368)\/(-14). Let r be k\/(-2 + (3 - 3)). Let x be 318\/39 + 2\/r. Calculate the highest common factor of x and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2. Let x(y) = 2*y. Let w(s) = s. Let r(g) = -7*w(g) + 4*x(g). Give r(c(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 6, 28, -27, -2.\nAnswer: -27, -19, -3, -2, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*g - 17, 5*g = -2*p + 2*g - 11. Suppose 29 = p*w + 3. Calculate the remainder when (-3 - -7 - 1) + 33 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80018*n**2 - 647529 wrt n.\nAnswer: 160036*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**0)*x*(x\/(x*x**2))\/x*x*x*x*(x\/((x**(-5)\/x*x)\/x)*x)\/x**(-1\/6)*((x**(-2\/9)*x*x)\/(x*x**(-1\/7)))\/(x**(1\/2))**(20\/3) assuming x is positive.\nAnswer: x**(851\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 52207 and 9147836751.\nAnswer: 9147888958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58034*f = -4*l - 58038*f + 64, -f = -2*l + 38 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6197268.\nAnswer: 2, 3, 7, 11, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2025) + 1*sqrt(2025) - sqrt(2025))\/((sqrt(5) - -2*sqrt(5)*5 - sqrt(5)) + sqrt(5)).\nAnswer: 9*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 6 - (1 + 1) - 25. Let u = r + 20. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 30, 91, 188, 327, 514, 755?\n\"Answer: h**3 + 9*h**2 - 3*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/5)\/d)**(-2))**(1\/26) assuming d is positive.\nAnswer: d**(7\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s*s\/(s\/(s**(-7)*s*s)))*s)**(2\/55)\/(s\/s**2)**(-44) assuming s is positive.\nAnswer: s**(-482\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -103, -2, -5, 29, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 32 - 0. Let k = 10 + x. Suppose k*n - 4*w = -w + 33, 0 = -3*w - 15. What is the remainder when 43 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 5*i - 8*i)*(0 + i + 0)*(3 - 9 - 4).\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3093*v**3*w**3 + v**3 + 1301*v**2 - 8*v*w**3 - 347*v*w**2 + 3868*w**3 wrt v.\nAnswer: 18558*v*w**3 + 6*v + 2602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98104 - 882938\/9. Let z = -17 - -16.933. Sort -0.1, r, z in decreasing order.\nAnswer: z, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (142\/(-14))\/(1050\/(-96) + 11). Let w = f + 162. Which is the closest to -2\/11? (a) 0.1 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5. Let k(d) = -3*d**3 - 2*d**2 - d. What is the least common multiple of 22 and k(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142243 divided by -103.\nAnswer: -1381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5}. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3071.\nAnswer: -4\/3071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3360 and 17\/7794640.\nAnswer: 46767840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7573.531us to milliseconds.\nAnswer: 7.573531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 269540113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y + y)*(-42*y**2 - 42*y**2 + 83*y**2) + 12*y - 12*y - 40*y**3.\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88567639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**3\/7 + 195670*j**2\/7 - 21535691*j\/7 + 21340020\/7 = 0?\nAnswer: -195780, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 76 = -35*q. Let i be -1*3*(2 - -2)\/(-4). Suppose q*c = -i*d + 681, -5*d + 850 = 4*c + c. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1941715, 3883431, 5825147, 7766863, 9708579, 11650295?\nAnswer: 13592011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 88*q - 155 + 91*q + 60 + 2*q**2 to l*q**2 + d*q + y and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58288895 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) + sqrt(91)*3)*5 - sqrt(91))\/((sqrt(98)\/sqrt(7))\/sqrt(2)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lnl when three letters picked without replacement from {i: 1, n: 1, l: 5, w: 3, y: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 32*u = 33*u + 7, 8*j + u + 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 5*z - 4. Let d be f(3). List the prime factors of 8\/d - (-76)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 7:22 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7759 is divided by 553.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0320825586 rounded to 5 dps?\nAnswer: -0.03208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 27 = 5*m - w, -4*m + 4*w + 28 = 0. Suppose -3 = -d, -m*v - 13 = -5*d + 2. Find the third derivative of v*j**6 - 2*j**6 + j**6 - 2*j**2 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008191688532 rounded to five dps?\nAnswer: -0.00819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (8\/3)\/(8\/(-12)). Solve 0 = n*q + 6 + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 30? (a) 1\/3 (b) 0 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*l + 58*l + 93*l - 4032 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1539103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 3:54 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 14*j + 9 = 0. Is -10 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 467*h**3\/3 - 23*h**2\/2 - 83*h - 23. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 15 = -5*l, -28 = b - 11*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0.3, 1\/3, 346?\nAnswer: 346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*a*t**2 - 18624675*a + 935093*t**2 wrt t.\nAnswer: 40*a*t + 1870186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 2*m**7\/21 + 3*m**6\/10 - m**4\/6 + 2*m**3\/3 + 3*m + 2. What is the third derivative of g(q) wrt q?\nAnswer: 240*q**2 + 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*t + 56, 136 - 38 = 7*f - 4*t for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwwwwwfvwfffl. What is prob of sequence lff?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -143, -141, -139?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 577\/3325 - 1\/475. Let y = u + 4\/385. Put -1\/2, -3, y in descending order.\nAnswer: y, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-95)\/100 + -5)*(-58 - 6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4 = 3*q. Solve 0 = 5*j - 4*j + q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001814km in nanometers?\nAnswer: 1814000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.229127ng to kilograms.\nAnswer: 0.000000000000229127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.4674 litres?\nAnswer: 62467.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231465 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (10 + 1544)*(-6)\/(-4) + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c + 505 + 552 + 896 = 0 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(4\/9))**(-3\/17)\/(f**20)**12)**(-49) assuming f is positive.\nAnswer: f**(599956\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/1161*4\/((-8)\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.095 (b) 3 (c) -1\/6 (d) -1115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/9592 and -19\/2860.\nAnswer: 623480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 276 and 828?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*t = -6708, -2*a + 0*a - t = -6723. Suppose -6*v = -v + 2*b - 16707, 0 = v - 4*b - a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -y - 11, -11 = -3*i + 3*y + 2*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-21)*(-474)\/(-632). What is the second smallest value in 4, q, -15\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f + 63. Let t be p(20). Suppose -t*z + 127 = 169. Let d be (-3)\/((-7)\/(z\/(-3))). Solve -d*a + r - 3 = 0, -5*r + 22 = -3*a - 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13509.8166 hours to weeks.\nAnswer: 80.415575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 4:27 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -954668 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 55 = d. Let s be 1\/(-2)*(4 + -4). Suppose y = -s*y + 4. Calculate the remainder when d is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 236 = d, -2*d + 4*d + 5*c = 517. Let w = d + -81. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u + 34*u - 16*u.\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 252509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 160286 <= 160168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3665*u**2 - 36371457*u\/2 + 7443 = 0?\nAnswer: -4962, 3\/7330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 83 = 148. Sort 3, d, -24, 4.\nAnswer: -24, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from lllxzxxzlxlxzxlzl.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0.087, -1, -1\/4.\nAnswer: -3\/2, -1, -1\/4, 0.087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -26032 rounded to the nearest 100?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -100001101001100010101?\nAnswer: -100001101001100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 2*o + 24 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608722 a multiple of 296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pptpprplthppphr. Give prob of sequence hlr.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6771922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s - 36. Let k(t) = -t**4 + t. Let c(y) = 9*y - 73. Let a be c(8). Let h(m) = a*k(m) + g(m). What is the derivative of h(x) wrt x?\nAnswer: 4*x**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.194 - 0.306. Put 0, 20, m, 0.4 in increasing order.\nAnswer: m, 0, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*q - 18 = 3*q, -2*x = -5*q. Suppose 2*j - 3*z - 8 - 11 = 0, 2*z = -5*j + 19. Suppose -j*o + 25 = -0*o. Put o, -2, x in descending order.\nAnswer: o, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2124 and 61\/3540?\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 673482 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79809, -318878, -717219, -1274838, -1991741, -2867934, -3903423, -5098214?\n\"Answer: -v**3 - 79630*v**2 - 172*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 16*h**2 - 9*h - 24. Let l be a(-16). Calculate the greatest common factor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 58?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvuurau. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 203*u**3 - 381*u - 4.\nAnswer: 1218*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72.29*0.1058.\nAnswer: -7.648282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277741741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 31*o + 11. Determine a(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 2 (b) -5 (c) -1 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -5*t**4\/4 - 29*t**3\/3 - 91*t + 302. What is the first derivative of v(w) wrt w?\nAnswer: -15*w**2 - 58*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/16*21\/(-175)*(-15)\/(-18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50215825.\nAnswer: 5, 11, 182603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (0 - -7) - -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from hugghgghag.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 326109 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 869, 1756, 2643, 3530?\nAnswer: 4417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (7 + 0 - (-18 - -34)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16350*b**2 + 16348*b**2 - 32694*b**2 + 3.\nAnswer: 4*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y + 5521 + 1367. Let w = 1347 + y. What is the greatest common factor of 18 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -174, 5 in decreasing order.\nAnswer: 11, 5, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32450126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*u**3*v + 2*u**3 + 6*u**2*v + 2*u*v + 12*v + 2 wrt u.\nAnswer: -54*u*v + 12*u + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6841215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9881 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-2)*(120\/162)\/(-10)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9575614, 19151231, 28726848, 38302465, 47878082, 57453699?\n\"Answer: 9575617*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:09 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*z + 3528*z**2 - 3528*z**2 - 2 - z**3 to the form o*z**3 + w*z + x*z**2 + g and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122.394 - 1.606. Suppose -2*d = -5*d + n, -3*d + 3*n = 0. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148993932?\nAnswer: 2, 3, 2657, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 938260 rounded to the nearest 10000?\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 1 - 1 + (3 - 2 + 1)*(-2*h + 4*h - 4*h) - 1 - h + 1)*(-1 + 0 + 3).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.4549 to 0 dps.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 5:28 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25122 (base 6) in base 2?\nAnswer: -111010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -7386200 to the nearest 10000.\nAnswer: -7390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 54378694 and 1.8317?\nAnswer: 54378692.1683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2346.572334 rounded to the nearest 10?\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13538 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**3\/2 - 13*z**2\/4 + 2*z - 101. Factor f(x).\nAnswer: (x - 4)*(3*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135508833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13608830 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9406 - -1372. Calculate the highest common factor of 34 and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -176 divided by 2\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -62 (b) 3\/4 (c) -2921 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59995611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4188240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -5a539b7?\nAnswer: 5a539a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*l**2*p**3 - 8*l**2*p**2*w - 725146*l**2 + 7*l*w + 4739*p**3*w wrt w.\nAnswer: -8*l**2*p**2 + 7*l + 4739*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9001.42677 to the nearest one hundred.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 4. Let v(k) = 10 - 47*k - 9 - 3 - 5 + 51*k. What is 5*b(z) + 2*v(z)?\nAnswer: -2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -4226.7?\nAnswer: -21133.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6221 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: Let n = -7 + 6. Let s = 2 - n. Solve 2*u + 14 = 4*a - u, 5*u + 4 = -s*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*o - 4*o. Suppose 3*x - 454 = 2*r, 2*r + 149 = x - r. Let c = o + x. Calculate the remainder when c is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/210 and 143\/90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-30) + 1\/3. Suppose -3*g + a - 6*a = u, 3*a - 18 = -5*g. Solve -3*r + 3 = -g, -3*i - r = -6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = -136. Suppose -343*y = -315*y - 4760. What is the highest common factor of y and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31814, -63626, -95444, -127268, -159098, -190934?\nAnswer: -222776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 742 - 1*(1 - 0). Suppose -f - 3*f + 8 = 0. Suppose -f*b - t = -5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/20 + (-6)\/(-2). Which is greater: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 71209 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 4, -9941838 in decreasing order.\nAnswer: 4, 0.2, -9941838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13584658 is divided by 90?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -196 - -244. Suppose 2*p + p = -5*r + 36, -5*r = 4*p - x. Suppose -2*i - h + 105 = -0*h, -51 = -i - h. What is the least common multiple of i and p?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.13369, 17, 0.5?\nAnswer: 0.13369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3853493*y + 3853506*y = 390 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 2*b. Put b, 1, -3 in increasing order.\nAnswer: -3, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7760 - 7758. Solve -3\/5*t**4 + 0*t + 6\/5*t**3 - 3\/5*t**v + 0 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124358 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 63*n**5\/20 + n**4\/6 + 9*n**2 + 34*n. What is the third derivative of c(l) wrt l?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 847740 and 21?\nAnswer: 5934180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.3 + -19.38. Let w = 0 - 0.08. Let c = k - w. What is the nearest to -0.3 in -2\/7, c, -2\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 33217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 534814 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 15 = -0*x, -3*f - 624 = 4*x. Let b be (-2)\/5 + f\/(-10). Suppose 25*i + 11 - 111 = 0. Solve i*j = -j + b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1001*p + 1001*p + 19*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2 (b) -1\/4 (c) -4 (d) 2 (e) -769\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -77524 smaller than -77529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 3. Let a = u + -1. Calculate the remainder when 39 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/6*52 - 14\/21. Let w(u) = 5*u + 28. What is the tens digit of w(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(80) + 0)*2.\nAnswer: -32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 103933.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 4:40 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 11. Let r = -20.5 + 13.7. Let o = -7.8 - r. Put o, 5, h in decreasing order.\nAnswer: 5, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -23. Let u = c - 21. Let f(v) = 3*v**2 - 2*v + 2. Let t(o) = -2*o**2 + o - 3. Let h(y) = -3*f(y) - 4*t(y). Give h(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -497.519?\nAnswer: 497.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122011 (base 3) in base 15?\nAnswer: bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -0.36274, 22 in decreasing order.\nAnswer: 22, -0.36274, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 y when three letters picked without replacement from yzyyvvyvyvzyvzzyy?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 18. Suppose 3*z = w + 5, -2*z + s*z + 5 = -w. Let m be w\/(75\/(-9))*-5. Are m and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -61*j - 2669. What is q(-46)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/358, -51.1, 0.05, 1, -2?\nAnswer: -51.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-3)*6\/(-4). Suppose -p*l = -0*l - 2756. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -1 - (-4)\/8*-6. Sort -14, m, 1\/5, 1.\nAnswer: -14, m, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1011 + 1475. Calculate the highest common factor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*k, -3*n - 7*k - 311 = -3*k. Let d be 5*((-414)\/n + -4). Let t = 233\/1268 - -21\/317. Which is the smallest value? (a) t (b) d (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 17*a + 83. Suppose -a = -3*w - w + 4*v, 0 = -3*w - 2*v - 4. Is w > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -2 - (-1187 - -1199)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**4\/12 - 7*a**3\/3 + 2*a**2 - 4*a. Let w be s(-14). Solve -3*c = -i + 1, w*c = 2*c + i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 586104.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 37.5. Let q = u + -5.5. Which is the smallest value? (a) -9 (b) q (c) -0.2 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2807 + 2811. Let l(w) be the second derivative of 1\/12*w**k - 14*w + 0*w**2 + 0 + 1\/2*w**3. Find the second derivative of l(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/13 + 1083487168*f\/13 - 146743055402582528\/13.\nAnswer: -2*(f - 270871792)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13885 = -1217*m - 719 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-3))\/2*7\/(-42)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a factor of 1638434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 7*p**2 + 4*p + 49. Let z(f) = -13*f**2 - 7*f - 95. Give 11*w(k) + 6*z(k).\nAnswer: -k**2 + 2*k - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1. Suppose -3*o = -o - 2*i - 16, -4*o + 35 = -5*i. Let v be t(o). Solve -v = 3*k - 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202222 + 10?\nAnswer: 1210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1676 bigger than 242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**4\/24 + 2*n**3\/3 + 2*n**2. Calculate h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwwww. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a minute in seconds?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 11254132?\nAnswer: 11254135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3948 and 475776?\nAnswer: 22361472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 3*p**2 + 0*p**3 + p**3 + 5*p - 4 + 3*p. Let i be q(5). Suppose 40 = 2*s - 4*f, -f = -3*s + i + 9. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 164 - 78. Suppose -3*r + 5*r = g + 82, g = -2*r + t. What is the lowest common multiple of r and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7763 + -520?\nAnswer: 7243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1258 and 134436.\nAnswer: 4974132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 7. Let o(n) = -6*n + 25*n - 9*n - 8*n + 4. Determine 7*o(v) + 4*w(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1368 - 1368. Solve 4*h - 3*g + q*g = 7, -3*h - 5*g = 31 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2. Let f be (45 - -1) + 30\/10. Let h be 4\/7 - (-217)\/f. Let g(r) = -4*r + h*r + r - r. What is g(z(x))?\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-172)\/6)\/((-134)\/201). Solve -1 = 11*v + r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/9 (b) 4 (c) 21\/11 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1\/1316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 7*h. Let f(c) = -12*c**2 - 15*c - 153. Let z(l) = -7*l**2 - 9*l - 77. Let w(b) = -3*f(b) + 5*z(b). Determine w(a(t)).\nAnswer: 49*t**2 + 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(144))\/(sqrt(150)\/sqrt(3)).\nAnswer: 36*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29181259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001591990836 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**5 + 2530*g**4 - 5075*g**3 + 2540*g**2.\nAnswer: 5*g**2*(g - 1)**2*(g + 508)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p - 71. Let s be z(-24). Suppose 5*h + 19 - s = 0. Solve -10 = q - 3*v, -5*q + 4*v + v - h = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.044*-25.61.\nAnswer: 1.12684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2 - 1 + 0 + 5 + 5*c. Suppose 3*m + 9 = -z - z, 0 = -3*z. Let r(v) = -4*v - 1. Let t = 42 - 44. What is m*r(f) + t*s(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 144\/140*115\/368*8?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142\/7 at least 9821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -94?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 6*o**2 + 7*o + 7. Let j be p(-5). Suppose 5*a = 2 + 8. Let y(z) = z**2 - 4*z + 2. Let w be y(3). Sort j, a, w.\nAnswer: j, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 l when four letters picked without replacement from lllaaall?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.30127cm to nanometers.\nAnswer: 373012700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63745589\/264 - 241461. Find the common denominator of 5\/536 and m.\nAnswer: 17688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3\/3 + 2*d**2 + 2*d\/3 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1022*-1.199.\nAnswer: -1225.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-31)\/(-2))\/((-7)\/14). Let w(t) = -t**3 - 33*t**2 - 62*t + 14. Give w(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1526 - -0.3861218\nAnswer: -1.7664782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3\/7 - 2204*k**2\/7 - 1100*k\/7.\nAnswer: -4*k*(k + 275)*(2*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*19\/513 + 61\/9. Which is the nearest to 3? (a) -4 (b) 1\/4 (c) z (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-135 - -103)) + (22 - 0) + 6.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -1)*(-3)\/(-12). Which is the nearest to 1? (a) l (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201373 - 84327*k**2 + 84350*k**2 - 201373.\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(1\/4))**2 assuming v is positive.\nAnswer: v**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -580533000 divided by 38702200?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2743 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = 5*u - 37, -3*g + 16 = -4*u. Suppose 0 = 13*a - g*a - 147. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.197, 1, 5, -2?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -6. Let x be (22\/(-6) - -1)*l. Let f be 2700002\/3 - x\/12. What is f rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244\/90 + (15 - 15) + -17 + (-143)\/(-9)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 9:50 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00206821049 to 7 decimal places.\nAnswer: -0.0020682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otdotttdddtdo. Give prob of sequence dod.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/28 and 13\/2429.\nAnswer: 9716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -6. Suppose 2*n = -o - 6, -n = -5*n - 4*o - 16. Let m(u) = u + 3. Let w be m(n). What is the nearest to w in -5, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7926096 and 99552?\nAnswer: 269487264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 224.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 1)*(0 + 0 + 2*s) + (0*s + 19*s - 5*s)*(5 - 6 + 3).\nAnswer: 40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.28*-0.8694.\nAnswer: -2.851632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -107. Suppose 0 = -91*s + g*s. Solve 2*x + x - 3 = s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 15 = 0. Suppose m*u - 429 = -84. Let f = u - -20. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(9)*-3) + (4*sqrt(2299))**2.\nAnswer: -sqrt(19)\/3 + 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7409577600 to the nearest integer?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6*u + 71. Give o(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2029 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 357, -5, -5\/34 in ascending order.\nAnswer: -5, -5\/34, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -1.95505\nAnswer: 0.234606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 413744 and 517180.\nAnswer: 2068720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 670*l + 1334. Calculate k(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.5 + 0.5. Let c = l - 3.15. Let x = -0.07 - c. Round x to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219436 and 10489.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 251*h - 710*h**2 - 621*h + 1493 + 711*h**2 + 1250 - 238*h wrt h?\nAnswer: 2*h - 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19747 and 187033.\nAnswer: 75374299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (2 - 5 - 2). Suppose -y*f + f = -6. Let t be (-27 - -8 - -19) + (0 - -2). Solve f*h = -t*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -897, -942, -977, -996, -993, -962?\n\"Answer: p**3 - p**2 - 49*p - 848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*g**4 - 6*g**2 + 3*g + 415 with respect to g.\nAnswer: 24*g**3 - 12*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*195.\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1443653 or -1443639?\nAnswer: -1443639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*u - 6*q, -3*u + 18614*q - 13 = 18615*q for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 13*i - 9. Let t be a(-13). Calculate the remainder when (-31)\/(-3) - 6\/t is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x - 89\/2*x**2 + 92\/3*x**3 - 88. Find the second derivative of r(b) wrt b.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 27\/8*x**3 - 88*x**2 + 19\/240*x**5 - 33\/32*x**4 - 1\/480*x**6 + 0 + 0*x. Factor r(f).\nAnswer: -(f - 9)**2*(f - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16335439 is divided by 116?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1494 + -10266?\nAnswer: -9882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1081376 or -1081374?\nAnswer: -1081376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 - 166 - (-8 - 4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-16) - (-285)\/(-180)*6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118.8 + 112.49. Let d = 0.31 + r. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 143*f - 852. Calculate z(2).\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 82470513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 15*i**2 + i + 1. Let d be p(2). Let a = d + -50. Suppose a*w = 4*w + 171. List the prime factors of w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2*k + 0)*(-2*k + 2*k - k)*(-383*k - 339*k + 87*k) to the form w*k + s + t*k**3 + h*k**2 and give t.\nAnswer: 1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217 by 427.\nAnswer: -31\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*f - 569 = -18027 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 178340625 to the nearest ten thousand.\nAnswer: 178340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 - 150\/(-35). Suppose x - 4*c = 19, -3*x - x - 4*c = j. Suppose 51\/4*n**2 + 1\/2 + 9*n**5 - 53\/4*n**4 - 19\/4*n - 17\/4*n**x = 0. Calculate n.\nAnswer: -1, 2\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -60 + (3 - -20) + 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**4\/6 + f. Suppose -w - 14 = -8*w. Let y(c) = 15*c - 15*c - w*c**2. Give q(y(g)).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/13 + 11942*u**3\/13 + 143496*u**2\/13 + 574240*u\/13 + 765824\/13.\nAnswer: -2*(u - 5983)*(u + 4)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-2)\/6)\/((-60)\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -155.9. What is the third smallest value in 0.3, l, -3, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.879 + 0.606. Let q = h + -1.5. Round q to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from yoooyyro.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 41 + 33 + 33 + 15 + 30 + 21.\nAnswer: -c + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 442213 and 40570.\nAnswer: 4422130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -13*t + 11*t + 8, 5*t - 5*o = 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1796*x - 208 + 105 - 63*x + 103.\nAnswer: 1733*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105003, -210004, -315005, -420006, -525007, -630008?\nAnswer: -735009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, -6 in descending order.\nAnswer: 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4*m + 38. Let u(d) = -2*d - 17. Let o be u(-13). Let z be s(o). Let t(b) = 2*b. Let k(c) = -5*c. Let i(f) = 3*k(f) + 7*t(f). Calculate i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/24)\/(168\/(-448))*(-6)\/(-30).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w - 11. Suppose 4*t + 4*x = -16, -3*x + 13 = 1. Let b be m(t). Suppose 47 = b*y - 13. What is the smallest common multiple of 30 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)\/w**(1\/4))\/(w**(-7\/2)*w*w\/(w\/(w\/w**1)*w)) assuming w is positive.\nAnswer: w**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4799.31 + 2?\nAnswer: -4797.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1 + 2*d + 8 - 1.\nAnswer: 2*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/84 - 8864\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 - 127. Suppose s + 4 = -t - 2, 5*t + j = -3*s. Sort -1, s, 12 in ascending order.\nAnswer: s, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -21*o - 3. Let t(x) = 21*x + 2. Give -3*t(b) - 2*u(b).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 906997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 8*z + 13. Let x be a(-9). Let w = 257 + -258. Sort w, 9, -5, x in decreasing order.\nAnswer: 9, x, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**3\/2 - 27*l**2\/2 - 65*l. Let o be c(9). Solve -w + 4 + 1 = b, 3*b + 2*w - 11 = o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4838 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 13*t**2 + 11*t - 26. Let y be v(6). Let c be -2*(-131)\/(-4)*-2. What is the third derivative of c*z**3 + 26*z**5 - y*z**2 - 131*z**3 wrt z?\nAnswer: 1560*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -38601, 2, -7, -15.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -861432318*h**3 + 92160743*h - 1?\nAnswer: -5168593908*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10924757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*y - 26*y - 34*y - 29*y.\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*p - 5 = 0, 3*l + p = 2*p + 10. Suppose 0 = 57*o - 53*o. Put -3, o, l in decreasing order.\nAnswer: l, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 19*m - 18. Let h be c(-18). Suppose o - 3*n - 92 = h, -5*n + n = 4*o - 352. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.734 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 148484 = 4*t - 148480, -33*x - 3*t - 3 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4633 minus 7?\nAnswer: -4640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, -0.4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 11*b - 11. Let z be l(-10). What is the common denominator of -139\/12 and z + 44\/(-24) + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 292.24905 months to centuries.\nAnswer: 0.243540875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -24305150 (base 6) in base 3?\nAnswer: -1110011120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276023737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75 + 75. Let w = -11\/25 + 6\/25. Calculate the common denominator of 8\/(8 - a) + 22\/(-14) and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 3*b - 20 = k, -5*k + 25 = -3*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 354?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17872 is divided by 17870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:13 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.2758*-0.25.\nAnswer: 1.31895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34.8 in -0.01, 2\/11, 0.3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6429918331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 313 - 313.1. Which is the second smallest value? (a) -0.2 (b) -5 (c) 1 (d) -35 (e) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -86961.3 in ascending order.\nAnswer: -86961.3, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -1) + 5 + 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1\/42, 0.4, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, 1\/4, -1\/42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 2.19, 1, 51?\nAnswer: 2.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 2*g**2 + 4*g**2)*(0 + 1 + g + g).\nAnswer: 6*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22944724879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + 1 + sqrt(832)).\nAnswer: -24*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 67925732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 15, -6*y + 5*y - 2*v = 2. Suppose -4*h + y = 56. Let m(q) = -q**2 - 14*q - 16. List the prime factors of m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 16 = 2*m, -2*s + 6 = -3*m + s. Suppose 3*x = -m*x + 110. Suppose -16 = 3*z - x. Solve 2*f + 4*t + 15 = t, -5*f - 21 = z*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 + 306*i**4 + 2405*i**3\/2 + 1570*i**2 + 1641*i\/2 + 149 = 0.\nAnswer: -149, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88404?\nAnswer: 2, 3, 53, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 + 3*h**5\/20 - h**4\/8 + 10*h**3\/3 - 6*h**2. List the prime factors of b(8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b + 1085. Let a(h) = -55. Let d(l) = 20*a(l) + m(l). Calculate d(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -71. Let s = k - 10. Let g be -4 + s - (-2 + -4). Solve -j - j = g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 10. Let b be 6 + 3\/((-6)\/4). What is the third derivative of -3*i**4 + 2*i**2 + m*i**b - 2*i**5 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 8 = 2*a + 4*l, 0 = 5*a - 3*l + 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6407486 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5799 - 11464 + 6055)*(-3*u + 4 - 4) + 0 - 2*u + 0 + (0 + 0 - 1)*(u - u - u) + 11 - 11 + 4*u.\nAnswer: -1167*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -3 (c) -1.16 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.6 + -4. Let i = -4.13 + 13.23. Let a = i - 7.1. What is the nearest to -2\/5 in u, a, -0.02?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 4. Let b(d) = -8*d + 5. Let t = -43 - -38. Let p(j) = 9*j - 5. Let r(k) = t*p(k) - 6*b(k). Determine 3*h(n) - 2*r(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5622 - -196788\/35. Let c = -4\/5 + q. What is the closest to -1 in -3, 3\/2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -2\/3 (c) 2266 (d) -0.14 (e) 1 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w - 10. Let f(p) = -22*p + 24. Let k(l) = -5*f(l) - 12*y(l). Give k(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243072 divided by 13504\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.71*-32.\nAnswer: -22.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 7:19 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -388462 or -388400?\nAnswer: -388400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2886 + 12234 = -37*v - 420*v - 83*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -23*y + 2. Let f be l(-2). Let n = f + 12. Suppose 0 = -h - 3*h + n. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let n = 10 + -5. Let y = 27586.3 - 27587. What is the second smallest value in l, n, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 62, -5, 4, -173 in descending order.\nAnswer: 62, 4, 1, -5, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 63977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4243 or 0.0905?\nAnswer: -4243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:06 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**3 - 46 + 46 + 1124*u)*(5 + 0 - 2) as i*u + z + t*u**2 + s*u**3 and give i.\nAnswer: 3372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 164459.4 litres?\nAnswer: 164459400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/5 + s**5\/60 - s**4\/24 - s**3\/6 + 2*s**2. Suppose i = 4*q + 3, i = q - i - 1. Is n(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1122 * -0.3\nAnswer: 336.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -168212 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-42 - -9) + 14 + -83?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -9. Suppose k - 9 = y + 1, 0 = -k - 5*y - i. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702476717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*b. Sort 4, -0.2, b in decreasing order.\nAnswer: 4, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/101 in 4, 5, 0.1, -13.48?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4962 - 4933. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*c - 50187 = -3*h - 103*c, -2*h + 33458 = -5*c. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 20*x + 20. What is the smallest value in 0.3, x, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.2 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -3*i + 15, 26 = 5*i - 4*f + 1. Suppose 4*h + l = -18, 8*h - i*h - 4*l = -23. Sort 0.3, h, 73 in descending order.\nAnswer: 73, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxjkxktkky. Give prob of picking 1 k, 1 j, 1 x, and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1027 and 15678?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7\/4. Which is the biggest value? (a) 0 (b) -3 (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228676831 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1048)\/(-655))\/(-2*4 + (-4776)\/(-600)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344 less than or equal to 9416\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21494845*d**2 + 16670546*d.\nAnswer: -42989690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mfmfnseoo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -17 - 19) + 43\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*l - 298946, 2*l - 2 = l. Suppose 2*i - 86210 - g = 0. Suppose -i = -5*w - 0*w. What is w rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, a: 2, x: 4, k: 2, y: 2, q: 3}. What is prob of sequence yh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413665 and 2968?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/6)\/h**(1\/15) assuming h is positive.\nAnswer: h**(23\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 1 - 3) + -3. Suppose 0 = 5*q + 4 + 6. What are the prime factors of (-206)\/z + q\/(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603bb (base 14) to base 6.\nAnswer: 4542333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -20. Suppose 2*r + k - 34 = 0, 2*k - 52 = r - 4*r. Calculate the greatest common factor of p and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -145*s + 6237. Determine x(43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 7 - 143. Let c = -70 + h. Calculate the greatest common factor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 0 = 3*k + 7, -15 = 15*t for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*h = -139, -l = 2*h - 6*h - 76. What is the remainder when 311 is divided by (75 - l)*13\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-310)\/434 + (1*2)\/2. Which is the second smallest value? (a) -0.2 (b) -0.3 (c) 0.3 (d) v (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -h + 3*h + 94, 0 = -h - 5*k - 38. Let n = h - -266\/5. Which is the third smallest value? (a) n (b) -13 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/749870 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -447, 106, -1 in decreasing order.\nAnswer: 106, -1, -68, -447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, p: 1, s: 1, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -4*w + 3. Calculate the greatest common factor of w and 93.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 - 14*v**3 + 16*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-146)\/14 - (-5 - (-512)\/112).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from ixxiixxiii?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -420956958 divided by 210478479?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 + -32. Solve 4*f + b = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -144, 2, 14, 0 in decreasing order.\nAnswer: 17, 14, 2, 0, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83549313 divided by 203283.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/3741 + 32428\/11223. Calculate the common denominator of y and ((-12)\/9)\/(1\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -73, 7, 0.26, -2\/3?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) + (-72)\/154.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 1. Let r be ((1*-12)\/z)\/(-1). Suppose -3*t - 349 = -x + 204, -r*x + 2212 = -t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z - 12. Let o be (-9)\/(-2)*(5 + z). Calculate the highest common divisor of 18 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 359, 347, 335, 329, 335, 359?\n\"Answer: u**3 - 6*u**2 - u + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160447 - 1449464\/9. Let c = u - -606. Find the common denominator of c and -25\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10513921 is divided by 117?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 7*d**4 - 18621*d**3\/4 + 379335*d**2\/4 - 6097*d\/2 - 6762 = 0.\nAnswer: -1\/4, 2\/7, 21, 644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -398886 - -2008?\nAnswer: -396878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -20530\nAnswer: 3\/20530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42367 divided by 4.\nAnswer: 42367\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4124, -8238, -12352?\n\"Answer: -4114*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474638 is divided by 147443?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((5*sqrt(1458))**2 - sqrt(18)) + 3.\nAnswer: -3*sqrt(2) + 36450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 21 + 29*n**2 + 2*n**3.\nAnswer: 2*n**3 + 29*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 619*v - 613*v = 36. Let z(x) = -x - 11. Let f be z(-11). What is the smallest value in 3, v, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-153)\/((-255)\/(-15))*((-7)\/(-4))\/(3\/12)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*n - 638, n + 0*n = o + 130. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4503)\/(-38))\/(-79)*21\/(-9)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -13983*a. Let i(l) = 76*l. Calculate 553*i(v) + 3*r(v).\nAnswer: 79*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5415, -22346, -50559, -90048, -140807, -202830, -276111?\n\"Answer: t**3 - 5647*t**2 + 3*t + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -19*p**3 + 83*p**2 - 93*p - 26. Determine m(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 2:40 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/(1674\/81))\/((-1)\/(-35)).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 17*m + 5*q = -5, -m - q = -5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (252\/35)\/(1316\/(-4935))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56787116 divided by 14196779.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3394889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1014, 1691, 2812, 4377?\nAnswer: 6386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 147, 232, 377, 600, 919?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1232937, 2465878, 3698819, 4931760, 6164701?\n\"Answer: 1232941*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 12*m + 5*m + 3*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -107, -6, -2.\nAnswer: -107, -6, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/17255858 and 39\/1973.\nAnswer: 17255858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/7 (b) -0.06 (c) 249 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2415 - 2459.69. Let z = d - 4.11. Round z to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 203?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 617, 618, 621, 626?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -2 - -19 - 35?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 677 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3220 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6*(-115749)\/(-225). Let a = k - 343. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*i + 3 + 27, -4*i = -20. Let z be c + 7 + -1 + -2. Solve 3*b + 4*o - 2*o - 4 = 0, z*o + 4 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(0 + 4\/10). Suppose c*j = -4*z - 0 + 36, 3*j + 2*z - 20 = 0. Solve -4 + 4 - r**j + r**2 = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3*x**2 - 9*i**3*x - i**2*x + 4*i*x**2 - 4*x**3 wrt x?\nAnswer: 6*i**3 + 8*i - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)*m**(-2\/21)*m*m)**9*(m*m**(1\/2))**(-23\/4)\/(m**(-2))**(2\/137) assuming m is positive.\nAnswer: m**(-417763\/7672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**2 + 33*f - 139. Give t(7).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - i + 134 = 4*i, 479 = -4*p + i. Let d be 1*-34*(-84)\/(-24). Let r = p - d. Solve r*s + 25 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -13, -41, -101, -205, -365, -593?\n\"Answer: -2*w**3 + 2*w**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6697 and 703.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16, 2\/9, -0.11, 0.4, 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-3*5\/3. Let o(k) = 6*k + 9*k - 14*k. Let s be o(a). Let m(n) = -n**3 - 6*n**2 - 8*n - 7. Give m(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 5. Let z(h) = -h - 4. Let w(n) = -2*t(n) + 3*z(n). Let o be w(6). Let s(m) = 4*m**2 + m - 2*m**3 + m**3 + m. Calculate s(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 481 = -30*c + 4891. Let o be (-1 + -1)*-1*79. Suppose c = k - 3*y - 3, -k + o = y. Does 26 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 7*y**2 + 373*y + 112. What is k(-19)?\nAnswer: -4448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -19 + 25 + -3*1. Suppose -4*i - 2*l + 5 = 1, 3*l = -6. Suppose 4*s + i*r - 3*r = -4, s + 8 = 2*r. Solve -z + h*z = s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 8*m + 35. Let o be g(11). Put 4\/5, o, 1\/2 in descending order.\nAnswer: o, 4\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 36*k + 2. Is c(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 12. What is the second biggest value in 1, 2, f, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 678925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -160, -2\/3, 0.1, -1\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) -169 (c) 0.7 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -459 or 1?\nAnswer: -459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0274004 rounded to 3 decimal places?\nAnswer: -9.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgxtmsl. What is prob of picking 1 l and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (34 + (-40 - 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-16)*(-6)\/15*295\/((-150745)\/(-5256))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u - 13. Let v(t) = 6*t + 15*t - 18*t - 2*t. Calculate f(o) + 5*v(o).\nAnswer: o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.92 milligrams in nanograms?\nAnswer: 207920000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*f - 15. Is (f\/1 + 47)*1 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2 - 5*n + 2 - 4. Suppose -5 - 10 = 5*y. Calculate r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(117) + 0).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2655 - 1185 + s**2 + 3848.\nAnswer: s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o\/(o**(-6\/13)*o)))**(-3\/31)\/((o**(2\/5)\/o*o*o)\/((o*o**(-24))\/o)) assuming o is positive.\nAnswer: o**(-51286\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1 - -248) + -1)*-1. Let z = 3677\/15 + l. Let f = -949\/30 + z. What is the common denominator of 50\/7 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 4 - 7*i - 2*i. Let j be w(-4). Suppose -20 = 3*x - 2*y - 75, x = y + j. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/658 and 41\/4.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -587 - -407. Let x = o + 85.5. What is x rounded to zero dps?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 = -3*y. Suppose 3 = -d - 2*m, m = 5*d - m - 21. Let c be 30\/9*d\/2. What is the greatest common factor of y and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266646.\nAnswer: 2, 3, 19, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 82960 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: Calculate the highest common divisor of 3276 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 3*l + 2*l**2)*(4*l - 2*l + 2*l)*(-2*l**2 - 3*l**2 + 4*l**2).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 17321.77545 to the nearest one hundred.\nAnswer: 17300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 11 = -4*s. Suppose -3*n - 2*n = -20. Suppose -4 = -7*m + 10. Solve -l = -3*l - p - s, -2*p - n = -m*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6ee (base 16) in base 4?\nAnswer: 123232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.64 to zero decimal places.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g - 35 = 0. Calculate the remainder when 19\/(-38)*3916\/(-22) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*z - 89, 18 = 3*z + 3*v - 21. Suppose z = 5*l - 13. Let u be l\/(-10) - (-2)\/10. Which is the second smallest value? (a) -2\/9 (b) u (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10*z**2 - 2. Let m be y(1). Suppose 2*d + m - 12 = 0. What is the derivative of 5*b**2 + 28 - 29 - b**d + 12*b**2 wrt b?\nAnswer: 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112330152 (base 6) in base 14?\nAnswer: -3c2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 530854669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45073 + 44606. Which is greater: l or -479?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**(-5\/9))\/j))\/(j**(-3\/16)\/j*j)*(j**(3\/7))**1)**21 assuming j is positive.\nAnswer: j**(1069\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {n: 2, r: 7, w: 2, h: 7, k: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/8)*o\/(o**14\/o))**(1\/12) assuming o is positive.\nAnswer: o**(-95\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13*(b*b**(-27))\/b*b**15\/b**(-17))**(-26) assuming b is positive.\nAnswer: b**(-468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 = 2*o - 6127, -4*o - 5*j + 12260 = 0. Calculate the common denominator of -23\/8 and 25\/2*(-288)\/o.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 - m + 21. Let l be d(9). Calculate the common denominator of ((-141)\/l)\/(18\/(-9)) and ((-71)\/(-5))\/((-4)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**3 + 23584*r**2 - 610960*r + 2817600 = 0?\nAnswer: 6, 20, 5870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69016 - 69012. Let v = -1.9 + 2. Put -6, v, f in increasing order.\nAnswer: -6, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 3. Suppose -3*k + 5 = -4*f + 3, -2 = 2*f - k. Let c be -3 + (-1)\/2*f. Let b be j(c). Solve -4*o + 7 = -6*o - 5*v, 2*v = o - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-176)*4\/(-48)*-4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4952 > -4956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 9*q - 4*q)*(2 - 2 + q) + 0*q**2 + q**2 + q**2.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3600730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1040, -2, -4, -5, 1 in descending order.\nAnswer: 1, -2, -4, -5, -1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + -2 + 21\/(-6). Suppose -3\/2*o + w*o**2 + 3\/2*o**3 + 1\/2*o**4 - 1 = 0. What is o?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690872450.\nAnswer: 2, 5, 193, 71593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 105040064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9 - 2)*5\/(-5) - -18. Calculate the greatest common factor of 1903 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, j: 13}. What is prob of sequence ppj?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 32130202?\nAnswer: -32130132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -9*h**2 + 492 - 492. Let n(b) = -49*b**2 + 6*b - 18. Let f(v) = 93*v**2 - 11*v + 33. Let q(d) = -6*f(d) - 11*n(d). What is q(j(s))?\nAnswer: -1539*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2529 and 69\/1124?\nAnswer: 10116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48975220.\nAnswer: 2, 5, 7, 353, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -31. Suppose a*b = 5*b + 12. Let d be 1 - (-1 + b + -2). Which is smaller: d or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3689742072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36778623 and 399.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 + 18*v + 8. Determine f(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -17*m. Let l(g) be the first derivative of 5*g**2\/2 + 39. Give l(z(x)).\nAnswer: -85*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 123305 (base 6) in base 9?\nAnswer: 16235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 8, -2, 13, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/3)\/((-1)\/9). Suppose -q + 8 = d*q. Factor 0*f**q - 6\/5*f + 2\/5*f**3 + 4\/5.\nAnswer: 2*(f - 1)**2*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17812 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 - -255. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 19, 36969, 2, -1, 5 in increasing order.\nAnswer: -4, -2, -1, 2, 5, 19, 36969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 5*w + 4. Let m be n(5). Solve -m*g + 5 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.13 - -3.1161. Let r = 0.2861 - l. What is the second smallest value in -2, r, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*q. Suppose -5*l = -4*h - 28, -q*h + 3*l - 2 = 18. Let v be (6 + -4)\/(h\/(-1)). What is the smallest value in -0.4, 2, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2596 and 3652?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144 - -147. Suppose -t = p - 195, a*t + 951 = 11*p - 6*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: Factor -2\/21*r**3 - 4\/7*r**2 - 22\/21*r - 4\/7.\nAnswer: -2*(r + 1)*(r + 2)*(r + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*c**3 + 3*c - 3*c + (-37*c + 74*c + 28*c)*(-3*c**2 - 2*c**2 + 4*c**2) to the form z*c + v*c**2 + u + r*c**3 and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24524 - 3.8044?\nAnswer: -24527.8044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 5*i**2 + 6*i + 1. Let d be j(-4). Let o = 3 - d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/127? (a) 5 (b) 0.1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034 + 260.4265.\nAnswer: 260.3925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-7))\/(4\/(-14)). Factor -2*y**4 + 2*y - 2*y**3 - y**p - 2*y**2 + 5*y**2.\nAnswer: -2*y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21433*a = -21502*a - 2070 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/84 and -58\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/33)\/(2\/3). Let x = 1\/44 - r. What is the nearest to 3 in x, 3\/5, 0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {p: 2, k: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -390 - -494. Let n(c) = -230*c**3 + 2*c**2 + 2*c + 1. Let k be n(-1). Suppose 107*x - g*x = k. Calculate the highest common factor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -395\/204 + 227\/17. Calculate the common denominator of (-21)\/(-14)*(-77)\/(-27) and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-33)*(-3)\/(-4))\/(42\/252)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -82. Let s = n - -74. Suppose s = -0*v + 2*v - 152. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1473599 is divided by 70169?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -14 - (34 + -25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23380 and 9240.\nAnswer: 1543080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*3 - sqrt(102))*-6)\/(sqrt(486)\/sqrt(9)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 162*n**2 + 1 + 182*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/660 and 151\/990?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*w - 455 = 0, -455 = 3*q - 8*q + w. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -2 - 4)*-1. Suppose 20 = -5*v - w*x, 3*v = -2*x - 8 + 1. What is the lowest common multiple of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.307 (c) -2\/9 (d) -4 (e) 3 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0343 and 28.\nAnswer: 0.9604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 29*n**2 - 60*n + 64. Let q(b) = 83*b - 944. Let w be q(11). What is a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -729*t**4 - 18237*t**3 - 122772*t**2 - 106992*t - 1728 = 0.\nAnswer: -12, -1, -4\/243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -323, -484, -645?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = a + 804, p - 411 + 9 = 5*a. Suppose 5172 = 5*y + p. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 3 + 5)*(10 - 1 + 1)*(399 - 399 + 95*z) to the form j + c*z and give c.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(-4*t**2 + 0*t**2 + 3*t**2) + (3*t - 2*t + 0*t)*(-5*t - t + 4*t) + (-39*t - 10*t**2 + 39*t)*(4 + 0 - 1).\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4364*u**4 + 11706*u**3 + 403215*u + 12.\nAnswer: 52368*u**2 + 70236*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/(6\/(-27)). What is the third derivative of -q**6 - 2*q**6 - 3*q**2 + q**6 + 0*q**d wrt q?\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/(-125))\/(4\/5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1970661 - -3950661. Round h to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 1 - 13. Suppose 6 = x*w - 0*w. Let z(y) = y**2 - 2*y + 3. Is z(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 17236 - 8619 + 2*m**2 - 8618. Let a = 0 + -1. Calculate o(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22223 (base 5) to base 12.\nAnswer: aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 10, -94, -5.\nAnswer: -94, -5, -4, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a**2 + 4*a + 4. Let b(u) = -16*u - 68. Let r be b(-4). Let z(i) = -20*i**2 + 9*i + 9. Calculate r*z(t) + 9*s(t).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 3*j**2 - 2*j - 3. Suppose 4*w + 4*c = 4, -6 = c + 2*c. What is the units digit of p(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 141 = 169. Which is the closest to -1\/3? (a) 3 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -168 (c) -0.3616\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11162 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 8.614566\nAnswer: 34.458264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19, -30, -41, -52?\n\"Answer: -11*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 divided by -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*f - 333 + 339, 5*f = 3*i - 4. Let l(d) = -d**2 + 12*d + 21. Determine l(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2314492?\nAnswer: 2, 227, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 3*l - 24. Calculate the smallest common multiple of 4 and q(6).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 421.99643 + -422. Round h to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.21 (b) -0.66 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -132*h. Let k(z) be the third derivative of z**5\/60 + 3*z**2 + 20*z. Calculate s(k(x)).\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2553 + 2553.5. What is the fourth smallest value in t, 2\/3, 823, -3?\nAnswer: 823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 2, i: 1, f: 3}. Give prob of picking 1 b and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/230 and 11\/184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -108 and -2.41243.\nAnswer: 260.54244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 417, 2194, 5137, 9228, 14449, 20782, 28209?\n\"Answer: -3*a**3 + 601*a**2 - 5*a - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 - 3*n**3 - 6*n**3 - 3*n**3.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6 = -0. Let z(n) = 7*n + 276. Let s be z(-39). Suppose 9 = 3*a, 5*b - 3*a = -0*b + 21. Solve -s*v - p = b for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4080\/3060*((-10)\/4 - -1). Let p = 0.05 - 0.45. Which is the smallest value? (a) 2 (b) p (c) q (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 605\/726 - (-1)\/(-1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -273 - -7?\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -303\/5, 0.0389, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46661?\nAnswer: 29, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9329 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.27637, -0.038, 2\/11 in descending order.\nAnswer: 0.27637, 2\/11, -0.038, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 0 (b) 2\/9 (c) -37 (d) -1.3 (e) 3 (f) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 712847*o**2 + 297*o - 513087041?\nAnswer: 1425694*o + 297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - y = -0 - 8, 0 = 5*s - 5*y - 40. Let f be (-377)\/(-5) - s\/10. Suppose 0 = -d - 2*d + f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8*r)\/r)**(3\/8)\/((r**26\/r)\/(r**(22\/3)\/r)) assuming r is positive.\nAnswer: r**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9185 - 1.6815. What is the closest to 7.4 in r, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 6*r + 9. Let i be a(7). Suppose -6 = -4*z + i*z. Calculate the remainder when 7 is divided by 52\/10 + z\/(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -32?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18370966 a multiple of 3496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*i = -0*i - 112, 4*t + 4*i = 108. Let g = 88 + -100. Let l(a) = 3*a**2 + 34*a - 8. Calculate the remainder when t is divided by l(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 171, 249, 325, 399, 471, 541?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = -3530 + 3570. Let q(p) be the first derivative of -p**2 - 12\/5*p**t + 0*p**4 - 15 + 0*p + 0*p**3. Find the second derivative of q(n) wrt n.\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 50*q**2 - q. Is j(3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - 4*b**3 - b**3)*(1 + 1 - 1)*(-1 + 2 + 1).\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 18490?\nAnswer: 18492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/((x**(-3\/7)\/x)\/x))*x\/(x**(-1)*x))\/(x\/x**9*x**(1\/3)) assuming x is positive.\nAnswer: x**(131\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-204)*11\/(-44)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*u**4 + u**3 + 399*u.\nAnswer: -360*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**3 - 56*s**2 - 82*s - 663. Give l(-18).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3 + 25900*k**2 - 88767744*k + 31352988096 = 0.\nAnswer: 398, 6276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/5? (a) 3 (b) 2\/11 (c) -2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/20 + 11\/2. Factor 20*g**2 - 16*g**3 - 76*g**4 + 0*g**2 - 8*g + 80*g**a.\nAnswer: 4*g*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 divided by -2\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.46681 + -0.01969. What is n rounded to three dps?\nAnswer: -0.487","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 4\/213985 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 2*a**2 - 5*a**2 - 7*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = o, -3*o + 20 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.00014 + 100. What is h rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qyyq when four letters picked without replacement from {f: 3, q: 5, y: 9, m: 2}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -942698, -3770819, -8484352, -15083297?\nAnswer: -23567654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 34*p + 141. What are the prime factors of t(4)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m = 49*m - 18. Solve 9*p = m*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368210 is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = 12. Suppose -3*w = 5*t - 2*w - 52, -2 = -t + s*w. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 81*a**2 - 33*a - 33. Let l(k) = -5*k**2 + 2*k + 2. Let n(t) = -2*d(t) - 33*l(t). Let w(s) = 0*s - 2*s + 0*s. What is w(n(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*n = -3*n + 4, -n - 4 = -q. What is the third smallest value in 4\/7, -4\/5, 4, q, 294?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2*w**2)*(-83 + 83 - 15*w) as g*w + t*w**3 + i + a*w**2 and give t.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -47*t**2 + 6*t - 51. Let m be f(-9). What is the units digit of -5*4\/(-12)*m\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1642\/7 + 234. Let j = -110 - -116.3. Let b = j - 1.3. Sort t, b, -1\/10 in descending order.\nAnswer: b, -1\/10, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5548959 rounded to three dps?\nAnswer: 0.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 304163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2. Let q(i) be the first derivative of -i**2 + 38*i - 91. Give q(t(b)).\nAnswer: 4*b**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 40724277 and -2.096.\nAnswer: 40724274.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2902.995382 + 2903. What is f rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.0785837 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1231 - p**2 + 1231 - p**2. Let v(o) = 0 + 0 + 4*o + 13*o**2 + 2*o**2. What is y(v(f))?\nAnswer: -450*f**4 - 240*f**3 - 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuhubveuenh. Give prob of picking 1 b and 1 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5622 a factor of 404942605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/((-10)\/25 + 0).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 - 49*r**2 - 2*r - 376. Let g(d) = -8*d**3 + 102*d**2 + 5*d + 752. Let b(a) = 2*g(a) + 5*p(a). Differentiate b(t) with respect to t.\nAnswer: 12*t**2 - 82*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6764 (base 8) in base 2?\nAnswer: 110111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 + 0*y**4 + 8*y**4 + (0*y**3 + 34*y**3 + 0*y**3)*(-3*y + 2*y - 2*y).\nAnswer: -96*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 37 = c. Let i be (9 - 2 - c)\/(-2). Solve i = -3*u - 2 - 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149451 is divided by 138?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((2*sqrt(720))**2 + sqrt(720)) + sqrt(720) + (-3 + 3*sqrt(720))**2 + -4.\nAnswer: -7915 - 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 364240 (base 11) in base 9?\nAnswer: 1067856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven tenths of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3.43?\nAnswer: 3.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 252067573783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022201 + -211?\nAnswer: -10100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t*t**33))\/t**(2\/61))\/((t\/(t\/(t**(-22)*t*t)*t))\/(t*t\/(t\/(t*t**17)))) assuming t is positive.\nAnswer: t**(303\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6 - c**2 + 8 + c + 10*c. Let a be o(11). Is a\/12 - 6890\/(-60) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 401 + 404 + 846*h + 171*h - 805 in the form b + g*h and give g.\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*l - 49*l**3 + 10*l**2 - 150*l + 34717 - 34716 wrt l?\nAnswer: -294*l + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 47862?\nAnswer: 19144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.944. What is the biggest value in d, -10, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((34485\/(-152))\/55)\/(6\/(-8))?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 8*v. Let q be y(6). Let a(d) = d**3 - 12*d**2 + d - 10. Let b be a(q). Solve -4*o - b = 2*g + 6, -3*o = g + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 3*r**2 + 0*r - 23 + 1\/2*r**4 - 2\/3*r**3. Let n(a) = -4*a**3 + 5*a**2 - 13*a. Calculate 13*d(f) + 6*n(f).\nAnswer: 2*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21490 is divided by 177?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {j: 1, b: 4, q: 2, t: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10974881*a**3 + 21949764*a**3 - 10974884*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(405) - sqrt(15)\/(sqrt(3) - (sqrt(3) - sqrt(363))).\nAnswer: -5 + 98*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = z - 371 + 47 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, 93, 413, 1089, 2253?\n\"Answer: 22*c**3 - 20*c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 - 8773*j**3 + 97609929*j**2\/2 - 90556660600*j + 53273906420000 = 0. Calculate j.\nAnswer: 1400, 7373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4536 in descending order.\nAnswer: 4536, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23821 is divided by 10808?\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -4470\/17 and -264 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15295 * 226.5.\nAnswer: -3464317.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 37864*x\/5 + 179210312\/5.\nAnswer: 2*(x - 9466)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1646 - -3194. Is k a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 15. Suppose 3*z + 60 = -4*w + 6*z, -4*z - 16 = 0. Let l be (42\/w)\/n - 91\/(-3). What is the greatest common divisor of l and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 121101?\nAnswer: 121111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -287.30952 to 1 decimal place.\nAnswer: -287.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**6\/10 - 3*d**5\/10 + d**4\/4 - 4*d - 2. Let g(p) be the first derivative of r(p). Find o such that g(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -38*c**2. Let s(l) = -45*l**2 - 55*l + 55. Let o(w) = 5*w**2 + 6*w - 6. Let m(q) = -55*o(q) - 6*s(q). Calculate k(m(h)).\nAnswer: -950*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 - 6 + 4*a**2 - 7*a - 8*a**2. Let c be n(-6). Differentiate c*t + 4 + 0*t - t wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45\/2 of a minute?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 + 7*n - 4. Let g be j(-6). What is the highest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + (-27)\/(-21). Suppose -4*o + 3*v + 2 = -6, v + 16 = 4*o. Suppose -3*q = -a - o. Solve 0 = 5*j - q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g + 1293 - 9093 = 2*g. Which is smaller: g or -207?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 31, 37, 41?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4314626 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9029 or -3286063\/364?\nAnswer: -9029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let j(q) = -157*q. Give j(n(b)).\nAnswer: 157*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7942 + -2647087?\nAnswer: -2655029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.7 - -28.69791. Round p to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2749, 2697, 2645, 2593?\nAnswer: 2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 2:35 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/13)\/p)**44\/(p**(-15)*p*p**11) assuming p is positive.\nAnswer: p**(127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 752 = 409 + 669 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (14 + 1 + -1 + -9 - -94) + -7?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (427\/366)\/((-2)\/(-1356)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*d - 4*l, d + 0*l + 10 = -5*l. Let h = d - -68. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2145 rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 704\/(-54560)*(-2 + -3)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 125, 250, 415, 614, 841?\nAnswer: 1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*m - 43*m. Put -24, 2, m in decreasing order.\nAnswer: 2, m, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5507 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.14 (b) 0.2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5009, 6, -4 in decreasing order.\nAnswer: 5009, 6, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 310, 175, 16, -173, -398?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122, 242, 362, 482, 602, 722?\n\"Answer: 120*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 151*c + 22801\/2.\nAnswer: (c - 151)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8\/7, -22568 in increasing order.\nAnswer: -22568, -8\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-375 - -357)*1\/(-63)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 5*b - v, 27 = 5*b + 3*v. Suppose -j + 6 = 2. Let w(k) = -2*k**2 + 6*k**2 - j*k - 3*k**2. What is w(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2038334?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-221)\/117*3)\/((-728)\/(-624)).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 11, 8, 0.\nAnswer: 0, 8, 11, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14733*w**4 + 243*w + 3?\nAnswer: -176796*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 + 2. Let v be l(0). List the prime factors of 17\/1 - (2 - v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13550*d**3 + 8*d**2 + 793*d wrt d.\nAnswer: -81300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4397 (base 12) to base 15.\nAnswer: -2324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -27. Suppose u*m - 31 = n - 99, -4*n + 308 = -4*m. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54\/228505 or 0?\nAnswer: 54\/228505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18270 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**2 - 14*n - 56. Let j be u(-8). Is 14 a factor of (-344)\/j + 8\/36 - -835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340466570.\nAnswer: 2, 5, 487, 69911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102 - 11022122021?\nAnswer: -11022200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Let i(h) = h + 2. Suppose 5*g - 215 = 5*s, 0 = g - 10*s + 11*s - 37. Suppose 23*n = g*n + 34. Calculate n*q(j) + i(j).\nAnswer: 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 336181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 4, 1, 9 in decreasing order.\nAnswer: 9, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/10, 3, -3\/7?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.316939 millilitres to litres.\nAnswer: 0.000316939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 47*w - 11*w - 13*w - 12*w - 10*w. Let v(i) = 2*i + 11. Let p be v(-4). Let h(k) = k - 6*k + 14*k - p*k - 5. Determine s(h(f)).\nAnswer: 6*f - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 18*z + 18. Let h be q(18). Let r(b) = -b**3 + 17*b**2 + 16*b + 39. Calculate the lowest common multiple of r(h) and ((-6)\/2)\/((-3)\/10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49297381.\nAnswer: 7, 19, 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6 - 16 + 6)*(-a - 3 + 3) - 2*a + 5*a + 0*a - 4*a + 4*a - 2*a)*(3 - 9 + 5) + 0 + 2*a + 0 in the form q + u*a and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 9. Calculate s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, -0.3, 0.4, 1\/10, 0.008, -0.0522?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30518734 less than 0.3?\nAnswer: -30518733.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.76 times 0.8115?\nAnswer: 43.62624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 7 - 9. Let q be 5\/(-20) - (-2)\/z. Suppose -3*n - 4*i + 167 = -q*n, 61 = n - 4*i. Does 20 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/12 - 49*u**2 - u. Let c = 0 + 1. Suppose -d = -k - 2, -5*k - 5 = -4*d + c. What is p(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25c33b (base 15) to base 8.\nAnswer: 6725162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -5)\/(2\/2). What is the tens digit of ((-12)\/(-15))\/(m\/(-105))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -29982 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 3*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)*j)\/j**1)\/(j**(4\/3)\/(j\/(j*j\/(j\/(j*j\/j**8))))) assuming j is positive.\nAnswer: j**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 4 + (35 - (8 - -24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -64825, -63677, -62541, -61417, -60305, -59205, -58117?\n\"Answer: -6*f**2 + 1166*f - 65985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/14)\/((-3)\/(-6) + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/5 - 18*s**3\/5 + 20782*s**2\/5 - 20718*s\/5 - 41516\/5 = 0.\nAnswer: -107, -1, 2, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4*(-142)\/10 and -67\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:38 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + z**2 - 24. Suppose 3*r - 5 = -4*i, -2 = -4*r + 8*i - 11*i. Let v be 0*r\/(-6 - (-4 - 1)). Calculate x(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 7*n + 3. Let i be l(7). Let k = i - -1. Suppose -k*p + 7*g - 2*g = -999, 4*g - 506 = -2*p. Is p 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 312533890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 796 (base 12) to base 13.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:20 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*n + 6 = 149*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/5 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f - 17. Let h(j) = -3*j - 11. Let x(n) = -8*h(n) + 5*z(n). Let r be x(0). Suppose 4*t + 2 = -2. Sort 0, r, t in descending order.\nAnswer: r, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i - 3*x - 9, -2*i - 4*x - 10 = 0. Suppose 2*f = i*d - d - 2, f = -d + 5. Suppose -4*a - d = -7. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(((sqrt(704) - (sqrt(704) + 0 - sqrt(704))**2) + 5 - sqrt(704)) + -1 - 1*(-1 + sqrt(704))*4).\nAnswer: -120 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*r - 6 = -0*a, 0 = -3*a + 3*r - 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 333.99958 - 334. Round g to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1091*l - 30*l - 239*l.\nAnswer: 822*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4714 + 0.455. Let x = 6.8164 + c. Is -0.1 at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 0.05 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 422 - 421.9772. Let p = g - 0.4228. Let w be ((2\/4)\/(-1))\/(-1). What is the closest to 2\/7 in -5, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 204\/15*(-4 - 26943\/(-8766)). Let s = d + -1\/1461. Calculate the common denominator of -5\/16 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 23620644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 205, 307, 409?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 - 14*v - 67. Is a(21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2736172.8 microseconds to hours.\nAnswer: 0.000760048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 7*h**2 - 10*h - 7. Let b be l(-8). Let y(m) = -m**3 + 10*m**2 - 5*m - 12. Let a be y(b). Solve -4*c - 3*o = -o + a, 5*c + 17 = 4*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8229673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*g = -143762620 - 50587042 + 32907302. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -316 and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b - 1. Let h be s(1). Suppose -11*f + 229 - 53 = 0. Suppose 13*p = f*p - 264. What is the highest common factor of h and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539663931.\nAnswer: 3, 79, 113, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 8 = -2*q - 2*q, -3*q = -4*j - 6. Suppose 7 = -x + q. Sort 3, 0, x in increasing order.\nAnswer: x, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/19 + 21\/38. Suppose 0*w - 2*w = -6. What is the second biggest value in w, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2 - 13 + 0*n**2 - n + 2*n + 12*n. Let f be -10*(10 - 477\/45). Let g(h) = h**2 + 2*h - 2. What is f*d(z) - 39*g(z)?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 6 = 0, 3*o + i - 42 = -o. Let x = -12 + o. Let p be 1\/(0 - -1) + x. Let l(c) = -c + 12. Give l(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281400 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (2 - (8 - -12 - 9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2. Let b be 21\/28 + (-3 - 9\/(-4)). Let d(n) be the third derivative of -7*n**2 + 0 + 0*n**3 + 1\/30*n**5 + 0*n + b*n**4. Give y(d(h)).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-63)\/28)\/(10\/4)*759\/(-621). Solve t*c + 1\/10*c**2 + 9\/5 = 0 for c.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1545 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1827 - 6167 = -90*t - 200*t + 13930 for t.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 100501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1503953, 1503918, 1503871, 1503812, 1503741, 1503658, 1503563?\nAnswer: 1503456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -67. Let y(j) = 14*j**2 - j + 5. Let t be y(r). Suppose -5*w + t + 82 = 5*s, 4*w - 237 = s. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(200) - (sqrt(200) + sqrt(200) + 0)))**2 + sqrt(8)\/(sqrt(44)\/(sqrt(22)\/sqrt(2)) + sqrt(4)) + 2.\nAnswer: sqrt(2)\/2 + 16002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) - (sqrt(147) + sqrt(147)*2))\/sqrt(7))\/sqrt(7).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 11*f\/4 + 3.\nAnswer: -(f - 12)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1061 + -4764.7\nAnswer: -5825.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 8:49 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1246 + 3081. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54604 and 5338.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {h: 11, k: 1, t: 6}.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-136)\/(-20))\/(9\/(-2340)*-13). Which is smaller: 122 or b?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19730070?\nAnswer: 2, 3, 5, 219223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/((s\/(s*s**1))\/s)))**(-36)*s**(-3)\/s*s**(-2\/3))\/((s\/(s*s\/s**(2\/7))*s\/(s*s*s**(-2\/5)*s))\/((s**(-1\/2)*s)\/(s*s**0))) assuming s is positive.\nAnswer: s**(6961\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/2476152 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5731 - -7.5731. Let w be 4\/50*5*-2. What is the biggest value in -1, 1, w, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3842644 and 446.8.\nAnswer: -3842197.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/51 and -5783 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125 and 0.4.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3 - 31540*a**2 - 377948*a - 346412.\nAnswer: -4*(a + 1)*(a + 11)*(a + 7873)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}