diff --git "a/data/dm_maths/full_data_1/1155_11255.jsonl" "b/data/dm_maths/full_data_1/1155_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1155_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 7*q + 300*q**3 + 159*q**3 - 273*q**3.\nAnswer: 186*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2 (b) -0.4 (c) 0.1 (d) 5 (e) 0.113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 656167741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25676 + 4*(-5 + 1).\nAnswer: 2, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 12) to base 3.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-720)\/486)\/(-20) + (-2856)\/(-810)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*o**2 - 69132*j**3*o*u**3 - 31*j**3*o*u + 2*j**2*o**2*u**2 - j*o**2*u**3 + 2*j*o*u**2 wrt u?\nAnswer: -414792*j**3*o - 6*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 273*a + 405*a + 0 + 508*a - 1 + 420*a to the form u*a + p and give u.\nAnswer: 1606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8946?\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 61337591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/130 and 23\/167453.\nAnswer: 1674530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + 20. Suppose -2*x + 40 = -l - 0*x, -2*l = x + d. Let f = l - -135\/4. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 9. Let i be y(-7). Let x(l) = 4*l**3 - 4*l**2 + 3*l. What is the tens digit of x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 407678, 407677, 407676, 407675, 407674, 407673?\n\"Answer: -v + 407679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let n = r - -2. Is 11 - n*(0 + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9807, 1, 6.\nAnswer: 1, 5, 6, 9807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 44*v + 193. Determine s(-39).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*a**2 + 608*a**2 - 1262*a**2.\nAnswer: -22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -440, -419, -378, -311, -212, -75, 106?\n\"Answer: o**3 + 4*o**2 + 2*o - 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 12. Suppose 54 = 4*i - o*i - 5*d, 4*i + 4*d - 120 = 0. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 - 10561*o\/2 + 79170.\nAnswer: (o - 31668)*(o - 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 19. Let h be r(0). Let p(s) = -s + 20. Suppose -2*n = -3*n + 5. What is the least common multiple of n and p(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(1298\/(-36344)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.276ng to kilograms.\nAnswer: 0.000000000010276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3284 is divided by 393.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 223.4 + -223.38007. Let l = 0.32 - 0.3. Let n = l - c. What is n rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*c - 16 = 0, -3 + 19 = 3*m + c. Let g = 1 - -6. Suppose -3*d = -i - g - 0, -3*i = 4*d - 31. Solve 0 = -m*n - d - 12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (18 - 18 - 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*c + 12*c - 274 - 271 + 545 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:59 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28699 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 + -147.937. Let w = -0.163 + c. Round w to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a + 11 - 11)*(1 - 1 - 1).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3013*s = -3000*s - 663 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 7 + (-7 - -11) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 1 - (-73 + 34). Suppose -21*w = -22*w + p. Find the common denominator of 43\/16 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 60487*h + 63669*h + 0 + 2 in the form s + n*h and give n.\nAnswer: 3182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/7 + 172*x\/7 - 7396\/7 = 0. Calculate x.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-34)*b)\/b*b*b**(4\/9)*b assuming b is positive.\nAnswer: b**(-284\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**1\/k*k))**(-1\/18)\/(k**2)**15 assuming k is positive.\nAnswer: k**(-541\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 10:39 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 120 + 120. Let f(d) = 2*d**2. Let v(n) = -f(n) + 3*u(n). Let k(p) = -6*p**3 - 1. Let a(o) = k(o) + 2*v(o). What is a(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -4 - (-3 - -6). Let m be 1*561 - (3 + 0 + p). Factor 3*v**4 + 2 - v**3 - 3*v**2 - 2*v**4 - m*v + 562*v.\nAnswer: (v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 15 + -2 - (16 - 10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -23, 2 in increasing order.\nAnswer: -23, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 5. Suppose -2*d - 2*d + w = 0. Suppose s = -d*s + 70. Solve 2*p + 4*r = -13 - 1, -3*p = -r - s for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -38245654?\nAnswer: 38245667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, f: 10}. What is prob of picking 2 k?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 + 0 + 0 + (27 + 102*t - 27)*(-2*t - 1 + 1))*(-15 + 24 - 6)*(-3*t + 4*t - 2*t) in the form v*t**3 + k + q*t**2 + n*t and give v.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -611776, -2447029, -5505774, -9788005, -15293716, -22022901?\nAnswer: -29975554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7607.805l in millilitres?\nAnswer: 7607805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11381564 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: What is -0.409 + 3314.463?\nAnswer: 3314.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12*m = -5*z + 117, -5*z = -2*m - 181. Solve z*b + 135 = -30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 3*n + 126, v + n + 28 = 38 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1940*c - 1022*c + 52090 = -78238 for c.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 6 = -3*v. Let c be 2\/(v*9\/2). What is the second biggest value in c, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**(-2\/3))*y))\/y**(-7))**(2\/25) assuming y is positive.\nAnswer: y**(46\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3077, -6139, -9201, -12263?\nAnswer: -15325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137 + 139. Let p = 0.04 - 4.04. What is the biggest value in 0.05, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 - 3*u**2 - 3*u**2 + 0*u**2 - 3*u**2 + 4*u**2 + (u + 3*u - 2*u)*(-u + 4*u - u))*(4*u - 12*u - 16*u).\nAnswer: -168*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*(-8)\/(-10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -77585, -80831, -84075, -87317?\n\"Answer: m**2 - 3249*m - 74337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1671750, 1671760, 1671772, 1671786?\n\"Answer: u**2 + 7*u + 1671742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.68 - -2.56. Let p = v + -0.84. Sort 1\/3, p, -2.\nAnswer: -2, p, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15960.9 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**2 + 2459*q + 2458 = 0.\nAnswer: -2458, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15609*a**3 - 32401*a**2 wrt a?\nAnswer: 93654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85012197 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5432 + -5168. What is the remainder when x is divided by 112?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 2 - 19*a + 21*a)*(0 - 2*a + 0).\nAnswer: -4*a**2 + 120*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 163840 and 301568?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -4, 2*z - 80 = -3*x. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(8 - 9)*2\/(2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 - 4*h + 4. Let b(n) = 4*n - 3. Let r be b(2). Let s = 11 - r. Let g be p(s). Solve -5*u = g - 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3043001?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3129, -7358, -11587, -15816, -20045?\n\"Answer: -4229*a + 1100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 502322 and 502328 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -812 + 810. Let j(y) = 3*y**3 + 2*y**2 + 2*y - 3. Let s(r) = 9*r**3 + 7*r**2 + 7*r - 8. Give p*s(v) + 7*j(v).\nAnswer: 3*v**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 - 117 = -20*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 6:41 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9484, -1\/5, -5\/2, 5, -1?\nAnswer: -9484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26670 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/6 and 121\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -19. Suppose -2 = 3*f - q, -4*q - 4 = -l*f - 2. What is the third biggest value in 4, 12, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64261\/96378 + -3\/32126. Which is greater: h or 0.295?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + ((-7)\/(-35) - 84\/20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2930, -206, -3, 182 in decreasing order.\nAnswer: 2930, 182, -3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 3, 2\/9, -44\/9, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 + 17*q**2 - 13*q - 11. Let p(h) = 4*h**3 + 25*h**2 - 19*h - 16. Let v(r) = 5*p(r) - 7*t(r). Let d = 2 - -3. What is the units digit of v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*m + 1 + 1 = 0, 5*m + 10 = 0. Suppose -2*c + 5*c - t = 0. Put c, -5, 2 in decreasing order.\nAnswer: 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*k + 6. Let x(h) = -11502*h**2 - 5*h - 2. Let i be x(k). Round i to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -4*c. Suppose 5*x + 0*x - 165 = c. Calculate the remainder when x is divided by 438*7\/182 - (-2)\/13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-2))\/((-3)\/78). Let y = 2030 - n. Suppose -2*k + y = 3*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2860)\/176)\/((-3)\/144)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/13*h**2 + 2\/13 - 4\/13*h - 8\/13*h**3.\nAnswer: -2*(h + 1)**2*(4*h - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 37239748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.3, -35\/38694?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = u + 3, 3*u + 2*u = -3*x - 28. Let s be (-4)\/u*(-45)\/(-18). Factor 4\/7*b - 2\/7 - 2\/7*b**s.\nAnswer: -2*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54494819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:19 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-50)\/(-6))\/(-5))\/(3\/9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**4\/24 + 2*g**3\/3 + 2*g**2. Let f be o(-4). Suppose f = 2*l - 3*d - 0*d - 45, 91 = 4*l - 5*d. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 11*p**2 + 15*p + 16. Determine y(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**5*z\/(z*z**(-2\/9))*z)\/(z**(-5)*z*z*z*z**(2\/7)*z)*((z**(-2\/7))**5)**(-2\/49) assuming z is positive.\nAnswer: z**(24680\/3087)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofcocfxxfockxoxxxk. What is prob of sequence ookk?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8253.968 litres?\nAnswer: 8253968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 1. Suppose -65 = -m*h - 2*h. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021504317.\nAnswer: 3, 340501439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28315 is divided by 161.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900947 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 376952909779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 11 - y**3 + 15*y**3 - 7.\nAnswer: 14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 68, 60, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-678)\/(-1356))\/((-48)\/(-396)).\nAnswer: 33\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 665, 558, 119, -652, -1755, -3190?\nAnswer: -4957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -652218 divided by 371\nAnswer: -1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431554307 to the nearest integer?\nAnswer: 20774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 193, 381, 567, 751, 933, 1113?\n\"Answer: -b**2 + 191*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*h + 1337, 2*h - h + 2*f - 443 = 0. Let i = h + -57. What are the prime factors of i?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-5 - -9)) + -14 + -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2) + 180\/(-36)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*o - 75 + 365, 272 = 5*h + 4*o. What is the lowest common multiple of 12 and h?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -4*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -220 + 215. What is the tens digit of (4*z\/(-20) - 5) + 618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 m, and 1 e when three letters picked without replacement from eeskm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14 = -2*t + t, 5*j = -4*t + 56. What is the remainder when 40 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8774553 nanograms?\nAnswer: 0.0000000000008774553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngnznznqqzqkkgkk. What is prob of sequence kkg?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence it when two letters picked without replacement from {g: 1, t: 6, i: 9, a: 2}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1700)*-1*6 + 3)**2 - (-4 + -5 + sqrt(2057) + 2 + -4)**2.\nAnswer: -478*sqrt(17) + 59058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 3*q - 3*q)*(4 + 1 - 3)*(-47 + 18 - 65) in the form a + s*q and give s.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6) - 6\/10)\/(93\/837)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 12 + 3*r**3 - 2*r**3 - r + 4. Let z = -1 + 7. Let s be (-28)\/z + 4 + 4\/6. What is f(s)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.98 - 43. Let j = -0.22 + -3.26. Let d = m + j. Round d to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5014 and 2?\nAnswer: 5014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 812 + -716. Let w be 2\/m*11\/((-616)\/126). Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (32 - -6) + -22\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 28686442.49 to the nearest 100000.\nAnswer: 28700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22c2b (base 13) to base 4\nAnswer: 33201131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 17 + 8 + (-7 - 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -6. Let g(c) = -c**3 - 24*c**2 - c - 2. Let i(q) = -4*q**2 - q. Let y(l) = g(l) - 5*i(l). Give y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195801 to the power of 1\/2, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 21 = 6*w + 3*y, 4*w = 2*y - 8. Let j(p) = p. What is j(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*r = -7 - 12, -5*z + 5*r - 45 = 0. Is (-4)\/z*(161 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5, 0*t = 3*j + 4*t - 4. Suppose -4*r + 8 = -4*o, 4*r + 3*o = -j*o + 8. Suppose d + r*d = 6. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73592\/9 + -8177. Let n = -12 + 12.7. What is the nearest to -0.1 in v, n, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + o + 1. Let y = 8 - 3. Suppose 3*w = -y*s - 15, -4*s - 4*w + w - 15 = 0. Suppose s = -3*d - 3. Calculate a(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235444953 and 2927.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 6*f**2 - 2*f + 14. Let b be l(6). Let n(q) = -q**2 - 2*q + 3. Calculate n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/5)\/(18\/3870). Is a\/301 - (-305194)\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*k**3 - 45*k**2 - 6000 + 900*k.\nAnswer: 3*(k - 20)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence df when two letters picked without replacement from {d: 2, i: 3, j: 1, f: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 20411\nAnswer: 20411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i - 2*o - 16 = 0, -3*i + 3*o + 18 = 0. Let l = 1018 - 1021. What is the closest to -5 in i, l, -3\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -8 + (-2 - 1 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 1033, 3755, 9051, 17779, 30797?\nAnswer: 48963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 25*i + 6. Give u(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + -1. Let w = x + -18. Let d = w + 24.971. Round d to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h - 2. Give z(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -446\/5. Is 1 less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489357 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 4)*(2 - 2 - 2)*(-4*a**2 - 2*a**2 + 4*a**2) in the form v + i*a**2 + w*a and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.8 + 7. Let a = -479.4 - -479.20008. Let s = a + i. What is s rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of n*s - 229*n*x - 2*s*x**4 + 4*s*x**3 - 4121 wrt x.\nAnswer: -229*n - 8*s*x**3 + 12*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53 - 18?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 3 + 29 + 5. Suppose 9*j - v = 89. Suppose -9*w = -j*w + 1030. List the prime factors of w.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 486 (c) -20 (d) 0.02 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1210 - -38?\nAnswer: -1161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 0*n**4 - 7\/10*n**5 + 0*n**2 - 30*n + 0 + 16\/3*n**3. Find the second derivative of c(b) wrt b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = -5*a - 0*a, -3*a - 5*z - 11 = 0. Let p(q) = 0*q**2 + 3*q + 3 - a*q**2 + 2*q**2. What is p(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*x + 5*r, -2*r = 4*x - 8 + 26. Suppose 12 = q - 5*q, 4*q + 12 = -3*b. Suppose b*p + 10 = -4*i - p, i + 2*p + 6 = 0. Is i at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77244547 * 0.4.\nAnswer: 30897818.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpkk when four letters picked without replacement from pkkkkpkkkkk?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3461 (b) -0.16 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -50, 2, -2\/5, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 5*d**5 - 2*d**2 - 32*d + 193. What is the first derivative of n(u) wrt u?\nAnswer: 100*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**3\/3 + 3*z**2\/2 + 2*z + 1. Let k(a) = -3*a**3 + 7 + 3*a**2 + 4*a**3 - 4 + a - 7*a**2. Let p be k(3). Give h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 17697433.1.\nAnswer: 17697432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 573.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.063 + -1.737. Let i = c + 6.8. Let v be 4\/10 - 19\/60. What is the third smallest value in v, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1263*k + 1906*k - 987*k. Let v(z) = 7*z. Determine y(v(h)).\nAnswer: -2408*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 11*n - 7. Let m be x(12). Let j = 3.1 - 3. Which is the smallest value? (a) -5\/6 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3992*o = 3933*o - 118 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -33. What is the biggest value in v, 3, 2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-12)\/54)\/(-2). Which is the nearest to 6? (a) 1\/2 (b) -137 (c) r (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2864, -5648, -8750, -12326, -16532, -21524, -27458, -34490?\nAnswer: -42776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4151, -8324, -12521, -16754, -21035, -25376?\n\"Answer: -2*o**3 - 4159*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -m**6\/960 + m**5\/480 + m**4\/96 - 13*m**2\/2 + 11. Let r(x) be the second derivative of f(x). Solve r(w) = 0 for w.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 488\/(-22) - 6\/(-33). Let o = -18 - b. What is the second derivative of -2*i**5 + 4*i**4 - 4*i**4 + 4*i + 0*i**o wrt i?\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/7*4)\/(16\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/2)\/((160\/(-256))\/((-50)\/(-8))). Solve -10*o + g = -0*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**3 - 59*z**2\/2 - 79*z - 32 = 0. What is z?\nAnswer: -2, -1\/2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 13*l**2 + 12*l + 17. Let r be z(12). Let d = 71 + -67. Suppose -5*c = -2*a + 13, 3*c - a + 4 = d*a. Sort c, r, -5 in decreasing order.\nAnswer: r, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -46\/4937393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4017 + 5669. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 257 - 249. What is the least common multiple of 68 and o?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnny when four letters picked without replacement from cyccncyynccy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2041?\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from {q: 1, r: 1, z: 1, w: 3, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6851418 (base 9) in base 15?\nAnswer: 4cebc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 5*g + 528 = 553, 7*g + 35 = -2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*a**2 + 5 - 3 + a - 2*a**3 to d*a + s*a**3 + k + h*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 488?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/(3\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 - 0) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5792 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 8:09 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7565*f - 7704*f + 3614 = 0 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*g**2 - 2329*g**2 - 609*g**2.\nAnswer: -2687*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z + 1. Let r be o(3). Let m = r + -40. Let n(l) = -11*l + 1 + 18*l - 6*l. Determine n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 l when three letters picked without replacement from xxbtlznb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose a*x = 6*x. Suppose 4*f - 12 = 4*y, -12 = -4*f - y - 3*y. Solve f*w - 3 = 0, -2*w = 3*n - x*w - 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*s**2 - 14*s**2 - 4*s**4 + (-4*s**4 + 0*s**4 - s**4)*(0 - 5 + 4).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 236, 354, 472?\nAnswer: 590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -129. Suppose -r = 3*r - 2*l + 10, -3*r - s = 5*l. Let p(t) = -5*t - 3 - 2*t - t**2 - 5*t + 5*t. Give p(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.116 + 0.13. Let a = -0.488 + -0.036. Let p = z + a. Round p to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 64 = -h. Suppose -3*g = g - h. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(2*1)\/1*69668\/(-34834)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + p**2 - p + 37. Let f be s(0). Let v(a) = -7*a**2 + 3*a + 2. Let h be v(-1). Is f*(h\/2)\/(-4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 10*f**2 + 8*f. Let j(y) = y. Give -10*j(g) + n(g).\nAnswer: 10*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 94?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(500) + -3 + sqrt(500)) + 0 + (((sqrt(500) + 1 - sqrt(500))*-5 + sqrt(500))*-6)**2).\nAnswer: -7120*sqrt(5) + 37788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8 - 2\/(-65)*405\/(-216)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 + 35 = 3*s. Let f = s - -94. Suppose 2\/3*m + 0 - 7\/3*m**4 - 11\/3*m**f + 16\/3*m**3 = 0. Calculate m.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i**3 - 1. Let y be c(-1). Let b(q) = 1. Let n(k) = 3*k**3 - 1. Give y*b(m) + n(m).\nAnswer: 3*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.2. Which is the second biggest value? (a) 2\/61 (b) q (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 2*m + 1. Let w(k) = k**2 - k + 1. Let x(v) = -4*d(v) + 5*w(v). Let q(a) be the first derivative of x(a). Differentiate q(l) with respect to l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9212 + 0.0112. Let o = 0.09 - b. Let k = o - 2. Is 1 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 23098 = -4*z + 10*o, 0 = -3*z - o + 17321. Calculate the highest common divisor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -66, -95, -144, -219?\n\"Answer: -h**3 - h**2 - 5*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 - 5*g - 4. Let h be p(-4). Let s(u) = -u**3 - 3. Let v be s(h). Let n = -0.07 + -3.93. What is the second biggest value in -1\/7, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 0*s)*(694 - 694 + 61*s).\nAnswer: 61*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93 + 90. Let x = -16 + 14. Sort x, 1, z, -1\/2 in descending order.\nAnswer: 1, -1\/2, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 = -4*h + 1762. Suppose -2*q + v = -4*q - 518, -q + 2*v = h. Round q to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 + 54.051. Let f = 0.05151 - y. What is f rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 0*y**2 + 0*y**2 + y**2 + 8 + 10*y - 2. Let z be t(-7). Let a = -15 - z. Solve -g + 5*g - 16 = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655148 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 391*s + 409 wrt s.\nAnswer: 391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = h - 3*t - 3, 4*h + 21 = 3*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 1231346?\nAnswer: -1231353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + -1)*(16 - 17) + 22. Let a be (2*j\/(-12))\/(51\/(-68)). Solve -2*v = 4*x - a, 3*x = x + 4*v - 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -22, -55, -124, -241?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7564 and 341.\nAnswer: 83204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*d - 31. Suppose -5*t = 5*w + d, t = -4*t + w + 15. Suppose t*y + 5*s - 15 = 6*s, -y + 3*s = -5. Is y less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 88. Let w be o(21). Let b be 6 - (-5 + w) - -5. Solve -3*k - 4*l = 29, -7*k - b = -2*k + l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.211 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c - 594 = 25*c - 37*c. What is the nearest to 2\/5 in c, 1\/13, 0, 3?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2641 - 2637. Let r = 8 - 3. Let j be ((-4)\/(-10))\/((-1)\/r). Sort t, j, 9 in ascending order.\nAnswer: j, t, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171.5 + -177.5. Is t greater than or equal to -6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6087*k - 6086*k = -5*d + 18, 13 = -3*d - 4*k. Let y = 5 + -2. Suppose 2*u = y*r - 0 + 7, -4*u - r + 7 = 0. Put u, -5, d in decreasing order.\nAnswer: d, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-6)\/2)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of ((-2)\/(-3))\/((-37)\/(-183705))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1235172, -2470342, -3705510, -4940676, -6175840, -7411002?\n\"Answer: s**2 - 1235173*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 348 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 15*u + 22 = 12*u, u - 21 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*j**4 + 4*j**3 + 202*j**2?\nAnswer: 480*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.6 + 0.3. Let g = 8733 - 130993\/15. Which is the biggest value? (a) u (b) 5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-6)*(-54)\/(-8). Let z be (2\/(-6))\/((-6)\/r). Suppose -3*g + 30 = z*g. Is 5 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j. Let i be (-2 - j)*(-15)\/6. Suppose -i*m + 3*m = 0. Solve m*d = -2*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 4. Let g(v) = -3*v - 4. Calculate -2*g(u) + 3*k(u).\nAnswer: -3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/10 at least as big as 18\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 205 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {f: 1, z: 13, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(21*6\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1007124 and 33235092.\nAnswer: 33235092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 49*f - 8. Calculate the remainder when r(1) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0007, 1\/3, 130, 1\/6?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 1\/2, -4, 5\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(242)*2)**2 + 4.\nAnswer: 4844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of j**6\/120 + j**5\/6 + j**4\/4 - 2*j**3\/3 + 2*j**2. What are the prime factors of x(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16122.\nAnswer: 2, 3, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 36*q + 81*q - 271*q to j + l*q + u*q**2 and give l.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2158 - 987. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 102. Calculate the least common multiple of k and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, n: 4, p: 7}. What is prob of sequence ndn?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let i(n) = -2*n + 1 - 4*n**2 - 2*n**2 + 4*n**x + 3*n**2 + 2*n**3. Calculate i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757596673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 87 (b) 11\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7 = -18. Let o be (-15)\/9*-1*3. Suppose 0 = -o*t, -s - 3*t + 15 = -0*t. Solve z*c - s = -0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -197, -295, -395, -497?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5200 divided by 4?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8068\/4973 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 7*r - 8*r. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130025820.\nAnswer: 2, 3, 5, 2167097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -0.14107\nAnswer: -0.84642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 4935831096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*u - 4. Let s = 89.01 - 89. What is the second smallest value in u, s, 1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34992\/(-3888)*1*(2 - -1)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4161 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*x**2 - c**3 - 4*c + 437*x**2 wrt c.\nAnswer: 9*c**2*x**2 - 3*c**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30648 is divided by 548?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.439768 to two decimal places.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 4:46 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -118\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-156)\/72*-42)\/(6\/30). Suppose 2*n - 5*f = 155, 365 = 5*n - 0*f - 5*f. What is the greatest common factor of n and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 240\/(-2)*24\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3033 + 11200301232?\nAnswer: 11200232133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from fzzoqquqoozqqoof.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 151900 to the nearest 1000.\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.02, 0, 1\/8, 1, 327, 3\/5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 3, g: 5}. What is prob of picking 2 g?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 s when three letters picked without replacement from {s: 1, g: 5, b: 1, c: 1, o: 4}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 48 = 5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = 2*y, -4*y + 3*x + 4 = -x. Let o(j) = j**2 - 7*j + 14*j + y*j**2 + 9 + j**2. Is o(6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 317.1196 millennia?\nAnswer: 3171.196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5070)\/(-120) + -42)\/((-18)\/(-16))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10152 + 10149. Let g(m) = 5*m**2 - m - 4. Give g(d).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 458*a - 1861. What are the prime factors of b(24)?\nAnswer: 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4\/5 - 26*o**3\/5 - 118*o**2\/5 + 162*o + 180 = 0.\nAnswer: -6, -1, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*r = -0*r - 73, k + 17 = 285*r - 284*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -529, -1918, -4631, -9112, -15805?\nAnswer: -25154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 18419. Suppose 4*b = 29193 + c. Let w = -1903 + b. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -11. Let y be (-176)\/55 - -2 - 8\/10. Which is the nearest to 2? (a) y (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) -1.35 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, 0.16, -0.1, 2\/19?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (3 + -2 - (-9 - -7))*5 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x + 2*x**2 - x + (0*x**2 - 3*x**2 + 0*x**2)*(-6 + 1 + 3) + x**2 + 0*x**2 - 3*x**2 + (-x + 4*x - 2*x)*(-8*x + x + 2*x) - x**2 + 0*x**2 + 2*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o. Let c be u(1). Suppose 5*k = c*k. Suppose k = -z + 98 + 44. Calculate the remainder when z is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.157 and -0.3?\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5654 - 5649. Sort 7, 0.16, -2\/3, 0, u in decreasing order.\nAnswer: 7, u, 0.16, 0, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j + 11. Let n(a) = -3*a - 12. Let v be n(-4). Let f(g) = g**3 + 2*g - 6. Let h be f(v). Let k(m) = -4*m - 6. What is h*b(c) - 11*k(c)?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 646 and 2774.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*u**2 + (3*u - 3*u - 2*u**2)*(2 + 0 - 3) + 9*u**2 - 4*u**2 + u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 3*g - 285, 0 = 8*q - 4*q + 4*g + 600. Let c = 290 + q. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5182785944 to the nearest integer?\nAnswer: 71992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85.39 - 85. Let d = -0.71 - -0.34. Let c = t + d. Is 2 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) 2 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -444?\nAnswer: -13\/444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03304001598 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let h(v) = -v. Let c(r) = -14*h(r) - 6*u(r). Let p(n) = 3*n**2. What is c(p(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 543 = -116*w + 1589. Solve -5*y = 3*h + 12, -5*y = 5*h + 2 + w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 1. Let t(m) = 3*m - 9. Let q(a) = -4*s(a) + t(a). What is q(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 38*t**3 + 1215*t**2 + 74393*t + 73216. Let q(b) = -7*b**3 - 243*b**2 - 14879*b - 14643. Let o(n) = 8*g(n) + 44*q(n). Let o(p) = 0. What is p?\nAnswer: -121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 35 = -7*u. Let i = u - 3. Suppose -i*g - g = -175. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u - 8. Let s(p) = 650*p**2 + 8*p + 4. Determine s(r(a)).\nAnswer: 5850*a**2 + 31176*a + 41540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 9*a + 5. Let n be x(-8). Suppose 395*q - 379*q = 32. Let r(s) = 6*s. Let y(u) = 5*u. What is n*y(b) + q*r(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -0.9?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -152*q - 356. What is the units digit of j(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*j + 3, 4*f - 2*j = 12. Is f > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)\/i)**(-1\/18)*i*i**4*i\/(i\/(i**(1\/4)*i))*i*(i\/(i**(-1\/6)\/i)*i\/(i\/(i*(i\/(i\/i**8*i*i))\/i)*i))**(-20\/7) assuming i is positive.\nAnswer: i**(-3361\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2745834.\nAnswer: 2, 3, 7, 13, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.006*0.2\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 20 + 2*p + 155652*p**2 - 2*p.\nAnswer: 155652*p**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 209 = -3*s, 2*s = 3*j - 7*j + 154. Solve -7*c = j - 61 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w**3 - 14*w**2 - 12*w + 4. Let f be v(5). Suppose -2*g + g = d + f, g + 82 = -4*d. Let z = -91 - g. Solve 5 = 3*i - z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 431 and 119387.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a**2 - 2*a + 1. Let y be f(1). Let v be y + -6 + (-2 - -3). Sort -26, 5, v, -1 in descending order.\nAnswer: 5, v, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.402 + 0.002. Let p = 3.5 - 3. Let i = 0 - p. Which is the third biggest value? (a) y (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -81887408 or -81887409?\nAnswer: -81887408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/6 - 17*r**3\/2 - 375*r**2\/2 - 2093*r\/6 - 170.\nAnswer: (r - 68)*(r + 1)**2*(r + 15)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -5\/6*x**2 + 127 + 25\/3*x - 25\/9*x**3 + 5\/12*x**4. Factor o(a).\nAnswer: 5*(a - 5)*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.3824585 - 1.3824637. Let u = 4.9 + 28.1. Let w = u - y. Round w to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 1\/5, -7, 3, -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*z - 5, 0 = -5*l - 3*z - z - 5. Suppose 5*p + 3*d = -34, 0*p - 1 = -p + 2*d. Put l, p, 0 in decreasing order.\nAnswer: 0, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 157.\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/11 (c) -4\/5 (d) -2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(76) + (sqrt(76) - (sqrt(76) - (sqrt(76) - -5*(sqrt(76)*-2 - sqrt(76))))))\/(((1*sqrt(32)*1 + sqrt(32) - sqrt(32)) + sqrt(32))\/sqrt(8)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/2 (b) 532 (c) 2 (d) 3\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-160))\/((18\/16)\/3)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -61366\/21 at least as big as -2921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (21\/14)\/(2\/(-20)). Let o = g - -15. Suppose o = -n + 2*n. Solve -2*c + 4 = -n*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4\/9*d + 2\/9*d**2 + 2\/9 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 943, 2128, 3787?\nAnswer: 5920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/((-4)\/(-108)*9).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-116)\/(-2) - (2 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208 + -99. List the prime factors of f.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -32b?\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 816*n - 263. Is g(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001073463152 rounded to 6 dps?\nAnswer: -0.001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 71815.\nAnswer: 574520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -46. Calculate the highest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9720772 and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddnwwznnwwnnnwnnwn. What is prob of picking 2 w and 1 n?\nAnswer: 45\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -3\/4 (c) -15 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-12*13\/(-52).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34) + (sqrt(34) - ((5*sqrt(272))\/sqrt(8) - sqrt(34) - sqrt(34))) + sqrt(34))*-4)\/(sqrt(22)\/(sqrt(396) + -2*sqrt(396))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -89325 rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 - 7*w**2 - 11*w**2 + 29*w**2 - 6*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 21 - 10) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1885 times -1.1\nAnswer: 2073.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 25 - 39. Suppose -2*s = 5*u - 6*s - 80, 0 = -4*s. Suppose -g - g = -u. What is the greatest common divisor of g and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 1.6, 5, 8?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 6*a**2 - 15*a - 5. Let f be x(-5). What is the greatest common factor of f and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -38*s**3\/7 - 1716*s**2\/7 + 1472*s\/7 = 0.\nAnswer: -46, 0, 16\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1123 - 0?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*r + 20416 = -128*r - 228157. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964074.\nAnswer: 2, 347, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a century?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.000000245 + -10. What is g rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32139 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0)**2 - ((sqrt(140)\/sqrt(4))\/sqrt(5) + sqrt(7)).\nAnswer: -2*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - 712. Let q = t - -747. Let z = 7 - 22\/3. Which is the fourth biggest value? (a) 2\/5 (b) q (c) -4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3731479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 384 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.101 in 3\/2, -0.3, -430?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k. Let y be (-64)\/(15 + 9 + -26). Let r(b) be the first derivative of 0*b - 3\/2*b**2 - y. Calculate r(j(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 4:50 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 50025678931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*f**3 + 2363*f - 2363*f + (-1 + 1 + 2*f)*(-f**2 + 2*f - 2*f + (-8*f - 3 + 3)*(0 - 4*f + 0)).\nAnswer: -46*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -221?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 r when three letters picked without replacement from rggaggrgtyrgyrrrzgrr?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -371*i**6\/10 - 198*i**2 + 22*i + 5. Find the first derivative of b(q) wrt q.\nAnswer: -4452*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -5*s + 4*w - 64, 20 = 4*s - 33*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -197966, -197886, -197748, -197546, -197274, -196926, -196496, -195978?\nAnswer: -195366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) -24 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3\/9 - 457066*x**2\/9 + 1828048*x - 16451784 = 0. What is x?\nAnswer: 18, 228497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -462 + -6?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6039 and 356850?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 113*q - 2776\/3.\nAnswer: (q - 8)*(q + 347)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4899 and 162.\nAnswer: 264546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**2\/5 - 4716*b - 164864\/5 = 0.\nAnswer: -5888, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 + 5 - -23) + 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2218 and 741258927.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-694)\/10)\/(3\/(-15)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-5)\/a)\/a)\/((a**3\/a)\/a))\/((a*a**(3\/2))\/a*a**(-1))*((a**(1\/2)\/a)\/(a*a**1*a*a))**(-10\/7) assuming a is positive.\nAnswer: a**(-29\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**2 - 4*v**2 - 2*v**5 + (-2 + 3*v + 2)*(-v**4 - 3*v**4 + 2*v**4).\nAnswer: -8*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*f - 6. Let c(y) = -4*y + 3*y - 3*y**2 + 4*y**2 - f*y**3 + 2*y**3 + 1. What is the units digit of c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378678 is divided by 224.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, t: 1, e: 2, q: 3, x: 1}. What is prob of sequence qxq?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Suppose s + s = -10. Let j(v) = 6*v. Give s*a(f) + j(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 - 2.9. Let n = -3.7 - k. Let l(v) = 3*v**3 + 13*v**2 + 4*v - 3. Let f be l(-4). Which is the second biggest value? (a) 3 (b) n (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 + t + 765. Let p be o(0). Let a = 2254\/3 - p. Calculate the common denominator of a and -68\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 3*j + j)*(2*j + 2 - 2)*(3 + 1 - 1).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-14)\/6 - (5 + -7). Is 2 bigger than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8788 is divided by 118?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -20, 303, 2\/11, 0.5, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2. Let x(g) = 16*g + 88*g + 10*g - 9*g. Calculate s(x(y)).\nAnswer: -22050*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 99\/1210*11*110\/242\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + -12)\/(2 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5)*(-8 + 324\/48). Let c = 0.8 - -4.2. Let t = -3 + c. What is the third smallest value in -4\/3, t, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14179383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2006)\/(-2) - (3 - 5). Let j = w - 265. Suppose -3*u - j = -5*u. What is u rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, v: 10}. What is prob of picking 2 d and 2 v?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 + -10 + 358\/56 and (5 - 7) + (-110)\/(-28).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(0 + -2))\/(9 - 7). Solve -c*k - 4 = -4*v, k + 2*v - 8 = -v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4295827155?\nAnswer: 3, 5, 17, 16846381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 18*s + 10. Let t be f(9). Let d = -50 + t. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-83485014\nAnswer: -25045504.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -5, -1, -3, -56\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**2 + 5*d - 6. Let x(s) = 6*s**2 - 5*s + 7. Let g(j) = 7*i(j) + 6*x(j). Let p be g(-6). What is the highest common factor of p and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22383 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/259 and 26\/333.\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z - 10. Let i(j) be the first derivative of -j**4\/2 + 2*j**3 + 3*j**2 + 3*j - 40. Let t be i(4). Put z, 19, t in decreasing order.\nAnswer: 19, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/(p**(-1)*p))\/(p**5*p\/p**(-5\/4))*p**(-2\/3)\/p**(-4)*p**(-2\/15)\/p*p**5 assuming p is positive.\nAnswer: p**(-61\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 1 (c) -5\/4 (d) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 - h**4 - 27*h**3 - 27*h**2 + 54*h.\nAnswer: h*(h - 6)*(h - 1)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -2063, 0, 30, -5 in descending order.\nAnswer: 30, 0, -5, -51, -2063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463078 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 - 12)*(1537 - 1537 + 58*q**2) to the form y*q**2 + r + l*q and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 2:49 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 212\/(-159)*(-18)\/4. Let n(c) = 3*c**3 - 19*c**2 + c - 5. Let b(y) = 3*y**3 - 21*y**2 - 6. Let t(x) = q*n(x) - 5*b(x). Suppose t(g) = 0. What is g?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*o - 144*o - 184 = -49*o for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3.1. Let b = 13492 - 67514\/5. Is b bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10326960 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**2 + 27*k - 145. Let l(z) = -7*z**2 - 14*z + 72. Let a(y) = 3*b(y) + 5*l(y). Is 22 a factor of a(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3107 + -285823\/92. Calculate the common denominator of -83\/4 and l.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40, 62, 98, 148, 212, 290?\n\"Answer: 7*s**2 + s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = i - 3, i + i - 6 = o. Suppose -280 = -7*g + i*g. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 at least -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*j = 0, -2*d + 20*j = 19*j - 1. Is -2\/95 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 14 = 14. Solve -2*h - 14 = 2*j, 0 = -s*h + 5*j - 2*j + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*19809\nAnswer: 39618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6471 - 6361) + (0 - 68).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78700 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1743338155 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + -2.02. Let m = -69957 - -69953. Which is the nearest to -7? (a) 0.3 (b) i (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -9*g - 5. Let v be (-25)\/(-5) + (-5 + 15 - 13). Let f(t) = -4*t - 3. Determine v*y(c) - 5*f(c).\nAnswer: 2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-3) - 2)*-8. Let c = 100 - d. Find the common denominator of 36\/11 and (1377\/c)\/(3\/(-2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 11:10 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 1\/4*l**4 - 4*l - 5 + 2*l**3 - 1\/2*l**2. Let s be g(-6). Solve -s - 2 = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -701 (base 16) to base 9.\nAnswer: -2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 624a?\nAnswer: -624b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/42 - (-2 - 1207557\/(-616)). Let f = h + 1958. Find the common denominator of 33\/40 and f.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71282 is divided by 387?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 4:46 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 + 2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1877 = -4*c - n, c + 4*n + 916 = 3*c. Which is bigger: c or 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 345 and 171810?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -13*g - 17. Let k be n(-5). Calculate the highest common divisor of 48 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + u**2 + 2*u + 12. Let w be p(0). Let c be w\/8*106\/(-3). Let a = c + 101. Does 16 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.1 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7)*(1 - -6). What is the third derivative of 5*v**6 - 41*v**2 - 5*v**6 + 67*v**j + 16*v**6 wrt v?\nAnswer: 1920*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240480 and 1710?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12)*-2)\/((-2)\/8)*(-1961)\/221593.\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 44*j - 17. Let m be q(23). Differentiate 945 - 18*o**2 - m - 5*o**2 wrt o.\nAnswer: -46*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 799\/4 - 200. Let g = -0.42 - -9.42. Let b = -3 + g. What is the nearest to y in 3, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3662802770 to the nearest integer?\nAnswer: 60521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46444 + -417944\/9. Factor -4\/3*h**3 + 4\/3 - i*h + 52\/9*h**2.\nAnswer: -4*(h - 3)*(h - 1)*(3*h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-94)\/(-8) + 2\/8. Suppose 2*i + 5*c = -16, 5*i + 5*c = -4 - 21. What is the units digit of (1\/i)\/((-1)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - r**2 + 0*r)*(136355*r + 136524*r - 2*r**2 - 2 - 275701*r) in the form y + f*r + n*r**3 + p*r**4 + u*r**2 and give n.\nAnswer: 2822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18113 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388109*q = 387858*q + 7761 + 6546 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3\/401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 8. Let k be v(-6). Suppose 2*i - 4*t = -0*i - 12, k*i = -4*t + 12. Let q = 9 + i. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1355*g. Let n(b) be the first derivative of -b**3\/3 + 4079. Give n(x(l)).\nAnswer: -1836025*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000884202584 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.72 * -301.333\nAnswer: -216.95976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-8\/9)))\/x**(7\/4) assuming x is positive.\nAnswer: x**(-95\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/2 - 36775\/2)\/(58\/(-87)). Calculate the greatest common factor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24.28 - 13.41. Let v = j + -10.4. Let q = -0.533 + v. Round q to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2262435l?\nAnswer: 226.2435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42720*d*u**3 + d*u**2 + d - 58*u**2 + 136*u wrt u.\nAnswer: -256320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 17*z + 156143 = -5*n, -2*z + 2*n + 78072 = 0. List the prime factors of z.\nAnswer: 103, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -101101001001011011?\nAnswer: 101101001001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.529, 0.5, -10, 2 in descending order.\nAnswer: 2, 0.5, -0.529, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 2*a**3 + a**3 + (-a + a - 2*a)*(-3 + 3 + 2*a**2) + a**3 + a**3 - 4*a**3 + (4*a**2 + a**2 - 7*a**2)*(0*a + 0*a + a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3009*a**3 - 3036*a**3 + 6067*a**3.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5840203, -11680467, -17520745, -23361043, -29201367, -35041723?\n\"Answer: -r**3 - r**2 - 5840254*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(h + 2 + 12*h - 8*h).\nAnswer: 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -289?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 95*r\/3 + 16\/3 = 0. Calculate r.\nAnswer: -1\/6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16038)\/(-30132))\/(66\/682).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/12477 and -75\/3646.\nAnswer: 45491142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*u + 46, -582*u + 580*u - 326 = -33*n. Factor -1\/2*t**u + 1\/2*t**4 + 0 - 4*t**3 + 4*t.\nAnswer: t*(t - 8)*(t - 1)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 310 - 40. Calculate the remainder when g is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35.045 + 35. Let m = f + -0.155. Let g = -0.6 + -1.4. Sort m, g, 0.4 in increasing order.\nAnswer: g, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 24. Let i(l) = 10*l - 53. Let o(q) = -3*i(q) + 7*s(q). Let x be o(3). Solve 0 = -3*t - 4*k - x, k = 2*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2152 or 55925\/26?\nAnswer: 2152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -3001312333331?\nAnswer: -3001313000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 18 + 30 + -78.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23 times -101.404\nAnswer: 2332.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - 36754\/(-204))*1\/(-15) - 40\/(-4).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 95\/3. Let b = -7 + 5. Let h = 1003 - 1003. What is the closest to h in b, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-6\/13)\/(t**1)**(10\/3) assuming t is positive.\nAnswer: t**(-148\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1128452 or -1128439?\nAnswer: -1128452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 539145824 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -63735, -63724, -63697, -63648, -63571, -63460, -63309, -63112?\n\"Answer: q**3 + 2*q**2 - 2*q - 63736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*z**2 - 176*z**2 - 106*z**2 + 291*z**2.\nAnswer: -121*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*g**(-2\/51)\/g)\/g))**8*g\/g**(-3\/28)*g*g\/(g*g**25)*g assuming g is positive.\nAnswer: g**(-7967\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*u - 70 - 200, z = -7*u + 225. Calculate the lowest common multiple of z and 624.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.667 times -0.35204?\nAnswer: -0.23481068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*b*t**3 + 2*b*t**2 + 147932788*b - 2764204*t**3 wrt t?\nAnswer: -264*b - 16585224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2180 divided by 4.\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8951 + -6539. Calculate the remainder when t is divided by 151.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342048 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195*m**3 + 98229*m**2 - 8201*m + 411.\nAnswer: 1170*m + 196458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 5, 9 in increasing order.\nAnswer: 1, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 9. Calculate c(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + 1 + 0. Let r = -5.06 - -0.06. Which is the smallest value? (a) 4 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -767802, -767919, -768036?\n\"Answer: -117*m - 767685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242 + 36?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49 and 0.1022?\nAnswer: 5.0078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 24. Let h be l(-13). Let q = 21\/2 - h. What is the nearest to q in -2, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/645 and 35\/13932.\nAnswer: 69660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 2*q + 46 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b9a - -195?\nAnswer: 1d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 - 1)*((-3 - 3 - 18)*(-6*u + 3*u + u) + 0*u - 3*u + 5*u) + 2*u - 3*u + 4*u in the form n*u + s and give n.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.1 plus 55040587?\nAnswer: 55040562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*m + 249174 = 98*m. Does 43 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1716 divided by -286.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s - 3*u + 31 = 0, 4*u + 17 = 5*s. Suppose 0*m - m + 464 = -2*y, -5*y - 2320 = -s*m. Let j = -206 + m. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -49 - (-10 - 32)) + (10 - 5).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, k: 6, y: 2, h: 3, p: 2, g: 2}. What is prob of picking 1 p, 1 h, and 1 k?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2413.42929 seconds to days.\nAnswer: 0.027933209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - -48. Let o = -26 - p. Solve -5*r - 6 - 4 = -5*z, 3*z - r - 6 = o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 7*f**3 - 5*f**2. Suppose 5*y - y = -176. Let z be ((-7)\/(-4))\/(11\/y). Let q(i) = 10*i**3 - 7*i**2. What is z*g(m) + 5*q(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 42.48098046793?\nAnswer: -42.78098046793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f. Let a(x) be the first derivative of 0*x - 1 + 0*x**3 + 1\/2*x**2 + 1\/8*x**4. Let p(v) be the second derivative of a(v). What is m(p(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.43 + -0.13. Which is the closest to 1\/10? (a) t (b) 4\/5 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 3*l**2 + 7*l - 3. Let c be h(3). Suppose 10002 = -c*k + 43248. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 299 and 389.11?\nAnswer: 90.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3013 - -237791?\nAnswer: 237806.3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37978.8005 rounded to the nearest one hundred?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -2\/3, -7, -0.5, -8, 2\/3 in descending order.\nAnswer: 62, 2\/3, -0.5, -2\/3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 20189. Let a(x) = 33*x. Give c(a(z)).\nAnswer: 33*z + 20189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -74. Suppose x - u = 25. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13, 6, -5, -20, -39?\n\"Answer: -2*h**2 - h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -70.91. Which is the fourth biggest value? (a) -0.6 (b) 2\/9 (c) -0.5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -268\/143 + 22\/13. Let r = -7\/13 - 17\/65. What is the nearest to 2\/3 in z, -9, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -3, 0.68, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 31 = -b + 44, -5*b + 8 = -4*w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m - 1 = -14*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8943 - 606. Let b be y\/(8\/12 - (-3)\/36). Suppose 8*g + 3380 = b. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -4, 0.5, 549\/16, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 12. Solve 5*b + 0*h - 22 = -h, 5*b + 5*h = l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41028972 by -6838162.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2879 + -2882. Let d(s) = -8*s**2 + 2*s - 3. Let k(x) = x**3 + 9*x**2 - 2*x + 4. What is j*k(f) - 4*d(f)?\nAnswer: -3*f**3 + 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 400 = 14*m. Suppose 0 = -m*w + 24 + 96. Solve w*h - 9 = 3*x, -2*h - x = 1 - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/13, 3\/17, 1\/7?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253383.\nAnswer: 3, 13, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132472 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azww when four letters picked without replacement from wdnwawawzwwwwwnwwdd?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31265, 31275, 31299, 31343, 31413?\n\"Answer: o**3 + o**2 + 31263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-3843.8\nAnswer: -345.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 333276.6 millimeters in micrometers?\nAnswer: 333276600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2323 = 18*r - 1129 - 1446 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -0.135525495037806?\nAnswer: 4.864474504962194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + m**2)*(5*m - 3*m + 0*m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 + 313. Is 98 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -50, -10, 3, 1158 in increasing order.\nAnswer: -50, -10, -4, 3, 5, 1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4 - 6355209*l**2 - 3 + 6355214*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 771, 769, 767?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + k. Let c(j) be the third derivative of j**4\/24 - 3*j**2. Let o(h) = -2*c(h) - s(h). What is the second derivative of o(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241253938?\nAnswer: 2, 620626969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 plus -43389.163284?\nAnswer: -43387.963284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 132639 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17318*h + 29277*h - 5250*h + 11737*h.\nAnswer: 53082*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 - 1635.9.\nAnswer: -1605.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-3*2 - (sqrt(110)*-2*6 - sqrt(110)))\/((sqrt(70)*1*-6)\/(sqrt(252)\/sqrt(4)))*-5.\nAnswer: 35*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 14*i - 10*i**2 + 2*i**3 + 2*i**2 + 8*i**2. Let z(g) = 3*g**3 + 14*g. Let o(v) = -4*q(v) + 3*z(v). Find the second derivative of o(k) wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 - 2) - (-6 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 (base 9) in base 7?\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(4 - (-96)\/(-18)))\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-6) - 1\/(-6)*2. Suppose 2*x - 109 + 41 = -2*w, w + 5 = l. What is the greatest common factor of 312 and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 16*l**2 - 110*l + 1759. Determine q(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 11:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -151326 divided by 4145\nAnswer: -151326\/4145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 12 = 0, a + 29176 = 5*a - s. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w + 2*v = -49*w - 66, 184 = 2*w + 78*v for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 - l. Let n = 7285 - 7288. Let g(b) = 5*b**3 + 4*b**2 + 20*b. Calculate n*h(w) - g(w).\nAnswer: -2*w**3 - w**2 - 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/88 - 14\/77.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 48718, 70663, 92608?\n\"Answer: 21945*a + 26773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 7 = 106 + 181 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + t = -16, 0*f = -f + 2*t - 4. Suppose 2*w + f = 12. Suppose -w*s + 116 = -2*j, 5*s - 65 - 65 = -5*j. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 + 110 = 3*y + 4*f, -241 = -4*y - 5*f. Suppose 3*x + y - 222 = 0. Let m = -22 + x. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*m = 25*m + 33. Factor 2\/5*a**m - 4\/5*a**2 - 6\/5*a + 0.\nAnswer: 2*a*(a - 3)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 1473558\nAnswer: -147355.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -180 + 6*t**2 - 186 + 366. Let s(x) = -2*x**2 + 6*x + 6. Let z(l) = -2*l**2 + 5*l + 5. Let g(j) = -5*s(j) + 6*z(j). Give g(h(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 75710 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*d - 16*d - 58*d**2 + 27*d**2 + 21*d**3 - 83*d**3 + 65*d**3.\nAnswer: 3*d**3 - 31*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -570*o**2 + 1 + 706*o**2 + 958*o**2 - 4*o to x + b*o + i*o**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*((-20)\/(-12))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -534, 5, 4, -9, -2 in decreasing order.\nAnswer: 5, 4, 1, -2, -5, -9, -534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) 3\/11 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 5*x = 10, -3*o - 6*x + 528 - 534 = -0*x - 3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33912 - 33907. Let i(y) = y**2 - 9*y - 9. What is i(o)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -14*n**2. Let l(q) = 45*q**2 - 27*q**2 - 19*q**2. Give l(f(b)).\nAnswer: -196*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 18*z**2 + 63*z**2 - 23*z**2 - 25*z**2 + 8*z**3. Let y(r) = -23*r**3 + 8*r**2 - 3*r. Give 11*k(a) + 4*y(a).\nAnswer: -4*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2 - 2*z + 7*z - z. Let b be r(1). Suppose 0 = -3*i - 4*f - b, 2*i + 0*i + 3*f = -4. Are i and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 7 + 8 - 151*z**2.\nAnswer: -151*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2912 and -67\/672.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -161 + 153. Let u be (-10)\/q + (-33)\/36. What is the smallest value in 4, 0.05, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8402.611mm to nanometers.\nAnswer: 8402611000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwffqqqqwqwqwqqq. What is prob of sequence qf?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 0 = -2*o. Let j = 12 + -35\/3. What is the second smallest value in o, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2437523 to the power of 1\/2, to the nearest integer?\nAnswer: 1561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -981*k**6 - 20*k**3 - 2753*k**2 - 2.\nAnswer: -117720*k**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 10*r - 12. Let v be u(-10). Calculate the lowest common multiple of 1 + 0 + 39\/3 and 3\/2*(5 + -5 - v).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l**2 - 4*l**2 - 31*l**2)*((-2*l + 6*l - l)*(0*l - 2*l + 0*l) - 24 + 24 - 3*l**2 + 2*l + 0*l + 0*l + l**2).\nAnswer: 392*l**4 - 98*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/8*(-6 + (-406)\/(-21)). Suppose 35*b = g*b + 5. Solve 0 = 3*y + b + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -110746 by -37.\nAnswer: 110746\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bblbblblblbbbb. Give prob of picking 3 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 3*f - 3. Let h = -26 + 17. Let m = 11 + h. Let d be p(m). What is the nearest to -1 in 4\/7, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(3\/(-9)) + 0. Suppose -k*h - 1 = -16. Suppose -4*o + 12 - 10 = 6. What is the second biggest value in o, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 36*k**3 + 11*k**2 - 24*k + 3. Give c(-4).\nAnswer: -2029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -52. Let x = -3.3 - -3. Let j = x + -2.7. Sort j, -0.5, b.\nAnswer: j, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i = 0, -2*s + 4*i = -12. Suppose -n = -s*n + 15. Suppose -u - f = f - 6, f - n = 2*u. Are u and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**4\/4 - 23*g**3\/3 - 43*g**2\/2 + 30*g - 20. What are the prime factors of v(25)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 13*j - 140 = 0. Let v = j + -27. Which is greater: v or -3\/10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5165*r**4 + 22*r**2 + 5619649 wrt r.\nAnswer: 20660*r**3 + 44*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 1512 = 0. Suppose -9*x = -12*x + z. Is 28 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 - 1824940*x + 166520300180 = 0.\nAnswer: 182494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18709, -18706, -18703, -18700, -18697?\nAnswer: -18694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9676565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 136689 (b) 4\/9 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 877.02 and -4.41.\nAnswer: -3867.6582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 23. Let m = 59 - b. Calculate the highest common factor of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28889342.\nAnswer: 2, 14444671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20\/3*h**2 - 2\/9*h**3 + 62\/9*h + 0 = 0. Calculate h.\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 4*w - 2*w + (12 - 38 + 4*w - 26)*(3 - 1 + 0))*(-3*w + 3*w - 2 - w) in the form y + x*w**2 + s*w and give y.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 432 - 404. Let s = 11 + -7. Suppose 0 = s*c - 28 - t. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 0)\/((-1)\/5). Suppose -3*p + 1 = -2*f - 4, 5 = -v*p. What is the units digit of 18\/f*(-8)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (66 - (3 - -124) - (1 - -2)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 3*u + 15, 3*u - u + 5*n + 15 = 0. What is the remainder when 3\/(2 - (u - -1)) is divided by 0 - (-3 + 3 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 - 6243*g - 115280. Determine s(1579).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 160924 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 0.0688?\nAnswer: 0.4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12237 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 h(w) = -w**2. Let y(x) = -x**2 - 204. Calculate h(y(b)).\nAnswer: -b**4 - 408*b**2 - 41616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = h - 15, 2*h + 12 = -2*h. Let n(m) = c*m + 42*m**2 + 41*m**2 + 38*m**2 + 35*m**2 - 155*m**2. Calculate n(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ba + -3873?\nAnswer: -394d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let m be v\/(-2) + 54\/12. Solve m + 8 = 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 10) to base 2\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20633203 (base 7) in base 15?\nAnswer: -24a591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**2\/2 - 12. Let o(x) be the first derivative of -x**3\/3 + 14*x**2 + 1. Give a(o(g)).\nAnswer: -g**2 + 28*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 46. Let b be 132\/18 - 2\/(-3). Suppose 2*g = j + b, j - 5*g = 2*j - 27. Solve -j*d + y = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 4. Let f = -154 - -158. Let g be f*7\/(84\/(-27)). What is h(g)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13032989 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 4. Let d be c(-4). Suppose 3*l - 34 - 17 = d. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.26, 21579, -6\/13?\nAnswer: 21579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + 7. What is the greatest common divisor of 16 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2) + 1*-7. Let p be (-4)\/60*(b + -1). Factor 0 + 0*h + p*h**3 - 2\/5*h**2.\nAnswer: 2*h**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (18442 + 17922 - 20902 + 24340)*(2 - 2*y - 2) as l + v*y and give v.\nAnswer: -79604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2\/3 - 350*l\/3 + 7085.\nAnswer: -5*(l - 39)*(l + 109)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 98054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/246)\/((-8162)\/424 + 20)\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 262249 = -30*n - 73489. Calculate the greatest common divisor of n and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3395410 and 83187545.\nAnswer: 166375090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 895108.6 meters to centimeters.\nAnswer: 89510860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 16 = -4. Let r be (-7)\/(-3) + (-2)\/f. Let d(a) = a**2 - 2*a + 3. Let x be d(r). Solve 2*n - x = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 120. Let f be (-917)\/(-56) + -2 - 3\/8. Let g = z + f. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -4\/11, -2\/13, -2\/147, -1\/6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 354 - 376. What is the second smallest value in 2\/17, -0.5, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124600 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30012 divided by 122?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2, 3, -371 in decreasing order.\nAnswer: 3, 1, -1, -2, -371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*l - 0*l - 58, -2*l - 5*w = -34. What is the second derivative of -22*o**4 + o + 18*o**2 - 18*o**2 + l*o wrt o?\nAnswer: -264*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 10*c**3 - 61*c**3 + 60*c**3 + 2.\nAnswer: 21*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24096 divided by 24?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1105 and -41\/170.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*(-5)\/50?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1 (b) -1\/4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11564444 is divided by 5782170?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6 minus 0.11401?\nAnswer: -15.71401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - ((38 - 27 - -14) + 95).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -49, -74, -99, -124?\n\"Answer: -25*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/30*(-600)\/180?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206895 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (298\/(-298))\/(2\/((-228)\/(-3)))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122375137 or -1?\nAnswer: 122375137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**4 - 12 - 18*u + 5*u + 10*u to q + r*u**2 + c*u**4 + p*u**3 + y*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3898 + 3893. Let y(o) = -o**3 - 7*o**2 - 8*o - 5. Determine y(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*v + 14 = 0, 3*i + 3*v - 75 = -57. Let b be (-4)\/6*27\/(-6). Suppose -i*p - 7 = b. Calculate the common denominator of 137\/6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8511 * -677.26.\nAnswer: -576.415986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-14) + (-8)\/(-42). Let b(h) be the first derivative of -l*h**3 - 1 - h + h**2. Determine a so that b(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 11*b**2 + 16*b + 8. What is q(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = k + 41. Let f(d) = d**3 + 3*d**2 - 4*d + 1. Let u be f(-4). What is the closest to -0.3 in u, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = 3. Suppose 0*k - 3*r + 3 = k, 0 = w*k - r - 31. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 110339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2032031.7 months?\nAnswer: 16933.5975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 6:31 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 23239867\nAnswer: 3\/23239867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8656 and 33600428?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20454969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27382852?\nAnswer: 2, 7, 17, 57527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-54)*-3)\/((-12)\/(-9))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + 45*u + 46*u + 3 = 3*q + 100*u, 3*q - 7*u = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 20 = -4*c - c, -3*c + 2*l + 28 = 0. Suppose 5*d + 6 = c*d + j, -4*d - 2*j = -16. Suppose -11840*u = -11832*u. Solve -3*g - d*g = u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(-2\/35)\/(o**(2\/7)\/o*o)**(6\/29)*(o**(2\/23)*o**8)**(1\/35) assuming o is positive.\nAnswer: o**(2486\/16675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:58 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -4, -1\/18, 2\/5 in increasing order.\nAnswer: -4, -0.1, -1\/18, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63 + -146?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*o + 45 = 304*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 + 2*c**3 - c**3 + 3*c**3 - 10*c**3 - 2*c**3 + (-c**2 - 2*c**2 + c**2)*(2*c + c - 5*c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 101.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 136665627*l**2 + 2*l - 27979239 wrt l.\nAnswer: 273331254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 315?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5 + 19\/4*a - 1\/4*a**2 = 0?\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-672)\/(-504))\/((3\/(-9))\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*j + 289*j - 8708 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10)\/((-12)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.2 - 4. What is the third biggest value in 4, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14139916 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from ybyypynn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4962*p - 113. Let k(l) = -293*l. Give k(f(x)).\nAnswer: 1453866*x + 33109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 6.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -17*q + 36. Let m be f(2). Suppose 2*t - 64 = -2*t. Suppose -t = -4*n + 4. Solve -m*z - 2*d = 6, n*d = -3*z - 15 - 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 10*m + 5 + 9*m + m**3 + 23 as r + i*m + v*m**3 + o*m**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 - 9*r - 2. What is the least common multiple of g(-4) and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -18. Put m, -3, 0 in descending order.\nAnswer: 0, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 + 185. Suppose -w*n + 48 + 8 = 0. Solve 0 = 5*v - n*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -22, -118, -368, -850, -1642, -2822?\n\"Answer: -13*u**3 + u**2 - 8*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -642822 and -0.0529?\nAnswer: 34005.2838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/435, -133, 262 in descending order.\nAnswer: 262, 4\/435, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Suppose -z = d*z - 3*c - 21, -5*z + c = -19. Let y be (-7)\/(-4) - (-1 + z). Put 0.5, 3, y in descending order.\nAnswer: 3, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 3, a: 2, d: 3, g: 1, w: 1}. Give prob of picking 1 a, 1 l, and 1 w.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*x**2 - 15*x**2 - 17*x**2.\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**3 + 1083*c**2 + 390963*c - 460. Factor x(d).\nAnswer: 3*(d + 361)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggltcddlllgldgp. Give prob of sequence lt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -2*a - b - 4*b, -4*a - b + 228 = 0. What is the highest common divisor of 91 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -10 - (-21 + 35 + -26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 + 7*r - 3. Let t(b) = 14*b**2 - 20*b + 8. Let k(n) = 8*f(n) + 3*t(n). Factor k(g).\nAnswer: 2*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1338207, -1338260, -1338313?\n\"Answer: -53*c - 1338154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from llleellelleeee?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -430*c**2*z - 54*c**2 - 1 wrt z.\nAnswer: -430*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 251937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.6 - -115.1. Let s = b + -114. Sort 0.09, 5, s in ascending order.\nAnswer: 0.09, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29230726 by 14615363.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 0, -5631, -1\/155, 1\/3, 4?\nAnswer: -5631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 968\/(-40)*4\/(-8) and 97\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*u - 85 = 3, -5*j - 2*u + 440 = 0. Let p be ((-80)\/(-32))\/(1\/14). Suppose 26 = 37*w - p*w. Calculate the remainder when j is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -207*o - 666. What is a(-5)?\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 15*z**2 - 4*z + 7. Let d be 6\/(-27)*6*3. Is j(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -27, -40, -57, -78?\n\"Answer: -2*n**2 - 3*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*c + 22 = 3*k, k - 5*c = -18. Suppose 0*b + 8 = k*b. Solve -5*m + 9 = -b*a, -5*m - 2*a = -0 - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 2. Let q be j(-5). Let g(y) = 2*y**2 - 10*y + 10. Let b be g(q). Suppose b - 3 = -5*v. Let x(d) = -d**2 - 4*d + 4. Determine x(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 15) to base 14\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/20 - 36\/(-5). Suppose q + 96 = -h*q. Is 1532 - -1 - (10 + q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 + -10576456410168.\nAnswer: -10576456410167.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -78073 or -78100?\nAnswer: -78073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*l**3 - l**2 - 113*l**3 + l**2.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*l = 6*l - 71, 3*n - 5*l - 74 = 0. Let a(u) = -22 - 12 + n - 13*u. What is a(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.77 + 8.23. Sort 0.2, -5, s, -1\/3, 3.\nAnswer: -5, -1\/3, 0.2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1256, 5, 3, 0.4, -4, 6, -0.08 in decreasing order.\nAnswer: 6, 5, 3, 0.4, -0.08, -4, -1256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 1:36 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 59787301 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-2) - ((-3663)\/(-264)*4\/3 + -14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4 - 1419*m**2 - 222*m**5 - 591*m**5 - 137*m**5 wrt m.\nAnswer: -57000*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -537 - -564 - 3\/((-3)\/2). What is the highest common divisor of 6931 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let x(o) = -o + 1. Let m be 2\/8 - 1\/4. Let p be x(m). Let z be a(p). What is the nearest to -0.2 in z, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221003230322 (base 4) to base 2\nAnswer: 101001000011101100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.02 (c) 0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 65 (b) -2 (c) 0 (d) -3\/10 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 201211111210 (base 3) to base 4\nAnswer: 1133103303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + l = -25. Let a = -11 + 1. Let k = l - a. Solve k*z + 8 = z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**2 + 6*v - 7. Let j(d) = 9*d**2 - 13*d + 12. Let q(z) = 3*j(z) + 5*p(z). Is q(30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 - -264. Let b = p - 37. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 372, 752, 1120, 1470, 1796, 2092?\n\"Answer: -q**3 + 387*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3298*u**2 - 13201*u - 6. Determine l(4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 218987008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 2:58 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38722 is divided by 1934?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, i: 1, b: 2, v: 1, l: 2}. Give prob of sequence bbrv.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*c**3 - 17499*c**5 + 17500*c**5 + 3 - c - 153*c**6 - c**2 - 5*c + 33*c**3 - 51*c**3 wrt c.\nAnswer: -18360*c**3 + 60*c**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 114923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 2630 - 910. Does 59 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 729567 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-2)\/(4\/26). Let m(u) = 6*u + 12. Let c be m(1). What is the highest common divisor of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*m = -220, -178 = -0*q + 4*q + 3*m. Let g = -7 - q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0092202 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m**3*r**3 + 25*m**3*r**2 + 73815*m**3*r - 25338*m**2*r**3 + 91*m**2*r wrt m.\nAnswer: 42*r**3 + 150*r**2 + 442890*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*v + 1149, -3*l + 498 = -5*v - 390. Find the second derivative of 2 + 9*r + l*r**2 - 588*r**2 + 286*r**2 + r**3 wrt r.\nAnswer: 6*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4899762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**2 + 2*l + 4. Let d be a(3). What are the prime factors of (d\/(-60)*24)\/((-1)\/(-35))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444220103 (base 5) to base 6.\nAnswer: -105404432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 25 - 13) + -14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -31170756 to the nearest ten thousand.\nAnswer: -31170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 20440.\nAnswer: -17\/20440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 812.414 - 763.4. Let t = 49 - v. Let a = 0.087 - t. What is a rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*s**2 - 9814*s + 1 + 9812*s + 1 to the form o*s**2 + x + m*s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 915 - 913 - (0 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u - 4. Let c(r) = -35*r + 15. Let p(x) = 4*c(x) + 15*j(x). Let z(o) = -12*o**2. Give z(p(v)).\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.070206.\nAnswer: 2.929794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -4*k + 0*k**2 + 0*k**5 - 4\/15*k**6 + 0*k**3 + 0 - 1\/3*k**4. What is the third derivative of p(n) wrt n?\nAnswer: -192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15239698 a multiple of 853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 743566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7576 - -7633. What is the greatest common factor of 12939 and r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - 2*z + 0*z + 11357*z**2 - 2*z - 7. Let x be n(-9). Round x to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + v - 10, v = r - 2 - 6. Let s be (-69)\/(-15) - r\/10. Let a(n) = -n**2 + 3*n - 3. Give a(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**9\/5040 + z**8\/2800 - 2*z**3 - 8. Let c(a) be the third derivative of n(a). Determine v, given that c(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969276945?\nAnswer: 3, 5, 7, 13, 179, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2249962 to the nearest integer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -105, -106, -37, 126?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(1088) + -4)**2 + (sqrt(1088) - 6*(sqrt(1088) + -1)) + 3.\nAnswer: 72*sqrt(17) + 1146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 111?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 384 + -382.13. Let h = n + -1.6. Let l = -0.47 + h. Does l = -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, 10, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55 + (0 - 0) - -1) + (213 - (-105 - -310)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33284*d + 33224*d = -1380 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-525)\/(-60) - 2\/(-8). Suppose h - o = 170. Let t = h + -19. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 7375852.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21436 - 21638.94. Let y = o + 205. Round y to 1 decimal place.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40371 divided by -5.\nAnswer: 40371\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 22*v**2 + 59*v - 11. Let a be r(19). What is the remainder when 138\/4 + a\/(-18) is divided by 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62852600 divided by -15713150?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.7 and -149.\nAnswer: 551.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 7. Let t be w(-5). Let m(h) = 3*h + 8. Suppose 4*c = -p, -10*c + 7*c = 3*p - 45. What is the lowest common multiple of p and m(t)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 243.76647916 and -4.4.\nAnswer: 239.36647916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4350043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9723931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 702*s = 1084 + 12956 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-52)\/24). Let y(u) = u**3 - 83*u**2 - 81*u - 251. Let l be y(84). Which is the nearest to l? (a) d (b) -3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*16\/(-32)*3*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (85445 + 269*t**2 - 85445)*(-2 - 1 + 5 + (3 + 0 - 1)*(2 - 1 - 2) + (5 + 0 - 4)*(0 - 4 + 2)).\nAnswer: -538*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 7:59 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 15*s**5 + 170*s**4 + 565*s**3 + 530*s**2 + 120*s = 0?\nAnswer: -6, -4, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 2 + (0 + 1 + 0)*(-4 - 3 + 5))*(-2*y + 6*y - 3*y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) + (6\/(-4) - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 991\/3 - 3265\/12. Let r = -59 + p. Which is the third smallest value? (a) r (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5 + 63*d**4 + 933*d**3 - 63*d**2 - 930*d = 0.\nAnswer: -10, -1, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**3 - 36*v**2 - v - 5. Let m(n) = -n**3 + 7*n**2 + 1. Let h(w) = 2*b(w) + 11*m(w). Let d be (-3 - -4)*(3 + 3 - 3). Calculate h(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -252 - -262. What is the nearest to -5 in -3, 0.1, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 j, and 1 z when four letters picked without replacement from {z: 1, j: 5, e: 3, k: 5, s: 4}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23025054 (base 6) in base 11?\nAnswer: 440648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-6)*(-398)\/3383*34?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -6\/41 in ascending order.\nAnswer: -6\/41, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -20 + 45 + -33.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 288647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1763 - 1678?\nAnswer: -2ddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399201087?\nAnswer: 3, 23, 5785523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2. Suppose 0 = -3*y - 0*y - 6. Determine o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1576975 is divided by 108?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + g + 9082. Let y = -7063 + g. Is (38 - 40) + y\/(-1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 4*m + 32 = 0. What is the remainder when 38 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 0.0218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 3. Let v(k) = -k. Calculate -d(c) - 3*v(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7630, -15259, -22888, -30517, -38146?\nAnswer: -45775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139\/10 - -14. Let z(j) be the second derivative of -g*j**5 + 2*j + 1\/2*j**3 + 0 + 0*j**2 + 0*j**4. What is the second derivative of z(p) wrt p?\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 3*l - 4. Calculate z(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205 - -224. Suppose -x + 1 = b, v*b - 14*b = 2*x + 5. Solve t + 24 = -4*g, -2*g + t - 6 = -x*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5886, 12388, 18900, 25428, 31978, 38556, 45168?\nAnswer: 51820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21567 divided by 13596.\nAnswer: -7189\/4532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 28*t - 9144 = 0. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10423*o + 960*o + 967555 = 0 for o.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1090 + 1108. Suppose -2*q + 24 = -0*q. Let d = f - q. Solve 4*n - d = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 5*k - 2. Let l be a(-2). Let h = -1 + 0. Sort l, h, -5 in ascending order.\nAnswer: -5, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20962468157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12918136 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))\/(j*j*j\/j**9*j*j))**(2\/21) assuming j is positive.\nAnswer: j**(46\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -2, 37, 92, 169?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 950, 3831, 8626, 15329, 23934, 34435, 46826?\n\"Answer: -z**3 + 963*z**2 - z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -56\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22366 or 22367?\nAnswer: 22367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -0*w - 18. Let i(j) = -j**2 + 0*j**2 + 3 + 952*j - 958*j. Calculate the lowest common multiple of 1 and i(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1922\/7 - 18*o**2 - 2\/7*o**3 - 2046\/7*o.\nAnswer: -2*(o + 1)*(o + 31)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 1798, 3470, 5142, 6814?\nAnswer: 8486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 9952*p - 9952*p + 5*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 7*j - 11. Let s be h(-8). Let r(n) be the first derivative of n**4\/4 + n**3 - n**2 - 2*n + 2. Let t be r(s). Are 2 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**2 + 180*p - 185 = 0.\nAnswer: -37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5872024?\nAnswer: 2, 734003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19784248 by -7.\nAnswer: 19784248\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (6 - (-9 - -13)) - -27) + -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.012.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 13) to base 6.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 3*b + 4*n - 4 = 0, -4*n = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.99 + -0.01. Let z = 1\/41 - -79\/123. Suppose 326*f - 5 = 325*f. Which is the third biggest value? (a) p (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 12376729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -128 (b) -4\/3 (c) 4 (d) -0.02 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let l be v(5). Let q = l - -9. Let c(f) = f**2 + f + 4. Calculate the remainder when c(0) is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000206203092 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*b - 7*b = 0. Suppose b*c + c + 840 = 3*q, -2*c + 1110 = 4*q. Is 31 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000211 (base 3) to base 10\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 2. Let z = -0.07 - -0.57. Let n = 2 - 3. Which is the closest to n? (a) -0.4 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 614 + 32. Let y = p - 27776\/43. Let k be (-10)\/12*(-4)\/10. What is the third smallest value in -4, y, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37424418 - 26775582. Round m to the nearest 1000000.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/13 + 5500*n\/13 - 3781250\/13 = 0. Calculate n.\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - 1 - (-50 + 28 + 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o + 3. Let j be b(4). Suppose -5*l - j + 66 = 0. Suppose 5*f + 21 + l = c, -c = 2*f + 3. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 969.9 * -115\nAnswer: -111538.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 7. Let r be i(-6). Let a be -2 - -5*(0 - r). Solve a*s - 4*v = 23, 2*v + 15 = 2*s + 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 - 7*n + 2. Let x = 39 - 26. Suppose 3*a - 4 = -5*j, -3*j - x - 23 = -3*a. What is the tens digit of h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.1009808*0.1.\nAnswer: 0.21009808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -542\/595 - 3\/170. Is -2 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 3*y - 1. Let o be z(-4). Let k = -106 + 108. Suppose 0 = -k*p + o*p. Is -1 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 22. What is the biggest value in -2, 3, o, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.964 - 36. Round j to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*d = -160*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 9) to base 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12635 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*12\/(-56) + 5425\/13230. Which is the third smallest value? (a) -0.2 (b) 0.2 (c) y (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1162 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + sqrt(228)*1 + sqrt(228))*-3 - 5*-3*sqrt(228))\/((-6*1*sqrt(120) - sqrt(120))\/(6*-1*sqrt(10) - sqrt(10))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(((-32)\/(-5168))\/(88\/374))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6540, 26130, 58770, 104460, 163200?\n\"Answer: 6525*u**2 + 15*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89678262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3325213030482*j**3\/13 - 3325202715114*j**2\/13 - 10315360*j\/13 - 8\/13 = 0.\nAnswer: -2\/1289421, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71523352 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/49 - (-11)\/(-21))*-3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/3, 0, -4, 3, -2\/81?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-36))\/((-4)\/18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 132 = 8*g. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 221*o**2 - 7*o - 10. Let f(g) = 221*g**2 - 9*g - 12. What is -5*f(b) + 6*u(b)?\nAnswer: 221*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6031 and 2923731.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 3*z + 19 = -4*h, -3*z + 35 = 4*h. Let l(m) = -h*m + 10*m - 5*m - 4*m. Let t(w) = -17*w**2. What is l(t(d))?\nAnswer: 119*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 28 = -40. Let f(q) = -q - 3. Let j be f(-9). Calculate the remainder when g is divided by (j\/(-4))\/((-12)\/80).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71.3 + 71. Which is the nearest to -0.1? (a) s (b) 5 (c) -0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111100 (base 2) to base 14\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 3*t**2 - t + 7. Let z be h(3). Let x = -13 - z. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 15 - 1 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 4a?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(2 + sqrt(243) + 3)*4 - ((3 + sqrt(243) - sqrt(243))*-4 - sqrt(243)*1*-5))**2.\nAnswer: 39600*sqrt(3) + 159619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l + 1. Let g = 1 + -5. Let h(i) = -i**2 + 8*i + 1. Let t(p) = g*a(p) + 3*h(p). Factor t(x).\nAnswer: -(x + 1)*(3*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 20, -3*d - q - 34 = 3*q. Let g = 11 + d. What is the highest common factor of g and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**9\/22680 + q**7\/3780 - 5*q**4\/4 + 17*q. Let l(a) be the third derivative of c(a). Suppose l(b) = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3, 0.3, -5, -14?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65826, 65845, 65864, 65883, 65902?\n\"Answer: 19*t + 65807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*d + 3*t + 2*t, 5*d - 2*t = -19. Suppose -5*c = 3*s + 4, 85*s + 13 = 4*c + 82*s. Let j be -1 + (2 + c - d). Let r(b) = b - 11. Determine r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 31305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774 = -4*l - 782 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223858*i - 163872*i - 118996*i + 144008*i.\nAnswer: -362718*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -56 in descending order.\nAnswer: 0, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1372 and 81\/308?\nAnswer: 15092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (649\/(-118))\/(6\/12*1\/(-1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/161 and 64\/63?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*p, p + 45 = -l + 5*p. Let u = l - -120. What is u rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 7*z**2 + 4. Let s be x(7). Suppose 6 = -2*t - k, -2*t = -3*t + 3*k + s. Let f(g) = 13*g**2 + 1 - 2*g + 13*g**2 - 27*g**2. What is f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -216*n + 16. Let s be o(-1). Suppose l + 5*m = s, -18 = l - 4*m - 250. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/1*6\/(-4). Let i be (t\/516)\/(3\/(-4)). Is i greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184617 a multiple of 176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16671089.\nAnswer: 16671089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5702.994m in nanometers?\nAnswer: 5702994000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302618.\nAnswer: 2, 83, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-35 - -28) + 1 + -10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*l + 15, -l = -4*l + z + 14. Suppose 5 + l = 5*n. Calculate the greatest common factor of 8 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -1204406?\nAnswer: 1204409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, w: 1, d: 6, q: 1}. What is prob of picking 2 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 6. Let x(b) = -b**3 + 8*b**2 - 5*b - 10. Let q(y) = 7*y - 5. Let w be q(15). Let d be w\/14 + 2\/(-14). Let r be x(d). Determine z(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 12 = 3*l, l = 3*c + c - 16. Suppose c*g + 3*p = 27, 3*p - 30 = -4*g - g. Solve -g*a = 5*w + 32, -5*w + 2*a + 4 = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233733078.\nAnswer: 2, 3, 12985171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 - 4*c**2 - 16*c - 16. Calculate the remainder when h(-6) is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4416646.\nAnswer: 2, 13, 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (55\/66)\/(((-10)\/(-6))\/1). Let m(v) be the first derivative of -5\/3*v**3 + 4*v - 1\/4*v**4 + 4 - z*v**2. Determine m(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -108 - -110. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45855145 by 6.\nAnswer: 45855145\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 10. Let z be 28\/63 + u\/18. Let x = -14.1 - -13.8. Which is the nearest to 0.1? (a) z (b) x (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -9*z**3 - 203. Let d(h) = -40*h**2. What is 5*d(o) - 7*s(o)?\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-14)*(-50610)\/397650.\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 37*o + 218. Let j be q(-6). Let w(y) = 1 + 5*y + y**2 - 2 - 3*y. Calculate w(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b**2 + 8*b + 375. Let m(t) = -5*t**2 - 2*t - 133. Let h(y) = 17*m(y) + 6*r(y). Give h(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258870.1228 rounded to the nearest 10?\nAnswer: 258870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 6*q**2 + q + 6. Let d be a(6). Suppose 0 = 2*p - 0*p - d. Calculate the highest common divisor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 10, -256 = -5*s + 2*s - 5*x. What is the lowest common multiple of s and 2?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1850 and 1295.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -202*d**3 + 23*d**2 + 12*d - d + 2 + 37*d**3 - 11. Let c be y(7). What is c rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*z = -4, -2*g + 2*z = 3*z - 10. Let l be 1*(-7)\/(7\/(-2)). Solve 5*c - 2 = 4*f, 5*c - 2 = l*f + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -847 or -43208\/51?\nAnswer: -847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*999396.\nAnswer: -4996980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 s, and 1 l when three letters picked without replacement from {i: 1, x: 6, s: 3, l: 1, q: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - 1*sqrt(136)*-1) - sqrt(136))\/sqrt(8).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - ((-231 - -79) + 60)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140.7826 + 0.0174. What is a rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-6)*69\/322. Let b be 1\/(-4) + (-2)\/8. What is the closest to b in 0, c, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from ccccccscccccc?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**3\/13 - 125490*d**2\/13 + 1255082*d\/13 - 1129590\/13 = 0.\nAnswer: -62755, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-232698)\/10*1\/(-6). Let v = 4882 + -1010. Let r = v - l. What is the common denominator of 75\/14 and r?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -3*q - 3, -x - 3*q - 7 = 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 133 and 1.5?\nAnswer: 131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31415 - -71035. Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*j**3*s*x**2 + j**2*s*x**2 - 3*j**2*s + 3*j*s*x + 2*j*x**2 wrt j.\nAnswer: 384*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, 5, 1\/2, -10 in ascending order.\nAnswer: -10, 4\/9, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 136 + 121*z + 134 - 270 as h + n*z and give n.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1735839 and 3068.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-608)\/(-95))\/(2*3\/15). Suppose -4295 = 11*v - b*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i*o*p - 14*i*o - i*p**2 - 11*o*p**3 + 459*o*p**2 - 8*o*p + 2*o wrt p.\nAnswer: -2*i - 66*o*p + 918*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:24 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 59371826.\nAnswer: -5\/59371826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29400150 is divided by 9800042.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 7. Let k(a) be the third derivative of a**4\/24 - 4*a**3\/3 + 82*a**2. Let n = 0 + 6. Calculate n*h(c) - 5*k(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12741378 and -8289333.\nAnswer: -21030711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51499 + -51497. Let 128\/3*u**5 + 1688\/3*u**3 - 1120\/3*u**4 + 184\/3*u - 14\/3 - 866\/3*u**n = 0. What is u?\nAnswer: 1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**3\/11 - 974*g**2\/11 + 32754*g\/11 - 10810\/11 = 0.\nAnswer: 1\/3, 47, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*n + 928 = -321*n for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142 + 91. Let k = -30 - x. Let c = 38 - k. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54581 = -81*n - 55067 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*o = -162, 0 = o - 2*o - 4. Suppose q + 156 = 2*i, i + 4*i + 3*q - 357 = 0. Let b = t + i. Solve 0 = -0*h - 5*h - b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 10:50 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12959 + -12950. Let u(o) = 16*o - 2. Let j(z) = 8*z - 1. Calculate v*j(m) - 4*u(m).\nAnswer: 8*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1239 - 3?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 254*z - 1242. Calculate the lowest common multiple of 675 and i(5).\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let i(w) = w**2 + j*w**2 - 2*w**2. Let n(u) = 445*u - 1337*u + 441*u + 444*u. Determine n(i(x)).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -43. Let d(g) be the first derivative of 2*g**2 - 25*g + 12. Calculate d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 11) to base 6.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -282 in 2, -1046, 0.4, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9222 + 21256. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.108 + 5.892. Is 21 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 2*f - 3*f)*(-3 + 0 + 2)*((6*f - 3*f + 0*f)*(0*f - 1 + 0*f + f) + f**2 - 2 + 2 + (3*f**2 - 4*f**2 + 2*f**2)*(4 - 2 - 4)).\nAnswer: 6*f**3 - 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4888.699 decades in centuries?\nAnswer: 488.8699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 + 13 + 9)*(-7*b + 7*b + 2*b**2 + (3*b - 4*b + 3*b)*(3 - 3 + 2*b)) to x + n*b + h*b**2 and give h.\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -274594 or -274703?\nAnswer: -274703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 56, -0.16, -22, 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + 4. List the prime factors of q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23538, -23518, -23492, -23460, -23422, -23378, -23328?\n\"Answer: 3*z**2 + 11*z - 23552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.39 or -1\/3?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*o**2 + a**2*o - 2*a**2 - 250*a*o**2 + 2*a*o + 23*o**2 - 29176*o wrt o.\nAnswer: -2*a**2 - 500*a + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y - 51. Let v be p(-19). Let t(c) = 372 + c**3 - 373 - 7*c + 0*c**3 - 4*c**2. What is t(v)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2361236 and 4722472.\nAnswer: 4722472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 + 39*o**2 - 1087*o + 1087*o + (4 + 2*o**2 - 4)*(2*o - 2*o - 2*o).\nAnswer: -3*o**3 + 39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5885.748 - -2.9?\nAnswer: -5882.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w - 1194 = -24*w - 244 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/64 - (-27)\/(-24))\/((-69)\/(-322)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from {k: 4, n: 2, m: 6}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 25, 0*q - 15 = 5*y + q. Let o be -1 - (2432\/y)\/(-4). Let i be (1600000\/6)\/((-6)\/o). What is i rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 7*l**2 - 36 + 32 - l**3 + 5*l. Let x be y(-8). Suppose -p + 0*p + 24 = 0. Solve -x*b - g + p = g, 0 = 3*b - 2*g - 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*o - 89*o = -5*k + 20, 2*o = 3*k + 7. Calculate the remainder when 17 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 + 34*g + 114. What is p(-5)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 613*g + 145*g + 1489*g. Let s(x) = x**2. Give s(r(z)).\nAnswer: 5049009*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -855 divided by -59?\nAnswer: 855\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -46678 != -46679?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*a + 2*a - 2*g, -g = 2*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1143*z. Let s(j) = 2*j**2 + 2*j - 3642. Give s(v(y)).\nAnswer: 2612898*y**2 - 2286*y - 3642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 7*b + 2*b)*(0 + 2 + 0 + (-5 - 3 + 3)*(-3 + 0 + 7)).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from lnnnsllnlnnnlglngw?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -50 (b) 0 (c) -3\/7 (d) 2\/5 (e) 2 (f) 2\/3 (g) -1.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 16914?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*z - 504 = 29*z. Suppose 0 = -4*k - z + 60. Is -3\/52 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2ae + 20f?\nAnswer: -9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1952 divided by 4\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02127 times 0.2?\nAnswer: -0.004254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 3, s: 7, t: 3, e: 3}. What is prob of picking 2 r, 1 e, and 1 w?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -1)*(-608)\/(-26600)*(-3 - 2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -1)*(-38)\/(-152)*-1. Are 83\/7 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168936 divided by 56312?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -884840*i - 79. Let t be m(4). Let w = -2078439 - t. Round w to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -3\/544, -43?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -37, -72, -147, -274, -465, -732?\nAnswer: -1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1574 = 1094. Calculate the least common multiple of w and 16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*7*(-120)\/28?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.08, -0.2, 457?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621850?\nAnswer: 2, 5, 12437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 5. Suppose 4*s - 21 = -a, a + y*s = -a + 30. Solve -3*k - 2*k - a*c - 20 = 0, -3*k = 5*c + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29323005*k + 24121701 with respect to k.\nAnswer: 29323005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -25)*1\/(-1). Let j = 2 - w. Suppose 192 = 4*f - j. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 49*l + 1. Let t(w) = -122*w - 2. Let a(h) = -12*b(h) - 5*t(h). Let x(s) be the first derivative of -s**2 - 144. Determine a(x(j)).\nAnswer: -44*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 1. Suppose 4*m - 31 = -5*x, -4*m - l*x = -8*m + 1. Let v = 1 + -1. Solve 5*w - w + m = v for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g)**(-2\/57)\/(g**(-3\/4)\/g*g\/((g*g\/g**(-3)*g*g*g)\/g*g*g)) assuming g is positive.\nAnswer: g**(2231\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1926.1424 - -0.1329\nAnswer: -1926.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - (2 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384551 is divided by 6866?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 92373114 to the nearest integer?\nAnswer: 9611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 5. Let j = -30 - -34. Calculate i(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 0*c - c)*(0 + 0 + 1 + 0 - 1 + 2 + (-13 - 9 + 26)*(-1 - 3 + 2)) as z*c + f and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-1\/3)))\/(r\/(r\/(r\/(r*r*r**(-9\/8)*r*r))*r)) assuming r is positive.\nAnswer: r**(101\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, d: 2, u: 1, b: 2}. Give prob of sequence xdu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6054*i**2 - 214*i**2 + 5 - 5 + 5498*i**2)*(-3*i + i - 2*i).\nAnswer: -45352*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(143) + sqrt(143) + sqrt(143))*4)\/(sqrt(121)\/(sqrt(11) + sqrt(33)\/sqrt(3))))**2.\nAnswer: 29952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-49) - (-1)\/(-7) - -546. Suppose 4*o - 34 = m. Let z = -84 + o. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 217, 1079, 2515, 4525, 7109?\n\"Answer: 287*h**2 + h - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 8 = -9*c. Suppose o - 3*o - 2 = c, -5*o - 75 = -2*g. What is the remainder when g is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*o + 39 = 0, 83 = -5*s + 2*o + 9. Let n be ((-3)\/2)\/(s\/192). Let m = 71 - -1. Calculate the greatest common divisor of n and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 + 5*c + 25. Let d be m(-5). Solve 4*o + 12 = d, -5*o + 0*o - 7 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 46 + 27*d**2 - 18*d + d**3 + 68*d - 45. Let v be g(-25). What is the nearest to v in 4, 7, -4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, 0.4, -159.37, 81, -5 in descending order.\nAnswer: 81, 0.4, 1\/17, -5, -159.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 52. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315660 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1034990 and 3520.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 13, 2, -2\/9, -1\/12, -10 in descending order.\nAnswer: 17, 13, 2, -1\/12, -2\/9, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 1110896.\nAnswer: 14441648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*c**4*f + 11*c**3*f*n**2 - c**3*n**2 + c**2*f*n**2 - 9*c**2*n + 2*c*f*n**2 - 2*f*n wrt c.\nAnswer: 264*c*f + 66*f*n**2 - 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336\/28 - (-411 + -14) is divided by 116?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ca5b8 - f?\nAnswer: -ca5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 488 and 6100.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-243)\/891 + -6*25\/55.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 5, 0, -69.\nAnswer: -69, 0, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190617 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k + 220 = -452. Is 102 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 9. Suppose -4*u + 5*u - 2 = r. Suppose -2*p + 6 = -u. Solve -8*c = -p*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13384? (a) -4 (b) -2\/5 (c) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - h - 4)*(-2 - 5 + 5) + (2 + 2 - 1)*(-h - h - 5*h) + 5*h - 4*h + h.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*3\/12*0. Suppose -z + 16 = -c*z. What are the prime factors of z\/(-5)*(-15)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -2 (c) -4 (d) -19\/5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 3*b - 3. Let y be (51\/9)\/(2\/6). Let p = y - 11. Let c be p*(2\/(-3))\/(-2). Give z(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682987?\nAnswer: 367, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/18)\/25*(6 - 18\/4)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**2 + 9*f. Suppose -50*r = -54*r + 104. Let l(i) = 2*i**2 + 2*i. Give r*l(h) - 6*s(h).\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/210)\/((896\/(-80))\/(-28)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -282638, -565309, -847980, -1130651?\n\"Answer: -282671*k + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 152 = 722. Which is greater: -284 or h?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2062 + 2063. Let g = -447 - -7597\/17. What is the biggest value in 2\/5, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(3\/8))\/q**(-26) assuming q is positive.\nAnswer: q**(213\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 611663331 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -16*r**2 + 765*r - 738. Let c(a) = -7*a**2 + 381*a - 369. Let m(w) = -11*c(w) + 5*d(w). Let m(o) = 0. Calculate o.\nAnswer: -123, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - 7\/((-28)\/16). What is the highest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575051 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i - 15*i = -3*n + 11757, 0 = -n - 4*i + 3919. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 3. Let x be h(3). Let j = -4516.4 - -4516. Which is the second biggest value? (a) x (b) j (c) 0.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7917000.908564 less than -0.2?\nAnswer: -7917001.108564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*p - 19*p - 32. What is the greatest common divisor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.665 - -3.664992138. What is u rounded to seven decimal places?\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-3\/14))\/(a**(2\/15)\/a)*a\/a**(1\/5)*a*a\/(a**(-6\/7)\/a)*a assuming a is positive.\nAnswer: a**(325\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/60 - o**3\/2 + 2*o**2. Let v(r) = 4*r**3 + 7. Give 14*b(f) + 6*v(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*n + 5712 = -121*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 12*l**2 + 12*l + 18. Let x be q(-12). Let v = x - -275. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6106 or -6192?\nAnswer: -6106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -134\/7 > 67922?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*g + 37 - 14, -3*d + 9*g = 33 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6636 is divided by 97?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4889 is divided by 361.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 400 + 0*h**2 + 7*h**3 + 3*h**4 + 204 + 197 in the form n + s*h + k*h**3 + d*h**2 + p*h**4 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.726258274 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -97, -81, -65, -49?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p - 19 + 19)*(1396 + 274 + 478 - 270 + 220).\nAnswer: -10490*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txfk when four letters picked without replacement from {l: 3, x: 5, f: 4, k: 2, t: 5}?\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4490 = -33*p + 4655. Suppose -5*t + 0*t = -25. Solve t*j = -4*w + 5 - 13, 2 = -w - p*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 5768 = 7900. Let g = 888 - x. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 33*d**2 - 34*d + 64. What is l(32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 16*m - 10. Let k be j(-6). Let h(w) = -9*w**3 + 8*w**2 - 8*w**2 + 7*w**3 - k*w + 8. Let v be h(0). Solve 2*u = -2*u - v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = k + 8605, 116*m - 109*m - 12079 = -5*k. Is 125 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -58297117.\nAnswer: 291485585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + 28\/10)*10. Suppose 45 - 9 = -4*c. Calculate the remainder when z + (-24)\/108 + (-20)\/c is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.013655*10.\nAnswer: 0.13655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146739?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -2 + (-96 - (-142 - -160))\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/60 - 281*g**2. Let v(n) = 189*n. Give s(v(d)).\nAnswer: -35721*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-3 + 2))*-1. Suppose q - 11 - 1 = i. What is the highest common divisor of q and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/(-7) - -2)\/((-12)\/(-756)) + -2. Which is greater: -620\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 8*x - 2. Let o be b(-8). Let i be 4\/o + (-15)\/(-3). Factor -t**3 + 1 + 0*t**4 + 5*t**i + t**4 + 11*t**2 - 5*t**2 + 4*t.\nAnswer: (t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - k - 4. Let o = 2 - k. Suppose o*r - 25 = 107. What is r rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -21 - -4 - 4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i*i**(-2\/29))*i*i)*i**(1\/5)\/i)**(-46\/7) assuming i is positive.\nAnswer: i**(19136\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -205*w. Let u(a) be the first derivative of a**5\/30 + a**2 - 128*a - 218. Let h(q) be the second derivative of u(q). Give t(h(n)).\nAnswer: -410*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210069 + 202853 = 88*z for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 - -16. Suppose -5*n + 3*y = 9, 20 = -4*n - 3*y - y. Let s = w - n. Solve s*v + 2*v + 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*i - 1290, 62*q + 1293 = 2*i + 61*q. Which is smaller: 645 or i?\nAnswer: 645","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332.094 tonnes in grams?\nAnswer: 3332094000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k - 3*k - 1 + 6*k. Suppose -15394*v - 24 = -15388*v. Calculate d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -43.95 and -0.3.\nAnswer: -44.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470226 and 202958.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(833) - (-1 + sqrt(833) - sqrt(833)) - sqrt(833) - sqrt(17)) + -2 + sqrt(68).\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165261 + 49082575\/297. Find the common denominator of n and -39\/10.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 5*h - 24. Let s be (-724)\/(-8) - (-9)\/h. Is s greater than 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*h**5 - 1252*h**4 + 442*h**4 + 322*h + 452*h**4 + 3*h**5 + 405*h**4 wrt h.\nAnswer: -40*h**3 + 564*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 896\/11*w**4 + 122\/11*w**3 + 98\/11*w**5 - 36\/11*w**2 + 0*w = 0.\nAnswer: -9, -2\/7, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -1. Suppose 11 = 2*l - 5. Let v = l + -9. Sort k, 2\/3, v in decreasing order.\nAnswer: 2\/3, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7379342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 18 = -2*s, -9109*y + 9111*y - 22 = 3*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 13*k**2 - 3*k - 3. Let d be w(3). Suppose -5*q + 255 = -d. Suppose -5*f = -f - q. What is the greatest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*g, q + 4*q + g - 13 = 0. Suppose q*c - 3*c = 166. What is the tens digit of (c\/(-4) - 0)\/(2\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqfqfqfqqfqfffffqqqf. Give prob of sequence fqqf.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6173, 12315, 18457, 24599?\nAnswer: 30741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 52*y**2. Let j(d) = 3*d. What is j(w(r))?\nAnswer: 156*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**2 - 17*j + 86. What is the lowest common multiple of 576 and v(7)?\nAnswer: 9792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 8169496305544\nAnswer: -8169496305543.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 398479.\nAnswer: 79695.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502582*b**3 + 167525*b**3 + 167526*b**3 + 167529*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 725*r**3*z**4 + 62*r**3 + 8*r*z**4 + 43*r wrt z?\nAnswer: 2900*r**3*z**3 + 32*r*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 10*w + 5*w + 6*w - 33*w + 10*w in the form x + z*w and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3953473730 rounded to the nearest 1000000?\nAnswer: 3953000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 335144355 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a + 14. Let f(r) = -r + 6. Let q be f(3). Suppose -q*g + 15 = -i, -2*g + 5*i = 2*i - 10. Does 9 divide k(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18297151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 38*n + 8 - 18 as z*n + i and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 2:11 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56338, 225337, 507000, 901327, 1408318?\nAnswer: 2027973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-34)\/(-3))\/(18\/(-27))*340\/(-68). Solve 215*s + j = 198*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/6)\/(1\/1*-1)*1970\/(-197).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 466 divide 4954742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/4)*r)**(-4\/21)*r**(-3)\/r**(2\/7) assuming r is positive.\nAnswer: r**(-76\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8732579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -2b?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/6 and -111\/6560?\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5077 + 5075. Which is the biggest value? (a) 4.4 (b) -0.5 (c) 0.2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/(95\/60))\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 758, 1515, 2318, 3191, 4158, 5243, 6470?\n\"Answer: 4*q**3 - q**2 + 732*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404122402 (base 6) in base 5?\nAnswer: 3232303114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298747.\nAnswer: 23, 31, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*g - 462 = 0, 15*w = 22*w - 5*g - 1595. Is 182 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**3 - 125218*b**2 + 12372980*b + 6217794 = 0.\nAnswer: -31403, -1\/2, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/5 - 53*v**3\/5 - 1363*v**2\/5 + 6101*v\/5 - 4686\/5 = 0. Calculate v.\nAnswer: -22, 1, 3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 13. Let g be b(-6). Let u(x) = -2*x**2 + 10*x - 2*x - 15 + 14*x**2 - x**3 + g*x. What is the units digit of u(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 102.412 (c) 2 (d) -0.4 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9\/(-15)*(-45 + 0) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1 - 2*j**2 + 5*j - 1. Let p = 23 + 7. Suppose -2*t + p = 4*t. Let i(c) = c. What is t*i(a) - w(a)?\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**3 - 5*y**2 - 69*y + 399. Calculate the remainder when x(5) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -144230*p. Let f(u) = 3*u. Give f(k(h)).\nAnswer: -432690*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*q - 77, -4*y - 65 + 249 = -4*q. Let s(k) be the first derivative of y - 29*k - 63 - 22*k**2 + 0*k. What is the first derivative of s(c) wrt c?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 139 - ((1 - 2) + -2). Let i = y + -120. What is the greatest common factor of 154 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -10\/7 (c) 2\/19 (d) 4 (e) -7 (f) -146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120 is divided by (37\/(-5))\/(((-44)\/(-20))\/(-11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (11 + -9 + (8 - -4))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 640870992?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n - 1700. Let p(f) = 2*f. What is q(p(m))?\nAnswer: 12*m - 1700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -23*m + 37. Solve m = -23*i + 26*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 3534 - 2*y**2 + 3531 - y + (4*y - y - 2*y)*(-y - 4 + 4) - 2*y**2 - 4*y**2 + 4*y**2)*(-1 + 2*y + 1) to g*y + l*y**3 + w*y**2 + z and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*((-68)\/20 + 4). Let b(x) = x + 3. Let t be b(q). Suppose 0 = v - t*v + 40. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -21\/5207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1898550741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 - i - 4679. Let z be m(0). Let r = z + 8668. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/5802 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39788 is divided by 4949?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -1\/30*y**5 + 1\/8*y**4 - 4*y**2 + 0*y - 4 - 1\/6*y**3. Factor r(s).\nAnswer: -(s - 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3*p + 19, -4*p = -64*z + 62*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.36707275 to two dps.\nAnswer: -7.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 12285544.\nAnswer: 49142176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -651 + 925. Let p = b + -1374\/5. What is the biggest value in -1, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4797.638 and -0.5.\nAnswer: 4797.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18640 - -27721. Let n = y + -9081.07331. What is n rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 26*p**2 + 84*p + 419. Calculate l(-5).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 7:48 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 722 + -725. Let t(r) = 2*r + 8. Calculate t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*r + 35 = 5*j, 4*j + 2*r = 30. Let f(o) = o**3 - 7*o**2 - 8*o + 5. Let l be f(j). Which is the smallest value? (a) -5 (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -618666 by -6.\nAnswer: 103111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.967 - 4.703. Round s to one dp.\nAnswer: -18.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/240 - r**5\/120 - r**4\/24 - 4*r**2. Determine a, given that n(a) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1*n**(2\/7) assuming n is positive.\nAnswer: n**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, -122, -10, -1 in descending order.\nAnswer: 8, -1, -6, -10, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + 0 + sqrt(2736) + -4 + sqrt(2736))**2 + -2.\nAnswer: -32909 + 720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -2)\/(3\/6). Let u(d) = 3*d**3 - 2*d**2 - 2*d + 1. Give u(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -358684.275 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77596 greater than 77597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 522.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2835, -3, -2\/11, 0.1 in descending order.\nAnswer: 2835, 0.1, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 6, 0 = 4*w + 5*d - 418 - 11716. Is 30 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 less than -1812.6?\nAnswer: -1788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 4*k**2 + 6*k - 6. Let b be w(5). Let c be (b - -2)*-1*2. Let r(s) = -5*s + 5. List the prime factors of r(c).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-28)*x)\/(x*x**(-3\/19)*x) assuming x is positive.\nAnswer: x**(-548\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10528378 divided by -17489\nAnswer: -602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d + 17. Calculate x(14).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 261*g**2 + 11533*g - 10857. Give s(205).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5867380 is divided by 130386.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y - 89. Let h(r) = -6*r - 45. Give -7*h(s) + 4*p(s).\nAnswer: 2*s - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = 2*i + 165. Let u be (-1784)\/(-6) - 1\/3. Let m = u + i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**5 + 3*g**3 + 384*g**2 + 7464*g - 1 wrt g.\nAnswer: -20*g**3 + 18*g + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ea9 + 0?\nAnswer: 5ea9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3681 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 4*u)*(-7*u + 5*u - 5*u)*(-1 + 2 + 1).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029616745.\nAnswer: 5, 19, 619, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 + 68*s**2 + 284*s - 39. Determine w(-4).\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/16*2\/(-6)*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 1 - 7\/2*f**2 + 0*f. Let s(j) be the second derivative of j**3\/6 + 9*j. What is l(s(d))?\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 10886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249644 by -10.\nAnswer: 124822\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21556 or 21548?\nAnswer: 21556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 1242122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) -1\/3 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6621476843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-2\/7)*n**(1\/4)\/n)**(-30) assuming n is positive.\nAnswer: n**(-225\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10847751 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5277843249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201.754 - 202. Let j = n + -0.046. Let c = j + 0.26. What is c rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -80.85? (a) -128 (b) -2\/7 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273158, -545507, -817856, -1090205, -1362554?\nAnswer: -1634903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18301 + 494198\/27. Let f = -604\/9 - -10235\/153. What is the common denominator of f and j?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2)*i*i*i))\/i*i**(-3)*(i**5*i)\/(i**(-2\/7)*i) assuming i is positive.\nAnswer: i**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1357a (base 12) to base 14\nAnswer: 9a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -0.36. Let n = 98\/5 - 1676\/85. Let h = 47\/34 - n. Which is the closest to 0? (a) h (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -237400 + 237400 - 211*a**4 + 3*a - a**4 - 3*a + (4*a**3 - 3*a**3 + a**3)*(a + 2*a - a) - 3*a**2 - 2*a**4 + 3*a**2 - 2*a**4 + 3 - 3.\nAnswer: -212*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11945\/7 + 1700. Let m be 8\/20 + (-763)\/(-5). What is the common denominator of (7\/(-18))\/(3\/m) and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhe when three letters picked without replacement from ukaddeh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -33*d**2\/2 + 2429. Let o(s) = 20*s. What is o(t(v))?\nAnswer: -660*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*z**6 + 18312*z**5 + 3*z**4 - 327*z**2 - 18312*z**5 + 2169*z**2 + 6*z**6 wrt z.\nAnswer: -2400*z**3 + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/10 - 3*s**2 + 10*s. Let n(g) be the first derivative of f(g). Let o(w) = -16 - 14 + 3*w + 30. What is n(o(x))?\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/14 + (-9)\/21.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-485)\/(-194))\/(1\/4*-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -536.207593 rounded to the nearest integer?\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3) + sqrt(3) + 1)**2 + (2*sqrt(12))\/sqrt(4).\nAnswer: 6*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 1580*j - 1585.\nAnswer: 5*(j - 317)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07289 rounded to three dps?\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -5, 5, -1.3, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.462 * 128500.\nAnswer: 187867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-288)\/40) + -8 + 4816\/70\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -2 - (6 + (-5 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d - 26. Let c = -46 - -102. What is the remainder when c is divided by s(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*sqrt(243)*2*-4 - ((sqrt(243) - (-3 + sqrt(243)*-2 + sqrt(243))) + sqrt(243) + (-3*-2*sqrt(243) - sqrt(243)))*-3)**2.\nAnswer: -2016*sqrt(3) + 15748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1246*f**3 - 3576*f + 3576*f + 378*f**3 - 817*f**3.\nAnswer: -1685*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let n = -22 - -20. Let p be g(n). What is the nearest to 11 in p, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.78083 - -0.22447. Let l = h - 22. What is l rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1900) + 1))**2 + 1.\nAnswer: 80*sqrt(19) + 7605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v + 2. Determine g(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t = -t. Let d(v) be the first derivative of t*v + 5 - 4*v**2 - 4\/3*v**3. Factor d(q).\nAnswer: -4*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3\/58 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -750 divided by 90.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2175450, 4350903, 6526358, 8701815, 10877274?\nAnswer: 13052735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 4*y - 91 + 115, 3*y = 2*l + 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*g = -17, 5*i + 15*g - 19*g - 15 = 0. Let u(n) = -3*n**3 + n**2 + n + 1. Let a be u(i). Solve 0*z + 4*z = -a*x, -4*z = -5*x - 36 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191 <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6063, 48891, 165145, 391539, 764787?\nAnswer: 1321603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxqxxqxx. What is prob of sequence xxqx?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 17*l**2 - 14*l + 22. Let x be w(16). Let b = -442 + 4877\/11. What is the common denominator of 3\/x*1*124 and b?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 (base 9) in base 2?\nAnswer: -100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 - -2?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o + 6*o**2 + 13*o**3 + 0*o**2 - 3*o. Let h(k) = -9*k**3 - 4*k**2 - 3*k. Suppose -13 = -4*c - 1. Let r be (-26)\/4 + c\/2. Calculate r*a(u) - 7*h(u).\nAnswer: -2*u**3 - 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjpo. What is prob of picking 2 p and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(150)*4 - sqrt(150)) + sqrt(150)))\/((1*sqrt(1458) + sqrt(18))\/sqrt(9)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -620 = 62*h + 434 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*s + 16410 - 16894 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 + 3*i + 5. Let n(s) = 3*s**2 - 3*s - 5. Let t(f) = 5*n(f) + 4*r(f). Let c(l) = -3*l**2 + 2*l + 4. What is 5*c(z) + 4*t(z)?\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(18)\/sqrt(2))*6 + -1.\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(392))**2 - sqrt(315)\/sqrt(7).\nAnswer: -3*sqrt(5) + 5\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50981 minus -2965802?\nAnswer: 2914821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 6*p**2 - 6*p - 16. Let s(h) = -2*h**2 - h. Let v(i) = 3*i**2 + 2*i + 1. Let r(j) = 5*s(j) + 3*v(j). Determine -2*c(f) - 11*r(f).\nAnswer: -f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 10:46 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142705878 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {u: 2, z: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 722 and 723 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 66 = -4*a. Let g = a - -17. Which is greater: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 2)*7 - -7. Solve c = 20*l + 85 + 35 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-3\/2)*(q\/(q*q**(-7\/2)))**(2\/35))**(3\/2) assuming q is positive.\nAnswer: q**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -0. Suppose -2*o + 64 = v*o. What is the smallest common multiple of o and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0615 < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14669340 rounded to the nearest 10000?\nAnswer: -14670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -41624*i**2 + 4*i - 54. Give n(0).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 306 and 3519.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:41 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 69\/6*(-10)\/(-5). Let z = p + -24. Which is bigger: 0.9 or z?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 141 and 142 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23276 - -23284. Solve 0 = x*z + 30*z - 304 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 - -1 - (-1 - (0 + -2)) - (-1529 - -1517)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 minus 210?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -4)\/(1 - 0) - 2. Suppose -2*t + 3 + 7 = 2*o, -2*t - 4*o + 16 = 0. Put t, -4, w in decreasing order.\nAnswer: t, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -28*i + 95. Let q be v(0). Solve 15 = q*o - 90*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m**2 + 0*m - 13 - 1\/3*m**3. Let u(v) = 2*v. Let j(t) = -6*t. Let w(o) = 2*j(o) + 5*u(o). What is w(s(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2169, 6, 2, -4 in descending order.\nAnswer: 6, 2, 1, -4, -2169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2. Let i(g) = -20*g + 6. Let k(b) = 7*b - 2. Let w(a) = 4*i(a) + 11*k(a). Let y(c) = c - 1. Let x(u) = 2*w(u) + 4*y(u). Give m(x(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3777 and 300901?\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 31*c + 5. Suppose z - 7*z + 420 = 0. Let x be z\/42*(-12)\/(-10). Is r(x) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13324934?\nAnswer: 2, 7, 951781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 1088*y - 71149. Calculate v(-59).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27450 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r + 20. Determine l(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 591 - 9. Let s = z + -492. Calculate the highest common factor of 144 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132049745?\nAnswer: 5, 89, 296741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -178.5 - -176. What is r rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 35276*u - 7161033. What is w(203)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 1. Let y(q) = -8*q + 4. Let j(r) = -4*r + 2. Let t(n) = 9*j(n) - 4*y(n). Calculate 5*i(b) + 2*t(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - f + 4 + (-1 + 0 + 3)*(0*f + 3*f - 5*f) + f + 4*f - 6*f + 12 - 12 - 3*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -7*x**3 + 4*x**2 + 4. Let r(z) = -15*z**3 + 9*z**2 + 9. Determine -9*c(u) + 4*r(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 358, 381, 406, 433?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 6, -5.\nAnswer: -5, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 534 = -3*d - 78, 0 = -4*q + 5*d + 424. Suppose -x = 2*x - q. What are the prime factors of x?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*b + 61*b - 4*b**3 + 46*b.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -6. Let d(w) = -w**3 + 2*w**2 + 5*w - 6. Let l be d(5). Let s = 58 + l. Sort s, 1, y in descending order.\nAnswer: y, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 1677 - 2*k**2 + 2*k**2.\nAnswer: 2*k**3 - 1677","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 112?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3445 - 1?\nAnswer: 3444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 2?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2219204707.99999948 + 2219204758. Let l = 12.17 + 37.83. Let c = j - l. What is c rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*l + 14*d**4 + 611*d**3*l - 72*d**2*l + 9*d*l - l + 1 wrt d.\nAnswer: -48*d*l + 336*d + 3666*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228.9 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.662 + -6.5142. What is h rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6474, 12944, 19414, 25884, 32354?\n\"Answer: 6470*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 105202702, 210405403, 315608104, 420810805, 526013506?\n\"Answer: 105202701*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s - 5. Let t(j) = -5*j + 2. Suppose 2*u + b = -5, -3*u - 9 + 0 = b. Let a(f) = u*h(f) - 9*t(f). Calculate a(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6 + (-1 - -2) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 690*c. Let b(d) = 41303*d. Determine b(y(a)).\nAnswer: 28499070*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/s**(-5\/6))\/(s**7*s**(-1\/9)*s) assuming s is positive.\nAnswer: s**(-181\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/7)*i\/(i**(-10)*i) assuming i is positive.\nAnswer: i**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5143662 is divided by 1714544?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*t - 246 = 0, 0*t - 2*t + 54 = g. What is the remainder when 176 is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*g = 3*r - 188, 0 = -2*g + 10. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 797634519 to the power of 1\/2, to the nearest integer?\nAnswer: 28242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 - (36\/4)\/3. Let n(l) = -l**2 - 16*l + 4. Let t be n(h). Solve c + 2*x = t*x - 5, -c - 2*x = -7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 114 + -a9?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {s: 1, d: 1, c: 1, w: 2, l: 1, y: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1344205 and 0.8.\nAnswer: -1075364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -22102201?\nAnswer: -22102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808791797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 5, 0, 8 in ascending order.\nAnswer: -4, 0, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c**3 + 3*c - 3*c)*(c + 1 - 1) + 19*c**4 + 0*c**2 - 53030*c**3 + 3*c**2 - 2 + 53051*c**3 to a*c + m*c**2 + h + y*c**3 + p*c**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 108570591 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/(-3))\/((-13)\/(-936)). Suppose 3*o + b = 1605. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**4 + 12096*x**2 - 2088*x - 2?\nAnswer: -24*x**2 + 24192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10684 and 6495?\nAnswer: 4189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*g + 21 = 0, 37*g - 36*g = -8*t + 37 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, 49, 146, 293, 496, 761, 1094?\n\"Answer: g**3 + 16*g**2 - 2*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 + -0.49. Let w = x + 0.19. Let o = w + 2.1. Which is the second smallest value? (a) -5 (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 9*a**2 - 10*a - 12. Let q be k(-8). Let u(l) = -3*l + q*l + l + 0 - 2. Let g be u(2). Solve g*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a - 81*a - 254*a + 53*a - 2.\nAnswer: -302*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 - -56. Let z = 216 + y. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 17. Let v be 8\/(-4) + (15 - -1). Let a be b(v). What is the remainder when 34 is divided by (-6)\/4*a*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15448157 + 1?\nAnswer: -15448156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-884)\/(-78) - 10\/2)\/((-11)\/33).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -210*z**3 - 847*z**2 - 15*z + 34. Calculate w(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-2\/9))\/(f\/(f*f\/f**(-1)))*((f*f*f**4)\/f)\/(f*f**(4\/5)))**7 assuming f is positive.\nAnswer: f**(2023\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-9))\/(4\/(-12)). Let k(s) = 23*s - 1. Let n be k(r). Let o = -14 + n. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + 1 + 4 - (-115 - (105 - 328))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -122, -151, -206, -293, -418, -587, -806?\n\"Answer: -f**3 - 7*f**2 - f - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by 4.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 4*s + 6*s)*(3917 + 4731 + 4430 - 3736 - 34 + 2172) in the form i*s + m and give i.\nAnswer: 91840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -85, -2 in descending order.\nAnswer: 166, -2, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:32 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**5 + 2*o**4 - o - 1. Let p(h) = 1572*h**5 + 20*h**4 + 11*h**2 + 145*h - 10. Let f(a) = 10*b(a) - p(a). Find the third derivative of f(n) wrt n.\nAnswer: -93120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20505 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -31494*y - 127. Let a be t(-20). Suppose i + 43753 - a = 0. What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -80, -51, -22?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 43. Let v be t(19). Solve -z - z + 4*c - 2 = 0, v*z - 1 = 4*c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/3 + 34*k**2\/3 - 305*k\/3 + 272\/3 = 0.\nAnswer: 1, 16, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1211536*l**6 - 37063*l**2 + l - 6?\nAnswer: -145384320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*i - 3)*(-2*i + 2*i - 2*i**2) + 2*i**3 - 4*i**3 + i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*q + 7, k + 64 + 111 = -3*q + 174 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215666443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**5\/60 - z**4\/8 - 44*z**3 + 22*z**2 + 4. Differentiate x(c) with respect to c.\nAnswer: 2*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and 50.\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 46*m**2 - 52*m + 237. Let g be w(47). Suppose q - 2*j - 9 + 0 = 0, 4*j = 5*q - 33. Factor -381*h**3 + 380*h**3 - g - 5*h + h**2 - q*h**2.\nAnswer: -(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 4*a = -592. Let m = a - 94. Is 13 a factor of m\/4 + 1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*g - 594 = 11*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175\/9*s + 1\/9*s**2 + 76.\nAnswer: (s + 4)*(s + 171)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 15*r = 2*b - 33, 3*r + 3 = -3*b. Let p(a) be the first derivative of 4*a**2 + 25\/2*a**4 + 40\/3*a**3 + b + 0*a. Let p(s) = 0. What is s?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-13 - -11 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1255363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*v - 3*u, 4*v - 5*u - 12 = -2*u. Suppose -11 = -4*o - 5*p, v*o - 6 = 3*o - p. Let h = 8 + o. What is the remainder when 13 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -377128333.2 to the nearest ten thousand.\nAnswer: -377130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 509*j**2 + j - 6*j - 482*j**2 - 6.\nAnswer: 27*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. Suppose -5*j = -7 + 2. Suppose 3*t + t + j = -5*r, 2*r = 4*t + 22. Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2 + c**2 + 10 + 0. Let n be (-14)\/(-49) + 6\/(-21). List the prime factors of i(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.91 - 1.21. Let i be (-2)\/6 - (7 + (-388)\/48). What is the third biggest value in u, -6, i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 2*v - 72 + 14 = -4*y, 3*v + 65 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.5 (b) -1\/2 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 3*t**2 - 2*t**3)*(-1 + 2 - 3)*(-14 - 1 + 2).\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*l**2 - 7*l**2 - 13*l**2)*(3*l**2 + 0*l**2 - 2*l**2) + 2*l - 3*l**4 - 2*l.\nAnswer: -38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 13. Is 8 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from yqqyqyq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*f**4*h - f**3*h**2 - 3*f*h**2 - 9*h**2 wrt f?\nAnswer: -264*f**2*h - 6*f*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4116929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487*t + 5512 + 3347 + 4827 = -12612 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-2)\/sqrt(8) + (2*sqrt(3))**2 + -1 + sqrt(12) + 0 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2\/59, -0.1?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -461084 divided by -26?\nAnswer: 17734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - q - 4. Let p be x(-3). Let d(g) = g**2 - 5*g - 4. Calculate the remainder when 38 is divided by d(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -682*m + 682*m + 5*t - 37 + 187, -m + 2*t + 56 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 + 17 = 4*v, -v = -f - 1. Suppose 2 = -5*z + s + 3, -5*z = -v*s + 11. Solve 0 = 2*b - 0*a - 4*a - 6, -a - z = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -1 + 2 - sqrt(539)) + (sqrt(539) + 3)**2*-5.\nAnswer: -2739 - 210*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 = -k - 27, 2*m - 2*k = 24. Suppose 9*y = -3094 + 3373. Solve 0 = -5*j - 6 + y, -o - m = -3*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-42)*(-35)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, n: 1, f: 5, c: 1}. What is prob of sequence cafn?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21486 and 8775058.\nAnswer: 8796544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 59297*l**2. Let j(t) = -31*t**2. Give x(j(v)).\nAnswer: 56984417*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38546899, 38546900, 38546901, 38546902, 38546903?\n\"Answer: l + 38546898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -9. Let m(t) be the second derivative of 0*t**3 + 0*t**j - 1\/6*t**4 - t - 1\/30*t**6 + 0 + 0*t**5. What is the third derivative of m(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, e: 11}. Give prob of picking 1 q and 3 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, 2995 in ascending order.\nAnswer: -2, 1, 3, 2995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 258*a**2 + 348*a - 11. Is l(130) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 17. Let k be q(11). Let r be 4\/(-10)*(k + 10). Put r, 5, -1, -4 in descending order.\nAnswer: 5, -1, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbk when four letters picked without replacement from iiiikbciibckc.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20 + 15 - 14\/(-2). Let f be (-8 - 590\/(-75))\/(v\/10). Which is the closest to f? (a) 0.3 (b) 1 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 4385. Let z(u) = -5*u. What is z(d(r))?\nAnswer: 5*r + 21925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -24) + (-2 - 1) - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101222 (base 3) to base 13.\nAnswer: 19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f + 2)*(-2*f - 3*f + 4*f) - 2*f**2 + 0*f**2 + 0*f**2 + (-2*f + f + 0*f)*(5*f + 0*f - 3*f) - 30 + 30 - 85*f**2.\nAnswer: -91*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z - 23*z + 2*z - 17*z.\nAnswer: -55*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4278 in -4, -0.5, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 432522.04*-0.2\nAnswer: -86504.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 - 75. Let h be (3 + 2 - 2) + (-88)\/z. Let w(r) = -h*r + 2*r - 4*r - r. Let u(a) = -3*a. What is w(u(y))?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 5*i**7\/126 - 41*i**6\/45 + 17*i**5\/60 + 64*i**4\/9 - 130*i**3\/9 + 32*i**2\/3 + 507*i. Let v(z) = 0. Calculate z.\nAnswer: -2, 2\/5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from bmmjjmmbjbmmmjbjmmm?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 125?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1513620 by -252270.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(20\/(-4)) - -3. Suppose -k*p = 4*p - 6. Which is smaller: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8047 + 8046. What is the second biggest value in 0.3, -4, a, -5, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9602?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 168889 = -5*i, 4*b - 5*b = 3*i - 101339. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -2, -0.4, 1\/11997, 0.1, 4?\nAnswer: 1\/11997","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-75))\/(8\/(-18)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/12682117 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-45)\/3*(-1 - 9). Suppose -t*s = -157*s + 8645. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + z)*(z**3 - z**4 - z**3 + 2*z**3 + z**4 - 2*z**3 - z**4 + 3*z**4 + 0*z**4 + (0*z + 3*z**3 + 0*z)*(4*z - 2*z + 0*z)).\nAnswer: -16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/1*4*11\/44.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -343374 divided by 114458\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96885385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 62684206 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42067 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 5*a = -l - 22, 5*a + 28 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4615 + 22685. Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6125608 (base 10) to base 16\nAnswer: 5d7828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12533 - -12540 - (-2 + 79 + -2).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 4\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -137 - -137.0134. What is b rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -565*1*161\/(-115) is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -0 + 20. Suppose 4*o = 3*w - 62, -p*w + 0*w - 3*o + 113 = 0. What is the first derivative of -6*m**3 - 1 + 27*m**3 - w wrt m?\nAnswer: 63*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007497 to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**3 + b**2 + 5*b - 5. Suppose -z + 8 = 3*z. Suppose 16 = z*i + 20. Let p(n) = -3*n**3 + 2*n - 2. Calculate i*q(x) + 5*p(x).\nAnswer: -x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*v**3 + 31747*h**2*v**2 + 3*h**2*v + 305*h*v**3 + 6*h + v**3 + v**2 + 2*v wrt h?\nAnswer: 2*v**3 + 63494*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54729 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*i**3 - 23*i**3 - 25*i**3)*(-32*i + 823*i + 190*i + 517*i + 850*i) to the form y*i**4 + k*i**2 + t*i + m + b*i**3 and give y.\nAnswer: -23480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 9*q + q.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1960750904 divided by -1.\nAnswer: -1960750904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -569, -556, -527, -476, -397, -284, -131?\n\"Answer: k**3 + 2*k**2 - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -2*p**5\/85 + 6*p**4\/17 - 30*p**3\/17 + 54*p**2\/17 - 5018. What is y in c(y) = 0?\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145.17 - -145.37. Let p = 4.92 + 0.08. Sort 3\/4, h, -8\/5, p.\nAnswer: -8\/5, h, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + d**3 - d**3 + d**3 + d**3 + 0*d**3 + (0*d**2 + 3*d**2 - 5*d**2)*(4*d - 2*d - 4*d) - 8841*d**2 + 1501*d**3 + 8840*d**2 + 1313*d**3.\nAnswer: 2818*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/4 and -91\/306?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -9*t. Let w(o) = 21*o**2. Determine l(w(x)).\nAnswer: -189*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1. Let q(g) = 4*g**2 - g - 2. Let d = 43 + -46. Let h be (5 - 9 - -1)\/(-3). Let o(r) = d*f(r) + h*q(r). Calculate o(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 5 + 25 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 68*h*j - 67*h + 2*j - 13894 wrt h.\nAnswer: 68*j - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 + 83?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6484477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4\/2 + 117360*a**3 + 2295678957*a**2 + 4591005840*a + 4590888483\/2 = 0 for a.\nAnswer: -39119, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 496 = 4*d - 4*m, 3*m = 4*d - 437 - 55. Suppose -7*r = -r - d. Let w = r - 19. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4682 + 4798. Solve -46*h = 12*h - l for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m + 4*y - 14 = 18*m, -2*m + y + 1 = 0. Suppose -17*p + m*p = -1725. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -132.251 and -57?\nAnswer: 7538.307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107238 is divided by 17872.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c**(1\/14))*c)\/c*c)\/c*c**(19\/2)*c**16*c*c\/c**(-14)*c assuming c is positive.\nAnswer: c**(304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l + 1. Let n be y(-1). Let a(b) = -182*b**2 + 2*b - 1. Let o be a(n). What is the units digit of (-5)\/25 + o\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (5 - 3) + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 4 - (-3 - 0). Let b(m) = 2*m**2 + 5*m - 7. Let j be b(x). What is the greatest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36 - 33. Suppose 2*w - 23 = 2*h + 11, a*h = w - 15. Let x be 0 + (w\/4)\/((-9)\/(-24)). What is the greatest common factor of x and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, e: 10}. What is prob of sequence eaaa?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154605 - -154610. Suppose 4 = -2*n + n. Let p be (n\/(-3))\/((-2)\/(-3)). Solve w + w + p*d = 18, -5 = -5*w + c*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 1864391\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2529452 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -7, 17, 63, 137, 245, 393?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*b - 82 = 242*b + 2*a, -4*a = -2*b + 8 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11963, -11962, -11961, -11960?\n\"Answer: f - 11964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 4, c: 2}. Give prob of picking 2 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -17*u**2 - 17*u - 11\/2*u**3 + 0. What is the derivative of p(h) wrt h?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8045 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -876*n**2. Let c(j) = 1073*j. Give x(c(q)).\nAnswer: -1008564204*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627\/85513 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-8)\/4 - (-2 - 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19183951 and -5.\nAnswer: 0.95919755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -13\/6*x**6 + 0*x**3 + 0*x**5 + 0*x + 15 - 19\/2*x**2 + 0*x**4. Find the second derivative of w(t) wrt t.\nAnswer: -260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = 3*m, 0 = 3*m - 5*j - 0*j + 14. Suppose 0*d = -2*d + 4, -2*q = m*d. What is the third smallest value in 5, 0.2, 0.09, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/20)\/((-1)\/8).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 13) + (28 - 13) + 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392548 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -3641072.8.\nAnswer: -14564291.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + 4.2. Let l = -0.024 - 0.276. Let g = 0.1 - l. Put z, 0.5, g in decreasing order.\nAnswer: z, 0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33909254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/7, -0.07, 6 in decreasing order.\nAnswer: 6, 0.2, -0.07, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 + 5284*l**2 - 3201456*l + 37658304 = 0.\nAnswer: 12, 684, 4588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/((-22)\/87). Let y = t - 239\/99. Which is the biggest value? (a) -3\/5 (b) y (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 8, 1131*o - 1127*o = -4*s + 8044. What is the smallest common multiple of s and 36?\nAnswer: 24156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/4 - 497*g**3\/4 - 2741*g**2 - 7357*g - 4740 = 0. What is g?\nAnswer: -474, -20, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 11*z + 3. Suppose z*f - 60 = -0*f. Solve 2*p + 2*p - 16 = -3*j, 5*p = 2*j + f for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331371 - 950289 = -41*t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6564630*a**3 + 568941*a**2 - 3*a + 1.\nAnswer: -39387780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 1 r when three letters picked without replacement from {x: 7, r: 2, k: 2, h: 1}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.76 + -0.24. Let q = 4 + 1. Which is the nearest to r? (a) -0.5 (b) -0.02 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(12) - sqrt(108))*-2) + 2.\nAnswer: sqrt(5)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 223386.3 months?\nAnswer: 18615.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 4*v**2 - v**2)*(9 - 11*v**3 - 9) - v**5 + 0*v**5 + 7*v**5.\nAnswer: -49*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Suppose 0 = f*s - s + 1. Is (2 - s)*(-390)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-9)\/(((-162)\/(-12))\/(-9)). Suppose o = -7*z + 216. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 7*k - 14 = -12*k, 0 = 5*k. Let d(p) = -p**3 + 9*p**2 - 8*p - 37. Let s be d(j). Solve 2 = -m - 3*h - 2, -s*h = -m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v**4 + 1\/3*v**5 - 1331\/3*v**2 + 121*v**3 + 0 + 0*v = 0. What is v?\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 342229, 341869, 341249, 340375, 339253, 337889, 336289?\nAnswer: 334459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 8\/35 (b) -3 (c) 1\/7 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181151\/21 - 8624. Let t be (4\/2136)\/((-35)\/27272). Let b = -2\/267 + t. What is the common denominator of b and m?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i - 2. Let f(u) = -20*u - 14. Let m(t) = -13*t - 9. Let n(x) = -5*f(x) + 8*m(x). Determine -3*d(z) + 2*n(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 678 divided by -470743\nAnswer: -678\/470743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -28975 divided by -12\nAnswer: 28975\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384285 is divided by 2009.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3168 is divided by 75.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32810 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7307216, -1, -0.19 in descending order.\nAnswer: -0.19, -1, -7307216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-22)*18\/4 and ((-87)\/(-54))\/(3\/6).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*h + 278*h - 364*h.\nAnswer: -236*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 39*u**5\/2 + u**4\/3 - 12*u**3 - 2*u + 284. Find the third derivative of m(f) wrt f.\nAnswer: 2340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/2 in 0.06, -4, 2, 0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**3 + o. Let j be m(-1). Differentiate 4*f**3 - 10*f**3 - 8 + j - 1 wrt f.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52148261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212110 + -20?\nAnswer: 212030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*m = -5, 0*m = 3*m - 3. Suppose i*q - 8 = -q. Let t = -6 + q. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**3\/3 - f**2\/2 + 3. Suppose -q = -5*l + 13, -3 = 3*l - 12. Let u(d) = -d - 1. Determine q*u(a) - i(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7582938 and 2052.\nAnswer: 136492884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 - 5*a + 5*a + (-5 + 5 - 2*a)*(-29539 + 893*a + 29539) + 0 - a**2 + 0 to the form t*a**2 + k*a + u and give t.\nAnswer: -1789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:55 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/40*(-15)\/(-54). Which is the closest to 2? (a) d (b) 3\/7 (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621293 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {t: 5, i: 2, k: 11, o: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**3 + 2*u - 1. Let w be q(1). Let z = -11 - -15. Let x be 10\/z*(-8)\/(-10). Solve -5*k = -x*n - 53 + 18, 45 = -w*n + 4*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 705692916 to the nearest integer?\nAnswer: 26565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (1 - -6) + -1. Let m be 1\/1 - (3 + -5). Suppose -m*p - 2*d = 6, 3*p = -w*d - 15 - 0. Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 339737693 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10397, -10382, -10359, -10328, -10289, -10242?\nAnswer: -10187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13290 - 13290.3. What is the third biggest value in -2, z, -56, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-4 + 16\/5). Is x at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.048309 + -213.\nAnswer: -213.048309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113 by 681794.\nAnswer: 113\/681794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 11:24 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/5 - 3\/(-5). Let b(v) = -4*v + z - 1 - 4. List the prime factors of b(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100223 + -31031?\nAnswer: -1131320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-9)\/(-6)*(-6)\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 161 + 3446. Suppose -3*z + 1990 + 1295 = -2*n, -4*n - m = -3*z. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-3))\/((-5)\/(-5)). Suppose 0 = -23*n + 31*n. Suppose o*f + n*f = 60. What is the smallest common multiple of 8 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j**3\/3 - 2*j**2 - 3*j - 16. Let f(q) = -2*q**2 + 5*q + 3. Determine -4*f(o) - 5*y(o).\nAnswer: -2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 3. Let c(z) = z - 1. Let a(x) = -3*c(x) + h(x). Let m(r) be the third derivative of -r**4\/4 + 11*r**2 - 143*r. Determine m(a(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143369*d**3*p - 6*d**2*p - 229*d**2 - 13*d*p wrt d.\nAnswer: 860214*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 + -4. Let p = 22 - 70. Let j = 47.9 + p. Sort -13, o, j in descending order.\nAnswer: o, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s - 1)*(-1 + 3 - 3)*(-4 - 3 + 1)*(-4042 + 1881 + 1682).\nAnswer: -5748*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 + -54.9. Let z = -2.77 - 0.33. Let p = z - 0.9. Which is the nearest to -1\/2? (a) 1\/6 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 2. Let b(i) be the first derivative of -i**3\/3 - 21*i**2\/2 - 13*i + 18. Is b(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 297, 2434, 8221, 19482, 38041, 65722?\n\"Answer: 304*s**3 + s**2 + 6*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 6. Let l be n(-5). Let c = 0 + l. Let d = 5 - c. Sort -1, d, 1 in increasing order.\nAnswer: -1, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-14)\/8*(1 - (-13)\/(-3)) and 41\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcuziccaeeaaceczcez. What is prob of sequence ae?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869 is divided by 622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 38*o - 134. Let r be y(34). Let n = 17.105 - 0.105. Which is the nearest to r? (a) n (b) 0.5 (c) 4 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 12, t: 7}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 98. Let c be 4\/(-14) - (-9030)\/l. Suppose -4*t + c = -0*t. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (561*a - 27*a + 637*a + 149*a)*(0 + 0 - a).\nAnswer: -1320*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -410039 and -18?\nAnswer: 7380702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9567, -18866, -28157, -37440, -46715?\nAnswer: -55982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*f + 121*f = -68. Which is the nearest to f? (a) -0.5 (b) 7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2795 is divided by 185?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22715281 is divided by 110?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c - 3*c + 3*c)*(-158 + 2918*c - 2923*c - 28 - c + 2 - 2 + (2 + 3 - 6)*(-2*c + 0 + 0)).\nAnswer: 28*c**2 + 1302*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/(-945) + -23 + (-1775306)\/(-77532).\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpftppfttttftfntf. Give prob of picking 1 n, 1 p, and 1 t.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 33. Suppose 0 = 5*p - 191 + g. Calculate the least common multiple of p and 69.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-295 - 1261*r - 98*r**2 + 293 + 1262*r)*(-4 + 4 - 4*r) in the form q*r**3 + l*r + d + p*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (345\/(-644))\/(120\/280)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 58 (base 9) to base 13\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/6)\/((-5)\/(-2))*(-960)\/(-252)?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/28*147\/(-370440)*-588?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 10176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 13) to base 6\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53113 - -14?\nAnswer: -53066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d + 2. Is (-232)\/(-20) + d\/(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5470?\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400376 is divided by 400199.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 16*h - 12. Calculate the remainder when n(5) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:15 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27685*q + 2404*q = -3033720 for q.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5113 + -1?\nAnswer: -5114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**3 - 11*o**2 - o + 31. Is n(-11) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119 - -127. Suppose 5*k + 2 = 3*k. Let b = j - k. What is the remainder when 41 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21638 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 170699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857*w + 848*w = 1692*w - 39 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 3 - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3224.98 millimeters?\nAnswer: 322.498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from ddjujjuddujjj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, 0.3, 22 in descending order.\nAnswer: 22, 0.3, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 bigger than 112\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - 2.6. What is the fourth smallest value in 2, -4, i, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75)\/(-6 - (-21311997)\/3552000). Suppose -39*k = -35*k + b. What is k rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 36 = 5*o. Let m(u) = u**3 - 9*u**2. Let b be m(o). Suppose t = -b*t. Solve -2*v = -4*v + 4*x - 16, -4*v + x + 3 = t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by 88\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -452 - -449. Which is the nearest to -0.1? (a) 26 (b) 2\/3 (c) y (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 13770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*x = -80*x + 341 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13060 is divided by 6434?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-36) - 2295\/243.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053465*-8.\nAnswer: -0.42772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1698*g + 50879 = -221*g + 2176*g - 106200 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.7 + -9.75. Let h = 234.98 + -235. Put h, x, -4 in ascending order.\nAnswer: -4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6135 + 9941 = -161*g + 1425 for g.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 12. Determine c(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.15469087 rounded to two dps?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - m = -27 - 35, -t = -3*m + 4. Let z = t - -19. What is the second derivative of 2*l**4 + 60 - 60 - z*l wrt l?\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -16, -i = 3*o - 2*o - 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -8, -0.02, 4\/13, -1\/2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-23)\/(-5842))\/((1\/12)\/(82\/(-246))).\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 2, d: 2, z: 1, j: 3, f: 3}. Give prob of sequence dgz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3323*q - 102 = -3306*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 56\/(-12)*-6 + -1. Let o = -25 + i. List the prime factors of ((-3864)\/105)\/(o\/(-5)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596401 less than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -875 - -893. Solve 24 = 4*s + 2*j + 2*j, i = 5*s + j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 - 0) + -91. Let v = o + 40. Let l = -30 - v. Which is smaller: 21 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-5*5\/(-475)). Let i be g\/(-2) - 9\/18. Differentiate 14*p**3 + 38 - i*p**3 - 8*p**3 wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 - 3*k - 3. Let i(u) = u**3 + 6*u**2 + 9*u + 7. Let j be i(-4). Let x be a(j). Let n be (-116)\/x - 2\/(-15). Solve -n*h = 7 + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 11 - 1044*a + 1046*a + 6.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m + 24*m - m**3 - m**2 + 3*m**2 to o + n*m**2 + q*m**3 + u*m and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16068 smaller than 16056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 + -0.29. Let m = 2.21 + f. Let j(r) = -853*r + 16207. Let l be j(19). Which is the second smallest value? (a) l (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 2\/15, -6\/1339, -2\/9?\nAnswer: -6\/1339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, 1 in increasing order.\nAnswer: -24, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1251950788*l**4 + 383427539*l**2?\nAnswer: 30046818912*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-3 - 1) - 0 - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-9)\/(-54)*(-33)\/143.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 794855 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**5 - 2884*t**4 - 143356*t**3 - 2054984*t**2 - 6471426*t - 4556916 = 0.\nAnswer: -1391, -26, -21, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 622?\nAnswer: -61e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 14*l - 8 = 0. Calculate the least common multiple of (-5 + 6)\/(2\/l) + 5 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + -6 + 3 - -1*17. Suppose -b + 4*b = -9, -2*k + q = 3*b. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - a**2 - 2*a - 18. What is m(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {a: 3, b: 13}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1380, 1.6, -60, -5 in ascending order.\nAnswer: -1380, -60, -5, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u + 14*u = -35010. List the prime factors of u.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 11*t + 11. Determine h(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(112)*3 - sqrt(112)) - (4 + -3 + sqrt(448)))**2.\nAnswer: 63*sqrt(7)\/4 + 27847\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*z - 1 = 0. Is 15 a factor of (-120)\/((2 + 1)*z\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/204?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/11 - 158*b**2\/11 + 4615*b\/11 - 31096\/11.\nAnswer: -(b - 13)**2*(b + 184)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*226.5.\nAnswer: 679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2253 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 9*r**2 + 135*r + 1251. Determine t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.69048 seconds to days.\nAnswer: 0.007403825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32271 = 4*w + 5*v, -6*w = -10*w + 4*v + 32280. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 167, -6, -23, -4, 0, 1, -5 in descending order.\nAnswer: 167, 1, 0, -4, -5, -6, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3 = 2. Let f(m) = -7*m**3 + m**2. Let c be f(a). Let j be ((-4)\/(-6))\/(c\/36). Let h(n) = n**3 - 4*n**2 + 4*n - 1. Determine h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, w: 1, j: 1, h: 2, v: 2, i: 1}. What is prob of sequence jr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + -1 + -1)*6)**2 + 2.\nAnswer: -144*sqrt(19) + 830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.046\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7074376.\nAnswer: 2, 29, 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1451731 and 2171?\nAnswer: 18872503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1179*o**3 - 13*o**2 + 1179*o**3 - 33*o**4 wrt o.\nAnswer: -792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:45 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 102b0 (base 13) to base 10\nAnswer: 29042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 1.7. Let z = -0.2 + -0.3. Let q = 1576\/9 + -6295\/36. Put q, z, m in ascending order.\nAnswer: z, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:06 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-32)*(-8)\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 467543 (base 9) to base 13\nAnswer: 9ac4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(15*j - 891 + 891 + (-5*j + 2*j + 5*j)*(0 - 2 + 0)).\nAnswer: -22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from hzzz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -301, -1211, -2735, -4879, -7649?\n\"Answer: -g**3 - 301*g**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -634 divided by 187\nAnswer: -634\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**2 + 186855*o - 560610 = 0. What is o?\nAnswer: -37374, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 143*x**2. Let h be y(1). Suppose -7 = 2*n - h. Suppose -n = -4*m + 2*o, -57 = -3*m - 2*o - 6. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - v**3 - 13*v**2 - 26*v**4 - 24*v**2 + 6*v**4 + 6*v**4 in the form s*v**3 + o*v**4 + d*v + a + t*v**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-10)*2\/18. Let i = -3\/10 + t. Which is the smallest value? (a) i (b) 0.5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*2*40\/400 - 695\/50?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121404?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -19 - 4*w + 3*w - 5 - w**2 + 23 + 2*w**2. Let z(p) = 9*p**3 + p**2 - p - 2. Calculate -m(x) + z(x).\nAnswer: 9*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26957 (base 12) to base 11.\nAnswer: -36a77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -343*a + 821. Let u be f(2). Solve 26*w - u = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 187 + 42 + 117*h**2 + 112*h**2 - 230*h**2 - 30. Let k(t) = -2*t**2. Calculate m(k(f)).\nAnswer: -4*f**4 + 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 7*k**6\/120 + k**4\/24 - k**3\/6 + k**2 + 2. Let p(x) be the second derivative of a(x). Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -822, -1229, -1798, -2529, -3422?\nAnswer: -4477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1*6\/4). Suppose s + 296 = 6*p - u*p, p = 2*s + 67. What is the remainder when p is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/8, -15, -2\/5, -9\/7, -45, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 g, and 1 t when three letters picked without replacement from ggmmfmmgngggtggmmtg.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 10. Let f be h(-6). Suppose 0 = 4*m - 3*x - 64, 3*m + 3*x - 2*x - 48 = 0. Suppose m = -0*d + d. What is the greatest common divisor of d and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -9 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, -1, -42 in descending order.\nAnswer: -1, -42, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 1.1. Let i = -2.03 - -0.03. Let c be 3\/(-1) - 0 - 40\/(-14). What is the third biggest value in c, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3*6\/4. Suppose s = -3 - g. Let q be (-1 - 0)\/(1 - -1). What is the third smallest value in s, 1\/4, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 9472111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11)*1)*5*-2.\nAnswer: -10*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -7, 23, 73, 149, 257?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 31771217*n**2 + 61227756 wrt n.\nAnswer: 63542434*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564043, 1128149, 1692255, 2256361?\nAnswer: 2820467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*d**3*y**2 - 1862*d**3 - 5*d**2 - 46*y**3 wrt y.\nAnswer: -110*d**3*y - 138*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -9*r - 2. Give f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -2*t + 5*x, 18872*x = 2*t + 18871*x + 18 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2315 = -5*z - 1845. Calculate the highest common factor of z and 2162.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28143332219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 34525?\nAnswer: -34529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38909193*l**2*x**4 + l**2*x - 6*l*x - l + 2*x**5 - 228*x + 59 wrt x?\nAnswer: 466910316*l**2*x**2 + 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 12*y - 8. Give i(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100146\/(-2)*((-4)\/(-14))\/((-738)\/1722).\nAnswer: 2, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 490.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmtmttmtmmtmmtmmttt. What is prob of sequence mm?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7863612 centuries in years?\nAnswer: 78.63612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1458, -1407, -1374, -1365, -1386?\n\"Answer: -d**3 - 3*d**2 + 67*d - 1521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -3) + 29 + -26\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 248569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3315 and 39.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*q + 78, -5*q + 3*q - 58 = b. Let f be 0\/1*(b\/12)\/(-11). Determine j, given that -2\/5*j + 2\/15*j**2 + f = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(120) + (sqrt(120)*2 + sqrt(120) - sqrt(120)) - sqrt(120)))\/sqrt(12))\/((sqrt(720)*-2 + sqrt(5))*-2)*1*2.\nAnswer: 8*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 471*t - 14 = -7*r + 470*t, 0 = -9*r - 4*t + 49 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 + 272 = -4*m. Which is smaller: m or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.8 - 14. Let d = -0.07 - 3.53. Let s = -4 - d. What is the third biggest value in i, 2\/11, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 9:42 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + -102231120131?\nAnswer: -102231120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 112800 divided by -1?\nAnswer: -112800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, 5\/2, -0.08, -71\/16, -4, 1, 6?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1991.555203 - -1991.43. What is m rounded to three dps?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23744 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 <= 0.0426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 10 = -5*i, x - 30 + 10 = 5*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -231977 - -255638729\/1102. Calculate the common denominator of -11\/152 and k.\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 11*b + 3. Let i be u(10). Let z be 1 + i\/((-7)\/(-2)). Is (-1 + z)\/(4\/(-410)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 897?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3773 and 147?\nAnswer: 11319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430432 = 1408*b - 1517728 for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-3)\/(-2)*(-38)\/2926*-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1405392 by 304.\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*j - 8 + 8)*(-3*j + 0*j + 3 - 4).\nAnswer: -9*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3268 + 3782. Which is the third smallest value? (a) -2 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3018954, 3018957, 3018960, 3018963, 3018966, 3018969?\nAnswer: 3018972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/57 + 146\/1425. Let r(b) be the second derivative of -6*b + 0 - h*b**5 - 1\/2*b**3 - 3\/10*b**2 - 2\/5*b**4. Find f, given that r(f) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*n = 45, 14*a + n + 979 = 303 + 440 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 4)*(0 + 2*c + 0)*(c**2 - 2*c**2 + 4*c**2) as m*c**3 + y*c**2 + v + d*c and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 67907520.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645 a factor of 776221215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 e when three letters picked without replacement from {e: 11, x: 3}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6550154 micrograms in nanograms?\nAnswer: 655.0154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 118 - 4?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/12 - 8*p\/3 - 8393\/12.\nAnswer: (p - 109)*(p + 77)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zfz when three letters picked without replacement from wmkwhfhfwwzkfzzfzhwh.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*a - 95. Suppose 5 = k + 2*f - 3, 2*k - 5*f + a = 0. Let m be 93\/6 + (-3)\/k. Solve -n + j + 0 - 4 = 0, -4*n - m = -3*j for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 0*r**3 + 0 + 1\/12*r**4 + 0*r - r**2 - 1\/40*r**6 + 0*r**5. What is the second derivative of n(i) wrt i?\nAnswer: -18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17378 is divided by 342?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:28 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201102200221 - -2212?\nAnswer: -1201102121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17649199 - -17649198.77999987. Let x = -486 + 486.22. Let c = p + x. What is c rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**5 - 4*r**3 + 3*r**2. Let a(g) = -g**3. Let h(v) = 4*a(v) - m(v). What is the third derivative of h(s) wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 7*f - 14. Let r be a(6). Let s be (5 + r)\/(3\/(-3)). What is the second derivative of 5*h**3 + s*h**5 - h - 5*h**3 wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose 8*j = q*j - 105. Let s = j - -110. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -102. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4361, 8917, 13411, 17813, 22093, 26221?\n\"Answer: -5*m**3 - m**2 + 4594*m - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let p(s) = 0 + 0 - 4*s + 9*s. Calculate p(n(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/45)\/(12\/(-1200)). Sort m, 3, -23 in descending order.\nAnswer: m, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 - (46 - (-649)\/(-59))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 10:49 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2*k + 0 = 6, 3*f - 3*k = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(1 - 1 - p) + 140 + 171*p - 279 + 139 + 196*p.\nAnswer: 365*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -25*g**6\/6 + g**4\/12 - 4*g**2 - 98*g. Find the third derivative of l(b) wrt b.\nAnswer: -3000*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -211*f**2 - 31436*f + 447.\nAnswer: -(f + 149)*(211*f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*s + 29*s + 35. Suppose -s*c + 15 = -125. Factor -c*w**3 + 20*w**4 - 4*w**2 + 21*w**3 + 2*w**2 - 11*w**5.\nAnswer: -w**2*(w - 1)**2*(11*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.298 + 0.298. Let h = -6.3 - -11. Let z = h + q. Which is the closest to z? (a) 0.2 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + a - 2 + (4 - 1 - 1)*(2*a - 2*a - 2*a) + a + 3*a - 3*a - 8 + 8 - 8*a)*(-2 + 2 + a) in the form m + p*a + x*a**2 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4949 - -13. What are the prime factors of j?\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t**2 + 1. Let d(p) = 3*p**2 - 377. Give c(d(i)).\nAnswer: -45*i**4 + 11310*i**2 - 710644","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 4\/7, -18.7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -2\/13 (b) -2 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137604 and 3936.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/206 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 5*i + 21, 449*i - 448*i - 1 = -3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 36. Calculate the lowest common multiple of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -44. Let a be 5*-1 - -1 - (-69)\/18. What is the nearest to g in 3\/8, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2874922 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v*v*v**(-1\/3)\/v*v*v*v)\/(v*v**(-2))**(-30) assuming v is positive.\nAnswer: v**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -20 + 212\/18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 271.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -378 - -248. Let u = f + 218. Suppose 93 = 3*h + h + 5*p, -4*h = 4*p - u. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-7)\/o)\/o*o)\/(o*(o\/(o**(2\/23)\/o))\/o))\/(o*o**(5\/7)*o**(8\/3)))**(-38) assuming o is positive.\nAnswer: o**(262352\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 1:38 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10913 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/2, 66, -14, -22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 37 - 2*j - 23 - 18. Let q(o) = -o - 2. Let r(a) = 3*f(a) - 5*q(a). What is r(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 11. Let s be 2 - (-1 + -19)\/(-2). Let p be r(s). Is 16 a factor of (2\/p)\/(5\/240)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 0) + 1191 + (-15 - -11)?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6*4016\/(-111444)*(-6)\/(-10)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2. Let d be o(-2). Let a = 20 - d. Let c = -46 - -81. Calculate the greatest common factor of a and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 37*w + 160. Let v(q) = -10*q - 53. Let s(f) = -2*a(f) - 7*v(f). Let o(d) = d**2. Give s(o(m)).\nAnswer: -4*m**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 6*k**2 + 31*k**3 - k**2 - 27*k**3 + 2*k - k to the form f*k**2 + i*k + s*k**3 + w and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31500114 (base 6) to base 5.\nAnswer: 214103030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gnn when three letters picked without replacement from {n: 3, g: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(45\/10))\/(-3 + (-615)\/(-207)). Which is the second biggest value? (a) i (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a week in minutes?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (141 - 82)\/(-354)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 5*u**3 - 2*u**3)*(32 + 24 - 3).\nAnswer: 106*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 8.94.\nAnswer: 9.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34682, -43610, -52538, -61466, -70394, -79322?\nAnswer: -88250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {n: 1, r: 1, i: 1, f: 2, y: 1, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + ((sqrt(175) - (sqrt(175) - sqrt(175)*1))**2 - sqrt(175))*2 - (1 + -1 + sqrt(175) + sqrt(175) + sqrt(175)))*-6.\nAnswer: -2100 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/561*-11*(-18)\/(-4 - -2). Solve -5*w = -8*m + 12*m - 20, 0 = -3*m + z*w - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a5ac - -1523?\nAnswer: bacf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1774080 and 105424?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a9da (base 15) to base 12.\nAnswer: -42151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/(v\/v**3))\/((v\/(v\/v**(-2)*v))\/v**(-5\/4)) assuming v is positive.\nAnswer: v**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(0*c - 3*c + c) + 13*c - 53 + 53 + (0 - 3 + 6)*(-c + c - 2*c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:02 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4 - 34308*q**3 - 753579*q**2 - 2910570*q = 0.\nAnswer: -11414, -17, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*l + 41*l - 29*l)*(-4 + 3*l + 4)*(4 - 15*l**2 + 5*l**2 + 9*l**2 - 2) to i*l**4 + v*l**2 + n + a*l + m*l**3 and give v.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Let k(i) = i**3 - 4*i**2 + 2*i - 5. What is the units digit of k(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5 + i + i + 5*i - 6*i. Let q = -11 - -7. What is r(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347370991?\nAnswer: 11, 31579181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496, -1218, -2044, -3004, -4128?\nAnswer: -5446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.378637um in kilometers?\nAnswer: 0.000000000378637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:02 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 54. Let r(v) = -v - 10. Let f be r(-11). Suppose 4 = 3*g - 2. Sort q, f, g.\nAnswer: q, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.2 (b) 4 (c) 0.3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.932 - 7.932. Which is the second smallest value? (a) -2\/637 (b) w (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 11*z - 14. Let x be c(7). Suppose 4*b = -19 + x. Put -5, 1, 0, b in descending order.\nAnswer: 1, 0, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -189, -177, -157, -129, -93, -49?\n\"Answer: 4*s**2 - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-567)\/(-9))\/(-7)*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(-2\/3)*z)\/z))\/z*z\/z**15)**(-4\/25)\/((z**(1\/2)\/z*z)**42\/((z\/(z*z\/z**6*z))\/(z**(-6)*z))) assuming z is positive.\nAnswer: z**(-712\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -5, -28495, -4 in ascending order.\nAnswer: -28495, -71, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 507326298?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w - 2*i + 8, w + 1 = -3*i. Suppose -13*q + 14*q = w. What is the smallest common multiple of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127891 - 40891. What is u rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1611431*v. Let h(l) = 2*l**2. Give h(m(n)).\nAnswer: 5193419735522*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h + 348 = 18 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1505)\/1204)\/((-5)\/28)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(4\/13)*n**(-12))\/(n\/(n**(-4)\/n))**(2\/85))**(-1\/16) assuming n is positive.\nAnswer: n**(11971\/17680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - b - 4. Let x be l(3). Let w be (-28)\/21*(-27)\/x. Suppose w = 4*f - f. Let t(n) = -4*n - 7. Let d(z) = -z - 2. Give f*t(k) - 21*d(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -26*j + 7. Let r(d) = d + 10. Let q be r(-6). Suppose 6*b + 3*y + 18 = 2*b, -b - q*y = -2. Is s(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33060, 66113, 99166?\n\"Answer: 33053*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34879423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (30 - 12) - (-14 + 2 + -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6 = -0*x - 2*x, 5*z - 15 = -5*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27946930*k**3*l**2 + 662*k**2*l**2 + 15299*k**2 wrt k.\nAnswer: 167681580*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyykyyyyyykyyyyyyyy. What is prob of sequence ykk?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 2:26 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + 198\/10. Let z = -35 - -99. Suppose -4*u - y = -z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -6. Let w be (-3)\/(x\/(-4) - -1). Let r be 2\/w + (-4 - -1). Is -2 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1 - 1 + j + 3. Let l(w) = -1. Let x(n) = 2*c(n) + 6*l(n). Let b(p) = p**2. Give x(b(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 4702*v\/7 - 383880.\nAnswer: -2*(v - 1371)*(v - 980)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258621441 - 4*q + 22*q + 258621441.\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1.3, -4, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25000 (base 6) in base 11?\nAnswer: 2839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 28 = -4*o. Let z(x) = x - 10*x + 8 + x**3 + 252*x**2 - 258*x**2. What is z(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 15565*y + 11965690.\nAnswer: -5*(y - 3751)*(y + 638)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from {h: 4, x: 11, y: 2, g: 2}?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 26. Calculate the remainder when (-39)\/((-7)\/21 - 0) is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 - 324 - 28*t + 324 + 4*t**5 + t**5 - 3*t**5 + (0 - t**2 + 0)*(t**3 - t**3 - t**3).\nAnswer: 5*t**5 - 28*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + y = 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 6}. Give prob of sequence rrr.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Suppose 4*w + 5 = 5*d + 2, -3*d + 3 = -2*w. Suppose o + 0*o - 5 = -b, 4*o = 2*b - 10. Calculate the least common multiple of 20 and 9\/w + b + -2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (13 + -42) - ((4 - 3) + 4)) + 2.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958541 is divided by 244816?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*v + 16*v + 20*v - 1 as d + b*v and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -25 (c) -5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160.6397 millilitres in litres?\nAnswer: 0.1606397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, 50, 249, 646, 1307, 2298?\n\"Answer: 11*h**3 - 10*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - -6) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 67 - b - 83)*(4*b**2 + b**2 - 3*b**2)*(0 + 0 - 1) + 2*b**3 - b**2 + b**2 to o*b**2 + g + n*b + a*b**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 1)*(1 - 6 + 11)*(0*c + c - 2*c + 4*c - 2*c + 0*c + 0*c + 3*c - 5*c + 0 + 2*c + 0 + (-1 + c + 1)*(0 - 1 + 2) + 2*c + 2*c - 2*c - c + 0*c + 2*c).\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 133*v - 249*v + 125*v - 5 in the form j + n*v and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 52, -47, 0, -2 in descending order.\nAnswer: 52, 5, 0, -2, -7, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-20))**(-4)\/((y*y**(-3\/4))\/y**30) assuming y is positive.\nAnswer: y**(439\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-21.43.\nAnswer: -21.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -598671 (base 10) to base 7\nAnswer: -5042253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(1008))*6)**2 + -5 + 5.\nAnswer: 1728*sqrt(7) + 36432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 973 a factor of 3204118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**6\/180 - s**4\/2 - 6*s. Let z(a) be the third derivative of c(a). Let h(f) = 3*f. Determine z(h(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1527\/(-4 + 3 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77*(-4)\/10 - (-24687)\/(-13715)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(-4 - (-110)\/30). Solve 0*c = -q*c + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 502*o + 16879. Let w be r(-40). Let q = -1 - -1. Sort 4, q, w, 5 in ascending order.\nAnswer: w, q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, j: 1, t: 2}. What is prob of sequence tnj?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*v = -6 + 154, -4*v = -2*k + 86. Suppose -17602 = -k*q + 13*q. List the prime factors of q.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Suppose n*s + 178 = -122. Let y be (3\/(-4))\/(1\/s). What is the greatest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*q + 6*q + 9242. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 4)*(0*l + 2*l - 3*l) + 37*l + 39*l - 39*l + 3*l - 3*l + 2*l + (1 + 0 - 2)*(3*l - 3*l + l) - 5*l + 3*l + 3*l to the form h*l + b and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.3 + 4161.70735.\nAnswer: 4170.00735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103465 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -16.28, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4591 + 2.6591. What is the fifth biggest value in 0.2, 1, 0, q, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkxlxlkzzlzkqqllxz. Give prob of sequence kxlz.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -10. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h. Let c be 28\/70 - 36\/(-10). Solve h = -4*s - c*x, 8 = -s + 2*x - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 8*o + 5. Let g be d(8). Suppose -3*m = 3*h - g*m - 211, -5*h - 3*m = -358. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:02 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -84, -416, 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 j, and 2 x when four letters picked without replacement from {k: 2, j: 1, l: 1, x: 2, i: 1, m: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89\/6 + -4\/3. What is the common denominator of 33\/21*9086\/(-1180) and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**3\/9 + 92*d**2\/9 + 790*d\/9 - 884\/9 = 0. Calculate d.\nAnswer: -34, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1125 = 7*q + 2*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 300*m. Let f(c) = 2*c. Determine b(f(r)).\nAnswer: 600*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/7)*s)\/s**12)**27*(s**(3\/2)*s\/s**(-5))\/(s*((s**1*s*s)\/s)\/s)**(3\/38) assuming s is positive.\nAnswer: s**(-63711\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753*z = 749*z + 128. Solve 26*u + 6 = z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -62, -1, -8, -5, -23 in ascending order.\nAnswer: -62, -23, -8, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*((p*p**(-9))\/p)\/p*p))\/(p\/(p*p**13\/p*p)) assuming p is positive.\nAnswer: p**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 333 - 359. Let u(g) = 9*g**3 - 13*g. Let j be -18*(2 - -1)\/(-9). Let s(m) = 2*m**3 - 3*m. What is j*u(x) + l*s(x)?\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 29*d - 2. Let p be y(2). Let g = 1654 - 1619. What is the greatest common divisor of g and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 834.9136l in millilitres?\nAnswer: 834913.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57\/8, -1\/39, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b88839 (base 15) to base 11\nAnswer: 4a61873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 163744904 plus 69?\nAnswer: 163744973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 64*o**2 - 127*o - 159. Let q be l(-62). Calculate the greatest common divisor of 39 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 189?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s - 63 = 3*h, 3*s + 5*h + 61 = 0. What is the common denominator of -71\/6 and (1\/s)\/((-10)\/654)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -17*v + 50 + 6*v + 403*v**2 - 1 - 77*v**2. Is f(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275764 is divided by 354?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 268522*v. Let m(u) = 15*u**2. Determine k(m(q)).\nAnswer: 4027830*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, h: 1, i: 1, c: 1, l: 2, j: 4}. What is prob of sequence lj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 4. Let z be w(0). Let p = 20 + z. Calculate the highest common factor of 240 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 6*y**2 + 4*y + 5. Let k be s(-6). Let o = k + 28. Suppose 4*z + o = -r + 41, r + 5*z - 37 = 0. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*2\/(-12))\/((-15)\/9). Which is greater: y or -25?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 8, -1\/2 in decreasing order.\nAnswer: 8, 1\/6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22542 * 5.\nAnswer: 112710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-28)\/12 - -2)*0. Suppose 5*x - 36 + 6 = v. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 42. Let a be 3\/(-6)*0 + (x - 16). Let l(m) = -m + 2. Let q be l(0). Solve 5*j = a - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 5, -246, -6, 1 in decreasing order.\nAnswer: 5, 2, 1, -4, -6, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 50*s**2 - 24*s**2 + 3*s - 31*s**2 = 0.\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 434 + 300314?\nAnswer: 301152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1 (c) 19 (d) 4 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/(-6))\/((-3)\/(-9)). Let n(h) = 1205*h**2 + 3*h - 1201*h**2 - h**3 - 6 + 0*h**3. Calculate n(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 133 (b) 0 (c) -1 (d) 2\/9 (e) 5 (f) 363 (g) -1\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.35, 4.1, 2, 0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 1280*z\/3 + 204800\/3.\nAnswer: 2*(z + 320)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -343*w**2 + 153*w**2 + 179*w**2. Let m(j) = 13*j. Calculate m(i(o)).\nAnswer: -143*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 85*s**4\/12 + 67*s. Let w(m) = -3*m**2. Calculate a(w(y)).\nAnswer: 765*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9143*d**3 + 3083*d**3 + 3111*d**3 + 3028*d**3.\nAnswer: 79*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by 64.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -20*d**2 + 17*d - 3. Suppose 190 = 10*s + 50. Let q = s - 13. Let y(t) = -61*t + q - 7*t**2 + 67*t - 2. Calculate 6*r(m) - 17*y(m).\nAnswer: -m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 96 = 0. What is the remainder when 193 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62302, 124568, 186834?\nAnswer: 249100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (84\/126)\/((1\/(-3))\/(-1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.016 + 33.984. Let p = t + -39. Let z(f) = -f - 3. Let v be z(-6). Which is the nearest to v? (a) 0.3 (b) 2\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 213*c.\nAnswer: -3*c*(c - 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, 5, -142, -8, 2\/5, 3 in descending order.\nAnswer: 178, 5, 3, 2\/5, -8, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3114)\/4152 + (3\/12)\/(1\/2023). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, e: 5, h: 3, n: 3}. Give prob of sequence nnhh.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7 - 6 + 0*g - 3 - 2*g + 3*g. Determine h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 3*r - 3. Let a be t(3). Suppose 4*i - 2 - a = 0. Solve -4*y + 14 = m + 2*m, -i*m - 5*y = -21 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2. Let z(v) = v + 6. What is z(h(g))?\nAnswer: -2*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3 + 8 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-2)\/9 + (-1160)\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -65 + 70. Find the third derivative of -232*s + 14*s**2 - 2*s**5 + 2*s**l - 23*s**6 + 235*s wrt s.\nAnswer: -2760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1959479 by -97.\nAnswer: -1959479\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -6, -11 in increasing order.\nAnswer: -11, -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b3552 (base 13) to base 4.\nAnswer: 10003311010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**2 - 712*w - 10368 = 0.\nAnswer: -162, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.00709 - 0.007086386. Round y to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4 + -1)\/(6\/100) is divided by (-378)\/(-22) + 2\/(-11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2, -12, -64, -172, -354, -628, -1012?\n\"Answer: -3*j**3 - j**2 + 10*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066044 (base 9) in base 7?\nAnswer: 4614013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/f**(2\/7))))**23 assuming f is positive.\nAnswer: f**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -9. Suppose w = -4*u + 14, v*w + 8 = 2*w. Suppose -z + 50001 = -5*x, 0 = -u*x - 0*z + 4*z - 40004. What is x rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/7, -78, 2\/11, -1 in ascending order.\nAnswer: -78, -1, -0.5, 2\/11, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 3:26 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48352\/(-4533)*1\/(-2)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 (base 13) in base 3?\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1396727 divided by 1.\nAnswer: -1396727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43166392 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {m: 1, o: 6, h: 1, x: 7}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 134582.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3))**10*o\/(o\/o**(-45))*o**37 assuming o is positive.\nAnswer: o**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(2\/7)*b))**(-22)*(b**(-1)\/b)**(43\/4))**(-8\/9) assuming b is positive.\nAnswer: b**(-1612\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 3*c - 5. Let z be (-7)\/(-1 - (-2)\/4). Let t = -10 + z. Let i be o(t). Solve -2*x + i*x + 2*a + 18 = 0, 4*x + 4 = a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*3.5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405) + (1*sqrt(405))**2 + -2.\nAnswer: 9*sqrt(5) + 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (56\/(-6))\/(3\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/2 + 10509240*v + 18407354229600.\nAnswer: 3*(v + 3503080)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2952983*-6.\nAnswer: -17717898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from twwwttwtwwwt?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:30 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = c - 27, -4*y = -5*c + 59. Suppose 2*j + 3*p - c = 0, -13*p = -j - 16*p + 12. Solve -5*x = 4*d + 33, 0 = 3*d + j*x + 12 + 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -20\/69?\nAnswer: -20\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -232 + 207.1. Let a = r - -24.4. Let x = 1 + -4. What is the second biggest value in a, -3\/5, x?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -l + 401263, 23 = 4*l + 11. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*t**3 + 1148*f**3*t - 18*f*t**3 - 10*f wrt f.\nAnswer: -6*f*t**3 + 6888*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 90*w**5 + 715*w**4 + 470*w**3 - 3925*w**2 + 1750*w = 0. What is w?\nAnswer: -5, 0, 1\/2, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/2)\/(7 + 9 + -19). Solve -w*x = 4*t + 28, -3*x + 9 = -2*x - 3*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118482 (base 11) in base 9?\nAnswer: 314352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 57036 = 4*r. List the prime factors of r.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -16 + (40\/120)\/((-14)\/3318).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r. Let n = 2 - r. Factor 1 + 2*o**4 - 7*o**4 + 4*o**2 + 2*o - 2*o**3 + 2*o - n*o**5.\nAnswer: -(o - 1)*(o + 1)**3*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 154, 340, 606, 958, 1402, 1944, 2590?\nAnswer: 3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dduluaaduqlluuuude.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {x: 1, p: 6, z: 4, w: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23343 + -13302031?\nAnswer: -13223133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + -6. Let d = -9 - u. Calculate the smallest common multiple of d and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -324 + 16. Calculate the smallest common multiple of u and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1101122012 + -1021212?\nAnswer: 1100100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l. Suppose m - 4 = 2. Suppose -2*v + v = i - 8, -4*v = -2*i - 14. Let t(j) = -m*j**2 + i*j**2 + 4*j**2. Calculate r(t(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2888746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in 5, 2, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -1145.\nAnswer: -45.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 to the power of 1\/7, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -8.8. Let f = -7.9 + m. What is the closest to -0.1 in -3, 6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 7145271?\nAnswer: 5\/7145271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1899263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120914 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 551549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 612866 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -4*h - 470 + 518, v - 3*h + 17 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1969978, -1969858, -1969752, -1969666, -1969606, -1969578?\nAnswer: -1969588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, 1, 302, 2, -5, -3 in descending order.\nAnswer: 302, 5, 2, 1, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -206\/216295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r - 5. Suppose -4*d = 3*x - 3 + 27, 4*d = 2*x - 4. Give v(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -81998287 and -81998282 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -77 + (-57 - -161)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331 + 333. Sort 1, -0.5, -2, g in decreasing order.\nAnswer: g, 1, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 66, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**4\/2 - 86081*p**3 - 7410627161*p**2\/2 - 29636999716*p = 0.\nAnswer: -86077, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -9 + -10 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28639043.\nAnswer: 89, 439, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2423 (base 9) to base 15\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 10. Let t be q(7). Suppose -t*r = -8 - 7. Suppose -26 + r = -f. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -166 - -170. Solve 0 = -0*o - 4*o + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4337247 to the power of 1\/2, to the nearest integer?\nAnswer: 2083","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58807?\nAnswer: 7, 31, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 383*u + 6. Let d be z(-7). Let h = -13326\/5 - d. Find the common denominator of h and 89\/66 + 2\/(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54716, 54714, 54698, 54668?\nAnswer: 54624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49199 is divided by 24595?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*a + 59*a + 46*a**2 + 13*a**3 + 18*a**2 + 84*a - 64*a**2.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from jmjcmfmbcfmmbbjmmf?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.480023 years in decades?\nAnswer: 0.6480023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*h**3*q**2 - 12*h**2*q**2 - 792*h**2*q + 2*h*q - 6*h - q**2 + 5237*q + 13 wrt h.\nAnswer: 786*h*q**2 - 24*q**2 - 1584*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/26 and -67\/65.\nAnswer: 130","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 {i: 2, q: 1, c: 1, r: 1, m: 1, u: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 8*p + 72, 7*p - 12*p = 6*c - 45. What is the nearest to 0 in c, 4\/125, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 1. Let w be i(-6). Let p(u) = -2*u. Let m(a) be the third derivative of a**4\/8 - 14*a**2. Determine w*p(o) - 3*m(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3 - (-22)\/6)\/1. Let y be -3*(6\/2 - z). Suppose -5*p = -y*o - o + 100, -2*p = -o + 28. Solve -4*r = -4*h - 0*h + 24, 3*h = 5*r + o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337850.\nAnswer: 2, 3, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = 0, -337 = i - 5*i - c. Suppose 0*m - i = -4*m + 4*r, r = 0. What is the least common multiple of m and 10*(-6)\/10*-1?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5764 + -28827\/5. Put 3\/2, m, -4, -0.2, -0.5 in decreasing order.\nAnswer: 3\/2, -0.2, -0.5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + -4 + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*g**2 + 218*g**3 - 238*g**3 + 49*g**3 to z*g**2 + x + o*g**3 + d*g and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 10001011101001110110?\nAnswer: 10001011101001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 less than -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1. Let q(x) = -x - 3. Suppose -3*h - 2 = 5*o, -o = o + h. Let l be 5\/o - 9\/18. Suppose -l*b = 3 + 17. Determine b*t(v) + 2*q(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*t + 5. Let j = 1839 + -1836. Which is the fourth biggest value? (a) 0.1 (b) t (c) -2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*o - 4698 + 211030. What are the prime factors of o?\nAnswer: 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 156 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (10 + 3) - 4. Let r = o - -23. Which is smaller: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 94, -2\/123, -0.4?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1007 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68670537 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4038 is divided by (-56)\/308 - 88800\/(-44) - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227 - 113*y**2 + 20*y**3 + 227 + 113*y**2.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -95 + (-146 + 251 - -135)\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6793752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + p - 771 + 774, -4*m + 2*p + 16 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -3\/4, 3, 5, 1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*t + 52 = 0, -3*s + t + 4*t = 7. Let a(g) = -10 - 8*g**2 + 6*g**2 - 5*g + 5*g**2 + g. Is a(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9607931, -9607937, -9607945, -9607955, -9607967, -9607981?\n\"Answer: -q**2 - 3*q - 9607927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6c011 + -35?\nAnswer: 6bdba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/10 - (-1078)\/70. Let m = 1 - -4. Suppose d = 5*f - 205, 2*d = m*f - 2*d - 190. Calculate the highest common factor of s and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(-2 + 5 + ((sqrt(1377) + -1)*5*-1 + 3*(sqrt(1377)*-1 + -1 - sqrt(1377)))**2).\nAnswer: -792*sqrt(17) + 333248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994100 rounded to the nearest 10000?\nAnswer: 2990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7 plus 0.14?\nAnswer: -21.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18483 or -36965\/2?\nAnswer: -36965\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 12 + 2*x + 12 - 7 to d + z*x and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36539059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148, -168, -484, -800, -1116, -1432?\n\"Answer: -316*k + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80903 - 49835. Suppose f = 24*q + 12*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 1249*n - 4786. What is the tens digit of f(37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**3 + 2*j - 6. Let h(k) = 7*k**3 - 2*k + 5. Suppose -101*t + 37*t + 320 = 0. Determine t*s(r) + 6*h(r).\nAnswer: 2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 147, 156, 165?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2450*a = 2447*a - 111. Suppose 2*x + 128 = -0*x - 5*r, -238 = 4*x + r. Let b = a - x. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = f + 9, 3*p = -66 + 72 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(108) + 3 + ((2 + sqrt(108) + sqrt(108) + 4)**2 - (sqrt(108) + 1 + -3)).\nAnswer: 144*sqrt(3) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 12. Suppose 0 = 7*w + 5*k + 1 - 20, 4*w - 11 = -3*k. Solve -4*c = -3*t - 0 + u, w = -2*c + 2*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:47 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 11*j - 8. Let b = 21 + -15. Is w(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/((k*k**(-2\/7)*k*k*k)\/k))\/k)\/k**(-2\/55)*k**(-2\/19)\/k**(-16) assuming k is positive.\nAnswer: k**(103996\/7315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 18*x - 592. Determine d(35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 24.9999989. What is i rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.34 * 0.5\nAnswer: 5.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3259.\nAnswer: 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -0.1, -0.5, -4 in ascending order.\nAnswer: -10, -4, -0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, n: 1, v: 1, g: 1}. Give prob of sequence xxg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2838, -6188, -9538, -12888, -16238, -19588?\nAnswer: -22938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**3\/6 - 46*f. Let d(l) = 5*l. Give d(k(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**3 + 5*k**3 - 5*k**3 - 5*k + 0*k**3 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 7327936.\nAnswer: 21983808","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14911918 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*c - 4 + 4 + 1748*c**2 + 1013*c.\nAnswer: 1748*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -27*s - 2*s + 16800. What is the highest common divisor of s and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.61*-0.65.\nAnswer: 0.3965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 18 - 7*h + 3*h + 6*h. Let s be d(-11). Determine n, given that 8*n - n**3 + 0*n - s*n - 3*n**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.39 - 1.53. Let q = 213.2 + -213. Is i at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 3*z + 8 + 2 = 0, 0 = v - 3*z + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (1*2)\/(422\/1899) - -26?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 373000, 746000, 1119000, 1492000, 1865000?\n\"Answer: 373000*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8.3 - 8. Let f = 8 + -11. Let x = 34 - 168\/5. What is the nearest to x in f, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4125 and 440.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686607 is divided by 391?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136 - 172 - (-1 + -62).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 39, 63, 95, 135, 183?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b - 17 = -1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - -14) - (-1 + 20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6931562.\nAnswer: 2, 11, 509, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1163*l**3 + 2*l**2 - 2*l + 1. Let j = 26 - 25. Let g be p(j). What is the tens digit of 1\/4 - g\/(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 394798154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*g + 5 - 5.\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 165.153 and 0.1?\nAnswer: 165.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4, 12*b - 7*b = -v + 4893. Suppose 39*u = -v + 48622. List the prime factors of u.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**(1\/4)\/g))\/g))\/g*g**2)\/(g**3*g*g**(3\/5))*(g\/((g**(2\/7)*g*g)\/g))**(-21)*(g\/g**0)**2 assuming g is positive.\nAnswer: g**(93\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 50*p**3 + p**2 + 50*p.\nAnswer: -p*(p - 1)*(p + 1)*(p + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -516, -1034, -1554, -2076, -2600?\n\"Answer: -i**2 - 515*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202698 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3093 - 5308 + 537)*(m + m + 3*m) to the form f + n*m and give n.\nAnswer: -39320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622064540?\nAnswer: 2, 5, 31103227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 - a?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**2 + 8*o**2 + 3*o**2 + 2 - 23*o to s + w*o + b*o**2 and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/(-187) - 150210\/(-85). What is the greatest common factor of a and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(2) - (-4 + sqrt(50)))) + sqrt(2) + sqrt(2))**2 - sqrt(98)*2.\nAnswer: -70*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6426, -8798, -12750, -18282, -25394?\nAnswer: -34086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -119, -67, -15, 37?\n\"Answer: 52*m - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/168 and -181\/63341712.\nAnswer: 63341712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 + 273447*s\/5 + 1914276\/5.\nAnswer: -3*(s - 91156)*(s + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 431114 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11831?\nAnswer: 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (5 + 1)) + (0 - -5 - 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 572 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 1. Let t(s) = s + 5. Suppose 5 - 17 = -6*w. Determine w*o(a) - t(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**4\/24 - i**3\/2 - 7*i**2. Calculate h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:37 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + j + 16 = 0. Let z(q) = -q**3 - 2*q**2 + 4*q + 3. Let n be z(-3). Suppose n*w + 16 = j*w. Solve w*g + 10 - 32 = -3*f, -f + 10 = 2*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1393347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 14) in base 13?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184671997*g + 369345342*g - 184673344*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 519132983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12512 + -12509. Factor 0 - 3\/2*y + 0*y**2 + 3\/2*y**h.\nAnswer: 3*y*(y - 1)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 18*h**2 + 17*h + 17. Let i be n(-17). Let t be (i - 1)\/4 - 6. Sort 4, t, 14, -3 in decreasing order.\nAnswer: 14, 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335689449?\nAnswer: 3, 111896483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53725750 + 58453610209\/1088. Let y = -57247 - -3663665\/64. Let j = y - w. What is the common denominator of j and -71\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 749 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 178469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 144753007?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1437464 (base 12) in base 6?\nAnswer: -222535004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 divided by -14?\nAnswer: 201\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**3 + 908*v**2 - 65672*v - 12766080 = 0. Calculate v.\nAnswer: -240, -109, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f - 137. What is j(44)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13768 divided by -2.\nAnswer: -6884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -304 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101010010110001010 (base 2) to base 13.\nAnswer: -60c44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3133348 not equal to -3133349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 45, 38, 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.097 (b) -2\/9 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 150 = -5*n - b, -5*b = -2*n - 60. Calculate the common denominator of n\/(-10) + 246\/(-20) and 63\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v - 5*v)*(0 + 12*v + 0)*(-4*v + 2*v + 5*v).\nAnswer: -108*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333460 (base 7) to base 12.\nAnswer: 2a0b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c = -6*c - 42. What is the hundreds digit of 0 - (-694)\/c - (-5)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*b + 3*b - 1, 4*n = 3*b - 25. Let f = -1 - n. Which is smaller: -0.6 or f?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143487 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 - 18 + 18.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.2985774 rounded to 2 dps?\nAnswer: -16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5055.1 - 5055. Which is the biggest value? (a) 42 (b) o (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/20 + h**4\/6 - 2*h**3\/3 - 9*h**2\/2 - 191*h + 3. What is i(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 23*n. Let o(f) = f. Determine y(o(u)).\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**22*s*s**1*s**(3\/4)*s**(-2\/9)*s**4*s*(s*s\/(s**7\/s))\/(s**(1\/9)*s) assuming s is positive.\nAnswer: s**(293\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (7 - (-7 + 39))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 237 and 816.\nAnswer: 64464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132552512 divided by 19?\nAnswer: 6976448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f. Let i be 6\/27 + (-112)\/18. Let t(o) = 8*o**2 - 7*o - 2. Let h(p) = i*w(p) + t(p). Let q be h(2). Round q to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 4109 - 1246. List the prime factors of f.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 205496 + -140208. What are the prime factors of v?\nAnswer: 2, 8161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 2:04 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + z = -87, 4 = 2*z + 2*z. Calculate the smallest common multiple of 16 and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*z - 825*z = 551 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**2 - 6*k + 9. Let v(r) = 3*r**2 + 7*r - 10. Let j = 18 + -14. Let f(n) = j*a(n) + 3*v(n). Solve f(c) = 0 for c.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*c + 5. Solve -y = -c - 2 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 5*q**2 + 4*q - 2. Calculate l(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 2\/(-2))*0. Let s = -466 - -470. Suppose i*w + 111 = 2*j - 3*w, -s*w = -4*j + 216. 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 the fourth biggest value in 0.74, -0.02, 2306, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 0*v - 5\/6*v**3 - 1\/24*v**4 - 11*v**2 + 0. Differentiate t(x) with respect to x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1005*t + 333*t - 936*t + 78*t - 7*t.\nAnswer: -1537*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 5*h**2 - 9*h + 2. Determine u(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*l - 191*l**2 + 4 + 70*l + 40*l**2 - 3*l + 38*l**3 + 103*l.\nAnswer: (l - 2)**2*(38*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41a6 (base 16) to base 9\nAnswer: 25043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 10*w - 39. Let k(p) = -3*p**2 + 21*p - 79. Let c(d) = 2*k(d) - 5*m(d). Let j be c(-11). Solve 0 = a + 3*q - 4, 4 = j*q - 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 10. Which is greater: q or 14\/5?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111010 (base 2) in base 12?\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 - -387. Calculate the remainder when n is divided by 36.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -27*p - 0 + 4. Is -26\/101 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 8*r - 23. Let x(z) = 2*z**2 + 9*z - 24. Determine -6*f(v) + 5*x(v).\nAnswer: 4*v**2 - 3*v + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z*z**(-2)))\/(z**(2\/5)\/z))**(-3\/5)*((z*z*z**(-3)\/z*z)\/(z**(3\/4)*z*z))**(11\/4) assuming z is positive.\nAnswer: z**(-4509\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + y + 2, -5*y + 47 = -2*b + 23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005616 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 45. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 667746.\nAnswer: 2, 3, 37097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 58623*c + 117141. Calculate p(-2).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 10*k - 1838. Let s(j) = 7*j - 1225. Give 5*f(p) - 7*s(p).\nAnswer: p - 615","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)\/((z**(4\/3)\/z)\/z))\/(z**(-1))**(-37))\/((z**(-4\/5)*z\/z**5)\/(z**(-1)\/z)**(-25)) assuming z is positive.\nAnswer: z**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4150, -1\/52, 10.\nAnswer: -1\/52, 10, 4150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**2 - y**2 - 8*y**2. Let s(g) be the third derivative of -7*g**5\/20 + 4*g**2. Determine n(s(h)).\nAnswer: 441*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 18 = -5*z. Suppose -2*y = z*o + 6, -3*y = 2*o - 2 + 11. Let m = 33 + y. Solve -5*s - m = -5*g, 4*s - 4*g + 12 = -3*g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3828 or 3830?\nAnswer: 3830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.06167 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by -1063669.\nAnswer: -84\/1063669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = h + h. Suppose -189*n = -h*n - 216. What is the remainder when n is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 1185 = -865. What is the greatest common divisor of 72 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 8*x**2 + 6*x - 4. What is the tens digit of w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*9*(-10)\/425*17.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 4)*(1 + 1 - 6)*(3 - 4 + 3)*(-1 - 1 - 1)*((-1 + 2 - 3)*(2 - 2 + s) + 1 - s - 1 + 1 - 1 - 2*s).\nAnswer: 360*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.38 and -9262121.\nAnswer: -9262120.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 13*i**3 - 27*i**2 - 24*i**3 + 35*i**2 - 21*i**3. Let b(m) = -11*m**3 + 3*m**2. Determine -8*b(s) + 3*q(s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16649161, 16649152, 16649143, 16649134, 16649125?\n\"Answer: -9*t + 16649170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)**(-38)*((h**(-9\/2)*h)\/h)\/h*h\/(h*h**9)*h)**(4\/7) assuming h is positive.\nAnswer: h**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvgvgvvgvvvgvvvvv. What is prob of picking 3 v?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 + g**3 - g**3 + (6*g**2 + 13*g**2 - 39*g**2)*(-2*g + 0*g + 0*g).\nAnswer: 42*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1458) + sqrt(1458)*4)\/(sqrt(150) - (sqrt(150) + (sqrt(150) - (sqrt(150) - (sqrt(150) + sqrt(150)*6)))) - sqrt(150)).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + k - 1. Suppose 34 = -5*x - 2*n, 9*x + 4*n = 4*x - 38. Let u(t) = -2*t**3 - 4*t**2 + 6*t - 15. Calculate x*v(d) + u(d).\nAnswer: -2*d**3 + 2*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230 - -33020021123?\nAnswer: 33020012233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(98) + -1 + (sqrt(50) + sqrt(2) + -3)**2 - (1*sqrt(108))\/sqrt(6)*-2.\nAnswer: -23*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 1 - 3 = -4*y, -2*y + 16 = 4*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5\/4 + 313*f**4\/4 + 21951*f**3\/4 + 617859*f**2\/4 + 1835865*f + 6980904 = 0 for f.\nAnswer: -228, -27, -24, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pxxxxxpxxx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377164440.\nAnswer: 2, 3, 5, 19, 67, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 284 + -128. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8 = -z, 5*z - 394*s = -398*s + 95. Solve z*q - 86 - 6 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4324556158.\nAnswer: 2, 13, 59, 2819137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*k + 411*k + 220*k - 78*k = 25297 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6197, 12396, 18595?\nAnswer: 24794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46*p - 26*p + 49*p)*(p - p + p) to the form f + c*p + j*p**2 and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 384.7\nAnswer: 19.235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-1))\/(-10) + (5 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (29 - (-14 - (2 + -11 - -2))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -13 (c) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (135\/(-10))\/27*-1984.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(153) + sqrt(153))\/(sqrt(9) - sqrt(18)\/sqrt(8) - sqrt(9)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -231, -182, -91, 48, 241, 494?\n\"Answer: n**3 + 15*n**2 - 3*n - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/2)\/(j\/(j*(((((j\/j**(4\/9))\/j*j*j)\/j)\/j)\/j)\/j))*j**6*(j**(1\/4)\/j)\/j assuming j is positive.\nAnswer: j**(119\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51022 (base 8) to base 13.\nAnswer: 9742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 - 1 - 11)*(-2*v - v + 4*v)*(3*v**2 + 0*v**2 - 4*v**2) to x*v + h*v**2 + m*v**3 + b and give m.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1137 divided by 4.\nAnswer: 1137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 4, d: 5, b: 2, t: 1, y: 1}. Give prob of sequence ad.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 - 5*l**2 - 6*l - 8. Let s be j(7). Suppose -2*z + 0*i - 2*i - 24 = 0, 4*z = i - s. Is 8 a factor of 2\/(-12) + (-194)\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by ((-76)\/12 - -4)\/((-476)\/2040).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -264 less than -762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 32*u + 91. Let p be k(29). Let o be p + 11\/(-2) - 3\/(-2). Suppose 5*j = j + 8. Solve 0 = c - j - o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + n = -18, -5*n = -3*k - 0*n + 22. Suppose 94 = 4*l - 2*t, 1 = -l + k*t + 7. Calculate the highest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -22. Suppose -x = 199 - 975. Suppose -h*c + x = -3*c. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p**2 + p + 1. Let q be n(-1). Let i be 10\/(-35) + 5\/(-7). Let m = i - q. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 91, 2, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37610169 a multiple of 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2290\/3 + 764. Let v be -3 + 2 - (1 - 0). What is the closest to -18 in -0.1, v, d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5579120.\nAnswer: 2, 5, 69739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, y: 1, c: 3, a: 3, t: 4, w: 2}. Give prob of picking 1 r and 2 t.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -887 + 900. Let l(w) = -7*w + 97. Let i be l(g). What is the greatest common divisor of i and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*o - 5*f, o - 4*f = -10 + 36. Let z be o\/81 - (-4)\/(-18). Let u(k) = -k**3 + k**2 - 16. Determine u(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 8*l - 30. Suppose 16*a - 1755 = l*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*b + 20 + 16. Let l(i) = 55*i + 125. What is the units digit of l(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -4 (b) -2\/11 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 14. Let c(a) = 5*a**2 + a - 1. Let b be c(1). Suppose 0 = -5*u + b*v - 20 - 20, u + 10 = -v. What is the units digit of m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-13 - (55 - 91)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 6. Let w be y(-7). Let k = -932\/2255 - -6\/451. Which is the nearest to k? (a) 0 (b) w (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63223344 divided by -24.\nAnswer: -2634306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 701 - 691. Suppose -13 + 5 = 2*k, 2*k + 228 = 5*u. Suppose -14 = 3*m - u. Calculate the smallest common multiple of m and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 333214344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t**2 + t - 3. Let h be s(2). Put 0, -5, h, 2 in ascending order.\nAnswer: -5, 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - -1 - (258 + (-206 - 15)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*l + 5. What is the common denominator of 8\/3 and (-178)\/48 + (-15)\/6 + l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14)\/(-4*(-6)\/21).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzzpllszzlzpzs. Give prob of picking 2 z and 1 l.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/364)\/((-10)\/6)*10\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -604*p + 1692. Give h(3).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001100100101 + 101?\nAnswer: 11011001100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 101122001?\nAnswer: 101122000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 = 18. Suppose -4*i - g - 46 = 0. What are the prime factors of (i\/2)\/((-2)\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 2571*a - 10236.\nAnswer: -3*(a + 4)*(a + 853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 20 = -2*x. Suppose -s - 229 = -x*b, -2*s - 241 = -5*b + 2*s. Calculate the highest common divisor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + b + 2 = 0, -2 = -2*z + 2*b + 2. Let j be (1 - z)\/(1\/23). Suppose 9*a + j = 104. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001642816 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2. Let w = -12 - -27. Let b = 17 - w. Let g(p) = 7 + p**b - 5 - 2. Give g(c(j)).\nAnswer: 25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -302 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 2*g - 1702794 + 1702794 + 88*g**2 as i*g**2 + t + u*g + o*g**3 and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225207 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + 52 - -6) + 27 + -19.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/129 and (-8)\/90*(-7446)\/(-272).\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 21*m - 518. Let h = m - -77. Solve q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625) + (-3*(-2*sqrt(625) - sqrt(625)) - sqrt(625)))\/(-2*sqrt(125)*-3 - sqrt(125) - sqrt(125)) + 2.\nAnswer: 2 + 9*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/2 + 11*u**3\/2 + 43*u**2\/2 + 69*u\/2 + 18 = 0.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-276)\/(-24) - 8)*(-2916)\/189?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -17*c**2 - 13*c - 13. Let t = -118 + 151. Let b be 86\/6 - 44\/t. Let s(a) = 8*a**2 + 6*a + 6. Give b*s(z) + 6*m(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -662 - -670. Let x be l + (0 - 0) + -5. Solve -x*c - 2*c + 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/(-17) - -5 - (-14)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - 14. Let u = 34 + -59. Let r = b - u. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**6\/10 - y**5\/10 + 131*y**3\/2 - 412*y. What is the second derivative of a(n) wrt n?\nAnswer: 36*n**2 - 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(9 - 9 - 2*g) - 3 - 3*g + 3.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-16))\/(-2 + 3). What is the common denominator of y + 538\/(-495) - 700\/3150 and 73\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t + t)*(3 - 4 + 3)*(5 + 3 - 2).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1747991?\nAnswer: 7, 17, 37, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -9 + 4 + -8 - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2048 divided by -8\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 107, 173, 271?\nAnswer: 401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/30966 and -116\/1365.\nAnswer: 1083810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20762.\nAnswer: 2, 7, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 1:25 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -2\/5, 15186, 0, -0.1, -1.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-904)\/1356*(-150)\/16)\/(10\/48)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/20)\/i**(-12) assuming i is positive.\nAnswer: i**(241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 38*o**2 + 4*o - 152. Determine u(38).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53682?\nAnswer: 2, 3, 23, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + u - 60 = -1038, 0 = 5*b - 3*u - 2448. Calculate the remainder when b is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(160))\/(sqrt(15)\/sqrt(3)*5).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10010011001001 (base 2) to base 13\nAnswer: 4395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(2)*-3)\/(-1*sqrt(75)).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -621 (base 8) to base 16.\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-18 - -32) + 6\/(-1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -121, -186, -253, -322?\n\"Answer: -a**2 - 62*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = y - 26. Let h(b) = -b**2 - 15*b - 17. What is the units digit of h(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0758 and -8674.\nAnswer: -8673.9242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 65501379, 65501377, 65501375?\n\"Answer: -2*y + 65501381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403393524 to the power of 1\/2, to the nearest integer?\nAnswer: 37462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 77*j + 84*j - 70 + 83*j - 235*j. Let d(m) = -14*m + 108. Let a(s) = -5*d(s) - 8*k(s). What is a(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z. Suppose -w = -2 - 1. Suppose z = w*d - 2*d - 2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c9094 - 0?\nAnswer: c9094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6\/11)*g*g**(3\/7)*g*g*g)**41*((g**1)**(-4\/3))**(-2\/5) assuming g is positive.\nAnswer: g**(231856\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -468 (base 11) to base 12.\nAnswer: -3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let x(o) = -4*o - 1. Let l(f) = 4*s(f) - 2*x(f). Is l(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79\/402 + 2\/67. Let j = 2 + -2.5. Sort j, h, -2\/9 in increasing order.\nAnswer: j, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67353390 divided by -11142\nAnswer: -6045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 2944?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2*c*c)\/c**(-2\/23))**(-38)*((c*c*c\/(c\/c**(-2)*c)*c)\/(c*c**(-1\/7)*c*c))\/(c**(-2\/5)*c)**(-19) assuming c is positive.\nAnswer: c**(-118143\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2017 and 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - -98. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c**2 - 3*c**2 + c**2 + 6*c**3 wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1858790 and -1\/8070?\nAnswer: 5576370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 20 = -2*v, 13 = -4*r - v - 0. Is 1242\/3 + 6\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 911*a + 1531*a + 11 - 531*a - 12 to the form g*a + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 0.61481528765?\nAnswer: 3.61481528765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2199509 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y + 34*y - 18*y - 1 + 1 + 57*y.\nAnswer: 47*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007126 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 6*i + 22. What is the remainder when n(-4) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 68\/2801463 and 17\/7182.\nAnswer: 958100346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150.54 + 149. Let h = -0.54 - w. Which is the closest to -2\/5? (a) 3\/7 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(8\/22) - -2. Let h = -5 - a. Solve -5*z + 10 = h*m, -m - 8 = 2*z - 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = g + 10. Let x = -1 + 6. Let t = x + -4. Solve -3*q - g = t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 - -2.05. Let x = -74 + 164. Let m be (-6 - (-534)\/x)*6. Sort d, -6\/5, 4\/5, m.\nAnswer: -6\/5, m, 4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -11, -1, -12 in decreasing order.\nAnswer: 5, 3, -1, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-119)\/(595\/50))\/((7\/(-6))\/(-7))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*j - 84*j + 4*j as z + f*j and give f.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = 3*i + 5*n, 0 = -i + 2*n + 54 + 90. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 789 and 411534?\nAnswer: 108233442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, m: 2, v: 1, g: 1, q: 5}. Give prob of picking 1 v, 1 q, and 1 g.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c**2 + 115*c + 457. What is h(-5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1980*m - 1044*m + 1190*m to the form o*m + q and give o.\nAnswer: -1834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*(-792)\/15312?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1805, -1794, -1771, -1730, -1665, -1570, -1439, -1266?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -560 - -561. Let q = -117 + 119. Which is the biggest value? (a) -2 (b) o (c) 0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-6 - 2*sqrt(98))**2.\nAnswer: 2888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3 + 5\/2*t**2 + 0 + 7*t. Let v(m) be the first derivative of 11*m**2\/2 + 9*m + 4. Determine 7*h(n) - 4*v(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-138)\/506)\/((-6)\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f = -58*f - 98*f + 3799 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 - 5215368*w - 20861408.\nAnswer: -4*(w + 4)*(w + 1303838)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c*c**(2\/13)*c*c)*c*c)\/(c\/(c*c\/(c**(-2\/9)\/c)))*(c**4\/c)\/((c**(2\/3)\/c)\/c) assuming c is positive.\nAnswer: c**(749\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -10\/11, 10, 0.37, 6, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - 9975\/(-9). Let g be -5 - 18\/24*4 - 703. Let i = g + q. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-9)\/48*-4). Suppose -4*q = -0*q - 2*g - 2, 4*q - 4*g = h. Suppose q = -3*z + 4*z - 72. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.86562 meters to kilometers.\nAnswer: 0.02586562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 - 4)*(0*a + 3*a - 4*a) + (-2 + 4 - 1)*(-4*a - 10*a + 7*a) - 13*a + 394 - 394 + (4 + 2*a - 4)*(2 + 2 - 2) to j + h*a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -913 + -284?\nAnswer: -1097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73599878.\nAnswer: 2, 11, 71, 47119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 460756 divided by -907\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 3:24 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75303.\nAnswer: 3, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 7 = 5*d + 5, 0 = -d - 2*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178*c**2*f**3 - c**2*f**2*x + 398*c**2*f**2 - 2*c**2*f*x - c*f - 2*f**4 - 2*f**3*x - 9*f wrt f?\nAnswer: 1068*c**2 - 48*f - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 9) to base 2\nAnswer: 111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.077278739 and -0.04.\nAnswer: -0.117278739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (9\/30*(-8)\/18)\/(449\/(-37716))\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 25*s**2 - 12*s - 14. What is the units digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 910884916.\nAnswer: 2, 23, 9900923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 73.5 - 73. Which is the second biggest value? (a) h (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 47 = -4*m + 4, -4*x + 9*x = -5 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (148 - 146) + 4\/6 - 2. Which is smaller: m or 9500?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*g - 10 = 0, 2*f = -3*f + 5*g + 25. Let m be (-5)\/25 + 732\/f. Let i = 108 - m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/273, 1\/3, 3 in decreasing order.\nAnswer: 3, 1\/3, -4\/273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006477311 rounded to 6 decimal places?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 400\/43487?\nAnswer: 400\/43487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 24*t**2 - 63*t + 10. Give p(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (8 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 0*b + 2\/3*b**3 + 1\/24*b**4 + 3*b**2 + 0. Calculate the remainder when 42 is divided by r(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5473 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65 and -811484?\nAnswer: 811549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + sqrt(75) + 3*sqrt(75) + 0.\nAnswer: -6 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34000 is divided by 629?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -17. Suppose 60 = 2*d + 3*d. What is the remainder when q is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001560149 rounded to 6 dps?\nAnswer: 0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -6*b. Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 431.83 + -432. What is the second biggest value in -5, -1, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/19188 and -161\/338988?\nAnswer: 1016964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 257*v - 17. Let b(x) = 128*x - 10. Determine -5*b(r) + 3*c(r).\nAnswer: 131*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -715768, -715759, -715750, -715741, -715732?\nAnswer: -715723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259234753*0.4.\nAnswer: -103693901.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by -325\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 71\/(-10) + (286\/11 - 19)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 - 32 = 7*i. What is the remainder when 121 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 168\/96 - 10\/(-8). Is (1\/o)\/(50\/1666950) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 - 60*t**2 - 3*t + 56. Let z be u(20). Let j(q) = q**3 + 3*q**2 - q - 3. Determine j(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 6*l - 8. Give k(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1142 - -320?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-7)\/7*(-3)\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 12*t. Let a be b(13). Suppose -2*k + 5*k = -n + a, 5*k + 52 = 4*n. Calculate the remainder when 23 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j - 0*j. Suppose 2*r = -2, 0*n + 5*r = j*n - 56. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*o + 572 + 114 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -58 + 56 + (1 - 3) - -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3521.045 rounded to 0 decimal places?\nAnswer: 3521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1340 + 433?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, -28, -90, -132, -154?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25899 + 12.\nAnswer: 12.25899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 6*o - 6, -7511 = -3*q - 7523 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + -4 + (-24 - -23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3729361 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 + -919\/5. Suppose d = -3*t - 42, t - 4*d + 9*d + 28 = 0. Let f be (15 + 102\/(-12))*(-4)\/t. What is the second biggest value in z, f, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 8 = 7. Let z = -5083\/2 - -2493. What is the common denominator of ((-19)\/t)\/((-4)\/10) and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.13518729 to one dp.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -73*c**2\/2 - 151*c + 176. Let n(g) = 1023*g + 2112. Let q(k) = 4*n(k) + 55*u(k). Find the first derivative of q(o) wrt o.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -59, -132, -237, -380?\n\"Answer: -l**3 - 7*l**2 - 19*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 + 34*f**2 + 35*f + 20. Let r be w(18). Let l be (290\/15 - 18)\/(r\/3). Factor 1\/3*s**l - 13\/3*s + 0.\nAnswer: s*(s - 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/40650820 and -71\/146342952?\nAnswer: 731714760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 1)*(-5 - 3 + 5)*(315 - 315 - 15*w**3).\nAnswer: 225*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333201102 (base 4) to base 10.\nAnswer: 260178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 12 = -3*r - 4*w, w = 4*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -29.8. Let o = -0.15 + y. Let n = o - -0.39. Which is smaller: -2\/5 or n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*t**2 + 12300*t - 3512.\nAnswer: -4*(t - 439)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*l + 3*p, -4*l + 164*p + 24 = 160*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-18)\/(-1) + 39 + (97 - 149) + 17.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*z + 11 - 9 - 1 wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 614.93 - 623. Let q = 2.25 + y. Round q to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4737078077 to the power of 1\/4, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k + 51. Let s be f(9). Which is the third biggest value? (a) 0.05 (b) -3\/5 (c) 4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*h**3 + 76*h - 76*h - 2*h**2)*(-h - 2 + 2)*(-41 - 47 + 89) in the form m*h + j*h**3 + b*h**4 + w + n*h**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2414.82 - -2318. Let f = o + 96. Round f to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16941945 and 68730.\nAnswer: 33883890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -447*q - 21012. Determine v(-47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 0*r + 2*r)*(-5 + 1 + 2)*(-3 + 5 - 5)*((1 - 2 + 0)*(7 + 7 - 2) + (1 + 3 - 2)*(-5 - 4 + 6))*(-2*r - 6 + 6).\nAnswer: -648*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95835.\nAnswer: 3, 5, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 216\/28*(-693)\/99\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:23 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -72*r - 3. Let x be h(-8). Let u = x + -1787\/3. Calculate the common denominator of u and -5\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -197 + 142*o**3 + 3*o**2 - 5*o**2 + 2*o**2 + 160 in the form w*o**2 + d*o + c + u*o**3 and give c.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**3 - 9*y**2 - 2. Let g be f(2). Suppose 21 = h - 4*v, 2*v - 1 = -h - g. Let s be (-5)\/(1\/(1\/(-1))). What is the closest to 2 in h, -2\/21, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/6))\/a*a**(14\/9)*a assuming a is positive.\nAnswer: a**(43\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 233201508 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -0.3, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((6 - 1) + (-10 - 2) - 6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2348\/7 - -336. Let x = 8 + -8. Let t = x + -1. Which is the closest to 2? (a) t (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -85912.8.\nAnswer: -171825.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 35*t**2 - 18*t. Determine k(-17).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -466, 0.08, -2\/13, 51 in increasing order.\nAnswer: -466, -2\/13, 0.08, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127794308*j**6*p - 1131859*j**2*p wrt j?\nAnswer: 15335316960*j**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -324094830125.\nAnswer: 324094830123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqxvqllllookxxl. What is prob of sequence lxo?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115 and 113.9?\nAnswer: 13098.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1342444, -1342433, -1342422, -1342411, -1342400, -1342389?\n\"Answer: 11*d - 1342455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 5*h. Suppose 153 + 2022 = -15*p. Let s = 129 + p. Is h <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 9:01 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*l + 2*u - 12 = 390*l, -5*l + 4 = 3*u for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77\/(460845\/(-270)))\/((-2)\/(((-448)\/(-12))\/4))?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 8934. Let g(x) = -240*x. Give a(g(v)).\nAnswer: -480*v + 8934","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70 - -73. Let t be ((6\/6)\/(-3))\/((-1)\/n). Solve 2*c - 4*x = 36 - 8, c = -x - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.974255 - -19.929. Round s to 4 dps.\nAnswer: -0.0453","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 21101222121?\nAnswer: -21101222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39285 is divided by 2182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, z: 10}. What is prob of picking 2 z?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 309516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 - -0.06. Let q = 0.6 - s. Let m be -8*((-1)\/14 - 0). What is the nearest to 1 in 0.4, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*i**2 + 132*i + 108.\nAnswer: 4*(i + 3)*(8*i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**3 - 50*m**2 + 466*m + 55. Calculate q(7).\nAnswer: -1877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - 2*c + 1. Let i be s(2). Solve 0 = 5*d + 5, b - d - d - i = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 1, v: 1, u: 2, z: 1, y: 2}. Give prob of sequence ru.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 5 - 4)\/(-2). Suppose q*h - 100 = -4*h. What is the remainder when 72 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.97 - -8. Let y = 604 + -604.07. Let g = q - y. Which is smaller: -5 or g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7173*l**3 - 7178*l**3 - 2*l**2 + 2*l + 132 + 14349*l**3 to y*l + n + b*l**3 + f*l**2 and give n.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 983663?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 - 5*y - 3. Let n be r(-4). Solve 5*x = -2*l - n, -l = -5*l + 16 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 4826?\nAnswer: 48260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 38*y**2 - 3*y - 20. Let c be j(6). Suppose 6*m - 16*m + c = 0. What are the prime factors of m?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/9 + (-21)\/(-27). Calculate the remainder when 745 is divided by (-76 - -75)\/(y\/(-44)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 13*c**2 + 2*c - 15. Suppose -35 = -3*b - 0*b - q, 2*b = 3*q + 38. Let z be f(b). Suppose -z*u - 1925 + 10835 = 0. Round u to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33128, 131109, 294414, 523043, 816996, 1176273, 1600874?\n\"Answer: 32662*g**2 - 5*g + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 250 = -94*t + 2*f, -4*t - f - 22 = -26 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 7:09 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 10:07 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 796045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6703 and 51?\nAnswer: 341853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2129 divide 74491739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 262 - 249. What is the remainder when 73 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2671978 millennia to years.\nAnswer: 267.1978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 409*b**2 - 21*b + 12. Let g be c(3). Calculate the greatest common divisor of g and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 17*i**3\/3 - i**2 - 3*i - 403. Let n = 0 + -2. Is p(n) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4750876 is divided by 1987.\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*((sqrt(539) + -1)*5)**2 - (0 + ((sqrt(539) + 1)**2 - sqrt(539) - sqrt(539))*6 + sqrt(539))).\nAnswer: -2058*sqrt(11) + 100440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -21 + 3*c - 1\/2*c**2. Calculate a(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*u + 267 = 2*n, -4*u = 2*n + 190. Is -91 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 + 2*i**2 + i**2 + (i - 7*i + 2*i)*(-39*i - 1355 + 676 + 680).\nAnswer: 161*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 2:58 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -3. Let l = t - 9. Let f(g) = g**2 + 4*g + 2. Let d be f(-4). Put 4, l, d in ascending order.\nAnswer: l, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 188*x**4 + x**2 + 3*x + 230 wrt x?\nAnswer: 2256*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, 3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 1088*p - 1090*p + 20, 0 = 2*p + 2*b - 20. Solve 5*n = 5*u + p, 2*n - 3*n = 5*u + 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + j - 14. Let m be h(-6). Suppose 3*q = -1 + m. Let k = q - -103. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*b - 8 = 128*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2))**39*g**(2\/17)*g**(-4) assuming g is positive.\nAnswer: g**(531\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*w + g + 16, 3*g - 32 = -4*w. Suppose 0 = 3*y + w*p - 460, 2*y - 4*p = 4*y - 306. What are the prime factors of y?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/35 + -2)*42\/4. Let i(s) = -5*s**2 + 11*s - 22. Let z(b) = -b**2 + 2*b - 4. Let m(u) = d*i(u) - 33*z(u). Let g(r) = 16*r**2. What is g(m(k))?\nAnswer: 144*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -23. Solve k = g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/63)\/2*(-2700)\/2250.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11\/265, 5, 2, -0.3 in descending order.\nAnswer: 5, 2, -11\/265, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*l - 15 = 0, i + 0*i - 3 = 4*l. Suppose -62 + 8 = -i*a. Suppose 3*h - 9 = 0, a - 6 = 3*d - 4*h. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0.5, 19, -22\/15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 284493000 rounded to the nearest one million?\nAnswer: 284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2070 = -111*b + 39 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7850541 is divided by 1989?\nAnswer: 1947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 6004 and 3.21744237.\nAnswer: 6007.21744237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 - b**3\/3 + 101*b**2\/3 - 33*b.\nAnswer: -b*(b - 9)*(b - 1)*(b + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 7*y**2 + 4. Let s be ((-4)\/1)\/(2\/3 + 0). Determine g(s).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Which is the smallest value? (a) 0 (b) 1\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1110*w**3 + 1390*w**3 - 844*w**3.\nAnswer: 1656*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 2*d + 12 = 0, 196*d - 20 = 5*g + 188*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 14. Suppose -13*m - l = -15*m. Suppose -16 = 3*q + 4*f - 101, 3*q - m*f = 125. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roroeoororioeoooooo. Give prob of sequence oo.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 165 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13212 divided by -565.\nAnswer: 13212\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-8))\/1*-28. Let u be 5\/k + (-45)\/(-21). Solve 11 = -u*z + 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23a (base 12) to base 15\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5252*f**4 - f**3 + 48647?\nAnswer: -21008*f**3 - 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3*-0.11.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2250?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665*k - 2470 = -570*k. Factor 0 - 5\/2*t**3 - 1\/2*t - 2*t**k - t**4.\nAnswer: -t*(t + 1)**2*(2*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2905?\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 times 18418?\nAnswer: 4144050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in -16, 11, 269?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -37 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -50*5\/((-100)\/(-8)). Let h = -17 - g. Let p be 3*h*(-4)\/9. Which is the smallest value? (a) -2 (b) 1\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) 678 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(114)\/sqrt(6)*-2 - (sqrt(304) + -1)))**2.\nAnswer: -12*sqrt(19) + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 16) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + 3 + (sqrt(1377) - (-3*sqrt(1377) + sqrt(1377)))*-2*4)*6)**2.\nAnswer: -995328*sqrt(17) + 456864768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Let p(v) = 5*v**2 + 2 - 4*v**2 + v + 3*v + 1. Let i be p(-3). Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1023992 rounded to 3 decimal places?\nAnswer: -1.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) 4 (c) 3 (d) 0.4 (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 36*s = -154 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1431 in 3, -133\/2, -2\/13, -1\/2, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2770545m in centimeters?\nAnswer: 27.70545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 11. Let p(k) be the second derivative of k**3\/3 - 3*k**2 - 104262*k. Let v = -2 + 7. Determine v*p(f) + 3*l(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 720, 1415, 2110?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2 + 3*u + u**2 - 2*u**2 + 3*u. Let l be w(6). Let t(y) = -y + y**2 - y + y**l + y**2. Let m(r) = 4*r**2 - 3*r. Determine -2*m(f) + 3*t(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -83. Suppose -24*n = -d*n + 54. What is the first derivative of -3*h + 3*h - n*h**2 + 12*h**2 - 5 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 2*t. Let b(y) = -9*y**2 + 5*y. Let n be (-2)\/(((-64)\/12)\/8). Suppose -n*k - 4*h = 0, -3*k = -6*h + 5*h + 15. Determine k*b(p) - 10*z(p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**4\/12 + m. Let d(y) = -y - 1. Let z(r) = 6*r + 2. Let k(c) = 2*d(c) + z(c). Calculate k(a(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26418740 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 9*d - 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/18 - 3*u**4\/8 + 15*u**2. Let x(j) be the second derivative of p(j). Let b(r) = -r. Determine b(x(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*f - 45. Suppose b - 2*b = -f. Let p = 58 - b. Does 30 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 6*w - 11. Let g(p) = 2*p**2 + 7*p + 5. Let f be g(-4). Suppose 2*l - 5*l = -f. Calculate the lowest common multiple of l and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 717765, 717778, 717791, 717804, 717817, 717830?\n\"Answer: 13*z + 717752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -i**4\/6 - 3*i**2\/2 + 6. Let k(q) be the second derivative of f(q). Let z(r) = 2*r**2. Calculate k(z(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t + 10. Suppose r - 8 = -0*r - 5*s, 2*r - 8 = -2*s. Let h(i) = -i**2 + 2*i**3 - 3*i**r - 3*i**2. Let v be h(-4). Determine o(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18078, 11299, 0, -15819, -36158?\nAnswer: -61017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105510, -210805, -316100, -421395, -526690, -631985?\nAnswer: -737280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5626299 is divided by 548.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 11*d**2 + d + 11. Let q be w(-11). Suppose 5*a + 3*a = q. Suppose 4*s - 39 - 1 = a. Calculate the least common multiple of 6 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001074 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5*q + 3 = 0, 5*x + 200*q + 5 = 185*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(85)*-2)\/sqrt(5) + sqrt(170)\/sqrt(160).\nAnswer: -7*sqrt(17)\/4 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 6:27 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 22*n**2 - 21*n + 62. Suppose -3 = k - 2*k. Suppose -3*w + 5*d + k = -7, 2*w - 5*d = 0. What is the lowest common multiple of g(-23) and w?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/42625 and 109\/1056?\nAnswer: 4092000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 477 = -2*r + 2*p, 2*r + 3*p + 951 = 0. Let k = r + 792. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgallpt. Give prob of sequence tt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7, 11, 11, 7, -1, -13, -29?\n\"Answer: -2*l**2 + 10*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 4\/(16\/(-108)) + (-15704)\/(-936).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78747 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - 815*l + 4975. Determine b(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846521887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29254377.\nAnswer: 3, 9751459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 42*u**3 + 53*u**2 - 55*u**2 - 86*u + 86*u in the form t*u + y + q*u**3 + p*u**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let i be 0 + (11\/(-2))\/((-5)\/70). Let m(t) = -27*t - 4. Let j be m(-3). Let o(k) = -k**2 - j + i. Give u(o(r)).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 50, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 + 4*r + 33. Let q(j) = j**2 + j + 2. Let p(i) = c(i) + 5*q(i). Give p(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*g + 4*g - 30, 3*g = 4*d - 120. Suppose 0 = 4*o + 3*x - 6*x - 13, 4*x - 24 = -5*o. Suppose -o*h + d = h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*q + 1389 = 1649 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14081701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 718078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6232?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60, 145, 230?\n\"Answer: 85*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 7.12. Let u = -6.12 - b. Let h = -3818 - -3818. Is u not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 2:35 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4906, 0.4, -3\/2, -12\/29, -6\/11, 3?\nAnswer: 4906","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 5*t**2 + t - 3. Let a be w(5). Find the second derivative of 4*r**2 - 2*r + r**2 - 2*r**a wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 364*m + 6*m**2 - 364*m - 3*m**2 - m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2056\/1465 - 1\/293. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 4. Let g be v(4). What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 10. Let g be l(-8). Solve 2*w - f - 7 = 0, 5*f = 4*w - g - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/9*(-3)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*x**6 - 43*x**2 + 63 + 3*x**5 - 63 wrt x.\nAnswer: -1320*x**3 + 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/17 (b) 3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -17*w - 2. List the prime factors of p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 23. Is q(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 10) to base 14.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 0.879?\nAnswer: 0.879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 3:43 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682399 or -682416?\nAnswer: -682416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-366)\/(-1159))\/(4\/304)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/6 - (-6)\/(-9). Suppose 4*s - 19 - 17 = -3*w, -28 = -2*s - 4*w. Sort z, s, -1 in increasing order.\nAnswer: -1, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 212, 718, 1562, 2744, 4264?\n\"Answer: 169*o**2 - o + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -1. Suppose s - y = -s. Let z(n) = 2*n**2 + 7*n - 17. Let f(c) = c**2 + 5*c - 11. Let k(b) = -8*f(b) + 5*z(b). Determine k(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*r - 279 = -5049. Suppose 5*h + 6 = n + 3*h, -3*h + 36 = 3*n. Calculate the smallest common multiple of r and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 5*n = -6*n + n + 450 for n.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2914 and 2.\nAnswer: 5828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110338829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3\/7 + 15844*a**2\/7 + 596584*a\/7 + 1129824\/7 = 0. Calculate a.\nAnswer: -3923, -36, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) -3 (c) 0.4 (d) 24\/35 (e) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 179515.02 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/4 - 3\/(-6). Suppose -4*c + 0*d + 4478 = u*d, 15 = 5*d. Is c\/6 - 2\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/55, 0.5, -2\/9, 3, -4\/3 in ascending order.\nAnswer: -4\/3, -2\/9, 4\/55, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46591.\nAnswer: 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.047, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-54))\/(64\/(-48)). Let j = 0 - -0.1. Which is the closest to g? (a) 4 (b) j (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12*12\/(-48) + (81\/18)\/((-1)\/2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 125, 329, 871, 1919, 3641?\n\"Answer: 28*a**3 + a**2 + 5*a + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 11*h + 4*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 31 + -14 + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*(-12)\/(-16) + 68\/16. Suppose -v = 4*i + 8, 0 = -2*v - 0*v + d*i + 10. List the prime factors of 6\/2 + (96 - v).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14262 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydaa when four letters picked without replacement from {d: 5, x: 2, a: 2, y: 4}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*-2*sqrt(7) - (6*(0 + sqrt(7)) - sqrt(7)) - (1 + sqrt(7) + 5 - (2 + sqrt(7)*-2))))**2.\nAnswer: 56*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6423353*i**3 - 2884*i**2 - 888.\nAnswer: -38540118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 12, c: 2, k: 1, g: 1, n: 1}. What is prob of sequence jck?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2. Let p(f) be the first derivative of -1\/8*f**4 + 0*f + 0*f**3 - 7\/2*f**2 + 3. Let b(d) be the second derivative of p(d). Determine q(b(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -35. Suppose 0 = -3*m + 2*u - j, -2*m - u + 15 = 2*u. Which is the closest to -0.1? (a) m (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + s - 329, 491 = 3*p - 0*s + 4*s. What is the highest common factor of 99 and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqgq. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 41, -4, 20, -1\/6, 1\/18.\nAnswer: -4, -2\/3, -1\/6, 1\/18, 20, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1125497 and 9138.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 2*b**2 + 2*b - 183. Suppose -1 = -15*u - 1. Let d be o(u). Let m = -53 - d. List the prime factors of m.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.8 and -7688516406113?\nAnswer: 7688516406112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/(-20))\/((-546)\/212) and -123\/140?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3618841\/68320 + -1695\/32. Let i = r - -48249\/8540. Find the common denominator of -65\/2 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107 - 20) + -167 + 128.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 1\/5, -1.09?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/60 - p**4\/6 - 5*p**3\/6 - 2*p**2. Let s be t(5). Suppose 2*o + 3*c - 20 = c, 3*o - c - 22 = s. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9, w: 1, f: 3, o: 2, x: 2}. Give prob of sequence ffw.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5+-139\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -8205\/92?\nAnswer: -8205\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152496725.\nAnswer: 3, 5, 17, 903919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 + -44154.3?\nAnswer: -43818.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42)\/(-8)*16\/3?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 + 631. What is the second derivative of -6*z - 1695*z**5 + 3311*z**5 - 1729*z**5 - h wrt z?\nAnswer: -2260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -z - 3*z. Factor 3*c**4 + 3*c - 5*c**3 + 2*c**2 - 5*c**z - c + 3*c**3.\nAnswer: -2*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -451.709 (b) 7 (c) -9 (d) -0.4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1167 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 254*w**3 - 3*w**2 + 4*w - 2. Let z be l(1). Let i = z + -148. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 6:03 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4)*(0 - r + 0)*(1 - 1 - 3*r)*(-2*r + 7*r + 4*r).\nAnswer: -108*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5663, -5042, -4421, -3800, -3179?\n\"Answer: 621*d - 6284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 24508 and 24508 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u - 55. Let h be p(-20). Let n = -132 + h. Let l(o) = o**2 - o - 7. Let x be l(-8). What is the greatest common divisor of x and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083969045 to the nearest integer?\nAnswer: 32924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0399700435 to 6 dps.\nAnswer: 0.03997","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21626 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-279)\/5 - (-10)\/(-50). Let v = 164 + w. Find the third derivative of 111*l**2 + 0*l**5 - 2*l**5 - v*l**2 wrt l.\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - 6\/(-9)*3. Let s(l) = 2*l - 5. What is the units digit of s(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - -1.25. Let m = -0.05 + a. Is m > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (814 + 26)*(-80)\/(-25)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 - 1051.\nAnswer: -1051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*((g*g**3\/g)\/g)\/g)\/g**(-2))**41 assuming g is positive.\nAnswer: g**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - ((-1983)\/(-9))\/(6\/(-18)). What is the highest common factor of 23 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 11*w**2\/2 + 88*w - 163. Let y be q(14). Calculate the highest common divisor of 66 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + -258032.619695?\nAnswer: -258075.619695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4249443708 divided by 2?\nAnswer: -2124721854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -521788*h**3 + 2858743*h.\nAnswer: -3130728*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wco when three letters picked without replacement from {w: 1, t: 1, b: 1, o: 8, c: 2, a: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 + 6. Let h = 135 + g. Which is the smallest value? (a) -0.02 (b) 2\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 236*q - 6748. Calculate j(59).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 212 - 1064\/5. Suppose -10*o + 18 = -3*w - 6*o, 2*w = 4*o - 16. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3730, 3733, 3736, 3739, 3742, 3745?\nAnswer: 3748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Suppose -2*j + 0*j + 2 = -d*l, 3*j - 3*l = 3. Solve -j - 5 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 + -4) - (0 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 7. Suppose 104 - 108 = 4*u, -2*n + u = -7. Sort n, -6, 4, c in descending order.\nAnswer: 4, n, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 1867665?\nAnswer: -1867668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -430\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 times 232.1644?\nAnswer: 21823.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-500))\/((-6)\/30). Which is the biggest value? (a) y (b) 0.4 (c) -2\/9 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -215*m**3\/2 - 3231*m**2\/2 + 8125*m + 228 = 0. Calculate m.\nAnswer: -19, -6\/215, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93229336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 14138847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 4. Suppose -2*b = -3*i + 23, i - b = -3*i + 34. Calculate the remainder when i is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 213776778.5 - 213776637.49999908. Let n = v + -141. Round n to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -39*o**3 - 5*o**2 - 13*o + 27. What is c(-2)?\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5422647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8219, -8209, -8201, -8195?\nAnswer: -8191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -36360 divided by 6?\nAnswer: -6060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -28. Let c(a) = a + 6. Let f(x) = 4*x + 1. Let h be f(-1). Calculate the smallest common multiple of c(h) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 11:11 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 186 (base 9) to base 16\nAnswer: 9f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*q = -4431 - 18874 - 12980 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -4, -9, 0.6 in descending order.\nAnswer: 4\/3, 0.6, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*x + 540 - 233*x + 91*x with respect to x.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 899 and 2581?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*(21\/(-63))\/((-5)\/3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 (base 5) in base 13?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 536*k**3 - 2*k**2 + 7*k - 5. Let u be r(2). Suppose -2*d - 3*a = -u, -4*a + 2*a = 5*d - 10739. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**4 - 472*c**3 - 3956*c**2 - 9528*c - 6048 = 0. What is c?\nAnswer: -4, -3, -1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/53)*f*f\/f**(-12) assuming f is positive.\nAnswer: f**(744\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3397085 is divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 140. Suppose s = -3*g + 5*s - 135, 0 = -5*g - 2*s - 199. Let v = -22 - g. What is the remainder when o is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 9:08 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1575 + -34?\nAnswer: -15a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2. Let x(a) = -2*a**2 - 77. Calculate x(m(c)).\nAnswer: -8*c**4 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4929 or 171\/5?\nAnswer: -0.4929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 2)*(r + 1 - 1)*(0*r + r + r)*(-4*r**2 + r**2 + 7*r + r**2) to the form x*r**2 + f*r + g*r**3 + l*r**4 + j and give g.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*c + 3, 4618*q - 39 = 4624*q + 5*c for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15594 - -30407. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1853 or -1924?\nAnswer: -1924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -27. Suppose -s + 14 = 4*k - 1, -20 = -4*k. Let h be s\/x - (-3)\/12. Which is the closest to 1\/4? (a) -4\/7 (b) h (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 3*v - 2. Let q(i) be the third derivative of -i**5\/30 - i**4\/6 + i**3\/2 + 5*i**2. Give 4*q(p) + 5*y(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13611643, 27223287, 40834931?\nAnswer: 54446575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 10951*d**2 + 153118*d.\nAnswer: d*(d + 14)*(d + 10937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18205*m**3*t**4 - 23783*m**3 + m*t**2 with respect to t.\nAnswer: 72820*m**3*t**3 + 2*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1377) + -2 + -1) - ((sqrt(17) - sqrt(2448)*1) + sqrt(17)*1*5))*3*-3.\nAnswer: -27 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, l: 1, g: 1, r: 1, i: 3}. Give prob of picking 1 l, 1 g, and 1 p.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 13 - 79)*(-2*o**5 + 2*o - 2*o).\nAnswer: 156*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176393 is divided by 504?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: d566 (base 14) to base 3\nAnswer: 1212101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/90*171\/57?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, -71, -0.1, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 10 = -4*p. What is the greatest common divisor of p and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -713, 1, -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (55\/35)\/(7\/(-49)) - (8 + -2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10075, -40044, -89905, -159658?\n\"Answer: -9946*k**2 - 131*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 400\/(2050\/41) - (87\/12 + 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0030445 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - 2.6. Let d be (-4)\/14 - 0\/1. Put d, 2\/21, b in descending order.\nAnswer: b, 2\/21, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110691 and 545.\nAnswer: -60326595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7493*o - 67439. Determine z(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15407 divided by -9?\nAnswer: 15407\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5497, -10249, -15027, -19843, -24709, -29637, -34639, -39727?\nAnswer: -44913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2 - 43*y + 38. Let b be k(10). Solve x - 4*a = -17, 9*a = -4*x + 13*a - b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - -53?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 + 27*u - 27*u - 3)*((2 + 3 - 4)*(4*u - u - 2*u) + 6*u - u + 2*u) + 10*u**4 - u**4 + 3*u**4.\nAnswer: 36*u**4 - 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 364004 - 363982.00046. Let t = m + -22. Round t to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(9*8\/(-216))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 5:08 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14228 = -1521*p + 20094 + 47369 for p.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 3*o. Is h(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hknxncz. What is prob of picking 1 c and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 399695 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 21 - 17*m - 176*m**2 + 25 - 46 + 26*m.\nAnswer: -176*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 3. Let y be (2 - (3 + -1))\/(-1). Let m be l(y). Solve -5*p - 5 = 5*g, 0 = m*g + g - p - 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*s**2 + s**2 + 4*s**5 - 5*s**5 + 2*s**5 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2476 or -1?\nAnswer: 0.2476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1))**(-49))**(5\/2)*((l*l**(-3\/4))\/l*((l\/((l*l\/l**(-3\/7))\/l)*l)\/l)\/l)**5 assuming l is positive.\nAnswer: l**(-7165\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 13 + 0 + -8 - -37) + -7 + 6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2. Let g(s) be the third derivative of -s**4\/24 + 8*s**2. What is g(m(r))?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 2*d**3 + 0*d**4 + 0 - 27*d - 5\/4*d**5 + 0*d**2. Find the second derivative of p(s) wrt s.\nAnswer: -150*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -157 + 46. Let m = q - -115.9. Let a = m + 0.1. What is the biggest value in a, -5, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13\/88 - -797\/264. Let w be (16\/(-96))\/((-37)\/6). Let g = w + 849\/74. Calculate the common denominator of v and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222429 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {n: 2, c: 2, f: 2, u: 1, t: 1, a: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*r**3 - 26463*r**5 - 222*r + 21*r**3 - 1 + 25911*r**5 wrt r?\nAnswer: -11040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -5*r + 18. Let t be p(3). Suppose -y = -t, 3*a - y = 2*a - 33. What is the units digit of -9*5\/a*172\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 1549127*i - 7. Let p(y) = y. What is a(p(v))?\nAnswer: 1549127*v - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48.9 - 49. Let o = 528\/1345 - -2\/269. Let l = -4 - -6. Which is the closest to y? (a) o (b) l (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3413216?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 2*i + 2 - 11 - 6885*i**2 - 7 to r*i + l*i**2 + f and give l.\nAnswer: -6885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*b, -b - 2*b = -2*u - 20. Suppose -3*w = -5*l + 167, 0 = b*l + w - 57 - 80. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 6 - 1\/6*v**3 + v**2 + 3*v. Let f(x) be the first derivative of d(x). What is f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 41 = -5*j, -3*w + 4*j = w - 12. Which is smaller: 6 or w?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 2 + 21*l + 0 + 4.\nAnswer: 17*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/sqrt(18) + 1 + sqrt(99) - 2*(-4*sqrt(11)*1)**2.\nAnswer: -351 + 10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a millennium in decades?\nAnswer: 1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -0*u - 25*u + 227. Let f(b) = 6*b - 118. Calculate f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 41176.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -586.14928 + 602.1492735. Let f = s - 16. What is f rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1816.567 + 1815. Let y = -1.5 - k. Round y to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**10\/(w\/(w\/(w\/w**6)))*w\/(w**(-5)\/w)*w**(-10)\/w assuming w is positive.\nAnswer: w**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(405))**2 - (sqrt(15)\/sqrt(3) - sqrt(5))*-1.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 > -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1456*w - 1454*w = 7*v + 15, -33 = 9*v + 2*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-25))\/(37\/(-370)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -29?\nAnswer: -2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 15) to base 3\nAnswer: -10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 106, 1, 2 in increasing order.\nAnswer: -3, 1, 2, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(0 + -1)*(-2)\/(-3). Suppose p*i + 6*i + 14 = 0. Is i > -0.174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 723*j**2 + 22*j - 53. What are the prime factors of s(3)?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 2066.\nAnswer: -2065.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/5 - (-3)\/(105\/14). Suppose c = 2*i + 1359 + 484, -i = b*c - 7336. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:05 PM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2071*m + 11899 - 2399 = -1596*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 427 + -1.\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.59, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 196*r**4 - 239540*r**3 + 5287500*r**2 + 48726562500*r.\nAnswer: 4*r*(r + 385)*(7*r - 5625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -632463 smaller than -632713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29317783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - 2 + 4*g - g**3 + 10653*g**2 - 10619*g**2 to the form w*g**3 + o*g + f + x*g**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + -0.2. Let x = 11 + -11.7. Let o = x - -0.2. Which is the nearest to 2\/3? (a) o (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93170.21 hours to microseconds.\nAnswer: 335412756000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -724*u + 726*u + 7*h - 5369 = 0, 4*u - h - 10693 = 0. Calculate the remainder when u is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120220020 - -222?\nAnswer: -1120212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n*n**14*n*n)*n*n**10 assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2116122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25003, 39174, 53345?\n\"Answer: 14171*z + 10832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(837\/2604).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 293\/5*v**5 + 0*v**4 + 0*v**3 - 232 + 0*v - 126*v**2. Find the second derivative of z(r) wrt r.\nAnswer: 3516*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.3, -49?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 238?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114629 is divided by 283?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -270.984 - -271. Let j = c - -9.184. What is j rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**15\/(n**1\/n)**14)\/((n*n**3)\/n**(4\/7))**(-30) assuming n is positive.\nAnswer: n**(750\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 364625123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -7. Let w be b\/(-2) - (-5 - -8). Let q = 30 + w. What are the prime factors of q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, k: 1, w: 2, h: 2}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 34. Calculate z(14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + sqrt(637) + sqrt(637) + 3 + -4)**2 + -1*sqrt(117) + 4.\nAnswer: -45*sqrt(13) + 5738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -343*o**3 - 3*o**2 - 6*o - 9. Is g(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 26117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230 + -198. Calculate the highest common divisor of c and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 2*m**7\/105 + m**6\/40 + m**5\/30 + 223*m**4\/24 - 5*m**3\/6 + 10949*m**2. What is the second derivative of c(s) wrt s?\nAnswer: 48*s**2 + 18*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhmmm. What is prob of sequence hhm?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 10 = -3*y - 2, -y - 2*k = -8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 2*o**4 - 3*o**2)*(3 - 7 - o + 3)*(-5 + 3 + 3 + (-2 + 0 + 0)*(-4 + 0 + 5) - 3 + 7 - 3 + 27 - 303 - 291).\nAnswer: -1134*o**5 - 1134*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 5 - 4\/(-8)*-2. Solve -6*b + i*b = -6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 11*z - 326 = -5*n, -4*z + 146 = 2*n. Suppose 0 = -r + 5*r - a - n, -a + 41 = 2*r. What is the highest common factor of r and 522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from xfxbxxvckxx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/20 + 78\/15. Does 7 divide ((-28)\/5)\/((-2)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 not equal to -68738\/829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21\/(-6)*8\/(-14). Let k = a + 0. Suppose -3*t - 33 = -2*o - 4*t, k*o + 2*t = 28. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*b**3 + 41280*b**2 - 54980*b + 18320 = 0. What is b?\nAnswer: 2\/3, 916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 21 = -54, 14 = -p + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2471, 4946, 7421?\nAnswer: 9896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37705059 by -9457.\nAnswer: 3987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 124907.\nAnswer: 124907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**5 - 1202*y**4 - 1170*y**2 + y.\nAnswer: 60*y**2 - 28848*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9 - -2*1\/(-2). Suppose 0 = f*n - 3*n + 20. Let b(s) = s**2 + 3*s - 4. Let u be b(n). Solve 10 = -u*p - 2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 10230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1705, -1750, -1795, -1840, -1885?\nAnswer: -1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-18) - 355\/30. Let j(v) = v**3 + 12*v**2 - v - 9. Let u be j(i). Suppose u*f + 25 = 8*f. Which is the third smallest value? (a) 0 (b) 2\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1625\/130)\/((-3)\/(-702)).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-10 + 1 + -4 + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45327 + 45327 - 130*o**2.\nAnswer: -130*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -21112140045?\nAnswer: -21112140053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*w = 5*w + 65, -2*n + 2*w = -42. Suppose -2*x + n = 2*p + 3*x, p + 2*x = 10. Suppose 3*g = p*g - 61. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 - 3. Put -0.4, o, 4 in decreasing order.\nAnswer: 4, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1330\/16 + (-27)\/216. Let f = -63 + x. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8146, 32602, 73378, 130486, 203938, 293746, 399922, 522478?\n\"Answer: 2*w**3 + 8148*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.02266298.\nAnswer: 0.004532596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38987, -38985, -38983?\n\"Answer: 2*z - 38989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1687323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 0.4, 1321, 55, -33?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {d: 5, y: 7, j: 2, t: 2, e: 2}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1419)\/(-30))\/(1\/2). Let q = r + -95. Which is greater: q or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1637354*v**4 - 92*v**2 + 4*v + 699 wrt v?\nAnswer: -39296496*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -31. Let w be (-85934)\/10*s\/36 + -2. Let a = w + 3579. What is the common denominator of a and -67\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 725720439?\nAnswer: 3, 241906813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/683, -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*u - 4*u = 5*f - 507, 2*u - 124*f = -123*f - 21 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 93302121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 130389*l**2 - 4250388024*l - 4250257636.\nAnswer: -(l + 1)*(l + 65194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u. Let k(w) = 182*w**2. Calculate k(b(s)).\nAnswer: 6552*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 5*r + 0*r)*(399 + 400 - 856 + (-1 + 1 + 2)*(-2 + 0 + 0)) + (-2*r + 0*r + r)*(-1 - 4 + 6) - 2*r - 2*r + 2*r as h*r + z and give h.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/1187 and 26\/16515.\nAnswer: 19603305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - 13.09. Let p = 18 + q. Let s = p + -4.98. What is s rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.64 - 1.14. Let d = -5.8 - -6. Which is the nearest to -0.3? (a) d (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286358345 divided by 263\nAnswer: 1088815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 880\/(-99)*(6\/(-14))\/(16\/168)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 17*v - 2 + 2 + 6 - 4. Let w(x) = -2*x**2 + 2*x + 4. Let d be w(-2). Let s(i) = -6*i - 1. Give d*s(u) - 3*g(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*y + 146*y = 299*y + 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 922 and 6838474.\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38720.5 and 3.03.\nAnswer: 38723.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 4*r = -2*t + 16, 5 = -t + 2*r. Sort 1, t, -1, 0 in decreasing order.\nAnswer: 1, 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 719833320*h - 24. Let v be w(-6). Let a be (v\/(-10))\/(-7) + (-8)\/10. Round a to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210 * -5\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -214569 and -104879747.\nAnswer: -105094316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -36. Let g = d - 96. Let x = -60 - g. Round x to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -777, -1527, -2225, -2859, -3417?\nAnswer: -3887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -522, -1970, -4376, -7734, -12038, -17282, -23460?\n\"Answer: j**3 - 485*j**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9592932 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 169\/9 - 4\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3674 times -360.98\nAnswer: 1326240.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2714*g - 1930*g + 974*g - 159586 = 152364 for g.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + -15. Suppose -4*a + g + u = 3*g, -3*a - 4*g = -31. Suppose -a*j + 2*j = -111. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*j + 182 + 82 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 188\/24 + 14\/84 - -1708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Sort -536, 0, 5, -4, -3 in descending order.\nAnswer: 5, 0, -3, -4, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12269 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9535, 76196, 257141, 609514, 1190459, 2057120, 3266641?\nAnswer: 4876166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*o - 4 = -117*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2, -4, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.2. Let m = 12 + -11. Which is the nearest to m? (a) g (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:55 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.027 + 0.107. Round z to 1 dp.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 119. Let q = f - -77.9. What is the closest to -2 in 0.3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/16, 2\/9, 7.78, 0.172?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*t + 69*t = 168*t - 395790. List the prime factors of t.\nAnswer: 2, 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - -35. Let k = -134408128.0000081 + 134408160. Let n = k + r. Round n to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((1*sqrt(4598))\/((sqrt(1078) - sqrt(22))\/sqrt(11)) + 4))**2.\nAnswer: 176*sqrt(19)\/3 + 2875\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(50\/(-40))*(6 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(336) - sqrt(336))*4)\/((sqrt(70)*-2)\/sqrt(10) - (sqrt(567) + 1*sqrt(567))).\nAnswer: -5 - 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22*b. Let r(h) = 48*h + 36*h - 16*h + 10*h + 32*h. Give l(r(k)).\nAnswer: 2420*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -4596 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5139\/4568 - (-110)\/16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(175)*-6 + sqrt(175)))**2 - (-5 + 0 + sqrt(175))*2.\nAnswer: -10*sqrt(7) + 84710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -99.4106?\nAnswer: 2.982318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -17*w**2. Let j(q) = -q**2. Give u(j(k)).\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 8*h**2 - 11*h - 58. Does 130 divide n(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*((-33)\/(-7) - 5). Suppose -10 = -q*i - 4*u + 36, 3*i + u - 59 = 0. What is the remainder when 74 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -89 + (118 - 26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 + -37. Solve -4*h = -y + 7, b*h - 3*y - 11 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = -29. Suppose o = -o - 10, -4*o = 2*l + p. Let a(u) = -2*u + 2. Let k be a(l). Which is greater: -6\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-20)*f*f**(-31) assuming f is positive.\nAnswer: f**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*x - 0*x. Let h(m) = -12*m + 1. Let b be h(x). Suppose -2*k - 3 = -b. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373038773 a multiple of 1352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19090 divided by 46.\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*v + 5, 0 = -3*v + v + 6. Let r be (-2)\/(-2) - 1 - k. Let o = 121.25 + -121.25. Which is the closest to r? (a) o (b) 5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -374 + 374. Put -1, v, 9, -2 in ascending order.\nAnswer: -2, -1, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**3 + 2. Let l be 25*1\/(0 - 1). Let z(b) = 149 + b**2 - 174 - b**2 - 23*b**3 - 62*b**3. Calculate l*m(n) - 2*z(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 18. Let o be k(0). Suppose -20*u + 144 = -156. Let b = o - u. Solve -b*r - 8 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + -1 - (-7636)\/2 - 36\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3398 or -42?\nAnswer: 3398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 28 = 2*q. Let t(k) = -2*k**3 + 3 + 11 + 6 + 5*k - 21. Let m(p) = p**3 - 4*p + 1. Determine q*t(z) + 3*m(z).\nAnswer: -z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1\/9, -29273?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -20 - (34 + -19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2067*a + 3. Let k(u) = 2*u. Calculate p(k(w)).\nAnswer: -4134*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 g when four letters picked without replacement from gffffgfggf.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p = -2*o - 18*p + 17137, -42829 = -5*o + 2*p. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110923, 221971, 333019, 444067, 555115?\nAnswer: 666163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 0.1305 in descending order.\nAnswer: 0.1305, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, d: 6, o: 1}. Give prob of picking 4 s.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 10. What is the remainder when s*(-4)\/8*-52 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7224\/1935 + 2\/(-6) + 0 + -3. Which is the nearest to 1? (a) y (b) -116 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5724 and 8964?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28958 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 z(i) = -2951717*i - 10. Calculate z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8934111767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p. Let z(q) = -q**2 + 59. Give z(n(j)).\nAnswer: -j**2 + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -440*k**3 + 440*k**3 + 38*k**4 - 2*k**4 + k**4 - k**4 + (-3*k + k + 0*k)*(3*k**3 + 0*k**3 - 5*k**3).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*m + 17 = -2*q, 2*q - m = -13. Let w(i) = -i**2 - 6*i + 2. Let d be w(q). Is (d\/(-6))\/(6\/(-162)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 - (6 + -19 + (7 - (-24 + 1)))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**2\/2 + 7*i + 1. What is the remainder when j(-8) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101011 - 1?\nAnswer: 1000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -37 + -15 + -1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1309)\/6776 + 3\/8. Which is the closest to 4? (a) 1.2 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 1606*u - 1613*u - 1609*u - 14 + 4838*u. Give h(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -820 - 155 = 5*d + 209*a, -7 = 2*d + 7*a for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 72 + 26)*(1 - l - 1)*((l + 0*l - 2*l)*(-1 - 4 + 3) + 4*l - 2*l - l).\nAnswer: -222*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/10 - (-24201)\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 5*g - 67 = 11*v - 217, 0 = 2*v - 4*g - 12 - 18 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 4) to base 14\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 1, c: 1, k: 2, j: 1}. What is prob of picking 1 a, 1 k, and 2 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*r + 4\/5*r**3 + 0 + 1\/5*r**4 + 1\/5*r**2.\nAnswer: r*(r - 1)*(r + 2)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -6. Let v = -0.2 - -0.2. Let w = z + v. Which is the second smallest value? (a) 1\/3 (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 67\/2 (b) -7 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*m - 230, 4*d - 3*m - 328 = 158. What is the smallest common multiple of 336 and d?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2 - 12*b - 31. Let h(p) = 5*p**2 + 8*p + 21. Let m(r) = -7*h(r) - 5*v(r). Let k(n) = n**2 + 1. Let j(q) = -4*k(q) + m(q). Factor j(f).\nAnswer: (f + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -250 - -251. Solve -t - c - p + 4 = 0, 3*t + 2*c = 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 7*u**2\/2 + 9*u + 6331. Give w(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o - 6. Let v be z(3). Suppose 4*k = v, 6*k - k = -5*p + 25. Let l(j) = -4*j**3 + 1 + 0*j + 5*j**3 - j + 2*j - j**p. What is l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20, -57, -92, -125?\n\"Answer: f**2 - 40*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + ((sqrt(128)*2)**2 + 0 - ((sqrt(128) + sqrt(128)*-1)*-4)**2)*3 + -2.\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -415\/8 + 52. Let q(m) = m**3 + 114*m**2 + 3. Let a be q(-114). What is the closest to -0.1 in 6, t, a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(448))**2 - (3 + sqrt(7) + 1 + sqrt(7) + -1*sqrt(252)).\nAnswer: 20*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = f + 3*f - 8, 3*b = -4*f + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09938 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l + 16 = -5*o + 12*l, -6*o = -2*l + 12. Let d = 0.1 + 0. Let x = -0.4 - -0.1. Which is the closest to d? (a) x (b) 0.7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -300*b**3 - 540*b**2 + 103*b + 1. Let z(p) = -100*p**3 - 180*p**2 + 35*p. Let h(g) = 2*s(g) - 7*z(g). Let h(k) = 0. What is k?\nAnswer: -2, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 65569*s**3\/6 + 121*s**2\/2 + 3*s + 6. Let x be p(-9). Round x to the nearest ten thousand.\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2726956, -5453913, -8180870?\n\"Answer: -2726957*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose -5*k + l*k + 330 = 0. Suppose 2*s - 3*h = 68, k = -5*s + 7*s - 4*h. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 5 + 5. Let h be d(4). Suppose 0 = -5*t + 3*t + h. Solve -2*b + 6 = 4*c, t*c - 10 = -c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 8*s - 4. What is u(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 0.9. Let w = 665 - 678. Which is bigger: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 != 1247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5805 - 5813. Let u be (-2 + 0 - -7)*-1. Let d = 0.06 + 1.94. Which is the second smallest value? (a) d (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and -8.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1 - -3) + (-12 - -2 - -13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2 + 6. Let y = b - -6. Suppose -r - 26 = -a, -2*a - y*r + 88 = 2*a. Does 24 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15253 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -734000 to the nearest ten thousand.\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6390 and 6390.\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2843 + -307432?\nAnswer: -304478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1634 and 9994?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7912*w**5 + 7*w**3 - 178*w**2 + 2058.\nAnswer: 474720*w**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/144 and 71\/17700.\nAnswer: 212400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 - -0.2. Let u be (-1 - (-1 + 0))\/(-2). What is the nearest to 2\/3 in u, 3, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89)\/(-445)*(-50)\/(-215).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54064 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 10*d**2 + d - 6. Let q be p(10). Let v(x) = x**2 - q*x + 8*x + x - 3. Let g be 9\/(-2)*4\/3. Determine v(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 249 and 226673.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*w - 10. Suppose 0 = -3*s + w*v + 22, -4*s - v = -4*v - 11. Let a be 20 + 4 + s - -1. What is the greatest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 227255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -44. Let z = h + -10. Let x = -3 + z. What is the third biggest value in 4, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g + 2. Suppose -4*l + 10 + 2 = 0. Suppose 0*t + 5*i = t - 28, -t = -l*i - 20. Calculate the remainder when s(3) is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.39 - 20. Let r = -0.34 - -0.21. Let n = v + r. Round n to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)*5 - sqrt(10)\/(sqrt(2)*-2) - (-1 + sqrt(245) + 0)**2.\nAnswer: -246 + 49*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*g - 5*g. Let h be ((2 - 3) + g)\/1. Which is smaller: 3\/16 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 60.99391 years?\nAnswer: 0.6099391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 5*f**3 + 0 + (-42*f + 17*f - 38*f - 8*f)*(14*f**2 - 2*f**2 + 9*f**2).\nAnswer: -1486*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*4 + sqrt(133))*2)\/(5*sqrt(7)*-3).\nAnswer: -4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31406, -63591, -95780, -127973, -160170, -192371, -224576?\nAnswer: -256785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/28*212\/(1 + -2). Factor -316*y + n*y + 28*y**2 + 153*y - 18*y**3 - 126*y**4 + 5*y**3 - 81*y**5.\nAnswer: -y*(y + 1)**2*(9*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 + 34 - 20) - 29?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -21*n**3\/2 + 41*n**2\/2 + 41*n. Is 29 a factor of s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(304) + 3 + 1)**2 + 1 + 5*(-6*(sqrt(304) + 3)*-3)**2.\nAnswer: 38912*sqrt(19) + 507381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9270240 a multiple of 2136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005333 greater than or equal to 2005332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -28 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5021*y + 25314. Give j(-5).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 254, 498?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = -2*w. Let y = -583.4 + 583. Is w less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/3717974?\nAnswer: -3\/3717974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**5\/60 - 37*m**3\/6 - 17*m**2 - 3*m - 2. Let x(u) = -9*u**2. What is h(x(p))?\nAnswer: -81*p**4 - 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s - 2. Let w be y(-1). Let t be (0 - -6)\/3*w\/(-5). Let f = 0.8 - 0.3. What is the smallest value in f, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -158*t**3 + 10*t**2 - 5*t - 1. Let m(r) = -r**3 + r**2 - r + 1. Let u(l) = 5*m(l) - s(l). Find the third derivative of u(f) wrt f.\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1381503 is divided by 230247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 15, -8\/171, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g + 10. Let r = 40 - g. Calculate the highest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39208 and 52728?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -8. What is the common denominator of 113\/10 and 9\/(-54)*v\/(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 11:54 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560 = -2*t + 376. Does 39 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -2\/9, 2\/419, 4, -0.5, -1167?\nAnswer: 2\/419","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 7*m - 6. Calculate s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12\/5)*(q*q\/(q**(2\/11)*q)*q)\/q assuming q is positive.\nAnswer: q**(-87\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50351 + -3?\nAnswer: 50344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -12*g. What is a(-3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + d**2 + 2*d - 1. Let m(z) = -z + 6. Let p be m(4). What are the prime factors of f(p)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 1. Let m be p(-3). Let d be (-50)\/(-6) - m\/(-3). Suppose d = -3*u + 21, 36 = 4*f - 5*u. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1756 + 1752. What is the third biggest value in -2.53, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) - (-3 + sqrt(5))))**2 + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 + 106*c**2 + 108*c = 0. What is c?\nAnswer: -1, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 735*b**3 + 11*b**2 - 7*b - 35. Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 5*h**4\/6 - h**3 + 2*h**2 + 14. Calculate the lowest common multiple of v(3) and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 18*h**2 + 18*h - 15. Let p be t(17). What is the third derivative of -45*o + 2*o**p + 6*o**4 + 27*o**4 + 9*o - 4*o wrt o?\nAnswer: 792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4 = 8. Let x(w) = -5*w**2 - 7*w + 1. Let u(v) = 7*v**2 + 8*v - 2. Let z(a) = 2*u(a) + 3*x(a). Calculate z(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 87. Solve -1 = 4*f - d for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*s - 6, 3*s - 12 = -3*i - 3. Let t be 0 - 2 - (i + -2). Let g be t\/(1 + -2 - -2). Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 10, -3, -23, 12, 22.\nAnswer: -126, -23, -3, 10, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -53, -53, -55?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (sqrt(11) - -1*sqrt(1100))**2 + (6*(sqrt(44) - sqrt(1100))\/sqrt(4))**2.\nAnswer: 7661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 40 + -a5a1?\nAnswer: -a561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -159539*j + 26. Let l be g(-5). Suppose 7*p = l + 5470716. Let n be 15\/25 - p\/(-15). What is n rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9730 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1)\/((-4)\/2). Suppose a = -60*c + 28*c. Solve c - 32\/5*m**3 - 2*m**5 - 8\/5*m**2 + 0*m - 34\/5*m**4 = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 2:22 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, j: 4, w: 6}. Give prob of sequence zz.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3)*(-2)\/(-2) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4879 divided by -2?\nAnswer: -4879\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1679 + 1682. Let b(f) be the first derivative of 9 - 1\/2*f**2 + f**w + 0*f. Calculate b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -6 + (-6 - (10 - 8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -71. Let s = -1.47 + -1.27. Let k = s - 0.26. What is the smallest value in k, -1\/2, 0, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 2*t**2 + 1. Let s be q(2). Suppose -f + s = -25. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/14 + (-38)\/(-133). Let h be q*6\/(-2) + 4. Is 1\/1 - h - -103 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/24 + i**5 + 175*i**4\/24 - 1960*i**2. Find j, given that y(j) = 0.\nAnswer: -7, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 566.\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j + 64. Let q be ((-3)\/(-4))\/((-6)\/j). Suppose y = -q*y. Let k(x) = -x**3 - x**2 - x - 8. What is k(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 12 = 2*q. Let p(c) = -2*c + 12. Let o be p(9). What are the prime factors of o\/(-3) - q - 2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(72)\/sqrt(9)*-2) + sqrt(110)\/((sqrt(50) + (sqrt(50) - -5*sqrt(50)))\/sqrt(5)).\nAnswer: -5*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a + 117. Let c be x(11). Sort c, 3\/2, -6 in descending order.\nAnswer: 3\/2, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543*y = 540*y + 18. Calculate the remainder when 32 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/(-165))\/((-12)\/(-400)*(-32)\/60).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -8559, -0.2, -2\/15, -3 in descending order.\nAnswer: 2\/5, -2\/15, -0.2, -3, -8559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r + 15389 - 15180 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9375964 is divided by 118?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 2, d: 1, l: 4}. Give prob of picking 2 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*l + 5*l**2 - 102 - 3*l**2 + 3*l**4 - 82 - l**4 + 36*l to the form m + p*l + n*l**2 + k*l**4 + b*l**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414102299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*b**5 - 10*b**5 - b**5 + (0*b**2 + 4*b**2 - 3*b**2)*(39 + 3*b**3 - 39) + 0*b**2 + 0*b**2 + 3*b**5 + (1 + 0 + 0)*(b**5 + 2*b**5 - b**5).\nAnswer: 3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -989 - -1059. What is the remainder when 277 is divided by u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13280 and 0.5.\nAnswer: 6640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4095, 57, -1, 134.\nAnswer: -1, 0.4095, 57, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/572 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 650\/(-910)*(38584\/65)\/(-4)\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**2 + 3*i**2 + 0*i**2 + 2*i**2 + 14 - 5*i + 8*i as c*i**2 + t*i + p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j**3 - 54*j**2 + 16*j + 79. Let n(v) = -5*v**3 + 43*v**2 - 14*v - 80. Give 4*h(y) + 5*n(y).\nAnswer: -y**3 - y**2 - 6*y - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.2 - -2.6. Let u = -25.63 - d. Which is the closest to 2\/3? (a) 2 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = -o - 2*o. Suppose 0 = -4*b - 4*p + 124, 0*b - 2*p = -4*b + o. Suppose 2*i = 7*i - 50. Calculate the greatest common divisor of i and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(114)\/(2*sqrt(6)))**2 - (2*sqrt(171)*-1)\/sqrt(9))*-2.\nAnswer: -342 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-15)*d*d**(2\/59)*(d**(-4\/7))**(-20) assuming d is positive.\nAnswer: d**(-635\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**3 - 4*d**3 + 2*d**3)*(0*d**2 + 4*d**2 - 3*d**2) + (0*d - 2*d**2 + 0*d)*(2*d**3 - 3*d**3 - d**3).\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**2 - 4*v**2 + 2*v**2)*(-2*v + v + 4*v)*(-3 + 3 + 5*v) in the form f*v**4 + q*v + d*v**3 + y*v**2 + n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8722, 17448, 26174, 34900, 43626, 52352?\n\"Answer: 8726*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 1)*2\/3. Let v be (-12)\/9*6\/(-4). Suppose -5*k + 3*l - v*l = -636, i*k - l - 255 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 12*z - z**2 + 4*z + 13 - 8*z. Give a(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58475, 58471, 58465, 58457, 58447, 58435, 58421?\n\"Answer: -a**2 - a + 58477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24282 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 2*u + 2. Let d(v) = -6 + 9 + 6*v**2 - 7*v**2 - 3*v. Calculate -4*d(a) + 5*l(a).\nAnswer: -a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 3*m**2 - 5*m - 1. Let t be u(-4). Suppose -3*p = -3*w + 17 + 25, 8 = w - 2*p. Solve w = -t*z - z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 31c4 + 8?\nAnswer: 31cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83\/13 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49473640 divided by -5.\nAnswer: -9894728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25649*d**2 + 7 + 5 - 12.\nAnswer: 25649*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 11*v + 20. Give y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4 - (-2 + 7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.502 + -3.498. Which is the closest to -0.1? (a) j (b) 3\/5 (c) 1.48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 934*c**2 + 1070*c - 103. Is m(-25) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 5:46 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + g + 2 + 2, 3*g = j + 67 - 84 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 536 + 1513?\nAnswer: 2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 5 - (-48 + 31 - -28) - 18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 + -0.5. Let u = -4 - -21. Let g = -17.2 + u. What is the second biggest value in g, -5, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 10, 4, -4\/585 in descending order.\nAnswer: 10, 4, -4\/585, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1536*q**4*v**2 - 162*q**3*v**3 + 2*q**3 - 73*q**2*v**2 - 40*v**3 + 147*v**2 wrt q?\nAnswer: -36864*q*v**2 - 972*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304283, 304287, 304291, 304295, 304299, 304303?\nAnswer: 304307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -0.050139?\nAnswer: 0.249861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*b + 4*m + 12, 4*m = -16. Suppose 4*g - 7 = -b*g + 5*w, 3*g - 2*w = 0. Let s(f) = -6*f**3 - 3*f**2 + f + 2. Does 18 divide s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 10. Let z be j(7). Suppose 0 = 5*x + 3 + z. Is (-1370)\/x*14\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 - 2. Let y = 1.2 - 0.2. Let l = y - 2. Put l, 1, j in descending order.\nAnswer: 1, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280704 and 2176.\nAnswer: 280704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 84*i**2 + 4*i - 4. Determine h(-2).\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -0.084, 1\/185, 0.4?\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (56 - -25) - (19 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 18)*(-16)\/24. Suppose 2*s = 3*y - f, -3 = -4*y - 2*s - 1. What is the second derivative of -2*t - t**2 - 4*t**2 + 0*t**2 + 6*t**y wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 12*k**2 - 21*k - 4. Give s(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7932 rounded to 2 decimal places?\nAnswer: -1.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 17*j**2 - 9*j - 3. Let s(q) = 5*q**2 - 3*q - 1. Let m(k) = l(k) - 3*s(k). Let u(p) be the first derivative of 10*p**3 + 2. Give u(m(d)).\nAnswer: 120*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/33 + 3414\/22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 769212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p**4 - p)*(80*p - 7*p + 21*p) - p**5 - p**5 + 3*p**5.\nAnswer: 95*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 16 - 51 + 9 - 3*g**2 + 10.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.5 - -2.7. Which is the nearest to 0? (a) -1\/9 (b) -3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 243, 879, 1949, 3459, 5415?\n\"Answer: h**3 + 211*h**2 - 4*h + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24583761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**3\/3 + 10*o**2 - 9*o + 7. Let p be n(-20). Put p, -1, 1 in increasing order.\nAnswer: p, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/6 of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:17 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 2*c)*(-1 + 2*c**3 - 23 - 5*c**2 + 2*c**2 - c).\nAnswer: -2*c**4 + 3*c**3 + c**2 + 24*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/((-3)\/8))\/(-1). Suppose 0 = -4*c - z + 12, z - 1 = 4*c - 5. What is the tens digit of (11 - l) + 40\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 h, and 1 y when four letters picked without replacement from {o: 2, h: 2, y: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200 + 1107. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1888771.45093+-43\nAnswer: -1888814.45093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 358, 693, 1256, 2053, 3090, 4373, 5908, 7701?\n\"Answer: t**3 + 108*t**2 + 4*t + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(10 - (5 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1 + -1)) + -20 + 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18933 is divided by 757?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2525103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504953911?\nAnswer: 73, 20615807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 + (42 - 95) + -10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.102116 micrometers to centimeters.\nAnswer: 0.0000102116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 960\/34320*182\/(-28).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from {h: 3, n: 2, u: 8, c: 2}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u. Suppose -5*a = 4*z - 25, -2*z + 4*a = -21 - 11. Suppose -v + 1 = u, 2*v = -4*f - 0*v + z. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4 - 13014*p**3 - 2647*p?\nAnswer: 12*p**2 - 78084*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 3*w + 2333. Let h be s(0). Let b = -978 + h. Suppose 4*c = 237355 - b. What is c rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 11.5. What is the closest to 0.1 in b, 0.3, -0.8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkh when four letters picked without replacement from hhkhkhhhkhh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 1353, 5 in decreasing order.\nAnswer: 1353, 5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24496)\/1531*159\/(-24)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.698 - -0.102. Let p = 1.8 - q. Which is the nearest to 2\/9? (a) 1 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29\/184 - 3\/92. Calculate the common denominator of 103\/50 and g.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49545?\nAnswer: 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 6*i - 6. Let h(t) = -t**2 - 5*t + 5. Let l(k) = 6*h(k) + 5*r(k). Let w(p) = -p**2. Calculate w(l(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 20*f + 35. Let j be q(-16). Let o = j + 523. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39554?\nAnswer: 2, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18, -28, -24, 0, 50, 132, 252?\n\"Answer: v**3 + v**2 - 20*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t + 17*t - 6 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-2*i + 0*i + 0*i) - 2*i + 2*i - i - 2 + 14*i + 26*i + 7*i + 0*i - 6*i + 4*i + (-5*i + 0*i + 3*i)*(0 + 3 - 1) as q + t*i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21010 (base 3) to base 2.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1, 7365.\nAnswer: -1, 1, 2, 7365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u**(-4))**2 assuming u is positive.\nAnswer: u**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025391 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/2080870865?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232 - 224. Let s(v) = -2*v**2 + v - 8*v**2 + 3*v**2 + w*v**2. Give s(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**5\/30 - s**4\/24 + s**3\/6 - 74*s**2. Let w(j) = -3*j**2 - 2*j + 2. Give -5*i(t) + 3*w(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -998 (base 13) in base 2?\nAnswer: -11001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3*a - 1 + 4*a.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - -4*(0 - 1). Solve -5*s + 17 + q = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:01 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00313578 rounded to 5 decimal places?\nAnswer: 0.00314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 + -3.4. Let y = -178.9 - -178.7. Which is the closest to y? (a) 1 (b) q (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*4\/(-2). Let q be (-6)\/(69\/(-78) - l). Let x = -15 - q. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Suppose 0 = 3*v + 2*t + 13, 2*t + 6 = 4*v - l*t. Let r(c) be the third derivative of 3*c**6\/40 - c**3\/6 + 52*c**2. Calculate r(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024396821 to five dps.\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(-3 + 0*q**3 - q**3 + 4) + q**2 - q**2 - 33*q**3.\nAnswer: -35*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3516*h**3 + 6039*h**3 - 1033*h**3 + 840*h**3 + 3532*h**3.\nAnswer: 12894*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yyuyuqyqqqyquyq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 127929787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 5:44 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o. Suppose q - 9 = -o*q. Let s be (-6)\/8*(-53)\/((-2438)\/(-184)). Solve -c - q = 2*n - 6*c, -s = -5*n + 4*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2488832 litres?\nAnswer: 248.8832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xmmdxd. What is prob of sequence xdxd?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1100112 + 123?\nAnswer: -1033323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3226*c**2*o - 1249*c**2 + 12211740*o wrt c.\nAnswer: -6452*c*o - 2498*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 26*j + 329. Let h(i) = -12*i - 166. What is 4*b(s) + 9*h(s)?\nAnswer: -4*s - 178","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 29, 30, 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40\/25 - 6\/(-15). Solve g = i - 2*i + d, -4*i - 16 = 4*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*j - 5*f, -24*j - 5 = -25*j - f. Suppose 3*x - 27 + 6 = 2*m, 5*m = -j*x. Solve -8*p + 12 = -x*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490617534.\nAnswer: 2, 3, 11, 29, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(385)*-1)\/sqrt(7) - sqrt(55))\/(sqrt(5) - (sqrt(500)*3 + sqrt(500) + sqrt(500) - sqrt(500)))*-2.\nAnswer: 20*sqrt(11)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141.2 + 141.4. Let n = -0.187 + 3.387. Which is the closest to -0.2? (a) g (b) 0.5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 10.6?\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13530 + 88*j - 793 - 42*j - 15817.\nAnswer: 46*j - 30140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000242236412 rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -25, -43, -81, -145, -241, -375, -553, -781?\n\"Answer: -n**3 - 4*n**2 + n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 0.06 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1716, -3547, -5486, -7533?\nAnswer: -9688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 345615\/8 + -43198. Find the common denominator of l and 298\/48 - 4\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/6*(-19354)\/(-74). Let i = -10\/111 + b. Calculate the common denominator of 35\/4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-3) - (372\/18 - 4). Let d(g) = 4*g - 3*g - 5 - 5*g + 0. Does 45 divide d(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22\/19 + 148\/95. Let s = 1.9 + -0.9. Let m(x) = -x**3 - x**2 + 4*x + 3. Let n be m(-2). Which is the closest to s? (a) n (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 53. Let v(z) = -z**3 + 29*z**2 + 27*z + 89. Let j be v(30). Which is the closest to j? (a) 5 (b) -1.7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 28100278, -2.\nAnswer: -2, 0, 3, 28100278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 7 = 3*o, 20 = -w + 2*o + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8477234, -8477144, -8477054?\n\"Answer: 90*n - 8477324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-559)\/52 + 11 + 1077\/(-252) and (-110)\/(-6)*2\/(-24).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -2784.2979229.\nAnswer: -2788.2979229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 54, -1\/4, 1\/2 in descending order.\nAnswer: 54, 1\/2, 0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55489510123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w + 3. Suppose -10*r - 9 = 11. Suppose 0 = -o - 2*b - 10, 5*o + 2*b = -b - 36. Let f(l) = -l - 1. Give o*f(p) + r*y(p).\nAnswer: -12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + 35 + -37?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -3 - -4) + (-9 - (-25 + 10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-328)\/(-492))\/((-1)\/((-9)\/(-5))))\/((-14)\/(-1120))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 42 = -4*q, 2*x + 5847 = 3*q + 5819 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 90?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h + 3. Let u = 6 - 6. Let s be r(u). Let t be (-234)\/(-2) - (0 + s). What is t rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 15. Suppose 5*f + b + 0*b = 83, -p*b = 3*f - 57. Find the first derivative of 28 + 6*r**3 - 7*r**3 + r**3 - f*r**4 wrt r.\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/15*3\/(-51). Let r = -33 - -34. Is o at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -416, -619, -820, -1019, -1216, -1411?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5388\/29, 5, -0.3567 in descending order.\nAnswer: 5388\/29, 5, -0.3567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1359805?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 10*y**2 + 11*y + 7. Let v(n) = n**2 - 24*n + 18. Let z be v(11). Let x = 136 + z. Determine g(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 41, 0, -4, 1 in ascending order.\nAnswer: -4, -3, 0, 1, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -64 (b) 16 (c) -0.02 (d) 1 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w*w*(w\/(w*w**(-2)*w))\/w)\/w)\/w))**48*w*w\/(w*w\/w**(-9)*w)*w**(1\/12) assuming w is positive.\nAnswer: w**(457\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c + 3*c + 11*c + 8*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*x - 2166 = -100*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -280 (b) 0.1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1\/3, 1\/148, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24359 (base 10) in base 4?\nAnswer: 11330213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = a - 9. What is the third smallest value in 2, a, 0.5, 2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t + 952 = 1108 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 46.4407 nanometers?\nAnswer: 0.0000000464407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98000 rounded to the nearest one thousand?\nAnswer: 98000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 14*u - 30. What is k(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -15. Let b be (6\/9)\/(f\/(-30)). Solve -2*u + b*u + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 - (0 - (-1 + 0))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:13 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-12)\/(-3))\/(-1))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2*g**2 - 7*g - 6. Let w be d(4). Let n = 43 + -23. What is the remainder when n is divided by (1*(-11)\/2)\/(w\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25353171?\nAnswer: 3, 17, 165707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t - 21 = -4*s, -3*s = t - 12. Let i(y) = y**3 + y**2 - 5*y + 2. Let h be i(t). Solve -4*q - 7 + h = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g - 153*g**2 + 2*g + 159*g**2 as r*g**2 + s + o*g and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 73253319 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: What is next in 680, 687, 694, 701, 708?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (38 - -42) + -5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*m - 10. Suppose -5*s + 11 = m*a, 4*s + s = -3*a + 7. Solve -3*g - a - 5 = 3*c, 5*g - 3*c - 25 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 5*w**4\/4 - 40*w**3\/3 + 105*w**2\/2 - 90*w + 52. Determine x, given that l(x) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 453*v - 25375. Calculate s(56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -2. Let a = -2 - -3. List the prime factors of (w + a + 3)*2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191742?\nAnswer: 2, 3, 31957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 20 = -3084*c + 3087*c, 0 = 4*c - 2*n - 40 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.424, 0.5, 2, 3\/2, -0.081?\nAnswer: -0.424","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 15 = 5*q, 702*q - 703*q = -5*c + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:57 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 3*c**2\/2 - 63*c\/4 + 98.\nAnswer: (c - 7)**2*(c + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cc7d0 - 1?\nAnswer: cc7ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/3 + (171 - 17578\/102) + (-161)\/(-3).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 1112?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 17. Let p(m) = -m + 2. Determine p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9870 and 1029.\nAnswer: 483630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -47?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21193\/10 + -2117. Let c = -114 - -21. Calculate the common denominator of (-1 + -3)*c\/8 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 13*j**2. Let b(f) = -404*f**2 - 1818*f. Determine b(n(w)).\nAnswer: -68276*w**4 - 23634*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 14*b**2 - 51*b - 4. Let m be l(-5). Let x be (-16)\/6*(-33)\/(-2). Let h = m + x. Sort h, -4, 0, 4 in increasing order.\nAnswer: h, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*m*n*x + 158*m*n + 10*m + 36316*n*x - 7*n + 3 wrt x?\nAnswer: 24*m*n + 36316*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900) - -3*sqrt(900)) + sqrt(36) + (sqrt(216) - (-2*sqrt(216) - sqrt(216)))\/sqrt(6))\/(-6*sqrt(48)*-2*-5).\nAnswer: -5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaggaiaaggigaigiog. What is prob of picking 1 a and 3 i?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**4 - 8731424*i**3 - 10451959*i**2 - 2.\nAnswer: -72*i - 52388544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 167, 152, 103, 8, -145, -368?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 422758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = a - 2*n + 102, -5*n = -3*a - 373. Does 16 divide 2 - a\/7 - (-4)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.51 times -0.0312?\nAnswer: -0.015912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -237680*w**4 + w**3 - 266591*w**2 wrt w?\nAnswer: -5704320*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122\/27 + 205\/108. Calculate the common denominator of (-3)\/((-21)\/(-2)) - 52866\/6804 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 451 - 451. Let h be (2 - 1\/(-1)) + 0. Put q, -5, h, 0.04 in decreasing order.\nAnswer: h, 0.04, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2760 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 891.3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -4*h**3\/3 + 52*h**2 + 4367*h. Give j(17).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1795*q**2 - q + 627*q**2 - q.\nAnswer: 2422*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*d**2 + 2\/7*d + 0.\nAnswer: 2*d*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 5, 3, 20 in decreasing order.\nAnswer: 20, 5, 3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y + 4*y - 4*y - 1. Let c be h(1). Let s(b) = 2*b + c - 4*b + 6*b - b**2. Let i(r) = -r**2 + 3*r + 2. What is 4*i(j) - 3*s(j)?\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28993364 and 33644?\nAnswer: 376913732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2713, -2\/7, -4\/3, -3\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 2*n**2 + 5*n**2)*(-3*n + 6*n - 4*n)*(73 - 178 + 78).\nAnswer: 54*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10101011100000 (base 2) to base 14\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044163247 rounded to four dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 2*u**2 + 2*u - 4. Determine g(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**2*z**3 - 290*j**2*z**2 - 3*j*z**2 - j + 461*z**6 wrt z?\nAnswer: -18*j**2 + 55320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 - ((-2 - 10) + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 822 + -184. Let r = -2317 + 2375. Calculate the greatest common divisor of r and h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -872, -859, -836, -803?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*l + 19 - 107 = 0, 3*r - 132 = -l. Let z be 4*(1*(-186)\/r - -4). Let v = -2 + 2. Which is smaller: z or v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:48 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Suppose -2*g - 5*h = -c*g - 53, g = -3*h + 25. What is the remainder when g\/(((-6)\/(-1))\/3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21099 or -21092?\nAnswer: -21092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3588969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/m**(2\/11) assuming m is positive.\nAnswer: m**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -31*y - 554. Let h(t) = -58*t - 1107. Calculate -6*h(z) + 11*x(z).\nAnswer: 7*z + 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76)*-5)\/(sqrt(288)\/sqrt(8)).\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4659\/(-30849) + (-198)\/(-63) + -3. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 935704 and 83006?\nAnswer: 10292744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 5:21 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 2*m**2 - 3*m + 3. Let u be i(2). Suppose -g - 2*o = -7*o - 28, 5*g + 2*o - u = 0. Factor 3*h**2 + h**g - h - 3*h**2.\nAnswer: h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 - 202 = -70*d. Let w(o) = o. Let j(t) = -2*t - 7. Let v(s) = -j(s) - 3*w(s). Calculate v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nineteen quarters of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w - 84. What is b(11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -820*f - 109*f**2 + 820*f to z*f**2 + v + m*f and give z.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 - 4*z**2 - 5*z**2 + z + 5*z**2. Let o be r(1). Let y be (-23)\/12 + (-8)\/o. Which is smaller: y or 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/8*2*2)\/(-72*77\/(-5544)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b - -1582e1?\nAnswer: 15833c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*p**4 - 14*p**3 + 19*p**2 - 15246 wrt p.\nAnswer: -32*p**3 - 42*p**2 + 38*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57839.8 kilometers to micrometers.\nAnswer: 57839800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 917085517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = 6*f + 24 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 7*g**2 - 9*g + 8. Suppose -9 = -3*c + b + 18, -4*c = 5*b - 17. Let f be i(c). Factor f*q + 2\/7*q**3 + 0 + 0*q**2.\nAnswer: 2*q**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2950\/11 + -268. Let s be (-2)\/(4\/50) + 4\/(-2). Let r = s + 25. What is the nearest to c in r, 4\/5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*n + 3 = 0, 48 = -a + 5*a + 3*n. Suppose 2*z - a = 25. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 2099945524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 7:35 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 290 and 1015?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/1 - -1. Does 9 divide 9*2*(-3 - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a**3 + a. Let w be v(-1). Let z(s) = -s**3 + 8*s**2 + 10*s - 3. Let j be z(w). Let u be 15\/j + 2\/(-4). Solve 0 = u*n - 4*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/5)\/(20\/100). Let z(a) = 0*a + 176 - 178 + a**2 - 5*a. List the prime factors of z(d).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 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: Suppose -b - y = -1, -3*y + 0*y + 5 = 4*b. Suppose -5 = -3*m - b. List the prime factors of 6*(4\/3 - m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 6:54 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -100\/22757?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9608, -16277, -22946?\n\"Answer: -6669*u - 2939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32222102 (base 5) to base 13\nAnswer: -9759c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 - -142. Suppose -10*a + b*a = -14. Solve 2*f = a*u + 2*u, -4*f - 16 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50145 is divided by 4178.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**6\/15 - d**5\/5 - d**4\/6 + 2*d**3\/3 - 8*d + 7. Let z(v) be the first derivative of r(v). Suppose z(i) = 0. What is i?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f - 2430. Let s = f + 34005\/14. Calculate the common denominator of 13\/11 and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/689 and -34\/583?\nAnswer: 7579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a week?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88638, 0.5, 18.\nAnswer: -88638, 0.5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 19465475\nAnswer: -1\/19465475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -664 and 247155.\nAnswer: -164110920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -2*sqrt(91)*-5 - (sqrt(91) - (4*sqrt(91) + sqrt(91))*-4 - sqrt(91)))\/((-2*sqrt(567) - sqrt(567) - sqrt(7)) + -1*-5*sqrt(7)).\nAnswer: 9*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = -3*w. Is (-3 + (-147)\/w)*4 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959575795?\nAnswer: 5, 17, 11289127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 34 (b) 2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 - 24*i - 24. Suppose -146*z = -275*z - 129. Determine k(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34302100 - -30?\nAnswer: -34302020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 13. Let h be (-721)\/12 + 22\/264. Let z be (-6)\/h*4\/(-1). Sort y, -3\/5, z, -3 in ascending order.\nAnswer: -3, -3\/5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + 0*k + k + 0*k + 19*k - 9*k + (2 + 3 - 6)*(4*k - 4*k - k) - 5 - 2*k + 5 - 1 + 1 - k + (0 - 8 + 7)*(-k + 2 - 2) as y + j*k and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1118 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -6*sqrt(36)\/sqrt(3))\/(sqrt(20)\/(sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143922580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53065 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: How many minutes are there between 8:54 AM and 7:22 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**2\/15 + 111664*v\/15 + 1558606112\/15 = 0 for v.\nAnswer: -27916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/8741323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/280)\/((-354)\/590)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**6\/2 + 9*k**4\/4 - 2*k**3 + 4. Factor h(v).\nAnswer: -3*v**2*(v - 1)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4433 - 112?\nAnswer: 4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - -11)*(4 - 1). Is 95 + (v\/(-5) - -8) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130101001 (base 4) to base 8.\nAnswer: 1342101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 9 + 2*p - 7)*(-2 - 2*p**3 - 3*p**3 + 3*p**3).\nAnswer: -8*p**4 - 4*p**3 - 8*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 181*f**2 - f - 3. Let w be ((-2)\/1)\/(-6) - (-160)\/96. Suppose -q - 1 = -w*m + 3, 0 = 5*m + 5*q - 10. Is o(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 13*r - 140. Let m be (2\/12)\/(6\/396). Let b be h(m). Let x = 0 - 0. Solve 9 = q - 4*a - x*a, 0 = 5*q + b*a - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 2*b**2 - 9*b + 2. Let u be t(-4). Suppose 11*w - u = 27. Suppose -g + 5*g = -5*m + 126, 2*m = w*g - 106. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/12)\/(4\/(-6)). Let v = 20 + -34. Let i = 10 + v. What is the second smallest value in h, 5, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 104534*k**2. Let f be w(-1). Let x = -294534 + f. Round x to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.227003 rounded to one dp?\nAnswer: -111.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1246)\/(-83) - (5 + (53 + -41)*30\/36)\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 9*b**2 + 3. Let s be c(9). What is the smallest value in s, 2\/17, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f + f - 5*f - 3*f + 4*f + 0*f + (4 + 1 - 3)*(-1 - 2*f + 1) + 6*f - 6*f - 4*f - 11*f - 14*f - 2 + 3*f to x*f + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9477 + -3356. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 22*v**2 - 18*v + 65. Let o be w(-21). Suppose 2*t - 1474 = -2*x, -o*x = 9*t - 4*t - 1462. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -770*h + 765. Determine a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 278, 556, 836, 1118, 1402, 1688, 1976?\nAnswer: 2266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419\/(-262)*((-40)\/30)\/(((-4)\/(-6))\/(-1))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 8*c**2 + 6*c - 5. What is the remainder when 61 is divided by k(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.1 (b) -2\/13 (c) 2\/9 (d) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -58*u + 2715. Give d(52).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6472054 to the nearest integer?\nAnswer: 2544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184821?\nAnswer: 3, 7, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*y - 16884 + 19714 + 41647 = 319*y for y.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1069 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 8*p**2 - 7*p + 9. Let y(v) = v**2 + 4*v + 2. Let j be y(1). Calculate m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 + 2. Let t = -7 + 13. Is t greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -577066 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 28 = 4*c. Solve 3 = c*p - 0*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1595678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from hrrkrrwlk?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379296 not equal to 4379298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 7:53 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16091*h**3 + 2*h**2 - 209*h - 13.\nAnswer: -96546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-8\/5)\/u*u)\/u**(2\/7))\/(u**(-2\/31)\/u**1))**(-9\/10))**(1\/8) assuming u is positive.\nAnswer: u**(8019\/86800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 6*t - t. Let h be ((-364)\/(-1) - 2) + 0. Let m be 16\/(-120) - h\/(-15). Calculate the greatest common factor of t and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/55475609 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 422?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 7*s**2 + 5*s + 4. Let w be a(6). Let l be w\/4*(1 - -1). Let y = l - -3. Solve 3*x + 12 = 3*u, -3*x - 10 = 4*u + y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.42 and 12.\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 13. Let v be y(3). Solve -3*q = -2*w - 4*q - 5, v*w + 2*q + 10 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 12, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.6, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/587677 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v**2. Let c(t) be the third derivative of t**5\/60 + 7*t**2. Calculate c(f(p)).\nAnswer: 100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11311 - 223335.14?\nAnswer: -212024.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20609 + 20617. What is the smallest common multiple of w and 188?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10*3*(-40)\/(-36)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/36)\/(1 - 2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 57*c**2 + 113*c + 296. What is the remainder when h(55) is divided by 95?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**3 + 174*s**2 - 2*s - 64. What are the prime factors of c(13)?\nAnswer: 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-8)\/(-160))\/(5\/(-30))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-5*g**3 + g**3 + 3*g**3) - 2 + 0*g**2 - 2*g**2 - 5*g**3 + 4*g**2.\nAnswer: -4*g**3 + 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.310391 to 3 decimal places.\nAnswer: 3.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55063 + 4?\nAnswer: -55057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 6:51 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(10\/3)*((p**(1\/2)\/p)\/p)\/p*p assuming p is positive.\nAnswer: p**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 152 = 164. Let d be 3\/(-2)*10\/(-3). Solve r*g - d - 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0281 - 4.0281. What is the third biggest value in 4, -3, -1, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14405832 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2053837.122+-0.8605\nAnswer: -2053837.9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -192, -314, -440, -570?\n\"Answer: -2*f**2 - 116*f - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6121601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1981 less than or equal to -1981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95082 and 4521179.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = -2*m - 18, -3*z - 2*m + 2 = 0. Suppose 82 = z*b - 2*l, -3*b = -4*b + l + 19. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d + 2*d**2 - 2*d**2 + 27*d + 240*d**3 to the form h*d**3 + p*d + b + s*d**2 and give h.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -28217\/12 less than -2.63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405*m**3 + 129*m**3 + 302*m**3 - 241*m**3.\nAnswer: 595*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 6*j**2 - 2*j + 2. Let k be q(6). Let f = -6 - k. Let s(g) = g**2 - 2*g + 1. Determine s(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpuu when four letters picked without replacement from {p: 2, u: 8, l: 8}?\nAnswer: 28\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, i: 4}. What is prob of picking 3 i?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 36 = -3*d, w = 5*w - 3*d - 69. Let a(v) = 2*v + 5. Let q be a(0). Solve 5*r + m + 12 = 35, q*m + w = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -7*q**3\/6 - q**2\/2 + 5*q. Let g(u) = -3*u. Let k(i) = -8*g(i) + 3*z(i). Let h(a) = -1 + 1 + 1. Determine 3*h(n) + k(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 3. Let c(b) = 2*b - 1. Suppose 20 = 3*w + 32. Let l(n) = w*f(n) - 5*c(n). Let k be (10\/(-6))\/(1\/(-3)). Calculate l(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1*4\/20*5. Let m(p) = p**2 + 5*p + 4. Let a(g) be the first derivative of g**2\/2 + g - 1. Let f(z) = 3*a(z) - m(z). What is f(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15, 55, 109, 183, 283, 415, 585?\n\"Answer: w**3 + w**2 + 30*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 6*v - 4. Let q(x) = 11*x + 1 + x**2 + 6 + x + 8. Let o = -33 + 22. Let f be q(o). What is h(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 6 - 3069*s**3 + 3146*s**3 to i*s + f + p*s**3 + n*s**2 and give p.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2. Let l(s) = -2310*s - 132. Let m(b) = -154*b + 1 - 5 + 2 - 7. Let h(x) = 3*l(x) - 44*m(x). Give h(i(d)).\nAnswer: -308*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t - 1. Let r(f) = -f**3 + 9*f**2 + 38*f - 26. Let p be r(12). Let j(s) = 21*s + 3. Determine p*j(i) - 5*v(i).\nAnswer: 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from xccamag?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 14*j + 8. What is the remainder when 45 is divided by v(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (143 - 139) + 1 + (-1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**8\/784 + 2*r**7\/245 - r**6\/56 + r**5\/70 - 106*r**2. Factor y(b).\nAnswer: -3*b**2*(b - 2)*(b - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 26*w**3 - 3*w**2. Let v(i) = -i**2 + 7*i + 117. Let l be v(-8). Let u(b) = -9*b**3 + b**2. Determine l*s(p) - 8*u(p).\nAnswer: -6*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**3 + 16*j**2 + 9*j - 9. Let p(b) = -b**3 - b**2 + b - 1. What is 2*g(c) - 18*p(c)?\nAnswer: 2*c**3 + 50*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4622.262 months to millennia.\nAnswer: 0.3851885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222 + -220 - ((3 + -1 - 6) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(147\/14))\/((-1)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3. Let a be 26\/4 - (-3 + (-54)\/(-12)). Let l be -1*(-3 + (10 - a)). Let o(n) = n**3 + n**2 + 7. Give l*o(c) + 5*z(c).\nAnswer: -2*c**3 + 3*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/18 + 27\/6. Solve 1 = -r*v + 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.09. Let b = j + 0.08. Let d = 0 + b. Do -0.1 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - 4. Find the third derivative of 4*x**i - 8*x**4 + 4*x**4 + 2*x**6 + 3*x**2 wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18817, -18818, -18819, -18820, -18821, -18822?\nAnswer: -18823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5324949776 and 0.3?\nAnswer: 5324949775.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 u when four letters picked without replacement from {x: 4, k: 4, u: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 367*i + 19 - 8 - 185*i - 183*i. Let d be c(5). Solve d*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.233 + -0.162. Let c = -191 - -191.187. Let m = q - c. What is m rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**5 - 39*c**4 + 138*c**3 - 132*c**2 - 120*c + 192.\nAnswer: 3*(c - 8)*(c - 2)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -67. Let r = 2296 + -2215. Let y = j + r. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 2*w + 5. What is the remainder when 4\/14 + (-2795)\/(-91) is divided by f(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-1))\/(4 + 1). Let z be (-3)\/((855\/(-4))\/(-5)). Let k = 29\/399 - z. Which is the closest to 0.1? (a) k (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -10. Let j(m) = m**3 + 5*m**2 - 10*m - 15. Let d be j(-6). Let g(y) = 62*y - d + 13 - y**2 - 68*y. Determine g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -627962*c**5 - 95522*c**2 + 2*c wrt c?\nAnswer: -37677720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxm when three letters picked without replacement from {x: 1, i: 2, c: 2, v: 2, f: 1, m: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xccccxcxcxcxc. Give prob of sequence xccc.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*a**2 - 89 - 28 + 117.\nAnswer: -331*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2 = 14. Suppose -2*p + u = -0. Find the common denominator of 107\/18 and 5\/15 - 47\/p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/15*k**3 + 326\/15*k**2 + 502\/15*k - 332\/15 = 0.\nAnswer: -2, 1\/2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 7 + 17 + -19\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {k: 1, j: 1, x: 6, m: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 21 = 12*d - 14*d, 0 = -2*s - 3*d + 19. Suppose 3*o + 10 = f, s*f - 32 - 38 = 5*o. What is the greatest common divisor of f and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -148\/3, 9388?\nAnswer: 9388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 3. Let m(t) = -3 + 2 - 3*t - 4. Let v(p) = 11*p**2 - 3 - p - 18*p**2 + p - p**3 - 7*p. Let r be v(-6). Determine r*m(h) - 5*k(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one quarter of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2909 or -2900?\nAnswer: -2909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6838 + 152. List the prime factors of f.\nAnswer: 2, 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 749326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3368.2 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*3\/((-6)\/1). Suppose f*l = -4*l + 2*l. Put 15, l, -4 in increasing order.\nAnswer: -4, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -2\/3, 5, 1\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p**2 + 3*p - 3*p in the form w + v*p + l*p**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -360312 + 10329064102\/28667. Are j and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 2. Let q be w(-4). Let n be (1 + 115)\/(q\/20). What is n rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.11 (b) -2\/3 (c) 2\/21 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(((-3)\/1)\/(-30)). Suppose -2*o + 7*o - s = 0. Suppose o*j - 69 = 103. What are the prime factors of j?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 74*f**3 - 74*f**3 + 5*f**5 + (3*f - 3*f + 4*f**2)*(-2*f**3 - 3 + 3).\nAnswer: -3*f**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 <= 923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00595 from 0.4.\nAnswer: 0.40595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s - 5*s + 14*s)*(-5 + 0 + 4)*(180*s**2 + 341*s**2 - 359*s**2).\nAnswer: -324*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/60 + 7*u**4\/12 + 7*u**3\/2 - 47*u**2. Let o = -60 + 43. List the prime factors of t(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (6 - 4)) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 6 = 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 523972133 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, -11 in increasing order.\nAnswer: -11, -4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let c(s) = -18*s - 9*s + 8*s - 7*s. Determine c(y(i)).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 38*h - 15. Give m(-18).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 1, -10*g + 2404 = -2*f - 14*g. Let q(y) = -445*y**2 + 2*y - 1. Let t be q(2). Let n = f - t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12*c - 3. Let z(f) = 135*f + 10 + 10 - 137*f. Let i be z(14). Let y(b) = 4*b - 1. Determine i*y(o) + 3*n(o).\nAnswer: 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91062 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44214997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/27)\/(2\/(-2)). Sort -3\/7, l, -0.8 in decreasing order.\nAnswer: l, -3\/7, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 965 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 194718011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + 198*z + 12. Let x be p(-33). Solve 4*h - x - 8 = -4*c, -2*h - 2 = -2*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2641.8*0.2\nAnswer: 528.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 r, and 1 l when three letters picked without replacement from otlrlktlkatl.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11617373437 and 29.89.\nAnswer: 11617373466.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-25))\/((-2)\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 - 20. Suppose p*s - 13*s + 735 = 0. Calculate the highest common divisor of s and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -54*g**4 - 26150*g**3 + 205292*g**2 - 179088*g = 0.\nAnswer: -492, 0, 1, 182\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4287182251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(150)\/sqrt(2))**2 + -1 + (sqrt(6)\/sqrt(2) + -3)**2 + -1 + (sqrt(48))**2.\nAnswer: -6*sqrt(3) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-27)\/(-1) + -38 + 40\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1331) + 1)*-3 - (sqrt(539) + -1)*-3))**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 517643.8235 rounded to the nearest 1000?\nAnswer: 518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 74211 bigger than 74474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -j + 49 + 64, -5*j + w + 561 = 0. What is the highest common factor of j and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*j + 1143 - 4510. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 m when four letters picked without replacement from {m: 3, f: 5, d: 2, c: 9}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.68 - -1.69. Let v = 7.61 - g. Let r = 9 + -14. Which is the nearest to 0? (a) 1\/4 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z + 5. Suppose -b = z*l - 10, 6 = -3*l + 4*b + 35. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*d**2*p + 9*d**2 + 4667*d*p - d + 7169026*p wrt d?\nAnswer: 30*d*p + 18*d + 4667*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + a = 10, -2*l + 2*a + 1 = -3. Find the third derivative of 0*b**2 + l*b**2 + 4*b**2 - 2*b**6 + b**6 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f - 11. Let q be a(6). Let b = q + -34. Suppose 2*y + 8*y**4 - 4*y**5 - 3*y**b + 5*y**3 - 6*y**2 - 2*y**4 = 0. What is y?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 214?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 638 - 635. Solve -d*i + 27 = 18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -127032 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 + 5*m + 4. Let v = 4 - -3. What are the prime factors of y(v)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 1\/6*m**4 + 0*m**3 + 0*m - 1\/3*m**2 + 7. Factor r(j).\nAnswer: 2*j*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 875, 3403, 7615, 13511, 21091, 30355, 41303?\nAnswer: 53935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 = -3*l - 4*a, -2*l + 7*l - 3*a = 709. Let n = -69 + 85. What is the remainder when l is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z + 25*z = 200 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1332*l + 15879 - 49179 = 0 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 56, 30, 4, -22, -48?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 136 - -2 - 1 - 6. Suppose -y - 22 = -17*d. What is the highest common divisor of 99 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.332, 0.5, 15, 3, -9, 14\/11?\nAnswer: -0.332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45970058081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15033 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 8. Let m be k(0). Is 8\/32 + (-1286)\/m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(1 - 3 + 3)*(j - 2*j + 13*j) + 3*j - 4 + 4.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-109)\/(-2) + (-111)\/(-74). Suppose -53*o + l*o - 81 = 0. What is the remainder when 105 is divided by o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274957512 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + -2*sqrt(130))*4 + (sqrt(130) - sqrt(130)*1)*6)\/(sqrt(80)\/(sqrt(72)\/sqrt(9)) - -4*(sqrt(10) + sqrt(490))).\nAnswer: -4*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (215 - 225) + 609\/(-14)*-6*(-3)\/(-27).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2. Let d(z) be the third derivative of 7*z**2 - 1\/3*z**3 + 0*z + 3 + 11\/8*z**4. Calculate d(f(s)).\nAnswer: 33*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 35)*(35\/25 - 1). Suppose 2*i - 5*p - 31 = 0, -3*i + 4*p + 31 = -12. Is c not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 255111282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48000, 96120, 144144, 192024, 239712?\nAnswer: 287160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49961\/12 - 4192. Let k = -109\/4 - f. Suppose -8 = 2*q + 3*t, -q + t = -1 - 0. Which is the nearest to 0? (a) q (b) -0.2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (148\/(-8))\/(2\/(-4)). Suppose 0*l - x = l. Let u = 70 + l. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16.9 (b) -10 (c) 5 (d) -1\/4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(76) + 2)*-2 + sqrt(19) + 5*(sqrt(133)\/sqrt(7))**2 + 2*sqrt(304)).\nAnswer: 20*sqrt(19) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -48*g**3 - 11*g**2 + 14*g - 17. Let d(q) = 16*q**3 + 4*q**2 - 5*q + 6. Give -4*a(c) - 11*d(c).\nAnswer: 16*c**3 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -5*y**3\/6 - 3*y. Let w(a) be the second derivative of 0 - 3*a + 0*a**2 - 1\/6*a**4 + 0*a**3. Calculate w(z(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 2, x: 2, v: 3, u: 3, y: 1}. What is prob of sequence vv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 21171\/8 - (-39)\/(-104). What is the greatest common factor of 98 and f?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 4 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a millennium in months?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-3\/4))**18\/((d**(-2\/19)\/(d*(d\/((d*d**(3\/2)*d)\/d))\/d))\/(d\/(d*d*d*d**0)*d*d)**(-7)) assuming d is positive.\nAnswer: d**(-53\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 10*n - 14*n + 136, 0 = -4*u + n + 113. Do 39 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.004 + -1.744. Let x = -32 + 32.06. Let q = -0.04 - x. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -194 (b) -3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252 - 138. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -2\/7, -2 in descending order.\nAnswer: 32, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 3, 10 in decreasing order.\nAnswer: 10, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -23*u**3 + 28*u - 4. Let a(n) = 69*n**3 - 85*n + 11. Let t(d) = 4*a(d) + 11*o(d). What is the second derivative of t(f) wrt f?\nAnswer: 138*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002376136 to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 2041, 7787, 19433, 39055?\nAnswer: 68729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -578 divided by 1823\nAnswer: -578\/1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*y - y - 124, 5*d = -y - 125. Let g = -72 - y. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.73497 rounded to 2 dps?\nAnswer: -43.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38.2 (b) 315 (c) -1.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -313, -8, 0.4, -14.3, 0.1 in decreasing order.\nAnswer: 0.4, 0.1, -8, -14.3, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.32 in -2\/17, 0, 2\/11?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**5\/4 + 25*p**4\/6 + 130*p. What is the third derivative of l(d) wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkkkfkkkfkfkkkkkkkkk. Give prob of picking 1 f and 3 k.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8117.99 litres?\nAnswer: 8117990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 3643493.\nAnswer: 1\/520499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -241?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 2, n: 3, f: 2}. Give prob of sequence bfny.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481855389*b - b**3 - 481855389*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -657 or -658?\nAnswer: -657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s + i + 3 = 0, -1 = -4*s + 5*i. Let a be -9*(s + 0) - -2. What is the highest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 107.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 5038037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003835 rounded to 7 decimal places?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 66. Suppose 3*b - b - q = 0. Suppose 5*s + b = -l + 71, -2*s + 157 = 3*l. Round l to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*1*(sqrt(36)\/((-1*sqrt(132))\/sqrt(11)) - (sqrt(147) + -1)*-2).\nAnswer: -7 + 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6 - 79*n**4 - 3 - 3*n**5 + 159*n**4 + 62*n**2 wrt n?\nAnswer: -180*n**2 + 1920*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a - 10. Let p be (-138)\/14 + -2*1. Let y = p - a. Put y, -0.3, 0.1 in decreasing order.\nAnswer: y, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -580 + 579.9. Let h = -1.14 + 2.15. Let q = h - 0.01. What is the closest to q in 1, 3, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.1, 3.1, -10 in descending order.\nAnswer: 3.1, -0.1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -3725 to the nearest one hundred.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*v + 67*v - 44*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:37 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, g: 4}. What is prob of sequence zg?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2873 divided by -25?\nAnswer: 2873\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64457083 to the nearest integer?\nAnswer: 8029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let v be (63\/18)\/(2\/4). Suppose 3*z = 3*x + 3, 0 = 2*x + z + 4*z - 26. Suppose 0*g = -x*g + 21. What is the highest common factor of v and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 5*g**2 - 2*g - 10. Let r be i(-5). Suppose 3*d + r*d - 9 = 0. Suppose -149 = -d*p - 8. What is the remainder when 91 is divided by p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -8) + (1 - 10) - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/11 in -48, -1, -72\/19, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*17\/510*-12.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - 7. Suppose 3 = -2*u - 11. Let t be m(u). Suppose -4*q + t - 6 = 0. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h - 22 = 0, -5*h - 32 = -7. Let f(a) = 10*a**2 - 10*a + 15. Let g(j) = 8*j**2 - 8*j + 14. Let l(p) = 5*f(p) - 6*g(p). Does 9 divide l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325.9 to 0 dps.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342622 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 18. Let h(q) = 2*q + 19. Let f(b) = 4*h(b) + 3*u(b). Let v be f(-2). Let g(s) = s**2 - 11*s - 16. Determine g(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2367721 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ien when three letters picked without replacement from {i: 3, n: 4, q: 5, e: 7}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 125*q**2 - 830*q + 1200.\nAnswer: -5*(q - 15)*(q - 8)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + (-2*sqrt(170) - sqrt(170)))*5 + sqrt(170))\/(sqrt(10) - -3*sqrt(490)).\nAnswer: -9*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21425 - -21429. Let q(r) = 68*r**2 - 1. Let m be q(1). Which is the third biggest value? (a) n (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + m = -3, 1526*q - 1528*q - 4*m - 150 + 138 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/272 and -3\/244.\nAnswer: 16592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -10. Suppose -s*z - 10 = 5*l - 35, 5*l - 35 = -4*z. What is the third derivative of -15 + 15 + 8*g**2 - 2*g**l wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -51*m**4 + 16*m**2 + 24*m - 2886. Let j(p) = 68*p**4 - 22*p**2 - 32*p + 3848. Let d(y) = 8*j(y) + 11*z(y). Differentiate d(v) wrt v.\nAnswer: -68*v**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + 0 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2074450 = 67*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -14*x**2 - 56*x + 11. Determine f(-5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -8622?\nAnswer: -861a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -18\/2101, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = 19*m + 230. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -8. Let p(w) be the first derivative of 1 + 3\/2*w**4 + 0*w**y + 6\/5*w**5 + 0*w + 1\/3*w**6 + 2\/3*w**3. Factor p(f).\nAnswer: 2*f**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 346.3 - 346. What is the second biggest value in o, 7, 1\/4, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 781 divided by -8\nAnswer: -781\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-1411997 - 3)\/2. What is s rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16933\/6963 + -8\/211. Let l = -1685560\/9 + 1703594\/9. Let w = 1998 - l. What is the common denominator of a and w?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**10*k*k\/k**(-3))\/((k*k**4)\/k)**4 assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from qqqqqiifqqiqi.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 0*b + 2*b + 3*b. Let l(d) = 2. Let p(a) = -a - 3. Let f(g) = -3*l(g) - 2*p(g). Determine f(q(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9901\/4712 + 123\/248. What is the common denominator of (64 - -3)\/(4 - (-3 - -12) - 104\/2) and a?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28083 + -388?\nAnswer: 27584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2121102 + -2022011101?\nAnswer: -2101202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16032922 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*h - 5*n, 104*h = 99*h - 2*n - 22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 - 2. Let v = -4.8804 + -0.1196. Which is the nearest to l? (a) 0.5 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 9 + 4)*(8 + 13 - 23 - 58*u) to w + s*u and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/80 + (-85)\/(-4). Suppose h = 2*l - 3*j, -5*l - 2*j + 46 = -28. Let n be (-54)\/l + (-14)\/98. Sort 2, n, 5 in increasing order.\nAnswer: n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.7949 times -4\nAnswer: 7.1796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + s = -710, 7*s - 266 = -2*b + 11*s. What is the remainder when 5289 is divided by b?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 9*g**2 + 4*g - 6. Let r(p) be the first derivative of p**3\/3 - 5. Let a(l) = b(l) + 4*r(l). Suppose 0 = 4*o - 2 + 26. Calculate a(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 2 d when four letters picked without replacement from {d: 2, j: 1, y: 3, e: 3, s: 1, t: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0102361 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-6))\/((-4)\/(-852)). Let n = d - 27. Suppose 31 = 5*w - n. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/8 and 103\/680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 982599\/389 at most 2527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -12798\/59 < 1.74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 - 1 + 2*z**3 - 6*z**3 + 17*z**2 - 1366*z + 1369*z as n*z + l*z**2 + h*z**3 + s and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70 + 2*w**2 - 30 - 40.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f + 4. Let o be w(9). Suppose o = -n + 25. Let y = 389\/5 + n. What is the closest to y in 1\/2, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 987038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2198044?\nAnswer: 2, 549511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1986.91637 - 0.08363. Which is smaller: n or 2\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-42)\/(-9) + (-1)\/(-3). Let u = 18 + -9. Let g(h) = 5*h + 16. Let c(b) = -b - 4. Let m(s) = u*c(s) + 2*g(s). Give m(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 59*x - 27. Let t = 211 - 202. What is the tens digit of a(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23185590787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 34511 + 10301 - 180930 = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**2 + 19*m**2 + 6*m**2 - 13*m**2. Let l(s) = 40*s. Give l(w(h)).\nAnswer: 160*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**6\/10 - 59*p**4\/2 + 2665*p**2\/2 + 4207*p. What is the first derivative of q(x) wrt x?\nAnswer: -12*x**3 - 708*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdgpd. Give prob of sequence dd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24 - ((-10)\/2 - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 74, 69, -3\/1094.\nAnswer: -3\/1094, 1, 69, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 143667*l - 3447996. Determine q(24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*q = -237 - 496 + 473 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -14 + 3 + 4 + -3. Let p = f + 27. Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2495 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2118639?\nAnswer: 3, 706213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2804 and -143\/37854.\nAnswer: 75708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9754?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c4b9 + -5?\nAnswer: c4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10935*0.1.\nAnswer: 1093.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 0*y + 0 + 2*y**2 - 3\/2*y**3 - 5\/12*y**4 - 1\/60*y**5. Calculate the remainder when v(-8) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 + 216 - 36)*(3 - 2*y**3 - 3) in the form a*y**2 + d*y + k + i*y**3 and give i.\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 110.7756?\nAnswer: -31.017168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:17 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j**3 + j**2 - j + 1. Let w be n(2). Suppose 34 = -2*x + 12. Let o = w + x. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 5977491?\nAnswer: -2\/5977491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**4 - y**2 + 2*y - 1. Let k(q) = -136*q**4 + q**3 - 95*q**2 - 10*q + 5. Let x(h) = -5*d(h) - k(h). What is the third derivative of x(v) wrt v?\nAnswer: 3384*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.07494 minutes in days?\nAnswer: 0.577135375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34459 + -23107. Is 43 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - ((-33)\/4)\/(12\/48). Let n = y - -29. Calculate the remainder when n is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 358 + -236. Find the third derivative of 9*i - i**6 + j*i**5 - 9*i + 44*i**2 + 89*i**2 wrt i.\nAnswer: -120*i**3 + 7320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20*g - 196. Let t be b(11). What is the second derivative of 12*q + 54*q + t*q**5 - 129*q**3 - 1 + 129*q**3 wrt q?\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*w - 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1586 plus -16.7042?\nAnswer: 1569.2958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1, -4*i - 167 = 5*u + 2656. Let k = -277 - i. Calculate the common denominator of 125\/6 and k\/150 - 2\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 9 = -8*i - 3*s, -s + 4 = 0. Let j(o) = -o**3 - 5*o**2 + 22. Let r be j(i). Factor 0 + 8\/3*q - r*q**2 + 4\/3*q**3.\nAnswer: 4*q*(q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = 6*u - 5*w, 0 = -4*w + 16. Let j(y) = 2*y + 2*y - u*y. Let t(a) = -a**2. Give t(j(x)).\nAnswer: -121*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from cccnnnccncnccccc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 5) + 1 - 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**5 + 724*k**4 - 10*k**3 - 3*k**2 - 6*k + 207690 wrt k?\nAnswer: 40*k**3 + 8688*k**2 - 60*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2. Let q(y) = 230 - 47*y**2 - 182 - 5*y + 3*y. Let n(b) = -q(b) + 6*t(b). What is the second derivative of n(p) wrt p?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3930 + 5598. What is the remainder when x is divided by 829?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 7 + -1 - 0) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - 88*i - 132. Let k be f(-19). Solve -62*r + 14*r - k = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -83. Calculate the least common multiple of o and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12941379?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h**2 + 53*h**2 + 30*h**2 + (h**2 + 4*h**2 - 4*h**2 + (-2*h + h + 3*h)*(-301 + 301 + 19*h))*(-5 + 4 + 3) to the form u*h + b + w*h**2 and give w.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 10:02 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = 2*l - 1, 2 = -3*n + l. Let r be 216\/56 + n + -3. Let j be ((7 + -7)\/(-4))\/(0 + 4). Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2044*g + 2072*g - 55530 - 29506 = 0. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g + k - 47, -2*k - 6 = 0. Suppose -12 + 56 = 4*u. Calculate the smallest common multiple of (15\/g)\/(2\/10) and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2290 = -12*k + 2074 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 + -91. List the prime factors of h.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10322063 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 951 a factor of 774774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2412810090.\nAnswer: 2, 3, 5, 4673, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -382*m - m**2 - 2096 + 7*m + 375*m as z + q*m + j*m**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2547875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 + 6.1. Let l = -1497\/5 + 299. What is the biggest value in g, l, -2, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 5*b - 9. Let n be w(7). Let s = 13 - 7. Solve s = c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o**3 - 4*o + 36235 + 3*o**3 - 18067 - 18113 to u*o**3 + k*o + f*o**2 + r and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3312)\/460*5\/(-20)*(10*12)\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/160 and 61\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35.3 and 176.\nAnswer: 140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3328 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.008828 - 146.284828. Let g = 0.276 + m. Let n = -147.9 - g. Which is the second smallest value? (a) n (b) 1\/4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825 and 39105.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/1837 (b) -0.3 (c) 1 (d) -2 (e) -0.084 (f) -2\/41\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37, -94, -259, -586, -1129, -1942?\n\"Answer: -9*r**3 + 6*r - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1789, 3710, 5649, 7606, 9581, 11574?\nAnswer: 13585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*4)\/((-9)\/(-27)). What is the units digit of (-4)\/j - (-285)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) - (sqrt(2592)*2 - sqrt(2592)) - sqrt(18))\/sqrt(900))**2.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand d - d - d**5 + (0 - 2*d - 2 + 4)*(54*d - 28*d - 38*d)*(6*d**3 - 2*d**3 + 2*d**3).\nAnswer: 143*d**5 - 144*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64286, 128559, 192832, 257105?\nAnswer: 321378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5230300 (base 7) to base 10.\nAnswer: 629209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/4, -10, 1\/5, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 11*r**2 - 8*r**2. Let i(p) = -14*p - 24. Let u(y) = -184*y - 320. Let k(l) = -40*i(l) + 3*u(l). Calculate k(c(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185638973.\nAnswer: 13, 137, 104233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8 - 5*l - 4*l**2 + 9*l + 8*l. Let d(j) = -12*j**2 + 36*j - 24. Let y(t) = -2*d(t) + 7*r(t). Factor y(x).\nAnswer: -4*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16995)\/1133)\/((-5)\/7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2. Let k(s) be the third derivative of s**5\/30 + 37*s**3\/2 - 47*s**2. Give y(k(x)).\nAnswer: 8*x**4 + 888*x**2 + 24642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**2 - 3*n - 6. Let o(u) = -u**2 - u - 1. What is 6*o(a) - w(a)?\nAnswer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from cfccccccffcc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3 + 1023051*a**2 - 5115236*a + 6138276 = 0?\nAnswer: 2, 3, 1023046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let i(f) = -6*f. Let c(u) = -u**2 - 3*u + 7. Let l be c(-7). Let w(n) = l*b(n) - 4*i(n). Let v(s) = 2*s**2. Give w(v(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23 times -29\nAnswer: -667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60342 or 60340?\nAnswer: 60340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -6 (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1772 times -1469.5\nAnswer: 2603954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*f + 5, 2*f + 3*y = -f + 3. Suppose -i + 3*l = 10 + 6, f = i - l + 6. Let s = 13\/7 + -2. Put 2, i, s in decreasing order.\nAnswer: 2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 6*h - 3*h)*(0 + 0 - 15) + h + h + h + 3*h + 2*h - 4*h.\nAnswer: 124*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2109\/8 - -263. Let d = g + -1\/8. Let z = 5.030168 - 0.030168. Which is the nearest to -2\/3? (a) d (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.1893 take away 13462554377?\nAnswer: -13462554370.8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282*m + 282*m + 12*m**2)*(4 - 6 - 3*m**2 + 1 - 2*m).\nAnswer: -36*m**4 - 24*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3413924 is divided by 322.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2107414, 8429606, 18966582, 33718342?\n\"Answer: 2107392*s**2 + 16*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7}. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + 0.5. Let r = 7 - 7. Suppose r*l = 4*l. What is the nearest to l in c, -5\/4, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 913?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235325 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (733 + 3\/((-18)\/12))*1.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -143, -328, -595, -950?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1, 0, 17.5, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27557 or 1?\nAnswer: -27557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t**2 - 25*t + 125. Calculate z(19).\nAnswer: 1816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m**2 + 197*m**5 + 209*m**5 - 2*m**6 - 246*m - 59*m**4 - 406*m**5 wrt m.\nAnswer: -240*m**3 - 1416*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 4:59 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405394224 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose -17614 = 5*z - 17584. Let h be ((-12)\/(-5))\/z + b. Put -2\/25, h, 5 in decreasing order.\nAnswer: 5, -2\/25, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*s - 526, -5*s + 3*k + 654 = k. Suppose s = -g - 4*g. What is the common denominator of 89\/16 and (-2)\/6 - g\/(-24)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 - 47*c - 216. Let k be x(61). Round k to the nearest 100.\nAnswer: -21700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20527\/60 + -1028\/3. Find the common denominator of -113\/340 and j.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22865459 to the nearest ten thousand.\nAnswer: 22870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -0.4, -3, 2.1225?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.9887116 hours?\nAnswer: 3559361760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78935875 to the nearest integer?\nAnswer: 8885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -81, -1, 92 in descending order.\nAnswer: 92, 4, -1, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + o + 3 + (0 - 4 + 1)*(2 - 2 + 3)*(-2*o - 3*o + 4*o)*(-75 + 38 + 34).\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 23623097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 43. Let k(z) be the first derivative of z**3 + z**2\/2 + 2*z - 2. Calculate the remainder when k(b) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -337*h**3 - 216*h**3 + 171*h**3 + 510*h**2 - 258*h**3 - 96*h**3 wrt h.\nAnswer: -4416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -26*n - 86. What is m(12)?\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 9) in base 4?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*m = 329*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 10 - 3 + 18 - 4 in the form s*y + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 - 0.04. Let p = -1.2 - -1.1. What is the nearest to p in 3, -1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/12 + 17*x**3\/6 + 22*x**2 - 31*x. What is the remainder when g(18) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-8696747.4\nAnswer: 43483737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/33 and ((27\/27)\/((-22)\/10))\/(217\/(-56)).\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -885*n = -734*n - 604. Calculate the smallest common multiple of n and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.1325 rounded to 1 dp?\nAnswer: 53.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -35*52\/182 - (-58748 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - p**2 + p**2 + (p - p - 5*p)*(0 + 0 + p) - 2*p**2 + 0*p**2 + p**2)*(3 - 4 + 0)*(-2 + 1 - 3).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3965*s**2 + 6*s - 2. Let h(l) = -55050059*l**2 + 83307*l - 27769. Give -4*h(n) + 55538*q(n).\nAnswer: -7934*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14982.582 nanoseconds?\nAnswer: 0.0000002497097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -8 (c) -6757\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5))**(1\/6) assuming p is positive.\nAnswer: p**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**2 - 771*g - 24756. Calculate s(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 141\/115 - 42\/23. Which is bigger: x or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162802 - 14?\nAnswer: 3162788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 18 = -2*r, 2*r + 22 = 235*g - 231*g. Solve -15*w + 5*c = 0, 5*c - 4 = -g*w - 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 - 89. Find the common denominator of 9\/10 and 5\/20 - x\/60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2312 + 3632. Calculate the common denominator of 137\/48 and 13\/3*225\/m.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-20))\/((-63)\/56)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -164079 + 163869.0016. Let i = k - 0.0016. Let r = -210.000167 - i. What is r rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187967 divided by 1\nAnswer: -187967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370, 1463, 3284, 5833?\nAnswer: 9110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75, 60, 43, 24?\n\"Answer: -f**2 - 12*f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 41*h**2 - 38*h - 165. Let f be u(42). Which is the nearest to 1? (a) 45 (b) -3 (c) -5 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/3 + (-30)\/10. Solve t = -3*s + 4, 4*t - t - k = 2*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2901408 and 19261109.\nAnswer: 16359701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d. Let s(u) be the first derivative of 5*u**4\/2 + 13*u - 6. Let p(t) be the first derivative of s(t). Calculate h(p(c)).\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43.4 - 0.0309601101467.\nAnswer: -43.4309601101467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w + w + 0*w + (4 + 0 - 5)*(-5*w + 6*w + 2*w) + 18*w + 2210*w + 3278*w + 3219*w + 1405*w to the form p*w + o and give p.\nAnswer: 10128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8526, -16807, -25088, -33369, -41650, -49931?\nAnswer: -58212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -1052*s + 1051*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 88 = 97. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -14. Solve 0 = -c*p - 2*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-156)*(-108)\/81.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0)*(14 - 0)\/(-252).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 21. Let v(z) = 0 + 13 + 4*z + 2*z**k - 2. Calculate the remainder when 161 is divided by v(-5).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19680 divided by -3936?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let z be m(-2). Let b(h) = 7*h + 2. Let a be b(z). Let s = 6015 + -5951. What is the highest common factor of s and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 1 = 2*u. Let z be 6\/3*-1*u. Let b = z + -17. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327054981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*l = 277*l - 187138. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49685337?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16142, -30981, -45820, -60659, -75498?\nAnswer: -90337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 70 = 110. Let x(k) = 2*k + 4. Let m be x(s). Solve -8 = 3*j - 3*i + 2*i, 0 = -4*j + 4*i - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 7 = -2*b, -11*b + 23 = -6*b - 2*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2 - -7) + 22.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2 + 157*m - 115. Give c(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 2. Suppose -117 = -757*v + 770*v. Give k(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 482*i - 522 + 40 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -29415\nAnswer: -16\/29415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-125 + 280 - 133)*(-2 + 3 + 6) + 4 - 1 + 1)*(2*s - s**2 - 2*s) as q*s**2 + d + a*s and give q.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + 16 + -22\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -317 - -317. Let i be (-9)\/36*(y + 20). Let s(r) = 0*r**2 + r - 1 + r**2 + 2. Let b(m) = 2*m**3 - 6*m**2 - 5*m - 5. Give i*s(c) - b(c).\nAnswer: -2*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) -1\/3 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1722 + 451 + 54*n - 21*n - 34*n to k + s*n and give k.\nAnswer: 2173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4363?\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 0*b - 1\/28*b**4 + 1\/70*b**5 + 0 + 1\/21*b**3 - 1\/420*b**6 - 18*b**2. Factor f(n).\nAnswer: -2*(n - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpjnn. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by 30\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 51. Find the third derivative of -2*l**2 + w*l**4 - 8*l**4 + 2*l**2 + l**2 wrt l.\nAnswer: 120*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -47\/14 (b) -3 (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjjjjjzjj.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1.403 (c) 1 (d) 1\/4 (e) 255\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42, 98, 166, 252, 362?\n\"Answer: y**3 + 49*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362, -722, -1082, -1442, -1802, -2162?\nAnswer: -2522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/8)*r*r**(6\/7)*r*r assuming r is positive.\nAnswer: r**(265\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -98.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.79 or 2?\nAnswer: 3.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3372, -3567, -3890, -4341, -4920, -5627, -6462?\nAnswer: -7425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, 1, 4, -4502, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1001)\/(-182)*(-22)\/24684.\nAnswer: -1\/204","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -4.2 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 91 + (-4)\/(-2) + -5 - (-106 - -100). What is the highest common factor of p and 1457?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2233034 and 2721.\nAnswer: 6699102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.59 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-205)\/210 - -1)*(-22)\/(-330)*-15?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -0.1, 17, 21?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 0*y**2 - 3*y**2 + (4 - 3 - 3)*(3*y**2 + 2*y**2 - 2*y**2) - 6436501 + 6436501 + 91*y**2 - 66*y as u + v*y**2 + j*y and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - t + 12. Let y(a) = a**2 + 7*a - 4. Let j be y(-8). Let k be g(j). Let s be ((-3)\/2)\/((-5)\/(k\/(-6))). Sort s, 7, 6 in increasing order.\nAnswer: s, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -19*a. Let l(u) = 7*u. Let r(y) = y**2 - 18*y + 5. Let x be r(18). Let s(h) = -8*h. Let m(n) = x*s(n) + 6*l(n). Determine t(m(p)).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 6, -16772 in ascending order.\nAnswer: -16772, -5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -6 - (2 + -2)) + -1 - -41?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*p = 2728. Find the third derivative of -c - 41*c**2 - 305*c**4 + p*c**4 + c wrt c.\nAnswer: 864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 133\/4, 0.02?\nAnswer: 133\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792610000 rounded to the nearest 1000000?\nAnswer: 1793000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 155 and -1?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -2700?\nAnswer: -26a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 20, 23, 30, 41, 56, 75?\n\"Answer: 2*t**2 - 7*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.079 + 11.921. Let t = q + -11.8. Let v = 0.16 - 0.06. What is the closest to v in t, 0.07, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1089411, 1089410, 1089409, 1089408, 1089407?\nAnswer: 1089406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Let m = 635 - 214. Let w(h) = -417*h - m*h + 820*h. What is c(w(a))?\nAnswer: 972*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(34)*-1)\/sqrt(2))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - m = d, 3*m = -2*d. Let a(w) be the third derivative of 1\/60*w**5 + 1\/120*w**6 - 3*w**2 + d*w + 1\/12*w**3 + 0 - 7\/96*w**4. Factor a(p).\nAnswer: (p + 2)*(2*p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:35 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/d**(1\/3)*((d*d**1)\/d)**(-2\/87))\/((d*d*d**(-1\/4)*d)\/(d*(d*d**5)\/d))**(-7\/6) assuming d is positive.\nAnswer: d**(1289\/696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + (-1 - -1) - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + g**2 - 1. Suppose 3*i - 2 = i. Let s(u) be the first derivative of u**4\/4 - u**3\/3 + u - 1. Give i*v(l) + s(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 20*c**2 - 20*c - 14. Let k be l(-21). Does 17 divide (-679)\/k + 4\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 1563 = 6519. What are the prime factors of c?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + -1 + (26 - 4) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 426609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.0294 to the nearest integer.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6621132 and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -5.2. Which is the nearest to -5? (a) 3\/2 (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + 176. What is the greatest common factor of 38 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -888 - -899. Let d(y) = 2*y. Let j(p) = 11*p - 9. Let u(l) = 5*d(l) - j(l). Determine u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83\/6 - 397\/30. Which is the closest to 1? (a) 0.2 (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-30))\/(6\/(-30))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81881, -655076, -2210925, -5240756, -10235897, -17687676, -28087421?\n\"Answer: -81888*t**3 + t**2 + 18*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/((sqrt(6) - sqrt(30)\/sqrt(5)) + sqrt(6)))\/sqrt(6) + (sqrt(432) - (-3*(1 + sqrt(432)))**2).\nAnswer: -3897 - 203*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) 1 (d) 2\/713 (e) 8.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 85 = -65. What is the second derivative of -617 + 303 + 5*r + 2*r**q + 309 wrt r?\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/14 - (-7 + 0). Let x be 473 - (t - -3) - 3. What is the greatest common factor of x and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 59\/30 in ascending order.\nAnswer: -5, -3, 59\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 2*a + 147. Let c(t) = -14*t**2 + 47*t - 17. Let v(j) = -5*j**2 + 16*j - 6. Give a*v(p) - 6*c(p).\nAnswer: -p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.564 + 35919450.\nAnswer: 35919448.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 3*y - 3*y)*(4*y**3 + 3*y**3 - 2*y**3) + (-y + y - 2*y)*(y**3 + 2*y**3 - 5*y**3) + 2*y**4 + 4*y**4 - y**4.\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 425072495?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 19 + 41)*(-3*a + 7*a - 2*a).\nAnswer: 136*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 7. Let k(s) = 4*s**2 + 7*s + 7. Let m(h) = 530*h - 7 + 5 - 532*h - h**2. Let v(x) = i*m(x) + 6*k(x). Let g(y) = -3*y**2. Give g(v(c)).\nAnswer: -27*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2188.8 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 1363, 2\/15.\nAnswer: -3, 2\/15, 0.4, 1363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 4 - 4)*(-1 + 0 + 3) + 2223*s - 213*s - 409*s + 2407*s + 325*s.\nAnswer: 4331*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -94, -199, -350?\n\"Answer: -23*f**2 + 10*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 971772 is divided by 509.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.335775 minutes in hours?\nAnswer: 0.15559625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -2. Let j be 130\/(-520) - (3\/(-4))\/3. Let m be 6\/(-16) + j + 66\/(-528). What is the third biggest value in 0.2, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -2*h**7\/7 - 14*h**3\/3 - 9. What is the third derivative of m(c) wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 691 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-22) - (15372\/(-33) + 4) is divided by 79.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 667090523, 667090522, 667090521, 667090520?\n\"Answer: -m + 667090524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.27254 days in seconds?\nAnswer: 7021947.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56933*r - 56603*r - 13530 = 0 for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-111)\/(-140) - (-6)\/(-8). Let s(l) be the second derivative of 0*l**2 + 2\/21*l**3 - 1\/42*l**4 + 0 - a*l**5 + 3*l. Suppose s(i) = 0. Calculate i.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 15*r + 335. Let o be a(-22). Let i(u) = u**3 - 6*u**2 + 6*u + 3. Let p be i(5). Suppose o*c + p = 23. Solve -w + c = -4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p + 2 + 77*p - 2 in the form u + c*p and give c.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/16 - 2)*68. Let h = 57 - t. Suppose p = -3*p + h. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5917 * 101233.\nAnswer: 59899.5661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -363*c**2. Let o(v) be the first derivative of -4*v**3\/3 + 1965. Calculate o(f(i)).\nAnswer: -527076*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 5388*b + 10772 = 0. What is b?\nAnswer: 2, 5386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 10*m + 2. Let v be k(-10). Suppose -v*y = -0*y. What is the derivative of y*w - w + 2 - 1 wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 - 9208*a**2 + 18432*a = 0. What is a?\nAnswer: -2304, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*s**5\/7 - 26*s**4\/7 - 26*s**3\/7 - 6*s**2\/7 = 0. What is s?\nAnswer: -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/196, -5, -2.\nAnswer: -5, -2, -3\/196, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5799043*d**2*y - 13*d**2 + 269801250*y with respect to d.\nAnswer: -11598086*d*y - 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 109061494 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 168*m - 169*m = -8, 5*m = -5*p + 65 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050306 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88249640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9799691773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**2 - 13 - 14*c**2 - 11*c**2 + 13.\nAnswer: -38*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) 1\/3 (b) -1\/3 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30392 and 14.\nAnswer: 212744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21457 - 21506. Which is the fourth smallest value? (a) -1\/5 (b) 1 (c) p (d) 0.3 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 287357904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 1 + 3. Let u be (-3)\/5*12*(-5)\/2. Let h be u\/(-8)*(-28)\/21. Calculate the greatest common divisor of g and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (26\/(-24) + -2)\/((-2)\/4) and -4*1*10\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60048284?\nAnswer: 2, 17, 19, 46477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-60)*(-34)\/(-153).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.04335 to 2 decimal places.\nAnswer: -13.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -27393 > -22610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/94 and -137\/2256?\nAnswer: 2256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v + 1. Let c(y) = 11*y. Let h(g) = c(g) + 5*u(g). Let i(z) = 5*z + 4. Suppose 53 = 2*n + 11. Let m be 12\/(-24) - 2*n\/12. Determine m*i(j) + 3*h(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 8) to base 15\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 - -8967\/55. Is 0 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1756*h - 250. Let r(p) = 586*p - 83. Let n(t) = 5*a(t) - 16*r(t). What is the hundreds digit of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 40*r + 4 - 6 + 126*r to q*r + f and give q.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8704)\/480)\/(-68)*27\/24.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-30))\/(7\/504*-12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 689*n - 1368. Determine b(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 141622519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 divided by -7?\nAnswer: 561\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176 + -50. Let g = z - 246. Is g\/(-25)*5*1 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 17*j - 35. Let u be s(-3). Solve -18*q - u*q = -50 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 1}. Give prob of sequence svs.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0 + 0*l**7 + 0*l**6 - 26*l**2 + 0*l - 5\/42*l**8 - 1\/8*l**4 + 0*l**5 + 5\/6*l**3. Find the second derivative of g(z) wrt z.\nAnswer: -800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*h - 67*h + h**3 - 496*h + 0*h**3 in the form w + q*h**2 + r*h + n*h**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -273 + 284. Let z = j + -6. Let u = -1.77 - 0.23. Which is the third smallest value? (a) z (b) -0.06 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 136?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**10\/1260 + l**6\/360 + l**3\/3 - 4*l. Let q(g) be the second derivative of b(g). Find the third derivative of q(c) wrt c.\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 5.03. Let s = -0.2 - 0.4. Let x = s + 0.2. What is the nearest to -0.1 in d, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*i - 42 = 143*i. What is the remainder when 10875 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -42259, -42155, -42051?\n\"Answer: 104*k - 42363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -556 or -555?\nAnswer: -556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 11*l**2 - l - 12. Let p be v(-11). Let w be 1451994\/(-12) - p\/(-2). Round w to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1338664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 68119.5729 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (-10)\/4*(12 - 108\/10). Which is the third smallest value? (a) -5 (b) 0.1 (c) g (d) -2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -96\/5, -4, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/(-100) + 4\/35*728\/39. Factor 28\/9*f - 2\/9*f**2 + y.\nAnswer: -2*(f - 15)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j**(-1\/5)\/j)\/j*j*j)\/j*j**(-8))**(2\/17))**17)**(-49) assuming j is positive.\nAnswer: j**(4508\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-9))\/(8\/60). Let m(d) = d + 3 + 3 - 2. What is m(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/118*74\/148. Which is smaller: -2\/25 or o?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.311 - -29.311. Let o = -29 + h. Put o, -0.03, -17 in ascending order.\nAnswer: -17, -0.03, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/3 - (-9 - -1). Suppose 6*f - 20 = a*f. Calculate the remainder when (16\/f)\/(-1)*-45 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 5:36 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and -16\/453?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 109205683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -91. Calculate the remainder when s is divided by (-9 + 179)\/10 + -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10 + 15 = 0. Let s = 25 - 18. Let v = 4 - s. Sort v, -1, q in ascending order.\nAnswer: v, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.746029km in centimeters?\nAnswer: 874602.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -255, -512, -771, -1032, -1295, -1560?\n\"Answer: -v**2 - 254*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let s be u(4). Suppose 0 = -4*k + s + 29. Solve -2*g - p - 8 = 0, -5*g - 5*p + k - 33 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -19*o + 138. Let u(m) = 2*m - 5. Determine u(l) + x(l).\nAnswer: -17*l + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71456 is divided by 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 - 30*h**2 + 265*h + 167 - 287 - 10*h**2 - 5*h**3 = 0 for h.\nAnswer: -12, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/12 + 19*s**5\/40 + 7*s**4\/8 + 5*s**3\/12 - s**2\/2 + 12*s + 1. Factor z(c).\nAnswer: (c + 1)**2*(c + 2)*(5*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 10*l**2 - 19 + 12.\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1533, 3065, 4593, 6117?\nAnswer: 7637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -90\/11, 4, -1\/8, 0.3 in decreasing order.\nAnswer: 4, 2, 0.3, -1\/8, -90\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -67. Solve 2*c = -3*c - m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 0*q + 5*q = -35, n + 8 = -4*q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98*1128.8.\nAnswer: -110622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -8329.5893 to the nearest 100.\nAnswer: -8300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - 15*l + 2. Let h be g(6). What is the greatest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 3. Let t(g) = -g + 1. Let w = -359 + 351. Let y be 9 + w\/(-6)*-3. What is y*t(v) + 2*h(v)?\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t**2 + 120*t - 271. Suppose 0 = 148*u - 163*u - 90. Let w(x) = -2*x**2 + 40*x - 90. Let z(k) = u*i(k) + 17*w(k). Suppose z(q) = 0. What is q?\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-4) + 1\/(-4). Let z be (2 - -4)\/(2\/11). Suppose q + 1 = -3*r + 24, -q = -4*r + z. Solve -m + u = m + r, x*m = 5*u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gag when three letters picked without replacement from {a: 2, g: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/((i**(-2\/3)\/i)\/i)*i)\/i)**33*(i\/(i*(i\/(i*(i\/((i*((i*i**(-7)*i)\/i)\/i)\/i)*i)\/i))\/i*i))\/i**1 assuming i is positive.\nAnswer: i**194","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -405 less than or equal to 2207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1584) + sqrt(1584) + 1 + sqrt(1584) + (4*sqrt(1584) + -1 - sqrt(1584)))**2*4.\nAnswer: 576*sqrt(11) + 228100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494964355 is divided by 132.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7526806, -7526807, -7526808, -7526809, -7526810?\n\"Answer: -y - 7526805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f. Let m(h) = -h + 1. Let d(l) = -m(l) - 4*v(l). Let j(t) = -4 + 13*t + 2 + 6. Calculate 18*d(k) + 4*j(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 161616 and 73788?\nAnswer: 76444368","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/35)\/(((-81)\/45)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18577)\/195 + (-2)\/5. Let c = 95 + t. What is the third biggest value in c, 1, 4, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(((i\/(i*i**(-1\/2)\/i)*i)\/i)\/i*i))**(-16\/5)*(i\/i**(2\/7))**(-4\/29))\/(((i\/((i\/i**(2\/3))\/i))\/i)**(-10)*(i\/i**(2\/5))**(5\/11)) assuming i is positive.\nAnswer: i**(157273\/33495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 1450680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = -9*l. Put 84, l, 3 in descending order.\nAnswer: 84, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 74*k**3 + 9*k**2 - 37*k + 22. What is the lowest common multiple of b(3) and 4975?\nAnswer: 9950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let g be (-9)\/(-6)*l\/3. What is the second smallest value in 0.1, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -358, -538, -720, -904?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 30702.\nAnswer: 153510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*q - 13 - 6, -q + 3 = -3*p. Is 307\/3 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1580.\nAnswer: -6320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4230 - -4229. Which is the nearest to q? (a) -2\/17 (b) 8 (c) 2\/25 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 + 206. Solve -c = 2, -4*f + 10 = 2*c - q*c for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 h when four letters picked without replacement from {h: 4, j: 1, w: 4, s: 1, o: 4, g: 5}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 15*n**2 - 11*n + 5. Let i(v) = 3*v**2 - 2*v + 1. Determine 11*i(w) - 2*z(w).\nAnswer: -2*w**3 + 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2333231300 (base 4) to base 13\nAnswer: 21656c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 54*j - 286. Let h be g(5). Solve 5*d - 54 = -h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7348 divided by 28.\nAnswer: -1837\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98 + 7 + 808 + -834.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 3126808.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413494391.\nAnswer: 23, 47, 382511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - p + 1, 6*r - 8*r = 3*p - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.439 in -120\/31, -0.03, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 397*w - 122. Suppose 12*s = -12*s + 48. Does 6 divide f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Suppose 5*y = -2*m - 0*y - 11, -5*m = -h*y - 19. Suppose a + 165 = 6*a. Solve -5*f - a = -2*p, -3*f + m = 2*p + 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-134)\/335*(-5)\/(-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2586*g**3 + 2582*g**3 - 5179*g**3.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-1)\/(-40)*-2). Let n be ((-24)\/p)\/(2\/10). Let 0 + 4\/5*y + 18\/5*y**2 + 14\/5*y**n = 0. What is y?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202*z**2 + 630*z**3 - 258*z**3 - z**4 + 534*z**2 - 322*z**3 - 3*z**4 wrt z?\nAnswer: -96*z + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -159*m**2 + 17\/24*m**4 - m**3 + 0*m**5 + 0*m**6 + 0 + 29\/70*m**7 + 0*m. What is the second derivative of u(q) wrt q?\nAnswer: 1044*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 306?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/9, 3, -2\/19 in descending order.\nAnswer: 3, 2\/9, -2\/19, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (72\/48)\/((-6)\/40). Let k = 17 + -17. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g - 7. Let n be d(5). Let s(l) = -l**3 - 5 - 2*l**2 + 2 + 2*l + 0*l**n - 2. Let q(v) = -v**3 - 3*v**2 + 3*v - 6. Calculate 2*q(w) - 3*s(w).\nAnswer: w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**2 - 30*d - 13. Let i(f) = 2*f**2 + 15*f + 5. Calculate -9*i(w) - 4*r(w).\nAnswer: -2*w**2 - 15*w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1766008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-20)*-52*18\/18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 976 and 12069338?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256219633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4 = 16. Let d(i) = i**3 + 60*i**2 + 114*i - 107. Let o be d(-58). Do o and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = 5*i - 5*j + 385, -4*j = -16. Let v = i + 125. Solve 0 - v = 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 74.469172 to two dps.\nAnswer: 74.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19478686 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) - (sqrt(98) + -1) - sqrt(2))*1 - (sqrt(16)\/(sqrt(4)*3))\/sqrt(2))**2 + -5.\nAnswer: -8*sqrt(2)\/3 - 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 802 + -573. Let f = -111 + t. Let y = -63 + f. Does 14 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + (sqrt(252)*-2)**2 + (sqrt(7) + -3)*-6) + -4.\nAnswer: -5*sqrt(7) + 1022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = -0*q. Let d be 16\/(-6) + 1\/(-3). Let c be (q + -1)*d\/3. Is -2 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/33938 and -81\/22.\nAnswer: 373318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-378)\/(-12))\/(-9)*1\/(-1)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 4)\/(-1 - -3). Suppose -a + 0*a + 7 = m. Suppose -y = -2*l - 11, y - 3*l - a = l. Calculate the remainder when y is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + t = 0. Let z be (t + -2)\/(-1) - 3\/(-3). Solve z*x + 4 = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168\/13 + 1819\/182. Let j = -5801\/4 - -1430. What is the common denominator of w and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12 + (5 + -1)\/2. Let r(i) = 55*i**3 + 2*i - 1. Let v = -4 + 5. Let x be r(v). What is the greatest common factor of x and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - 2 + 2258*l**3 + 9 - 220*l + 80*l wrt l.\nAnswer: 13548*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20630*j**2 - 8187458 + 8187458 in the form i*j + a + o*j**2 and give o.\nAnswer: 20630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 s when three letters picked without replacement from {g: 1, p: 2, o: 2, q: 1, s: 1, r: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3723.10217 + 3723. What is d rounded to 3 decimal places?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3515444534 to the power of 1\/2, to the nearest integer?\nAnswer: 59291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10332213 - -2?\nAnswer: 10332221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 + 183*z + 255. What is j(38)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (196*q + 32*q**2 - 196*q + (-q + 0*q + 4*q)*(-q - 4*q + 4*q) + (2 - 2 - 2)*(3*q + 2*q**2 - 3*q))*(-4*q**2 + 9*q**2 - 6*q**2).\nAnswer: -25*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 7*s - 12. Let g be k(-9). Suppose 7*i - 6*i + 31 = -4*c, -4*i - 86 = -3*c. Let t = i - -29. What is the highest common factor of g and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16818.\nAnswer: 2, 3, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 29 = s + r, -4*r - 56 = -4*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + g + 2397 - 16 = 0, g - 4774 = -2*c. Calculate the highest common divisor of 30 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 330*h + 299. Let b be p(0). What is the highest common factor of b and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42830 is divided by 2346.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*x + 10929 - 10839 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 165\/23 - 4075\/552. Let f be ((124\/24)\/(-1))\/(5\/(-30)). Suppose -27 + f = -4*w. Do w and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(-3 - x + 3)*(-3 + 3 + 2*x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s + t, -3*t + 0 = -s - 12. Solve 0 = -5*a - 5*j + 3 + 2, -s*a + 18 = -2*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -950, 1\/5, 1?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4272420479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 242, 297, 388, 515, 678?\n\"Answer: 18*y**2 + y + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 176 = -9*h + 5*h, -3*c = 3*h - 111. Calculate the remainder when 77 is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3110273, -3110362, -3110451, -3110540, -3110629, -3110718?\nAnswer: -3110807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*o = 1463 - 5675. Let z be (-2)\/7 + (-2008)\/28. Let a = z - o. Solve 3*h - 3*s = 24, 2*h + a*s - 5*s = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (357\/12)\/(-52*(-140)\/37440)\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 - 1391. Let r = -857 - w. What are the prime factors of r?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 23 = 10*t - 7*t, g = -t - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r + 1. Let a(d) = -d - 1. Let b(i) = 5*a(i) - u(i). Let f be b(2). Solve 18 - f = -4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283958?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4 - 2) + -1)\/(20\/100). Let x be z + (1\/2)\/1*-4. Solve x*y - 20 = 7*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(1778\/84 + -21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + 44\/7. Let j(y) = y + 71. Let i be j(0). Suppose 0 = 4*f - 10 - t, i = 5*l - f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**9\/15120 + d**8\/2240 + d**7\/840 + d**6\/720 + 5*d**4\/12 + 11*d**2. Let z(g) be the second derivative of t(g). Factor z(m).\nAnswer: m*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 23*i - 1. Let q be s(6). Suppose -4*p - 5*o + 6*o + 505 = 0, 3*o = q*p - 640. Calculate the remainder when p is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.105 and 0.3.\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 3*x + 8. Let r be n(6). Suppose u - 4*u = -3*g - 66, -3*g + 5*u = r. Calculate the common denominator of 2\/(-14)*644\/g and -107\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -58 (b) -3\/7 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 4*v**6\/3 - 13*v**3\/3 + 19. Find the third derivative of x(k) wrt k.\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**6\/120 + q**5\/60 + q**4\/24 + 2*q**3\/3 - q**2. Let a be v(0). Sort a, -5, -4 in descending order.\nAnswer: a, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-10)*1790\/(-537)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 47, 64, 81, 98, 115?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 2*j - 1. Give w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 3, -72.\nAnswer: -72, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6070 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3232 - -213223122?\nAnswer: 213213230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4233 = 6569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 499440 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12475 times -28?\nAnswer: -349300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6267 minus 0.041?\nAnswer: -9.6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223822 is divided by 74601?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(65)\/sqrt(245).\nAnswer: -1 + sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -33*b + 567. Calculate the remainder when 93 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8, 70, 196, 370, 592, 862?\n\"Answer: 24*f**2 + 6*f - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 143630 = 2*d - 409539, -177270 = -2*x - 4*d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5887 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*u - 18 = 0. Let k be (-45)\/25*10\/u. Let l(s) = s - 2. Calculate l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 3)*(-374 - 362 - 15*i + 702) as n*i + c and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -88. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3.3 (c) -3 (d) 955\/2 (e) 4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 253 = -49*s + 12. Solve -s = 2*u + 5*v + 5, -4*v - 8 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 25 - 32*n**3 - 73*n - 1 + 9.\nAnswer: -32*n**3 - 73*n - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (231\/(-18) + -2)\/((-96)\/(-16)) and -1\/116?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.95 - 4.95. Which is the fourth biggest value? (a) 4 (b) -11 (c) 0.4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 3:26 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 - ((-50)\/(-45) + 896\/(-126))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + r - 13 = -4*r, 0 = 3*m + 3*r - 9. Solve 0 = m*g - 7*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28261, 28202, 28095, 27934, 27713, 27426, 27067?\nAnswer: 26630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*j - j. Let z = 6 + j. Let r(y) = -3*y - 2. Let n be r(z). What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 45.36?\nAnswer: 45.36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48 - -39)*2\/(-6)*5. Suppose 0 = -9*f + q*f - 1956. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/90 + (-112166)\/(-510). Calculate the greatest common divisor of 132 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a decade in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4 + 5*y**2\/2 - 7*y + 133. Let d be (-2 - (-416)\/(-72)) + (-4)\/18. Let z(k) = 6*k**3 - 8*k + 11. Give d*t(l) - 5*z(l).\nAnswer: 2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 - 16. Suppose 0 = 5*s + d, 2*p - s - 3*s = 12. Is 4 a factor of (2 - 36\/p)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 915911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3150723, -6301492, -9452261?\n\"Answer: -3150769*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5933 divided by -1\nAnswer: 5933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 1, q: 1, x: 4, d: 1}. What is prob of sequence wx?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18003 - -199516.449.\nAnswer: 199516.26897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + 3 - sqrt(7) - (sqrt(1260) + sqrt(35))\/sqrt(5).\nAnswer: -7*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-34))\/((-2050)\/(-820))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -6. Suppose x = -b*x. Sort x, -2, -4 in decreasing order.\nAnswer: x, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**3 - 3*k**2 + 3*k - 1. Let h(a) = -a**3 - 2*a**2 + 2*a - 1. Let j be h(1). Let p(t) = 3*t**3 - 2*t**2 + 2*t - 1. What is j*o(b) + 3*p(b)?\nAnswer: b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 10 + 0*r - 2*r)*(-2*r**3 - r**3 + 4*r**3).\nAnswer: -2*r**4 + 10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -311\/5 + 63. Which is the biggest value? (a) 8.9 (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**2*k + 674*b**2 - 489*k**3 wrt k?\nAnswer: -b**2 - 1467*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 44 - 16 = -3*i + 3*c, 5*c - 35 = 2*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaayaayaaaaaaaayaa. Give prob of picking 2 y.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3730, -3725, -3718, -3709, -3698, -3685?\n\"Answer: t**2 + 2*t - 3733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/57 - 7\/19. Which is the smallest value? (a) 0 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 12*z + 131964 = 10*z. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -19*a**2 + 42*a - 40. Find the first derivative of c(i) wrt i.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**4\/(t*t**(-10)*t))**(-11\/6))**(1\/17))**(6\/13) assuming t is positive.\nAnswer: t**(-132\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 12:54 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/2484 and -49\/644316?\nAnswer: 133373412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7567 rounded to the nearest 100?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437376?\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 0.3, -0.0439, 13 in increasing order.\nAnswer: -0.07, -0.0439, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/4)*z*z)**(-12)\/((z*z*z**(-9)*z)\/(z*z\/(z**6*z)))*((z**5)**37)**22 assuming z is positive.\nAnswer: z**4032","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r = -73 + 78 - 126 - 23 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 272757269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.1 + 6.6. Which is the smallest value? (a) m (b) -0.48 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5571 (base 11) to base 9\nAnswer: 11053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004401106 to seven decimal places.\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-3)*66\/(-44). Let f(s) = 1131*s - 2112. Let z(m) = 71*m - 132. Let n(x) = r*f(x) - 66*z(x). What is the first derivative of n(d) wrt d?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -2.471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 623079 to the power of 1\/2, to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12\/630*-14*(-3)\/22\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/14014 and -113\/266.\nAnswer: 266266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 416.8 + -417. Let o = -13\/57 - 2\/19. Sort w, 2\/3, o.\nAnswer: o, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/7 - 8*x**4\/7 - 40*x**3\/7 + 28*x**2 - 250*x\/7 + 100\/7 = 0.\nAnswer: -5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 1:14 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of z**5\/10 + 517*z**2. Let b(k) = -2*k**2 + 14. What is b(d(f))?\nAnswer: -72*f**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21947)\/7746*9\/(-17))\/((-1)\/62)?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150700985?\nAnswer: 5, 1123, 26839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 3, q: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**5 - 8*k**5 + 257*k**3 + k**5 - 48*k**2 + 2*k - 29*k**2 wrt k?\nAnswer: -120*k**2 + 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/2 (b) -0.1 (c) 78\/7 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**(-8)*a**(-17) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 40?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -78396600*h. Let n(f) = -5*f. Determine t(n(g)).\nAnswer: 391983000*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from dbcdcva.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(416) - 1*sqrt(1274))\/(sqrt(6)\/(-2*sqrt(300))).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 3*h**3 + 0*h**3)*(3*h**2 - h**2 - 3*h**2) + 3*h**5 + h**5 - 2*h**5.\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-12)\/8 - 0). Is (75 - -6) + j\/(-1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.053 or -7?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 450.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70.87 - -11.77. Let j = 5.5 + v. What is j rounded to the nearest integer?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*v - 8 - 14 = 0, 10 = 5*g + v. Suppose -3*u - 9 + g = 0, 4*u + 228 = h. Does 41 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, 508, 1739, 3462?\nAnswer: 5677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/19)*x**(-4\/9))\/((x**(-1)*x)\/x)**9*((x\/x**0)**(-1\/5))**18 assuming x is positive.\nAnswer: x**(5002\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -24. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 95 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -1507*s**3 + 18*s**2 + 9*s - 9. Let j(t) = -377*t**3 + 4*t**2 + 2*t - 2. Determine 18*j(o) - 4*y(o).\nAnswer: -758*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.731562 less than -33?\nAnswer: -30.268438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1872) - (sqrt(1872) + 2)**2 - sqrt(1872)).\nAnswer: -1872 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5342633.6 and -5.\nAnswer: 26713168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 10840*t + 227761. What is x(-21)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25750 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (1*sqrt(171) + sqrt(171))*-4 - ((-2*sqrt(171) + sqrt(171))*6 + sqrt(171)))\/(1*sqrt(900) - (3*sqrt(36) + sqrt(9) + sqrt(9) + sqrt(9)))*4.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*v + 6, 4*v + 5*h = 2*v - 18. Let b be 7\/2 + v\/8 + 1. Find the third derivative of -20*l**4 + 0*l**4 + 11*l**4 + 16*l**2 + 3*l**b wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1123 + 2265 = 2*m - j, -4*m - 3*j = -6776. Suppose 0 = -7*n + 693 + m. Suppose -3*i - 3*v + 567 = 2*i, -3*i + n = v. What are the prime factors of i?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 255.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/((-3)\/6). Suppose -4*c + 2*r = 0, 2*c - 23 + b = -4*r. Let w be (0 - -8) + -1 + 0. Sort -1, w, c in decreasing order.\nAnswer: w, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34455 is divided by 2717.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6)*h)\/h**(1\/12)*((h*h*h**(2\/19))\/h)\/h*h**(-1\/2) assuming h is positive.\nAnswer: h**(1715\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1828 = -6*y + 2*y, 4*y = -2*n + 904. What are the prime factors of n?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 18 = 8. Does 22 divide 41*(-42)\/(z + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 7*g + 4. Let n = 6 - 13. Let o be u(n). Find the first derivative of -1 + c**o + 0 - 1 - 1 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-4))\/((-2)\/8). Find the third derivative of -m**2 + 3*m**2 - 4*m**j + 0*m**2 + 2*m**2 wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(18722\/11 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 107 + -106.826. What is a rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1088030 divided by 3\nAnswer: 1088030\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.911 and 0.4.\nAnswer: 11.5644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 44 = 364. Let s = 12896 - 12840. Calculate the remainder when o is divided by s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfh when three letters picked without replacement from {h: 4, f: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 - 6*v - 7. Let f be y(-1). Solve 0*c = -f*c + 5*k, -2*c + 9 = k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4592 is divided by 801.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 8:13 AM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15889302 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4558034.\nAnswer: 2, 13, 175309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 3268464015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22)\/sqrt(2) - sqrt(11)) + -4)**2 + sqrt(539) + (sqrt(539) + 1)**2 - (5*(sqrt(396) - (sqrt(396) - (1 + sqrt(396) - sqrt(396)))))**2)*4.\nAnswer: 84*sqrt(11) + 2124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5\/7 + 9*u**4\/7 + 2*u**3 - 2*u**2\/7 - 15*u\/7 - 1.\nAnswer: (u - 1)*(u + 1)**3*(u + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.15 + 0.01. Let p = u + 0.24. Let x = 10\/3 + -3. Which is the nearest to p? (a) 3 (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 351762?\nAnswer: 3517620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 + -2?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*x - 37*x - 40*x - 37*x + 155*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 k, and 1 c when three letters picked without replacement from ycywiyccwyywkiyi.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3710\/13 + -7063827\/24752. Let v = t + 67591\/1904. What is the common denominator of v and 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 11.667 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.36 bigger than -22780.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1496)\/1683)\/((-88)\/6).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqxnx. What is prob of picking 1 n and 1 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7549?\nAnswer: 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d + 10. Let x be p(11). Find the second derivative of -x*s**2 + 1 + 87*s - 157*s + 36*s wrt s.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -476*b + 7358. Calculate c(15).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c + 3. Let s(i) = -5*i - 3. Let r(n) = -3*n - 2. Let y(f) = 3*r(f) - 2*s(f). Let p(m) = u(m) - 3*y(m). Give p(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 1. Let k(s) be the third derivative of 0 + 1\/3*s**3 - 1\/24*s**4 + 0*s - 36*s**2. Give 2*k(h) - 3*q(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 37 + 2 = 0. Suppose -j + 4 = -2*j. Sort l, -1, j.\nAnswer: j, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68, 99, 188, 365, 660, 1103?\n\"Answer: 5*t**3 - t**2 - t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04587 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 834*(162\/540)\/(5\/((-100)\/36))?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 2989, 9838, 23109, 44944?\nAnswer: 77485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 135246 + 44613?\nAnswer: 213162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-14424)\/(-180) + (6\/(-45))\/1 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6746986.\nAnswer: 2, 1301, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 3) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2\/9, 1\/2, 130 in increasing order.\nAnswer: -25, -2\/9, 1\/2, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - t - 4*t)*(-11 - 11 - 4) - 4*t + t + 0*t - 4*t + t + 2*t.\nAnswer: 74*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2472 or -0.464?\nAnswer: -0.464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 0*l**2 + 3 + 0*l**3 + l + 1\/2*l**4. What is the derivative of y(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 135302 - -1?\nAnswer: 135303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 12. Let l be c(-6). Sort l, 3, 5 in descending order.\nAnswer: 5, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1956106?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.16 + 4.7. Let p = m - -1.46. Let q = -39 + 38.6. Put 0.3, q, p in descending order.\nAnswer: p, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16612, 33250, 49888, 66526?\n\"Answer: 16638*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4627?\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-255) - 1831066\/(-34) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/738 and 13\/36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3199 - -2901.9. Let m = -204 - g. What is m rounded to 0 decimal places?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*f. Suppose f = 4*n - 6*n. What is the closest to -8 in -1\/4, n, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 408, 660, 1022, 1506, 2124, 2888, 3810?\nAnswer: 4902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*o + 6*o = -0*o - 23, 183 = -4*o + 163 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**2\/3 - 3556*x\/3 = 0.\nAnswer: 0, 1778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-91)\/(-3) - -1)*(-43485)\/(-130) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*x + 38*x - 794 = 72*x - 1910 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9981.4 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 815123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24968 + -24970. Let t = -5\/102 + -1877\/204. Which is smaller: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143 by -143.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 106 = 16. Let s = 193 + i. What are the prime factors of s?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3*5\/(-5). Sort h, 0, -1\/10, -2 in decreasing order.\nAnswer: 0, -1\/10, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**4 - 2*d**3 - d**2 - d - 1. Let h(g) = 2*g**4 - 19*g**3 + 13*g**2 + 79*g + 67. Let x(l) = h(l) - 5*k(l). Find n, given that x(n) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/5)\/((-2)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2351388 divided by -391898.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3 + sqrt(1539)*-2 + sqrt(1539) + sqrt(1539) + (1*(sqrt(1539) + -1) - sqrt(1539)) - (3*(-1 + sqrt(1539)) + 2))*-2)**2.\nAnswer: -2592*sqrt(19) + 221760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-1\/5)\/g))**(3\/20)*(g**(-1\/2)*g)\/g**(-3) assuming g is positive.\nAnswer: g**(199\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 21\/35 - (-36)\/(-90). What is the smallest value in 3.2, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i = o + 49, 2*o = i - 17. Let v(p) = 16*p**2 + 61*p**2 - 5*p**2. Let a be v(-1). Calculate the greatest common factor of i and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.119534*-1434.\nAnswer: 171.411756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8 - ((-4 + 2 - -5) + 2). Suppose -1 = -i + 1. Solve -k - x = -i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/12 - (-306 + 0 - 1). Let r = c + -254. Calculate the greatest common factor of 40 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 1:18 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - (2 + sqrt(72) + -1 - sqrt(72)))**2 + (sqrt(72) + 0 + sqrt(72) + 1)**2)*2 + 0)*-2.\nAnswer: -1448 - 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02+-78648322\nAnswer: -78648321.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 7*y - 6. Let f be a(5). Suppose 9*u = 11*u - 2. Sort f, 3, u.\nAnswer: u, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 4)*(-1 + 1 - n**3) - 3*n**3 - 3*n**3 + 5*n**3)*((0 + n + 0)*(2 - 2 - 1) + 499*n - 178*n - 124*n).\nAnswer: -392*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/3 and 8\/(-2) - 858\/(-144)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40160.5 rounded to the nearest one hundred?\nAnswer: 40200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 + 23*n**2 - 12*n + 286. What is m(12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 565 + -562.53. Let z = m + -2.6. Let c = z - -0.06. What is c rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 206*p + 204*p + 11, -2*p + 7 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -94. Let u = m + -37. Suppose -5*x**5 - 5*x + 2 - 10*x**2 + 4*x**4 + 4*x**4 + 10*x**u - 3*x**4 + 3 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283.\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6069852*u**3 - 1503391*u wrt u.\nAnswer: -36419112*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*u + 15*u + 178*u)*(-2*u - 4*u + 5*u) to a*u + q*u**2 + i and give q.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -80498 from -1.\nAnswer: 80497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5 - 2. Suppose 2*x - 7 - m = 0. Let w(u) = -u + 10. Is 3 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, -3, -21, -55, -111?\n\"Answer: -k**3 + k**2 - 4*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffyyyfffyy. Give prob of picking 2 y.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -12\/5, -4 in decreasing order.\nAnswer: -1\/5, -12\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teedtttsettt. Give prob of sequence tttd.\nAnswer: 7\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 307743*j**6 + 3*j**2 + j - 17883.\nAnswer: 36929160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12908 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**3 - 2*k**2 - 2*k - 1. Let u be s(-1). Suppose u + 18 = 5*f. Suppose -4*c - 13 = -f*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1 - -1)*3\/9\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:57 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7597475 < -7597479?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 - 7*i - 9. Let g be c(-5). Sort -3, 7, g in decreasing order.\nAnswer: 7, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4863 is divided by 440?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkff when four letters picked without replacement from ffkkakkkf?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-168)\/9))\/(15\/50)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6903 - -6906. What is the third biggest value in 126, v, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 84*d + 81*d = 0, z - 2921 + 2946 = -7*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2296)\/4879*(-34)\/4. Let t = 2 - 2. Which is the second smallest value? (a) v (b) t (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-6))\/(6\/72*8)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-390)\/(-520))\/(9\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + (-9 - 0))\/1. Let p = -5 - h. Suppose y - p*y = -24. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11325128, -11325128, -11325138, -11325164, -11325212?\n\"Answer: -t**3 + t**2 + 4*t - 11325132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 265, -5 in decreasing order.\nAnswer: 265, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8*(-24)\/(-48)*-4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529570085.\nAnswer: 3, 5, 103, 990013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + n - n)*(0*n**2 + 0*n**2 - 3*n**2)*(-3 + 4 + 0 + 2 - 4 + 3 + 3 - 1 + 0 + 2 - 1 + 1 + (4 - 6 + 4)*(-3 + 0 + 2) + 38 + 2 + 14)*(2*n + 0*n - 4*n).\nAnswer: 1044*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrr when three letters picked without replacement from rnncrcnncccnrrnrfn.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(20)\/(sqrt(810)*3) + sqrt(2) + 2 + -1 + sqrt(50)*-6.\nAnswer: -782*sqrt(2)\/27 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 + 94*y**3 - 68*y**3 - 19 + 12*y + 19 to n + o*y**2 + w*y + v*y**3 + h*y**4 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-42) - (-51)\/(-42).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 80\/14*7\/2. Let v = l + -16. Suppose -v*z = -891 - 97. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.387*2059.02\nAnswer: 796.84074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144462*i**3 - 33454*i**3 - 35 + 35.\nAnswer: 111008*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Express p + 2 - 7 - 3 + 10 in the form j + g*p and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11\/833 - 6155\/2499. Let u = j + 29\/7. Which is the nearest to -1? (a) -1\/4 (b) 0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 7 + -4 + 4 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 8*l - 4. Calculate the remainder when 13 is divided by n(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-80) + (-21)\/(-5). What is the second derivative of -s*l**3 + 7*l**3 - 59*l + 53*l wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -419 - 105. List the prime factors of d.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:40 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.3 + -8.3. Let k be (-5)\/12 - 7\/21. What is the closest to w in -1\/4, -0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (227*x**2 - 38*x**3 - 227*x**2)*(-x - 3*x + 2*x)*(-x + 2*x + 4*x).\nAnswer: 380*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 21, 15, -11, -63, -147, -269?\n\"Answer: -g**3 - g**2 + 18*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/2 - 29*a**2 - 113*a\/2 - 28.\nAnswer: -(a + 1)**2*(a + 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10220012201112 (base 3) to base 10\nAnswer: 2070887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262647502.\nAnswer: 2, 13, 10101827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-16) + 2 - (-69309)\/2423248?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -2\/13 (c) -7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/191?\nAnswer: -9\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45468, -90941, -136418, -181899, -227384?\n\"Answer: -2*s**2 - 45467*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:48 PM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/12*51\/85. Let l = -46 + 46.1. Which is the nearest to l? (a) -1 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -4, 187, 7 in descending order.\nAnswer: 187, 7, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -161450 divided by 2\nAnswer: -80725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 25 in ascending order.\nAnswer: -11, -3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -205*q**3 - 7*q**2 - 8*q - 5*q**2 + 201*q**3.\nAnswer: -4*q*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4080?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(1\/3))\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + -2 + 0 + sqrt(500) + sqrt(500) + sqrt(500) - (sqrt(500) + -3 + 3 + sqrt(500) + (-1*sqrt(500) - sqrt(500)) + 5))**2.\nAnswer: 60*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1)*4\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1442*u - 1428. Give h(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -37. Suppose 13*j = i*j. Let z be ((j - -3)\/3)\/((-2)\/4). Which is greater: z or -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37178 and 16.7.\nAnswer: 620872.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.29349l in millilitres?\nAnswer: 33293.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5172817 and 928.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6271613 to the power of 1\/2, to the nearest integer?\nAnswer: 2504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/((-47)\/940)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1078.30009054 - -1078.3. Round a to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 - -235. Let l be 1\/3 + s\/39. Suppose 5*z + 1 + 24 = 0, 0 = -l*w + z + 170. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9925 + 0.0075. What is the fourth biggest value in 0, 7, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 84 - 18. Let n = -35 - v. Let a = -87 + 259\/3. Do n and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 23 (c) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 0*f + 0 - 24*f**2 + 0*f**4 + 59\/20*f**5 - 29\/2*f**3. Find the first derivative of z(l) wrt l.\nAnswer: 354*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, c: 3}. Give prob of picking 3 r.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 90. Differentiate 46 - v + 2*o**4 + 28 with respect to o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21836965957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(32\/(-864)*9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117896309 to the nearest integer?\nAnswer: 10858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of 7*d**5\/60 + 5*d**2. Let l = 7 + -2. Let p(y) = 8*y**2. Calculate l*n(i) - 4*p(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5249.026 decades to centuries.\nAnswer: 524.9026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20.63 + -24.63. Which is the closest to -1\/2? (a) y (b) 4 (c) -0.4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 40 = -6*f + f, 0 = 3*w - 3*f - 3. Let -w*l**3 + 4 + 6*l + 3*l**3 - 3 + 3 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -12*j**2 - 1755*j + 13441. Give p(-154).\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.2569 and 0.4?\nAnswer: 7.30276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 + 89*g + 5 - 5*g**2 - 89*g. Let y(p) = 3. What is 6*l(c) - 10*y(c)?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*5\/(-25))\/((-2)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q + 2*q - 9*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/545, -1\/3, -2\/147?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ez when two letters picked without replacement from {z: 1, i: 16, e: 3}.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 118105.5kg in tonnes?\nAnswer: 118.1055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -37317.\nAnswer: -37318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 + 187. Which is the closest to -0.2? (a) -2\/9 (b) h (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**3\/3 - 2*k**2 + 35*k + 329. Calculate r(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42432 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4493 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 177537849899767 and -0.5?\nAnswer: 177537849899767.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11247 and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 119 - 61. Suppose 20 = 5*u, -3*q - 4*u - 12 + b = 0. Suppose q = 5*l - 5. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -238.3 to 0 decimal places.\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1\/14 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1683 + 1680. What is the closest to 2 in s, 0.1, 5, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 5*y**6\/6 - 2*y**5 - 35*y**4\/4 - 20*y**3\/3 + 6. Factor d(v).\nAnswer: 5*v**2*(v - 4)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 - -35. Let d = r - -110. Suppose -j - 2*j = -d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 11 = 26. Put t, 5, -4 in descending order.\nAnswer: 5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**7\/378 + 4*i**6\/135 + i**5\/9 + 5*i**4\/54 - 7*i**3\/18 - i**2 - 53*i. Let l(z) = 0. What is z?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1)\/(9\/45). Let b(c) = 0 - 6*c - 2*c - 3 - 2 + 2*c**2. Let m(o) = 2*o**2 - 9*o - 6. Determine x*m(f) + 6*b(f).\nAnswer: 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 5. Suppose 2*j - 36 = 2*w, -2*w - 2*j = 39 + 5. Let g = -25 - w. Calculate p(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 87.17909 millilitres?\nAnswer: 0.08717909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t - t + t - 3*t + 0*t + (-4*t + 2*t + t)*(388 - 167 + 20).\nAnswer: -244*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4374 and 5292.\nAnswer: 428652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4051 - -4091. Solve 0 = 15*y + s - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 1. Let x(i) = i**2 - 6*i + 7. Let d be x(5). Suppose 3*j + 2 + q = -4*n, 10 = 4*j + d*n. Solve u - 2 = 0, j = 5*l - 2*u + 19 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4884 and 93610?\nAnswer: 561660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 455080823?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.30415 + 0.66415. Which is smaller: -378 or o?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*t + 53 = 13, -14 = 5*l - 3*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 714?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d**3 + 2*d**2 - 1. Suppose -3*t + 14 = -z - 2, -5*t = -25. Determine j(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 919141232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 + 42 = -3*m. Suppose -4*n + m = -3. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9)*7\/(-14)*(-2 + 5). Let j = -0.3 - 0.2. Let y = -3 - -2.9. What is the closest to y in c, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -146851 = -146853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by -6266\nAnswer: -95\/6266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -9. Suppose 17*p + 2*m - 147 = 12*p, 0 = -2*p - 3*m + 50. Suppose 0 = -p*h - 20 - 42. Sort 2\/3, o, h in decreasing order.\nAnswer: 2\/3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 590\/59 + (-4)\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -686*j + 191*j - 187*j in the form z*j + n and give z.\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, n: 8, x: 4}. Give prob of sequence eenn.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 79 = 5*c - 56, c + 5 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.05 + 2.95. Let k be 2 + (-38)\/16 - 0. Let z = 1.94 + 0.06. What is the third biggest value in r, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 96, 363, 898, 1791, 3132, 5011, 7518?\nAnswer: 10743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/6)\/(36\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 12*s**2 + 1\/20*s**5 - 5\/6*s**3 + 0*s + 5 + 1\/6*s**4. Let q(g) = -2*g**2 - 4*g + 4. Determine -3*m(p) - 4*q(p).\nAnswer: -p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -5*a**4\/12 - 4*a - 18. Let d(y) = -21*y**2. Calculate d(s(c)).\nAnswer: -525*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**3. Let j be q(1). Let l = 8 - j. Let k(m) = 84*m**3 - m + 1. Does 28 divide k(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00862 to 4 dps.\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 202101212?\nAnswer: 202101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -2*c**3\/3 + c**2 + 3*c - 133. Let r(v) = v**2 - 1. Calculate g(n) + 4*r(n).\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 5364 = 11*k - 7481. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (32\/48)\/((10\/(-12))\/5). Let f be w + (0 - (-2 - 1)) - -3. Solve -2 = f*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)*x**2)\/(x**(3\/4)\/x**(-12)) assuming x is positive.\nAnswer: x**(-113\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90184465 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 1 - 9. Let i = -3 + n. Solve -w - 4 = 0, i*l + 5*w - 4 = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 805610*m**5 + 685416*m wrt m.\nAnswer: 16112200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 730123678?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110095715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (7 - (3 + -1)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6542 or -2178620\/333?\nAnswer: -2178620\/333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11494, 45532, 102260, 181678, 283786, 408584, 556072?\n\"Answer: 11345*k**2 + 3*k + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 + 54. Let m(z) = -z**2 + 11*z + 3. Let v be m(u). Solve 4*l + 5 = v*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 19227\/197669?\nAnswer: 19227\/197669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 9 - 2)*(-3 + 1 - 1)*(-d + 0*d - d) to q + g*d and give g.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 3:58 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(2\/(-11)*11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -3*f + 4*w, 0 = 2*w + w + 12. Let h = f + -35. Solve h = -2*v - 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*g + 138 = 0, -n = -5*g - 3 - 57. What is the common denominator of 85\/6 and ((-302)\/(-90))\/((-30)\/n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1bcf63 - 5?\nAnswer: 1bcf5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 742\/7*(-3 + (-14)\/(-4)). Solve 54*t = n*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -j + 12, -4*j = -8*j - z + 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1285838 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*3\/36*(-28640)\/358?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/9))\/(o**(-2\/29)\/o))\/(o**(8\/3)\/o*o*o**5) assuming o is positive.\nAnswer: o**(-1403\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13778 + 179*d + 400*d - 13777.\nAnswer: 579*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 68*b**3 + 1152*b**2 - 6640*b + 9200.\nAnswer: (b - 46)*(b - 10)**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -2*t. Suppose 0 = -5*s + 3*s + r - 3, -t*r = -s - 3. Let l be (-3 - 15\/(-10)) + 1. What is the closest to s in l, 1, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 4\/3*231\/154. Solve w - 5*w = u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186403 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: Solve -1364*b + 1378*b - 378 = 0 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/2 - r**4 - 17*r**3\/2 - r**2 + 26*r + 20 = 0. What is r?\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(80)*2 + -2 + (sqrt(80) - 3*sqrt(80)))*2*2.\nAnswer: -8 + 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*j*o**6 - 422848*j*o**5 + 2105*j*o**2 - 2*j + 13*o**2 - 4*o wrt o.\nAnswer: -7320*j*o**3 - 25370880*j*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a millennium in years?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -129, -134?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -316 - -316.159. Let t = y + 3.841. What is the smallest value in -2, t, 0.4, 17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 80*v - 84*v - 4*v**2 + 39 + v + v**3. What is w(6)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -188371*j**3 - 82310*j**2 wrt j?\nAnswer: -1130226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102)*-1)\/(-2*sqrt(216))*-5)**2.\nAnswer: 425\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 118*v + 354. What is k(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 1:48 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/45 less than or equal to -2.77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -75768, -76102, -76432, -76758, -77080, -77398, -77712?\n\"Answer: 2*b**2 - 340*b - 75430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -24. What is the second smallest value in -0.4, l, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/64 + 82\/(-12). Sort 3, -1, w.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -233222 + 233222 + 4*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 28807a?\nAnswer: -28807b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvhhiv. Give prob of picking 1 v and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -3 + -15 + 23. Let f(j) = -28*j**3 - 7*j**2 + 7*j - 3. Let r(n) = 9*n**3 + 2*n**2 - 2*n + 1. Determine y*r(v) + 2*f(v).\nAnswer: 7*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpplldlptvdtpd. Give prob of sequence xtl.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 646775132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Let s be l*(3\/(-6) + -1). Suppose -135 = -5*w + 5*o, -s*o = -2*o + 5. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 - 78*a**4 + 916*a**3 - 2524*a**2 - 8118*a - 4598 = 0 for a.\nAnswer: -1, 11, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 5*v**2 - 6*v - 8. Let r be g(-3). Suppose 2*y + 20 = -r. Let z(a) = -10*a - 53. What are the prime factors of z(y)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.6 - 13.6. Let t = 0.2339 - 0.0339. Which is the nearest to -0.05? (a) -2 (b) -1\/5 (c) t (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**2*u**5 + 6*a**2*u**2 + a**2*u - 32*a**2 + 15*a*u + 6*u**3 wrt u?\nAnswer: 180*a**2*u**3 + 12*a**2 + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*s = 208*s + 2*q + 37591, -5 = q. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -2*a - q - 2, 827*a + 6 = 821*a + 2*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.77335 millilitres to litres.\nAnswer: 0.06777335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**3 - 289*x**2 - 124*x - 3049. What is t(145)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + -9 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**2 + 4*n + 11. Let z(v) = 55*v + 4. Let p be z(1). Let l = p - 70. Let y(x) = -2*x**2 - 2*x - 6. Calculate l*y(k) - 6*o(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -5 + 10 + -17 + 30 + 5?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(-5) - 3 - 30\/50. Let a be (w - (-16 + 6)) + -6. Solve a*g = -5*t - 0*t + 8, g + 1 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398009947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -25293.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*4 + 100\/(-20). What is the tens digit of x - (-3282)\/(-7 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8046.2 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -389 + 394. Solve 6*m + 7 = -y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**6)\/k)**12\/((k*((k**(3\/2)\/k*k)\/k)\/k)\/k*k**(-9)\/k) assuming k is positive.\nAnswer: k**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/17 + 947558*c\/17 = 0.\nAnswer: 0, 473779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -15 - ((1 - 12) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -13. Let c be 1\/(1 + (-3)\/s). Let m = -12 + 26. Solve -m = -c*a + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -39 + (-3 - 12 - -16).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(153) - sqrt(153) - sqrt(153)) + -4.\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -115?\nAnswer: 11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11123 = 158*n - 6573. What is the smallest common multiple of n and 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 5*d - 25, -5*d + 14 = 2*z - 3*d. Let u be 1\/((-1 + 2)*1). Let h be 9\/(u\/(-44)*-6). What is the greatest common factor of h and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*27\/6*-2*8\/24\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 16. What are the prime factors of a(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 113 = 5*z, -2816*z + 2837*z - 467 = -5*r for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 219363412 and -0.18.\nAnswer: 219363411.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -37930000 rounded to the nearest one million?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 848976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 + 3 = 0. Let t be ((-2)\/6)\/((-2)\/u). Let a = t - -3. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muum when four letters picked without replacement from {m: 3, u: 5, a: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -4618068?\nAnswer: -461806.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 0 - ((-24 - -17) + 15).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 151, 302, 451, 598, 743, 886, 1027?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 10, 20 = -34*s + 41*s + 3*y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*t = -10299, 0*r + 10301 = 5*r + 2*t. Suppose 0 = -16*y + r + 2547. What is the greatest common factor of y and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + sqrt(320) - 6*sqrt(320)*-1 - (-4*sqrt(125) + -3 + sqrt(5)*2).\nAnswer: 3 + 74*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -4 (b) -174 (c) -0.1 (d) -10 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(-1))\/(-1 - 1). Suppose 4*f - 19 = 3*s, -f - 5*s - 4 + 3 = l. Let o = -113 + 116. Solve -o*m - 9 = c - f, -m = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-336)\/40)\/(-7))\/(22\/(-10)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-38)\/6 - -6)*561. Let o = x - -190. Solve 0 = w - 5, -d - o*w + 5 = -2*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -2) + (-6)\/3. Let d be 10\/y*1\/(-4)*2. Solve -d = 3*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18389676.\nAnswer: 2, 3, 101, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 54925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3228, -6455, -9682, -12909, -16136, -19363?\n\"Answer: -3227*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**4 + 270*c**3 + 625*c**2 - 3690*c + 2800 = 0. Calculate c.\nAnswer: -5, 1, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56056 by 14014.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 47 = 4*l, -z + 4*l = -0*l - 19. Suppose -7*n - 3 = z. Let g = -3 - -2.8. What is the second smallest value in g, n, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35905 - -18a?\nAnswer: -35726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 36 = -5*u, 4 = -5*u + 3*m + m. Let f be (u\/(-16))\/((-2)\/8). Let i be 0\/(-1) + (-2)\/16. Which is the second smallest value? (a) -5 (b) i (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311201 (base 4) in base 11?\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120339584.\nAnswer: 2, 3, 7, 13, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53264 (base 9) to base 15.\nAnswer: a677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1191.465732 + -22.654968. Let v = -1214 - y. Let l = 0.12 - v. What is l rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m - 4*m + 1 - 2*m + m.\nAnswer: -12*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 3*r**2 + r - 3. Let k be w(3). Let b(q) = q + 409. Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*h**5 - 71*h**4 + h**2 - 4626*h + 2 wrt h?\nAnswer: 600*h**2 - 1704*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 11 - (-11 - (7 - 44)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 711946.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 561602 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t - 11 - 10*t - 27*t**2 + 5*t - 39*t**2. Let c(a) = 22*a**2 + 4*a + 4. Calculate 11*c(b) + 4*h(b).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, t: 6, x: 2, f: 1, h: 1}. What is prob of sequence ftx?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -142, -191, -232?\nAnswer: -265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550696133?\nAnswer: 13, 19, 41, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sscsnczzst. Give prob of sequence tc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2 - 22. Calculate the common denominator of -91\/38 and 1\/(-14 - c) - -5.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 - 5*m**3 + 5*m**3 + (1 + 2 - 2)*(22877*m - 511*m**3 - 22877*m) to the form j*m + o + f*m**2 + a*m**3 and give a.\nAnswer: -514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-12)\/20 + 1 - 834. Let m be ((-332)\/z)\/(11\/10). Factor 6\/11*n - m*n**2 + 18\/11.\nAnswer: -2*(n - 3)*(2*n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62, -236, -542, -998, -1622, -2432, -3446, -4682?\n\"Answer: -3*j**3 - 48*j**2 - 9*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4976 - -5163. What is the remainder when 468 is divided by r?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 0.01 (c) 18\/5 (d) -2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((21\/10)\/3)\/(58 - 53268\/920)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -63*j - 44. Suppose 21 = -5*m - 3*l, 9 = -2*m - 33*l + 32*l. What is the tens digit of d(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = d - 0*d - 16, -4*h + 80 = 4*d. Suppose 4*o + c = 175, -4*o - 4*c + 39 = -121. What is the highest common factor of o and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 3 - 3*g + 3*g**2 + 4*g. Let b be z(-4). Suppose d + b = 23. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (66567 + 6 + 5)*1*(-1)\/(-2)?\nAnswer: 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5604 - 32?\nAnswer: 5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (5\/20 - (4004\/16)\/13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1176.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, d: 5, m: 2}. Give prob of picking 2 k.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/3 - -8\/15. Let s = 53 + -48. Let 0*h - 9\/5*h**4 + 4\/5*h**s + 0 + 6\/5*h**3 - m*h**2 = 0. Calculate h.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 230159*a - 230157*a + 3*d - 9, 3*d = -a + 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1966, 3750, 5524, 7282, 9018?\nAnswer: 10726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**2*q**2 - 25*i**2*q - 11*i*q*u + 1600*q**4 - 8*q**3*u - 176*q*u wrt q.\nAnswer: -10*i**2 + 19200*q**2 - 48*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**28*(g**(-3)\/g)\/(g\/g**(3\/2)) assuming g is positive.\nAnswer: g**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**2 + 44*n**4 - 43*n**4 - n - 4*n**2 + 2 to c + r*n**4 + o*n + t*n**3 + k*n**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 549, 311, -85, -639?\nAnswer: -1351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-9) - (-2)\/3. Suppose 0*o = -4*o + 2*a + 26, 2*o + 4*a + 2 = j. Solve o*m - 6*l + l = -10, 3*m + l - 14 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76995 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 j(u) = -24*u - 41 - 95 + 127. Let w(g) = g. Determine j(w(p)).\nAnswer: -24*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 5*i + 7. Let v be g(3). Let y be -3 + (v - (-1 - 0)*-5). Let w(f) = -f**3 - 8*f**2 - 6*f - 1. Determine w(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*o + 76, 3*o + z = 7*o - 100. Let a(f) = 7*f - 1. Calculate the remainder when o is divided by a(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -48 + p**2 - 50 - 34 - 3*p**2 + 135 - p. Let k(w) be the second derivative of w**3\/6 + 2*w. Determine -d(t) - 2*k(t).\nAnswer: 2*t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*3\/(-1)*1752\/(-721532)*-353.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 12:56 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 925.311 * -0.026\nAnswer: -24.058086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 4*f + 31. Let u be p(4). Let a(w) = 77199*w**3 + 3*w**2 + 4*w. Let r be a(u). Round r to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135 by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-5))\/((-84)\/210).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 28*y**2 - 72*y - 17. Suppose -2*v + 84 = -4*f + 18, -2*v + 57 = 5*f. List the prime factors of s(v).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/5465 and -3\/25.\nAnswer: 27325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*v - 17 = 4*t, 2*v - 10 = 0. Suppose 600 = f + t*f. Round f to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -772*v**3 - 9*v**2 - 23*v - 4?\nAnswer: -4632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27aa (base 11) to base 5.\nAnswer: 104004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -1.654.\nAnswer: 1.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, t: 2, z: 2, h: 3}. Give prob of picking 2 h and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2\/(p\/((p**(1\/5)*p)\/p))*((p*p**(1\/4)\/p*p)\/p)**(1\/4))**(-9) assuming p is positive.\nAnswer: p**(-909\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2691 and 32.071.\nAnswer: 86303.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (55 - -12) + -4 + -98\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113497 - 227002 + 113505 + 161*c.\nAnswer: 161*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 40 = 3*a. Sort -4, a, 0, -2 in increasing order.\nAnswer: a, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40\/11 - 10\/33. Is -1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7 + u**2 - 6 + 2 - 2*u**2 - 10*u. Calculate the least common multiple of (52\/(-16))\/(3\/(-24)) + 4 and q(-7).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 8:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3934 = 97*c - 4699. Solve 6*b + 95 = c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4 + 0 + 4*n**2 - n**3 - 2*n + 4*n. Let x = 26336 + -26333. What is c(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -606 + 608. Solve -g - 2*f - h = 2, 4*g - 4*f = -4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -18 - 20 - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*r = 6, -3*r = u + u + 3. Let f be (-22)\/(-6) + (-2)\/u. Solve 0 = -3*o + 2*o + f*n - 11, 3*n + 3 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22089810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*h + 16*h + 15*h + (-2*h + 6*h - 3*h)*(4 + 3 - 8) as l + v*h and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 0, 20, 68, 156?\n\"Answer: 2*s**3 - 4*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 988*q**2 + 989*q**2 + 241*q**3 - 1972*q**2 - 11*q wrt q.\nAnswer: 1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 27 = -4*b, -5*w = -w - 3*b + 13. Let a(t) = -t**3 - 6*t**2 + 8*t + 6. Let x be a(w). Which is bigger: -5\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -4*k + 40, 38 = -5*u + 3*k - 22. Is -15 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 3. Let o be z(4). Calculate the remainder when 45\/2 - 5\/10 is divided by o + 11 + 2 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156)*2 - sqrt(156))*5)\/((1*sqrt(96))\/sqrt(8)) + -5)**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 253 = 125. Let a = c + 190. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 67? (a) -0.7 (b) -0.5 (c) 1\/4 (d) -4 (e) 12928\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 14, 0, -88 in decreasing order.\nAnswer: 14, 0, -3, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/28 and 55\/53161696?\nAnswer: 53161696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -39*r - 24. Let q be j(-7). Let u = q - 2737\/11. Factor -4\/11*n**4 + 0 + 0*n**2 - 6\/11*n**3 + u*n.\nAnswer: -2*n*(n + 1)**2*(2*n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 199*b**2 + 3*b + 3. What is the units digit of h(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101275.\nAnswer: 5, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2200 and 553900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 715894 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 1. Let q(x) = x + 2. Let c(n) = q(n) - 2*u(n). Let y be c(-14). Let r = 36 - y. Calculate the remainder when r is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**2 - 7 + 1\/4*j**4 - 2*j + 0*j**3 - 3\/20*j**5. Let s(q) be the first derivative of k(q). Let s(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14295047?\nAnswer: 13, 1099619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 9*o**2 - 8*o + 12. Let f be x(10). Suppose -2*g = 2*g - f. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*u - 936 = 0, -6 = -u - 2*u. Let q be g\/(-728) + 6\/(-21). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3803171 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 79*u**2 - 165*u + 334. Give g(81).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 33412, 267614, 903348, 2141380, 4182476, 7227402?\n\"Answer: 33461*m**3 - 25*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(4 - m**2 + 3*m**2 - 2).\nAnswer: -8*m**2 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**5\/60 + b**4\/6 - b**3\/6 - 43896*b**2. Let w be (-2)\/5*(-5 - 0). Suppose p + 5*f = 6*f - w, 0 = p + 5*f - 28. Give c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**5\/3 + 4813*x**4\/3 - 1426612*x**3\/3 - 4248884*x**2 - 10752864*x - 5875776 = 0. What is x?\nAnswer: -4, -3\/4, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1012, -2, 3, -3, 1, 0 in ascending order.\nAnswer: -1012, -9, -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 7 + 5)*(1 - 5 + 2)*(0*i**2 + 2*i**3 + 0*i**2)*(-3*i + i**2 + 3*i).\nAnswer: -44*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 7*g = -2*f - 10, -4*g + 5*f = -25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/14)\/((-15)\/105). Let d(g) = -12 + 2*g**i - 12*g + 4*g + 0*g**2. What is the remainder when 57 is divided by d(7)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + -1.4. Let n = -3 - w. Let j = -0.1 - n. Are 0 and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -9. Let b(p) = 2*p + 35. Let q be b(8). Suppose 0 = 8*k - 5*k - q. Solve -v*t + k = 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1664 and -59\/40.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-4))\/((-9)\/((-45)\/(-10))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130 or 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5575 + -5532. Which is smaller: j or 272?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = 4*w, 0 = 4*z - 0*z. Suppose 2*x - 3*t = 63 - 12, -5*x + 78 = -2*t. Solve -5*u = -2*u + 9, w*u = g - x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 19*r + 20*r - 86.\nAnswer: 3*r - 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.036539*0.14.\nAnswer: 0.00511546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaf when three letters picked without replacement from {a: 2, r: 1, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11999?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-16)\/((((k\/(k**23*k))\/k)\/k)\/k)*(((k\/(k*k\/(k\/(k\/(k**(-16)\/k*k))*k)*k))\/k)\/k)**(-12\/13) assuming k is positive.\nAnswer: k**(358\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -85750 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/121 and 34\/407.\nAnswer: 4477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8492248 is divided by 120?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*f, -4*f - 37 = -5*d - 2*f. Let k = 11 - d. Solve 0*n = -k*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2 - 3. Let t = -15 + 37. Suppose 38 = 5*l - t. Solve 8 = -k*p - l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -253, -522, -799, -1090, -1401, -1738?\n\"Answer: -u**3 + 2*u**2 - 268*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 8*o**2 + 8*o - 8. Let h be p(-9). Let b be 16\/8 + 1\/h. Factor -48 + 113*d - 58*d - b*d**2 - 31*d.\nAnswer: -3*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -4*d**6\/9 - 22*d**5\/5 - 16*d**4\/3 + 52*d**3\/9 + 12*d**2 + 14*d\/3 + 26. What is y in j(y) = 0?\nAnswer: -7, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -26 + 30 - (-104 - -42)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -20) + 24 + -17 + -8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, m: 2, p: 2, s: 3, k: 1, i: 3}. Give prob of picking 1 x and 1 p.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**6\/5 + 2*y**5\/25 + y**4\/2 - 2*y**3\/15 - 2*y**2\/5 + 6. Solve w(g) = 0 for g.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 8}. What is prob of sequence kgg?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (22 + (-2 - 4) - 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/98 and 9\/7.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14289150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 - (78 - 88)) + (-2 - (0 + 0))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 31*u**2 + 60*u - 50. What is j(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -96*a + 10166. Let q be s(106). Let k(d) = -d**2 + 28*d + 369. What is k(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 105?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2065854636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8955 - -79a?\nAnswer: -8188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1037657 is divided by 302?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*m**2 - 9*m**2 + 3*m**3 + 18*m**2 to the form r*m**3 + a*m + z + p*m**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -64.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/12 + g**4\/12 + g**3\/9 + g. Factor b(x).\nAnswer: -x*(x - 1)*(5*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4044\/(-18)*45\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38009 - -118?\nAnswer: -379a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z - 4. Let t = -11 - -4. Let n(y) = 5*y + 7. Let s(d) = t*k(d) - 4*n(d). Let m(g) = 2*g. Let c(w) = m(w) - s(w). Let j(v) = 8*v. What is c(j(i))?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in seconds?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 28 = 25. What is the units digit of (2*o\/(-2))\/((-28)\/24920)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 2*l - 8 = 0, -5*l + 2 = -0*u - 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2785925 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -22*t - 23. Let z be l(-1). Sort 2, 16, z, -14 in decreasing order.\nAnswer: 16, 2, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 41 = -50*f. Is 2\/377 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - 46\/(3 + -1). Let m = -37 - a. Is 17 a factor of (-18)\/30 + (-1284)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 3*x - 7. Let v be g(7). Let p be (-19)\/(-45) - 14\/v. Factor 2\/5*y**2 + 1\/5*y**3 + 0 + p*y.\nAnswer: y*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 11. What is the second derivative of 7*y + 12*y**u + 3*y**4 - 20*y**4 wrt y?\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13440\/107 (b) -3\/8 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 - 7 + 47 = 43*b. Sort 2416, b, -5 in ascending order.\nAnswer: -5, b, 2416","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1668663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2509*i**2 + 55*i + 239. What is the thousands digit of y(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**6\/80 + y**5\/20 + y**4\/16 - 5*y**2 - 9. Let r(a) be the second derivative of x(a). Factor r(q).\nAnswer: 3*q*(q + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1414293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/2 - 0) + 5. Let k = 127 + -124. What is the second derivative of b**a + 2*b - b**2 - 7*b**k + 2*b wrt b?\nAnswer: -42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 865183 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:43 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 - 73. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-546)\/39*((-9)\/6)\/(3\/1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9791 and 7.\nAnswer: -9784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2625 and 69625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1282*c + 496*c - 7860 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 1, e: 1, j: 1, b: 1, l: 2}. Give prob of sequence be.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*k + k. What is the nearest to k in -2, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/26924731 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 4. Let b be o(16). Suppose 0 = b*j - 19*j - 104. What is the remainder when j is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61\/9, -1306, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 1, h: 2, v: 1}. Give prob of sequence vt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -190167 (b) -2\/13 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2581704 and 1012.\nAnswer: 28398744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131 and 3013.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -9, -10, -1, 24?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -2*f + 0*f**5 - 1\/15*f**6 + 0*f**2 + 0 + 0*f**4 - 1\/2*f**3. Find the second derivative of u(v) wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 11*y**2 - 5*y + 2. Let t(r) = -5*r**2 + 3*r - 1. Calculate 5*t(g) + 2*u(g).\nAnswer: -3*g**2 + 5*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*f + 2*f = 4, -2*f + 1 = b. Let v be 2 - (0 + -1 + 0). What is the nearest to b in v, 1\/7, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*v - 66, 8*k + 2*v = 5*k + 30. Let p = -12 - -14. Suppose 5*a = 2*l + a - 28, -4*l = -p*a - 38. What is the highest common factor of k and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*h**2 + 0 + 3\/4*h.\nAnswer: h*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 3*c**3 - 4*c + 0*c**3 + 0*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 12577*q**3\/6 - 9955*q**2\/2 + 1392*q - 3. What is the first derivative of p(n) wrt n?\nAnswer: 12577","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*10\/(-20)*(1 + 5). Let k(y) = -2*y + 4. Let n(h) = -2*h + 3. Calculate a*n(l) + 2*k(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -7*b + 4*b - 19, -2*u - 6 = -2*b. Suppose 5*o + 30 + 0 = 0. Does 12 divide (o\/(-8))\/(b\/(-52))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 11:46 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 784.9 + -2305. Round w to the nearest ten.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4530\/7 + -4526\/7. Let t(i) = i**3 - i**2 - 2*i + 2. Let x be t(2). Let w be (x + -1)*1\/9. Which is the third biggest value? (a) 0.1 (b) q (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - m)*(-283*m - 209*m + 614*m).\nAnswer: -122*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h + 3*h + 2*h - 3*h. Let v(z) = z. Calculate v(y(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u - 39*u**3 + 3*u**3 - u + 3*u + 446*u**3 to the form z*u + n*u**3 + k + m*u**2 and give n.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -341 - -659. Suppose -j = -3*k - 2*t, 3*k + 5*t - 281 - 28 = 0. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 + 54.1. Let v = b - 6. Do v and -2\/25 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15*u**2 + 17*u**2 - u - 1 - 2. Let c be o(2). Suppose c*w + 48 = 6*w. What is the highest common factor of 24 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 + -46. What is the third derivative of -15*h**2 - s*h**4 - 32*h**2 - 20*h**4 + 8*h**4 wrt h?\nAnswer: -528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 2*m**2 - m**2 + (-m + 5*m - 5*m)*(0 - 2*m + 0) + 56 - 4*m - 56 + 2*m**2.\nAnswer: 6*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.67296724 + 1.673. What is r rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 42*z**3 + 2*z**4 + 2*z**2 - 43*z**3 + 125*z**3 - 36*z**3 to the form g + n*z**3 + y*z + h*z**4 + a*z**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 4448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**3 - 228*m**2 + 4332*m - 27436 = 0. What is m?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/8 (b) -0.1 (c) -0.76 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, -4, -12, 116, -1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 33440174?\nAnswer: -3\/33440174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*c + 215*c = 72 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67909 + -36699. What are the prime factors of r?\nAnswer: 2, 5, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5741134 divided by 1\nAnswer: 5741134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -4, -85, -5, 3, 2\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720104 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m + 2*m = -20*m - 66*m - 1824 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284 - -110. Let c = -171 - b. Let g(t) = -t**2 + 9*t + 4. Let l be g(9). Sort -7, c, l in decreasing order.\nAnswer: l, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4122728966 to the nearest integer?\nAnswer: 1603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15741365951981\/11580 + -1359358029. Let m = 7573 - 4384762\/579. Let n = m + q. What is the common denominator of n and 101\/76?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.052 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -180 + -1?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g - 7. Let m = 18 - 25. Suppose 5*s - 115 = -3*o - 0*o, 135 = 5*s - o. What is the remainder when s is divided by z(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0893 - 36.7107. Let t = 36.800519 + o. Round t to five dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**6\/120 + 5*x**3\/6 + x. Let o(h) be the second derivative of t(h). Let p(r) = r**2. Give p(o(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a second?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 1\/4 (c) 4700 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7695529 millilitres in litres?\nAnswer: 0.0007695529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 999754 to the power of 1\/2, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10135 and 906420?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/16)*a)\/a**(-2))**(-25)*a**(-3\/5)*a*a**(2\/13)*a**4\/a**2 assuming a is positive.\nAnswer: a**(-125719\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1 + 3 - d - 1. Let p be k(-6). List the prime factors of (-2)\/(-2) + 0 + p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15723 and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4*(-10)\/(-4))\/(3 + -5). Suppose -l*d + 4 = 2*u, -4*d + 3 = 2*u - 1. Let b be (-1 - -1)*2\/(-4). Solve -4*y + n + 3 + u = b, -5*y - 5 = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*-6*(sqrt(288) + sqrt(288) + 1*sqrt(288) + sqrt(288))\/(2*sqrt(484) + sqrt(484) + sqrt(484) - sqrt(4)).\nAnswer: 1728*sqrt(2)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33368 and 2.\nAnswer: -33366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -66b (base 14) to base 13\nAnswer: -76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-1)*(-6)\/(-3). What are the prime factors of (-22649)\/(-55) - (-8)\/a?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1474 - 36458.\nAnswer: -34984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 1123811944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 0*z - 2*k = 80, -3*k = 0. Let a = z + 24. What is the remainder when 15 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:32 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 + 564*m + 8*m**2 - 192*m - 194*m - 186*m + 2*m**3. Give x(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 times 4?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*m**3 + 16*m**2 + 5 + 6*m**3 - 16*m**2 wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 + -0.3?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57494.93l?\nAnswer: 57494930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 15 = 9*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -325267 (base 14) in base 15?\nAnswer: -23a08c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (22 - 8 - 7)) + 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2, -30, -86, -166, -270, -398, -550?\n\"Answer: -12*k**2 + 4*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 6*t - 10. Let i be k(-8). Let x = -4 + i. Solve p + 13 = x*c, 27 = 5*c - 2*c - 3*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 9 (b) -610.28 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23.08, 507, 5?\nAnswer: -23.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 26 - 19*b - 26. Let a(f) = 2*f**2. What is l(a(m))?\nAnswer: -38*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296960 divided by -4.\nAnswer: -74240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/11, 3\/20, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 355, 955, 1823, 2953?\n\"Answer: -i**3 + 143*i**2 - 96*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8971.58 weeks in days?\nAnswer: 62801.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638088009?\nAnswer: 3, 13, 59, 277309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 273857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1615 and 285.\nAnswer: 4845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27276 = -4783*h + 45372 + 273667 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 82763127?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-4*20\/(-16))\/1. Suppose f*a = 151 - 136. Solve -2*s - 6 = 5*x, 4 = s - a*x - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10300, 10303, 10308, 10315, 10324, 10335?\n\"Answer: y**2 + 10299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 49*w - 48*w + 8*w**2 + w**4 + 4*w**2 + 0*w**2 to n + l*w**3 + y*w + m*w**4 + t*w**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-32 - -5) - 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13695924491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muummmummumu. Give prob of picking 2 m.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 12*p - 13. Let l be ((-112)\/(-4))\/(-2 - -1). Let x = l + 38. Let a be y(x). Solve a*c - 4*c - 9 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -57138?\nAnswer: -4\/28569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from fmpmmhfm?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 3. Suppose -13*k = 116 - 90. Suppose 0*c = 3*c - 9. Sort k, d, c in descending order.\nAnswer: c, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328\/501 - 2\/167. Which is the nearest to -8? (a) -2 (b) x (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**5 - 51*x**4 + 585*x**3 - 525*x**2 - 3750*x = 0.\nAnswer: -25, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 12 = -4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (13 + -14 + 8 - 13)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 12*a - 16. Let z be r(9). Let j(m) = 0*m - 9*m + z*m. Let q(k) = -k. Determine q(j(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3*(1 + (-1016)\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 3*r + 1)*(-792*r**3 - 783*r**3 + 36*r**3).\nAnswer: -4617*r**4 - 4617*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of s**7\/420 - 5*s**4\/24 + s**3 + 3. Let b(k) be the third derivative of x(k). What is the first derivative of b(j) wrt j?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -2. Let o be (-18)\/(-72) - (-7)\/4. Find the second derivative of o*l + l + 46*l**j - 38*l**3 wrt l.\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/60 - 14*i**5\/15 - 299*i**4\/12 + 415*i**2. Find the second derivative of s(x) wrt x.\nAnswer: -12*x - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - i + 5. What is l(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 74*l + 1346. Determine q(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7426 (base 11) to base 5.\nAnswer: -303304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15127124 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 557 - 2183\/4. Let l = -8 + k. Are l and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -215, -864, -1945, -3458, -5403, -7780?\n\"Answer: -216*h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/4 and -469980 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g. Let o(a) = -132*a. Give o(u(k)).\nAnswer: 396*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/2130 and -23\/24?\nAnswer: 8520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 14*l + 31. Determine a(15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/4 - -19)\/1. Suppose 3*v + 0*v + 4*a - z = 0, -v - 5 = -4*a. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.55 + 0.5. Let b = 36 + -55.5. Let m = 19.4 + b. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1918049 is divided by 560?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = -3*x + 4*j + 561, 4*x - 2*j = 592. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1083277584 and 864?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = y - 5*l - 17, 3*y - 4*l = 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + -8*(-9)\/(-6). Let v(s) = -s - 12. Let u be v(r). Solve 5*t - 5 = -5*d, 4*d - u*t - t = -10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbt when four letters picked without replacement from {m: 1, t: 3, b: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i - 137 - 714 = 0. Let j(m) = 2*m**3 - 48*m + 39. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*o + 952, 3*w - 4700 = -2*w + 5*o. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 3*p - 20, -5*q + 4*p - 32 + 36 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -127, -110, -87, -58, -23, 18?\n\"Answer: 3*b**2 + 8*b - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 16) to base 13\nAnswer: 1c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70659313939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.323503 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(1\/3). Suppose -2*z - 9 + 1 = 0. Let j be 1 - (-2 + (-1 - z)). Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(-2)*870\/(-25). Suppose 3*h - 2*c - 159 = 0, -5*c - u + 49 = -4*h. What is the remainder when h is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -33, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 202210200 (base 3) to base 5\nAnswer: 441130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(171) + sqrt(171))**2*6)*-4 - (((sqrt(342) - sqrt(342)*1)\/sqrt(6))\/(-3*sqrt(12)\/sqrt(4)) + 2).\nAnswer: -36946","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + a1?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q**2 + 6*q + 5. Give z(-2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -162, -234?\n\"Answer: -72*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttto when four letters picked without replacement from tstsostt?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + 16\/7. Let 30*m**4 - 33*m**2 + 93*m**d - 65*m**3 - 29043*m**5 + 29038*m**5 - 20*m = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**2\/2 - 2. Let t(h) be the third derivative of h**4\/24 - 5*h**2. Calculate t(q(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3323712 is divided by 1661831.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by -24.\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/105 (b) 0 (c) 1\/17 (d) -4\/5 (e) 3\/2 (f) 38\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**2*l**2 - 2*h**2*l + 11*h*j**3*l**2 - 2*h*j - 7*h*l - 11*j**3 + 3*l**3 wrt l.\nAnswer: -6*h**2 + 22*h*j**3 + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-16)*(-506)\/5313.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - r = 5, 12*r = 11*r + 4. Let l(x) = -x**3 + x. Let i be l(-2). Solve k*b - i = 9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, 11, -0.01, -3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p + 2*p - 4*p)*(-2 + 1 + 0)*(4*p**2 + 7*p**2 - p**2) to f + l*p**2 + a*p + j*p**3 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -17*r + 14*r - 15, 4*r = -20. Let o(k) be the third derivative of 0*k + 1\/390*k**5 + 1\/78*k**4 - 15*k**2 - 1\/13*k**3 + s. Factor o(n).\nAnswer: 2*(n - 1)*(n + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 175 and 1864988235.\nAnswer: 1864988410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19503008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 4) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/60 and 169\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1190 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 r(n) be the third derivative of 22*n**5\/3 - 40*n**3\/3 - 411*n**2. Find the first derivative of r(a) wrt a.\nAnswer: 880*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3820995 by -7.\nAnswer: 3820995\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m - 14*v + 9*v, 2*m - 3*v - 7 = 0. Which is the closest to -1\/6? (a) -10\/7 (b) m (c) -2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*v + 119*v - 20 = 0. Solve c = -5*m - 6, 0 = -v*m + 5*c - 2*c - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + 29. What is q rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 39 + 10 - 11 = 0. Calculate the remainder when 1\/(-1)*5\/(-1) is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -665 - -667. Solve 40*u = -q + 37*u - 1, -z*u = -4*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2\/17, 0 in descending order.\nAnswer: 20, 2\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + 4 + (-4 - -2). Let y = 13 - 8. Put y, 3, n in decreasing order.\nAnswer: y, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - (3 + -4)) + 279 + -205 + 17?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1035748*m + 1036055*m - 2071781*m + 2.\nAnswer: 22*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 12 = -6*d. Let j = -7 + d. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*a - 1. Suppose 155*d - 153*d + 4 = 0. Sort d, a, 1, 2 in descending order.\nAnswer: 2, 1, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2162 divided by 1081\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:13 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*s**3 + 669*s**2 - 109*s - 6927263.\nAnswer: -9*s**2 + 1338*s - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4887262, 9774547, 14661834, 19549123?\nAnswer: 24436414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((187\/33)\/(-17))\/(45\/5)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 288 and 180.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8933 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 5*z**4 - 571*z + 2. Let u(j) = -10*j - 4. Calculate w(u(n)).\nAnswer: 6000*n**2 + 4800*n + 960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 7*r - 11. Let o(d) = -4*d**2 - 14*d + 23. Let p(i) = 4*o(i) + 10*y(i). What is the hundreds digit of p(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -n - 824, -5*v - 423*n = -419*n - 4084. Sort v, 0.5, -0.2.\nAnswer: -0.2, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110001110000101011 (base 2) to base 3.\nAnswer: -212200011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - (-4478)\/7. Suppose 2*z = 3*j - d, -j + 3*j - 427 = z. Let l = j + -1715\/8. Which is the second biggest value? (a) -0.02 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 2\/5*x**6 + 0*x**3 + 0*x**2 - 1\/21*x**7 + 4\/3*x**4 + 0 - 6\/5*x**5 - x. Find m such that s(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 plus 5492647417?\nAnswer: 5492647579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -5 (c) -0.01 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -640 divided by -8\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -23. Let h be (10\/8)\/(2\/8). Suppose -l = 2*a + h - 19, -2*l + u*a = -28. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + v + 84 = 0, 4*g + 209 = 9*g - 3*v. Suppose -g*i - 249 = -12289. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 2:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = 11*x - 239. Solve 3*f + 8 = v + f, -x*v + 18 = f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1056, 1974, 4150, 8112, 14388?\nAnswer: 23506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, o: 3}. What is prob of sequence oggg?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1191*j**2 - 1285*j**2 + 8*j - 6 + 2466*j**2. Let u(h) = -9*h**2 + 7*h - 5. What is -4*u(z) + 3*y(z)?\nAnswer: 6*z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 7:34 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-59376)\/10*(-170)\/102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Let f(r) = r + 13. Give m(f(h)).\nAnswer: 3*h + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from zbbcbzzzbzczbzbb?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 5:36 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 24520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186422 and 918.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(17) + 0) + -2*sqrt(833) + 1 - (sqrt(2057) + 1 - (sqrt(2057) + 2)))**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/10, 3, -2, 283405 in decreasing order.\nAnswer: 283405, 3, -9\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*c**2 + 34*c**2 - 41*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 56316 divided by 52?\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from jfjjjjf.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155.33732 + -0.05891287.\nAnswer: 155.27840713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**2 - 29*l - 122. Let r(a) = -a**2 + a + 3. Let m(q) = -6*r(q) - y(q). Let i be m(-17). What is s in 4\/3*s - 4\/3 - 1\/3*s**i = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.56323971 + -30.60024. Let s = n - -0.037. Round s to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -494979 + 1229527801\/2484. What is the common denominator of -93\/16 and i?\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 2*q**2 - q**2)*(q + 0*q - 3*q + (-5 + 4 + 2)*(0 + 0 - q) - 5*q + 3*q - 2*q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(7*w - 21 + 21)*(-1 + 0 + 2).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4 + 14*k**3 - 72*k**2 - 104*k + 160 = 0.\nAnswer: -10, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 + 16*c - 23. Determine w(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 2*s + 3. Let p be k(-2). Find the second derivative of 8*q**4 + 7*q - p*q**4 + 3*q**4 + q**4 wrt q.\nAnswer: 108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/462740 and 39\/16971670?\nAnswer: 577036780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 495*n - 147*n - 36 - 260*n)*(-1 + 1 + 2)*(-8*n**2 + 7*n**2 - 4*n**2).\nAnswer: 9020*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/120 - s**5\/20 - 3*s**4\/4 + 2*s. Let m(z) be the third derivative of p(z). What is the derivative of m(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -601 or -523170\/871?\nAnswer: -523170\/871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 332 = 220. Solve -3*c = 2*c + f + u, 2*c - 3*f + 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34465*n**3 - 5942*n**2?\nAnswer: -206790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 48*c**2 + 103*c + 1434. Let j be r(45). Sort j, -1, -19, 2\/11, 5 in ascending order.\nAnswer: -19, j, -1, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.197505 times -4\nAnswer: -0.79002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2721 (base 9) in base 4?\nAnswer: 133330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**4 - 107*x**3 + x**2 + 35*x - 707552?\nAnswer: -4*x**3 - 321*x**2 + 2*x + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 4. Let a(o) = 3*o**3 + 5*o**2 + 8*o + 6. Let r be a(-2). Let f = -9 - r. Calculate the remainder when f is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - a7?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) + 1 + (sqrt(11) - sqrt(44)\/sqrt(4)*5 - 2*(-1 + sqrt(11)))**2.\nAnswer: -18*sqrt(11) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*x - 1 + (-1 + 4 + 0)*(-4*x + 2*x + 3*x) - x + 3*x + x as m + t*x and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 6*w**2 + 26. Suppose 3*j + 4*u = j + 30, -j - 5*u + 30 = 0. Let v be m(j). Is -1\/499 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 20 = -32*p + 27*p, 4*x + 4*p = -16 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4 and 2\/999 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -5, -626, -13\/5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose m = -3*v + v. Differentiate v - 2 + 3 + 3 - 3*k**2 with respect to k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.060403 and -4.\nAnswer: 0.241612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 + 5\/((-20)\/(-16)))*97. Let q = p + 109. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 645, 2611, 5903, 10521?\n\"Answer: 663*q**2 - 23*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6) + sqrt(96)*-6)\/sqrt(2).\nAnswer: -23*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, u: 3, s: 3, r: 3, t: 8}. What is prob of sequence sr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2. Let z be ((-38)\/(-4))\/(2\/12). Let l(y) = -31 + y + z - 26. What is v(l(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -21*b - 134. What is j(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 930, 5, -2 in increasing order.\nAnswer: -5, -2, -1, 5, 930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60.1 + 60. Is w at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44 + -41513026?\nAnswer: -41513103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -5*c**6\/6 + 5*c**5 + 5*c**4\/4 - 85*c**3\/3 - 30*c**2 - 189. Let j(z) = 0. Calculate z.\nAnswer: -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 51902 + 226306 = 0. Let q be d\/6 + 10\/(-60). Let y = -4948 - q. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513 + -505 + (-18 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 84082320?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13154 (base 14) to base 2.\nAnswer: 1011011101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -25, 0, -198, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65339753*a**2 + 130679498*a**2 - 65339744*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = 0, 0*y + 5*g = 5*y - 35. Let f = y + -11. Let r(i) = -i**2. Let d(s) = 2*s**2 + s - 2. Determine f*d(z) - 3*r(z).\nAnswer: z**2 - z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25\/2, 35, -1, -5, 244, -2?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 7*n**3 + 9*n**2 + 9*n - 7. Let o(m) = 3*m**3 + 4*m**2 + 9*m + 2. Let u(l) = -l - 1. Let q(j) = o(j) + 5*u(j). Give 4*b(z) - 9*q(z).\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 0\/2) + -2. Suppose 0 = 5*b - b - 8. Suppose 0 = b*q - 3 - s. Solve -q = v - 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 3, v: 1}. Give prob of picking 3 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5\/4 (c) 0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**2 + 0*k**2 - 3*k**2)*(-12 + 7*k + 12)*(1 - 2 + 2)*(0 - 1 + 4) in the form t*k**3 + q + o*k + m*k**2 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*-1*2\/(-6)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.83 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 30. Suppose 3*c - 7*c = -3*a - 203, 5*c - 259 = g*a. Let d = -27 + c. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 52846527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -101*1*(-31 - -30) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 36, 23, -4, -51, -124?\n\"Answer: -j**3 - j**2 - 3*j + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 862\/4*(4 - (5 - 3))*89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8817517 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7375 is divided by 48.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.54515 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(25) - 2*sqrt(25))\/sqrt(5))**2 - sqrt(125)*2)*6.\nAnswer: -60*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.49999701 - -23.5. Round j to seven decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*a**3*g**4 + 11*a**3*g + 2*a**2*g**2 - a*g + 45*g**4 + 2*g**3 + 39 wrt g?\nAnswer: 504*a**3*g + 1080*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 768987*l**2*n - 19*l**2 - 106*l*n - 615886*l + n wrt n?\nAnswer: 768987*l**2 - 106*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - 2\/(12\/(-30)). Let p(g) = 4 + 5 - 2*g - 15 + 0*g - 3*g**q - g**3 + 4. Determine p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17428?\nAnswer: 2, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212434 (base 5) to base 14.\nAnswer: -10058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 1824*k + 1926. Give u(-2).\nAnswer: -1722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/7 + 9*r**2\/7 - 12\/7.\nAnswer: -3*(r - 2)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 29. Let l(d) = 2*d - 3. Let p be l(2). Let g be (18\/(-24))\/(p\/12). Let u be f(g). Calculate the greatest common divisor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*i + 20. Suppose 4*a - 116 + i = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -111\/5, 2, -0.01, 75, 0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5*y - 77, -5*y + 3*y + 277 = -5*f. Let n = 94 + f. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(-6*(sqrt(3888) - (sqrt(3888) - (sqrt(3888) + 0))) + 1))**2.\nAnswer: -139968*sqrt(3) + 45349956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98368 + -47967. What is the thousands digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3218 is divided by 3200.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i = -22*i - 5880. Let z be i*205*(3\/(-3) - -31). Round z to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40863274 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: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9259637875 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - 77 - (10 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127 and 1143.\nAnswer: 1143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11838230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1022 - -1027. Solve -2*n + 5 = 4*z + 3*n, -2*z - 35 = -x*n for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 55 = 5*v, -4*v = -2*v - f - 21. Let m be (7\/(-21))\/((-3)\/288). What is the highest common divisor of v and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icihiccc. What is prob of picking 3 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 594*o + 9. Let a be p(9). Suppose -3*u - 1079 = -i, a = 5*i - 3*u - 2*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 qth term of 165521419, 331042845, 496564271, 662085697, 827607123?\n\"Answer: 165521426*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(21\/(-210))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) - (-416)\/14. Suppose -t - 6 = 0, 3*p - 8*t - 99 = -6*t. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + -31 - -22 - ((-2 - -2) + 5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 339 and -8.\nAnswer: -2712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/84 and 169\/16296.\nAnswer: 16296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*a + 9, -4*a = -5*a + 3*h + 5. Let q(p) = 22*p - 5. Let g be q(5). Suppose a*x + x = g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (u**3 - 1 + 1)*(-429 + 680 - 251 + 14478*u) in the form t*u + z*u**4 + d*u**3 + q + g*u**2 and give z.\nAnswer: 14478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/60 - 2*s**3\/3 - 5*s**2. Let d(u) be the first derivative of b(u). Let v(w) = 3*w**2. What is d(v(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -4 + -4 + 7. Suppose -3*x - l*j - 4 = 0, -32 = 5*x - 0*j - 3*j. Which is the nearest to 1? (a) 1\/5 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - ef1?\nAnswer: -eed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4.6. Let y = 0.86 + -0.46. Put m, y, -0.12 in ascending order.\nAnswer: m, -0.12, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 42. Find the common denominator of 105\/28*27\/i and -145\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + (-23)\/(-10))\/((-6)\/8). Let x = -84 - -83.9. Which is the second biggest value? (a) 10 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, -1, 2, -2\/17, 7597?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 118*l**2 + 3481*l.\nAnswer: l*(l + 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 bigger than 2743524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 8. Suppose f*l - 6 = 2*l. Solve 0 = -c + o - 5, -5*c + l*o - 5 = 8*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 59. Suppose g*v = 4*u + 106, 0 = -v + u + 7 + 15. Solve 4*q - 2*h - v = q, 2*h = -6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1412 + -12730\/9. Calculate the common denominator of (-1 - 45\/(-35))*-20 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2962005*i**4 + 7585854*i**2?\nAnswer: -71088120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c + 3. Let l be w(0). Suppose -19*o - 28*o + o - 108*o + 308 = 0. Solve o*q + l*q = 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*z + 1 - 124*z + 59*z + 5.\nAnswer: 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3215891030 to the power of 1\/2, to the nearest integer?\nAnswer: 56709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/10 - 2\/10. Suppose y - m*y = -7. Let z(r) = 8*r**2 - 2*r + 4. Calculate the smallest common multiple of z(1) and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 528.7 - 529. Let n = 69 + -69.1. Which is the nearest to n? (a) -5 (b) g (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/11))\/((z\/(z\/(((z**5*z)\/z)\/z)))\/z*z)*z**(2\/21)*z**(1\/4) assuming z is positive.\nAnswer: z**(-2285\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15496207*b**3*w**3 + 1378*b**3*w - 8*b**3 + 9*b**2*w**3 + 3*b*w - 63*b + 1 wrt w?\nAnswer: 92977242*b**3*w + 54*b**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -4*r. Suppose -2 + 17 = r*k. Let t(p) = 3*p - 2. What is t(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l. Let v(z) = 5*z. Let x(h) = 1 - 24*h - 1. Suppose 0 = 6*f - 4*f + 6. Let c(a) = f*x(a) - 14*v(a). Give d(c(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -205, -208, -213, -220?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 210010212303 (base 4) to base 5\nAnswer: 4410043201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 7187935.0068385.\nAnswer: 7187934.0068385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 90\/9 + 1 + -5. Let w be ((-2)\/(-4))\/(s\/15652) + -1. Suppose 9*x = 3302 + w. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.425*-0.54\nAnswer: -0.2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15 - 8*x + 24 - 9 - x**2. Let i(o) = 3*o**2 + 23*o. Determine -6*i(g) - 17*p(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**4 - g**4 - 2*g**4 + (13*g**2 - 13*g**2 + 17*g**3)*(g - 5*g + 2*g).\nAnswer: -35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2 - 1\/(-2)). Suppose -t - v*t = -15. Suppose 3*y = -l - 4*l + 16, 18 = 4*l + 5*y. What is the remainder when t is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54928 by -2.\nAnswer: -27464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-4 + 1180\/296). Suppose 0 = 4*o + x - k, -2*o + 6*o = 2*x + 1924. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aab. What is prob of sequence ba?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/72 and 36\/(-24) - 97\/(-32).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*s - 357 - 4401 = -152*s for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - f + 6, -5*d = 5*f + 45. Let b(a) = -a**3 - 4*a**2 + 6*a + 6. What is b(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2 and -50\/6681.\nAnswer: 13362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**17)\/(d\/d**30*d)*(d**(1\/19))**4 assuming d is positive.\nAnswer: d**(878\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29535000 rounded to the nearest 1000000?\nAnswer: 30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3399?\nAnswer: 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1173236 by -2.\nAnswer: -586618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1378*w - 375. Is k(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5460504 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 20, 2, 21, -1\/7, -39 in descending order.\nAnswer: 21, 20, 2, -1\/7, -3\/7, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74646 and 168896.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -0.5 (c) 18 (d) 2\/9 (e) -0.44 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 287?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhshs. What is prob of sequence hh?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k + 133. Calculate the smallest common multiple of 114 and b(-25).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*k**4 - 64*k - 2?\nAnswer: 348*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5 + sqrt(171)*-1 - (-5 + -1*sqrt(171)) - (-3 + sqrt(171)*-5 + sqrt(171) + -4))*-1)**2.\nAnswer: 336*sqrt(19) + 2932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07771*0.1513.\nAnswer: 0.011757523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ch when two letters picked without replacement from hhhcjhjhhhhjhhjjjj?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 40 = 6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -86\/85?\nAnswer: -86\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - x - 1. Let v(n) = 4*n**2 - 6*n - 6. Let s(p) = -6*o(p) + v(p). Let t(m) = -32*m**2. What is s(t(g))?\nAnswer: -2048*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s - 99*s**3 + 2*s + 105*s**3. Give x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -46. Suppose -3*t - 12 = 0, 3*t + r = j - 4*j. Let x = 1 - j. What is the highest common factor of x and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:20 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by (1 + 0)*(16 + -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5. Let s be x(-5). Let d = s - 29. Let v = -1 - d. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -52. Suppose 143 = -0*c + q*c. Calculate the greatest common divisor of c and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i**4 + 28. Let k(o) = -7*o**4 - 9. Suppose 0 = 7*p - 3*p + 28. Let f(b) = p*k(b) - 2*n(b). What is the first derivative of f(w) wrt w?\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*d + 25 + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*g + 3*o - 72, -39 = g - 5*o. Which is greater: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133364 is divided by 65706.\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least as big as -940.6056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 7*f**2 - 12*f + 5. Let m be r(5). What is the biggest value in -0.5, 2\/19, m?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f + 9. Let c(s) = 4*s - 4. Calculate 5*c(p) + 2*m(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11*u**2 - 1651*u + 8. Let l(i) = -15*i**2 + 1649*i - 10. What is -3*l(b) - 4*s(b)?\nAnswer: b**2 + 1657*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 2. Let o(n) = 4*n**2 - n. List the prime factors of o(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.241472s to milliseconds.\nAnswer: 3241.472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 7. Let v(n) = n**2 + n + 8. Let q(k) = -5*a(k) - 4*v(k). Let c be q(2). Is -1 - c - (0 + -41) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 1305207?\nAnswer: 2610414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 8*f**3\/3 + 109. Let h(a) = 12*a**2. Calculate n(h(t)).\nAnswer: 1152*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 323 = l, -q - 9*l + 103 = -4*l. What is the least common multiple of q and 90?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 6*k**2 + 2*k + 6. Let p be (-4 - -14)*4\/10. Let f = -26 - p. Let l = f - -24. Determine x(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 525 = 13*d + 17*d + 11*d for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -80. Suppose f = 5*u + 7. Solve h - 6 = -n, 1 = -2*h - u*n + 23 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + (-4 - 0) + (133 - 144)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8991062 and 7412.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-6) - (-10)\/15. Solve u + 0 = 2*n - g, -3*u + 2 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3476, 13924, 31346, 55742, 87112, 125456?\nAnswer: 170774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32272*n - 539242 wrt n.\nAnswer: 32272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - -1. Suppose -7*s = -s. Suppose -2*m = m + 12, -j + m + 6 = s. Solve j*y - v*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = 5*v, 6*j - 3*v + 18 = 2*j. Let l = -0.8 - -0.6. Which is the closest to -2? (a) l (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2102956, -2102945, -2102934, -2102923?\n\"Answer: 11*c - 2102967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -469, -2110, -4861, -8728, -13717, -19834, -27085?\nAnswer: -35476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -34.36*0.3\nAnswer: -10.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 277089997519\/1173590 + -1180523\/5. Let v = 322619895\/938872 - d. Let x = v - 342. Find the common denominator of -23\/20 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13)*2 + sqrt(13) + -1 + -5 + 0.\nAnswer: -4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 1\/57, -4\/19, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 7*i - 480 = 0. Let s be (345\/(-4))\/(-5)*4. Let z = i + s. What is the highest common factor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-345092)\/(-14790))\/11 + (-3)\/(-6). Let y = 6\/493 + u. Calculate the common denominator of y and 19\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1440\/11 + 131. What is the nearest to 2 in x, 0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v - 15. Let z be y(-10). Let i be (-10)\/(-25)*1*z. List the prime factors of (5 + i - -1) + -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 1. Let m(t) = -5*t**2 + 2*t - 2. What is -4*i(l) + m(l)?\nAnswer: -l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 51 = -5. What is the remainder when (-1*1)\/(5\/(-355)) is divided by 1*(-2)\/k + (-2100)\/(-168)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 138*t**2 + 285*t + 144.\nAnswer: -3*(t - 48)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5922655 to the nearest integer?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/26 + (-20)\/(-130). Let z = -593 - -844. Suppose l*w = -10, -3*w = 3*y - 2*y - z. What are the prime factors of y?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1217, 1215, 1213?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 3*l**2 + 4*l + 1. Let a be p(-4). Let c be (-3)\/(-24) - 28\/224. Let v(s) = 5 + c + 0 - a + s. Give v(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3 - (4 - -2)) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 + z**3\/6 + 13*z**2. Calculate s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005581 rounded to five dps?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1978, 2651, 3790, 5395, 7466?\n\"Answer: 233*g**2 - 26*g + 1771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 570 + -573. What is the nearest to -3 in -0.03, q, 1, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/(-320)*-2*(-8)\/(-6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 3*f + 15, 2*f + 30 = -13*j + 10*j. Let p(n) = 43*n**2 + 3*n + 53. Is p(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -29, 20, 4\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - q + 2. Let v be m(0). Let n be 6 + (4\/v)\/2. What is the units digit of (n\/(-5))\/(2\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s - 2*s + 2*s + (4 + 1 - 3)*(-2*s + 1 - 1) + 2 - 2 - 3*s + 1.\nAnswer: -10*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5 + 14644*j**4 - 21426004*j**3 - 235663548960*j**2 - 258979499265600*j = 0 for j.\nAnswer: -1770, 0, 9092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(6\/5)*(u*u**1)**(-9) assuming u is positive.\nAnswer: u**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996915 to the power of 1\/2, to the nearest integer?\nAnswer: 1731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/27)*j**17)**(7\/9) assuming j is positive.\nAnswer: j**(3227\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 8) to base 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 11013, 3, -9 in decreasing order.\nAnswer: 11013, 3, 2, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 - 68. Solve -4*v - 16 = 4*d, -v + 4 = -z*v + d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + -2001021112110212?\nAnswer: -2001021112110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/10 - w**3\/2 - w. Let j(l) = l**3 + 2*l. Let m = 66 + -69. Calculate m*j(b) - 2*t(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/11, -359591?\nAnswer: -359591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymmm when four letters picked without replacement from {m: 10, y: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/((-2)\/(-30)). Let c = 3 - x. Let z = 4 + c. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 19*r**3 + 4*r**3 + 13*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 32*p - 14523*p**2 + 14525*p**2 - 6*p + 43 + 37 = 0.\nAnswer: -8, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2006.7 and 1.\nAnswer: 2006.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - 206*y - 2851. What is n(219)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775082 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1*sqrt(363) + 1)*3 + 3 + (0 + sqrt(363))*-4 + sqrt(363))**2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*g - 39*g - 35*g + 181 - 6*g to the form b*g + f and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/187 - -287\/18700. Let c(y) be the third derivative of 1\/840*y**8 + 0*y + 0*y**4 + 0*y**7 + 0 + 0*y**3 - 1\/75*y**5 - j*y**6 - 8*y**2. Factor c(i).\nAnswer: 2*i**2*(i - 2)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -184*m + 106*m + 108*m. Let w(f) = -3*f**2. What is w(v(k))?\nAnswer: -2700*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w + 4. Let v(x) = 2*x**2 + 6*x + 15. Let j(d) = i(d) - v(d). What is j(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3 + 23 = 0. Let m be -1 + 0 - -6 - 2. What is the second derivative of 2*f**2 - m*f + w*f - f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562\/14 + ((-60)\/175)\/(-2 + 322\/140).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-1800)*-60)\/((-29)\/3)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 = -4*o - 84, -30 = o - 4*b. Suppose -j = -3*v - 57, -4*j = -2*v - 2*v - 76. Is v greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 3*j**2 + j**3 + ((11*j - 3*j - j)*(-j + 0*j - 2*j) + 0*j**2 + 2*j**2 - j**2)*(-2 + 9 + 0)*(1 + j - 1)*(-1 + 3 - 1).\nAnswer: -139*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5800269?\nAnswer: 3, 1933423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, 0, -1995 in decreasing order.\nAnswer: 1, 0, -11, -1995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwjj. Give prob of sequence wj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*l - 10 - 7, 94*l - 1 = 95*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/k**(-3))**(5\/8)\/((k\/(k*k**3))\/k*k*k\/k**(-4\/7)*(k*k**(1\/4)\/k*k)**(-2\/5)) assuming k is positive.\nAnswer: k**(-51\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.21442 rounded to one decimal place?\nAnswer: 332.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-3)*(19 + -1). What is the second derivative of -i*w**3 + 4 + 3*w - 4 wrt w?\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, s: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-2)*28\/35. Let l(s) = 351*s - 1. Is l(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -78. Let b = 27 + y. Let k be 4 - (-1 + 3) - -1. Solve -6*f + k*f - b = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475) + 0 + -1 + (sqrt(475) - (0 + sqrt(475))*1 - sqrt(475)) + -6*-1*(sqrt(475) + -1) + -4 + 2.\nAnswer: -9 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.369 + 11.3. Let h = -0.069 - i. Put h, 2, 5, -5\/2 in increasing order.\nAnswer: -5\/2, h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16eb9a (base 16) to base 4.\nAnswer: -11232232122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*h + 64*h - q + 37 = 0, 4*h - 2*q - 22 = 0. Solve 4*w + h = 2*y, 21*y + 7 = 25*y - 5*w for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 648 + 12*b**3 - 4*b + 660 - 1309 - 14*b**2 in the form d + p*b + h*b**2 + l*b**3 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 2*t**3 + 9*t**3 - 4*t**2.\nAnswer: 7*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -330 + 386 + -1 + -31 + 13\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 - 2701*v**4 - 13486*v**3 - 16172*v**2 + 10792*v + 21568.\nAnswer: -(v - 1)*(v + 2)**3*(v + 2696)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68770?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16938)\/(-50)*(-15)\/116. Let i = 8\/145 + g. Let f = i + 43. Which is the third smallest value? (a) 4 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99*a**4 + 384.\nAnswer: 396*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -718 take away -0.065285?\nAnswer: -717.934715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (56524\/(-156))\/((-2)\/60)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 10, a: 10}. What is prob of picking 4 a?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r - 2. Let v(p) = -p**3 + 6*p**2 - p + 5. Let w be v(6). Let h be c(w). Let k be h\/(-6) + (-39)\/6. Let n(m) = m**2 + 5*m - 2. What is n(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v - 21*v - 32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 6\/11*k**2 + 4\/11*k - 8\/11 - 1\/11*k**3 - 1\/11*k**4 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617133\/8 at most 77141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Suppose -5*x + 2*m + 2 = m, -o*m - 8 = -4*x. Let h = -5630 - -5629. Which is the closest to h? (a) x (b) 2\/3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + l + 1249, -2*c - 2*c = 4*l - 1224. Suppose c = 27*y - 9814. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4988.925 meters to millimeters.\nAnswer: 4988925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 118. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 158\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let w(j) be the second derivative of 0*j**2 - 6*j + 38\/3*j**3 + 0. Determine x(w(a)).\nAnswer: 76*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.706 - -2.294. Which is the closest to -4? (a) 0.3 (b) -0.12 (c) l (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u + 1. Let v(w) = 2*w - 1. Let p = 1272 + -1267. What is p*v(g) + 3*d(g)?\nAnswer: -5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-76 - 23 + 33)*((4*c**2 - 6*c**2 - 5*c**2)*(3 - 1 + 0) + (-5 + 5 - 2*c)*(2*c - 3*c + 0*c)) to the form p*c**2 + o*c + u and give p.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 113 in 0, 3, 0.1, -2\/23?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 425054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (3 + sqrt(720) + (sqrt(720) + -1)*-4 + 5)**2)*-4.\nAnswer: -26476 + 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 5*c**2 - 18*c. Let q(a) = -6*a**3 - 8*a**2 + 26*a. Give -7*d(n) - 5*q(n).\nAnswer: 2*n**3 + 5*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 31 = -2*x + 43, -4*x = 2*b. Solve -q + x = -2*y - 4*q, 3*q - 1 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477 is divided by 122.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7\/l)\/(l\/(l\/(l*l**3)))*(l**(-17))**29 assuming l is positive.\nAnswer: l**(-491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/141*-57 + 12\/3. Let f be 9\/126*(5 - 1). Sort p, 5, 4, f in ascending order.\nAnswer: p, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1460716320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-1 - 1) + -4 + -1. Sort b, -48, -3 in descending order.\nAnswer: -3, b, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144 by 72.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -489, -990, -1813, -2952, -4401, -6154, -8205?\nAnswer: -10548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j + 0*j**3 - j**3)*(-2 + 2 + 1 - 3*j**2).\nAnswer: 3*j**5 + 5*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 36 = -3*r + r, 0 = -3*r + 4*u + 53. What is the remainder when 35 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 2*f + 3. Let m be t(-3). Let r(l) = -2*l**2 - l + 3. Let j be r(0). Suppose 14*n + j = 31. Solve 0 = -2*k + n*s + 6, m = 3*k + 2*s - 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/56*-2)\/((-7)\/(-28)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = b + 42, 2*b - 70 = 5*u. Let q be 8\/20*(-5)\/u. Let p = -0.463 + 0.563. Which is smaller: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111011 (base 5) in base 4?\nAnswer: -10300302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - u**2 - 2*u - 2 - 5*u. Let s be x(-3). Let q = 7 - s. Solve 5*f - 5 - 10 = q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(14))\/sqrt(2) - (sqrt(112) - (sqrt(112) - (0 + sqrt(112)))) - (sqrt(847) + 1 + -3 - 4*(sqrt(847) + 0)**2).\nAnswer: -21*sqrt(7) + 3390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 281196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 7*o - 3*o**3 - 2 - o**3 + 18*o - 9*o + 3*o**3. Determine m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -762448.87 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100110001111000001011 (base 2) in base 8?\nAnswer: 24617013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 858*q**3*v**2 + 144*q**3*v + 18*q*v**2 - 4*q*v + 2 wrt q?\nAnswer: 5148*q*v**2 + 864*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1088) - -2*sqrt(1088)) + 1 + -1)*-4)**2.\nAnswer: 626688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + a**2 + a**2 - a**3. Let n(u) = 17*u**3 - 3*u**2. Let q(i) = -5*l(i) - n(i). Find the third derivative of q(b) wrt b.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-720)\/(-710)) - (-13)\/(-104)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -1. What is the units digit of a\/2 - (-2)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -409\/11 bigger than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001178787 to seven dps.\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12962*o - 426440 - 7732 = -1841*o + 9918 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/4, -2\/45, -6408.8?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 3. Let f(h) = -1303087*h. What is r(f(q))?\nAnswer: -1698035729569*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 44 (b) -1\/4 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28546?\nAnswer: 2, 7, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -10*y - 57. Suppose 0 = -4*d + 3*p - 28, 2*d = -0*d - 4*p + 8. Sort d, y, -2 in decreasing order.\nAnswer: -2, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -33*i**2 - 22*i + 275. Let t(p) = 12*p**2 + 8*p - 91. What is -3*k(n) - 8*t(n)?\nAnswer: 3*n**2 + 2*n - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 26*n + 41. Let w(i) = 13*i + 20. Let x(a) = -2*d(a) + 5*w(a). Differentiate x(s) with respect to s.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-4 - -12) + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, -39, -29, -5, 39, 109, 211, 351?\n\"Answer: s**3 - 2*s**2 + s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 - 3*a**3 + a**3)*(-3 + 1 - 3) - 38*a**3 + 7*a**3 - 14*a**3.\nAnswer: -30*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 8*c + 2. Calculate the lowest common multiple of 1 and p(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.682 times -0.4\nAnswer: -11.8728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -510, -2118, -4822, -8622, -13518, -19510, -26598?\nAnswer: -34782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27511169 a multiple of 2297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2657 is divided by 190.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1.07*-170.1\nAnswer: 182.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 7*l - d + 1 = 0, l + 5*d = 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -174\/11 (b) -22 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j**2 - 79*j - 9. Suppose 3 - 9 = 3*k. What is the remainder when v(-7) is divided by (-14)\/(0 + 1 + k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 + m**3\/3 + 3*m**2\/2 + 2*m + 1. Let k = 41 - 43. What is r(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 107682\nAnswer: -107695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943.\nAnswer: 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r. Let o(z) = -z. Let u(v) = -42*v - 32*v + 82*v. Suppose l + 29 = 3*p, -4*l - 4*p = -7*l - 62. Let y(c) = l*o(c) - 2*u(c). Give y(m(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.1, 4 in increasing order.\nAnswer: -0.1, 0.06, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 - 744*i + 2900. Give d(182).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 130*y**3 + 724*y**3 + 215*y**3 + 3*y + 15*y**2 + 321*y**3.\nAnswer: 1130*y**3 + 15*y**2 + 3*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 563200 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 0. Let p = -0.1511 - -0.4511. What is the nearest to k in -3, 1\/6, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1052, 2100, 3138, 4160, 5160, 6132?\nAnswer: 7070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.8 + -10. What is the closest to -1 in 1, 1\/6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r**(1\/2))\/(r*r**0*r*r)**(-6\/7) assuming r is positive.\nAnswer: r**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/660 and 95\/66.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - a**3 + 0 + 10659*a - 18608*a + 7*a**3 + 7949*a.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*l + 108 = 121*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 533910 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, w: 8, o: 2, j: 1, r: 4}. What is prob of sequence qj?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - w - 7 = 0, 5*a - 13 = -2*w + 5*w. Let v = 5322\/5 + -1062. Determine x, given that 0 + 3\/5*x**4 - v*x - 18\/5*x**3 + 27\/5*x**a = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 631 and 5542073?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 122 = -h - 114, 8*d + 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 20*s**2 - 19*s + 8. Let d(u) = u**2 + u. Let a(g) = 5*d(g) + o(g). Let x be a(-14). Solve -n = x*n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.091 and 21.\nAnswer: 22.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 6:56 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 226*o**2 - 17*o - 2*o**3 + 18*o + 2 - 392*o**2 - 154*o**2 as q*o + f*o**2 + t + l*o**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**3 - 82*d**2 + 44*d**2 + 38*d**2. Suppose -3*f + 129 = 39. Let m be 6\/10 - (-12)\/f. Calculate y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 671224, 671267, 671338, 671437, 671564, 671719, 671902?\nAnswer: 672113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 32*t = 3*v - 23, 2*t - 30 = -6*v + 22 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*q*r*t + 24*q*r + 2*q + 3*r*t - r + t wrt t.\nAnswer: -27*q*r + 3*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.3 - 16. Which is the closest to -1? (a) 4 (b) -0.4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -7\/2*r**2 + 4*r + 1\/3*r**3 + 0. Let u be l(8). What is the greatest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y - 7. Let o(v) = v**3 - 6*v**2 + 8*v - 10. Let j be o(5). Give b(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-22)*k\/(k\/(k**(-7)\/k*k))*k*(k\/k**(-14))**4 assuming k is positive.\nAnswer: k**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 482.27 + 2856255.\nAnswer: 2856737.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6)\/((-18)\/54). Is 82 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5663 (base 8) to base 7.\nAnswer: 11506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1210 - 1213. What is the biggest value in m, -21, 0.01, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*f + 16 = 0. Suppose -5*i - 17 - f = 0. Let g(o) = 0*o - 476 - o + 481. What is g(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, -3, 1903, 1, -1 in descending order.\nAnswer: 1903, 5, 2, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 763.868.\nAnswer: 762.868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16690, 33333, 49974, 66613, 83250, 99885, 116518?\n\"Answer: -u**2 + 16646*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24085536 and -2.\nAnswer: 48171072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -47. Let d be 1 + (s - -2) - (13 - 10). What is the hundreds digit of -4 + 105 - 3 - d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -87.5 + 89.5. Sort s, -2\/5, -80, -0.2 in increasing order.\nAnswer: -80, -2\/5, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = i - 954 + 969, -5*i - 61 = 3*x for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*j + 7*j. Let c be (-3966)\/76 + (-4 - j). Let f = -260\/19 - c. What is the common denominator of f and 97\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-7)\/14*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2551 + -122?\nAnswer: -3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17118, -18951, -20784?\nAnswer: -22617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6175\/20 - (-4)\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.40806 millilitres to litres.\nAnswer: 0.08640806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.1707t to kilograms.\nAnswer: 77170.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -753 - -756. Solve 5*h = -10*x + 5*x + 10, 0 = -x - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15736*x + 2564981. Determine f(-163).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1.3, 2\/9, 3, -10?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3810 (base 13) to base 12.\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - 4*h**2 - h + 4. Let l be i(4). Suppose -4*u - q + 5 = -6, l = 5*q - 15. Determine a so that -1\/2 - 3\/2*a - 3\/2*a**u - 1\/2*a**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*y - 44*y + 208*y - 111*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10080 divided by -6\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -325, -488, -651, -814, -977?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-21) - (-2550)\/(-630).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 50*v - 47*v + 122*v - 41*v in the form s*v + t and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 8*c + 13. Let z be -2 + (7 - 3) - 10. Does 7 divide r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - a - 42, -3*a + 70 = 5*i - 5*a. Let p = i + -96\/7. What is the closest to 2\/3 in -14, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*u + 2*z - 394 = 62, 4*u + 32 + 64 = 2*z for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -646680 (base 9) to base 6.\nAnswer: -12132330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -97 + 165. What is the remainder when i is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 24*d + 65 = 0. Let n = d - -18. Suppose n*f + f = 2940. What is f rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.5 + 8.3. Let x = t + 38.2. Let s = x - 30.9. Which is the smallest value? (a) 4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -235*m*r + 59*m - 24*r*y**3 + r + 842*y**3 wrt r.\nAnswer: -235*m - 24*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 20 = 0. Suppose 0 = r - w + 1268, d*r - 4*w = -5371 - 971. What is r rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3 = 4*v, 5*v + 9 = 205*l - 204*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001185331 rounded to seven decimal places?\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-11)\/(-4). Let c = 17\/52 - 1\/13. Determine i, given that -1\/2*i**2 + 0 + c*i + 1\/4*i**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - j + 7390, 7382 = 19*v - 15*v + 5*j. What is the smallest common multiple of v and 168?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:28 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1722, 1974, 2410, 3030, 3834, 4822, 5994?\n\"Answer: 92*w**2 - 24*w + 1654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v + 546*v - 1079*v + 72*v.\nAnswer: -411*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.93. Let q = 1.93 - k. Let r = 7.3 + -7. Which is the second smallest value? (a) -3 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6361, 13249, 20135, 27019?\nAnswer: 33901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -438007*a**3 - 19*a + 437995*a**3 - 1 - 4 as w*a**3 + l*a + b + i*a**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**3 - j**2 + 16*j**3 + 5*j**3 + 2*j**4 - 1 - 4*j**3 to the form a*j**3 + t*j + q + c*j**4 + u*j**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hzjv when four letters picked without replacement from {f: 1, v: 1, h: 3, z: 4, j: 2, d: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxxxxx. What is prob of sequence xxxf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -29. Suppose 0 = -h*l - 2*x + 19, 0*x = -3*l - x + 11. Solve l*y = -2*y + 3*c - 25, 15 = 3*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-56)\/98)\/(4\/(-14)). Let z(f) = 25*f - 25*f + f**n. Let p(v) = 17*v - 1. Give z(p(c)).\nAnswer: 289*c**2 - 34*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28475729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102259, 204515, 306783, 409063, 511355?\nAnswer: 613659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.32, 27, -0.02, -1.3 in descending order.\nAnswer: 27, -0.02, -0.32, -0.5, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 15*y - 22. Let o(n) = -45*n + 65. Let z(v) = 10*l(v) + 3*o(v). What is the hundreds digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-7 + 13 + 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, r: 4, y: 2}. Give prob of sequence yo.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31480670 divided by 1?\nAnswer: 31480670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1423 divided by -1\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 3*b - 6. Let l be q(5). Suppose 4*u = 4*v - 8, u - l = -2*v - 4*u. What is the remainder when (-8)\/(1\/(3\/(-6))) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - s + 2*s)*(0 + 0 - 1)*(1 - 5*s - 1).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/72 and 65\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -513*x**2*y**4 + x**2*y**2 - 5*x**2 + x*y - 9027*y**4 + 34*y**2 + 77*y wrt y.\nAnswer: -12312*x**2*y - 216648*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjfc when four letters picked without replacement from {f: 1, h: 1, p: 4, c: 5, j: 3}.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11463 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 12*n**2 + 11*n + 4. Let s be (3 + -2)\/((-5)\/(-55)). Let o be c(s). Solve o*b = -20, m = 4*m + 5*b + 34 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*14\/56*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 754 by -4.\nAnswer: -377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -514880*k**2 - k + 4. Let a be y(4). Let v = a - -14438080. What is v rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/3 and 6 + 16\/(-4) + 41.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333 and 216567?\nAnswer: 8012979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 69, 39, 1\/10, 0, 9 in ascending order.\nAnswer: 0, 1\/10, 9, 39, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (85\/(-50))\/(-17)*10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -4 - 0) + 0. Suppose -4*y - 81 = -5*q, v = -3*y + 4*q - 17 - 45. Let b = y + 36. What is the lowest common multiple of 10 and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15.2 in 238\/3, 0.24, -5, -2\/9, -1\/8?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -87*5900\nAnswer: -513300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.98 - -8.12. Let p = l - 12.1. Let c = 0.3 + -0.3. What is the closest to 0 in -2, p, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o - 3*t = 39, 3*o = 2*t + 38. What is the least common multiple of 8 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.33 - -1.05. Round n to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 432, 847, 1262, 1677?\nAnswer: 2092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 480611876 rounded to the nearest one million?\nAnswer: 481000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -3738?\nAnswer: -373a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 49174 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -30. Let v = 19 + a. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -528*y - 1047. Give b(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = u - 2, 2*u + 0*u + 11 = 5*s. What is the hundreds digit of u\/(-6) - 8151\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-133)*(104650\/26)\/25?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let m(c) be the second derivative of 5\/12*c**4 - 5*c + 0*c**3 + 0*c**2 + 0. Determine r(m(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 0*v**4 - 18\/5*v**5 + 9 - 24*v + 0*v**3 + 0*v**2. Differentiate y(o) with respect to o.\nAnswer: -72*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100661540 and 350.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -2.07812.\nAnswer: -6.23436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10618174 = 10618175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 52 = 27 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1115 - -190. List the prime factors of r.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-129)\/54 - (-136)\/153. Let s = -3 + 5. What is the closest to -5 in u, -0.4, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 21 = -6*p + 4*p, -4*q + 21 = 3*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 438*k**2 - 9198*k - 404838.\nAnswer: -2*(k - 189)*(k - 51)*(k + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 - 123 - 93 = 11*p for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26 + -562?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 7*v. Let m be k(7). Suppose -5*o + 8*o - 9 = m. Solve 3*s + 3 = -2*i, i + 3 = -0*s - o*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309704 by -77426.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a decade in years?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 8*l - 7. Let x be t(4). Suppose 27*o - 4 = x*o. Let z(n) = -3*n**2 + 3*n - 1. Determine z(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/4 + 30*b**2 - 2007*b\/4 - 7128.\nAnswer: -(b - 96)*(b - 33)*(b + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*p + 17 + 1, -4*p + 14 = d. What is the second biggest value in -0.2, 4, d, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 + 91*v - 53. Determine t(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + -4 + (-8 - -20).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/20 - (-2)\/5. Suppose 0*z + z + 13 = 3*o, o + 5*z + 1 = h. Suppose -5*i - o*k + 35 + 36 = 0, 2*k - 19 = -i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18925 + 36336. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6830*g. Let z(f) = -10*f**2 + 4*f. Determine z(i(c)).\nAnswer: -466489000*c**2 - 27320*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/12 (b) 3 (c) -5 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 + 3*m. Let d be u(7). Let h be ((-2)\/70)\/(d\/147). Let l = 17\/60 - h. Which is the nearest to 4? (a) l (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 - 42?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64.5 - -79. Let l = p - -37.5. Let z = 51.99939 - l. Round z to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 39*h**2 + 5*h + 3. What is the remainder when 145 is divided by x(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2114)\/(-98) + 8\/(-14). Sort a, -0.5, 0 in descending order.\nAnswer: a, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d817 (base 16) to base 8.\nAnswer: 354027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/39 - 31\/156. Let q = 4 - -1. What is the nearest to -0.1 in -5, g, q?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -119*g**3 + 68*g**2 + 70*g - 1. What is the lowest common multiple of 40 and y(-1)?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -4 (b) 7 (c) -160 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4374710429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/40 and 49\/15830.\nAnswer: 63320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97263.8 decades to months.\nAnswer: 11671656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 280*i**2 + 4420*i + 13520.\nAnswer: 5*(i + 4)*(i + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - (-14 - -3)) + -1886 + 1840?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250 + 506 = 2*q + 250 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(68) + -2*sqrt(68)) - ((sqrt(833) - -2*sqrt(833)) + 2)) + -1)**2.\nAnswer: 66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**3 - 8*c**2 - 20*c - 12. Let s(p) = 2*p**3 + 5*p**2 + 13*p + 8. Let x(t) = -5*k(t) - 8*s(t). Let l(a) = -5*a - 5. Calculate 4*l(n) - 5*x(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 6:29 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let k be (0 + 1)*2\/(-4). What is the closest to -1 in 0.5, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 e when two letters picked without replacement from {s: 1, r: 10, p: 1, e: 2, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 549 (b) 496 (c) -3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -50\/41 + 332\/205. Is 0.78 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*f + 471 - 970 = -1777 - 2379 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/14*(3 + 15110)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -106, -87, -64, -37, -6?\n\"Answer: 2*s**2 + 13*s - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 2:50 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z + 2*z)*(z**4 - 4*z**2 + 4*z**2) + 14*z**5 + 21*z**5 - 18*z**5 - 3 + 3 + 3*z**5.\nAnswer: 25*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1917155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9211492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4206, 4208, 4216, 4230?\nAnswer: 4250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 - 123 - 6*f + 13*f - 120*f.\nAnswer: -113*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1001475*q**3 + 7*q - 38958425 wrt q?\nAnswer: -3004425*q**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -240 - -153. Let d be (-1)\/(5 + n\/6). Suppose -6\/19 + 8\/19*o - d*o**2 = 0. Calculate o.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1038573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 5. Let u(k) = 3. Let j(p) = -3*t(p) - 5*u(p). Let w(c) = -20*c + 35*c - 18*c. Give j(w(v)).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/5)\/(16\/(-100)). Sort 5, -2\/13, q in increasing order.\nAnswer: q, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 22406.\nAnswer: 19\/22406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/120 - c**5\/12 - 3*c**4\/8 + c**3 - 363*c**2. What is f(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -356 and -0.1.\nAnswer: -356.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -3, -1, -22, 5, -4, -13.\nAnswer: -33, -22, -13, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(18)\/sqrt(2))\/((sqrt(96)\/sqrt(4))\/sqrt(8)))**2 + (sqrt(300) + -1 + 2*sqrt(300) - (sqrt(300) - (2*sqrt(300) + 1 + sqrt(300))))**2.\nAnswer: 7608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - 2*w + (0 + w + 0)*(-1 + 1 - 2) - w + 2*w + 2*w + (0 + 1 + 1)*(4*w + 0*w - 2*w))*(-3059*w + 595 - 33589*w - 595).\nAnswer: -109944*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 0*y - 3\/5*y**3 + 0*y**2 - 1\/5*y**4 + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4696367\/35017587 - -2\/134167. Calculate the common denominator of a and -62\/1885.\nAnswer: 16965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 26*x**3 - 3*x**2 - 15*x + 22. Let q be n(6). Round q to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, v: 3, a: 2, b: 1, x: 3}. Give prob of sequence xv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 0.3, 44, -0.06, 0.08, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 17 (b) 0.1 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:28 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 50\/13, 2, -2.08, 0.3, -4 in decreasing order.\nAnswer: 50\/13, 2, 0.3, -2.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-26)*w)**(-8\/17)*w*w**(2\/11)*w\/(w**(-2\/53)*w)*w assuming w is positive.\nAnswer: w**(-108594\/9911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 26 - (48 - 54)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/3 - 382*i**3\/3 - 50*i + 10. Let u(s) = 0. Calculate s.\nAnswer: 0, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38*-17*48\/(-1632)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000614553 rounded to seven decimal places?\nAnswer: 0.0000615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 13. Suppose 2 = 4*n - 3*p - 6, -3*n = -3*p - i. Find the common denominator of (267\/60)\/(3 - n) and 85\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -75\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 140*t + 540. Let x be g(-10). Let q = -783 - x. Suppose 3*r - 26 = 37. What is the remainder when q is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 27*k**2 + 28*k + 13. Suppose -26*u - 560 = -6*u. Calculate the remainder when a(u) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 8*i + 40 = -5*h, -4*h = -4*i - 40. Find the common denominator of 2\/i + (-2132)\/65 and 15\/11*54\/30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = -13*s + 18 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from {v: 4, f: 2, n: 5}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 2*o**2 - 57. Let w(m) be the second derivative of m**4\/4 + 3*m. What is f(w(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54271462.\nAnswer: 2, 7, 149, 26017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*y - 56826 = 0, 3*h + 98*y = 103*y + 42567. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-3))\/(360\/30). Let v = k + 43\/126. Suppose 2\/7*d**3 + 2\/7*d**2 - v - 2\/7*d = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 136 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22153, -44313, -66473, -88633, -110793, -132953?\nAnswer: -155113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4650776 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -8343447?\nAnswer: -8343447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*y**3 + 512*y**3 + 323*y**2 - 325*y**2 to m*y**2 + r*y + c*y**3 + x and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1005?\nAnswer: 1005.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 9) to base 14\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694353756.\nAnswer: 2, 3, 1031, 56123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjh. Give prob of sequence hj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 194, 316, 282, 14, -566, -1536?\n\"Answer: -13*p**3 + 213*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -p - 25. Suppose 4*k - 3 = p. What is the third derivative of -8*j**3 + 2*j**2 + 42*j - 42*j + 5*j**k wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43792 divided by 952.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137092*k**3*l**2 - k**3*l - 5*k**3 - 3*k*l - 203 wrt l?\nAnswer: 274184*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 8. Let m be h(2). Let j be (-14)\/m - 3\/(-6). Solve 0*x + 5*x + 21 = -2*a, j*a + 12 = -4*x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 72 = -3*t. Calculate the remainder when 106 is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 - 3*m - 6. Let o be q(5). Suppose 0 = -4*x, -o*v + 5*v + 2*x = -10. Let u be (-34250)\/((v\/(-16))\/(-5)). Round u to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/161 + 14\/(-161). Let j(n) = 4*n - 6 + 6*n - 8*n + c + 3*n. Determine j(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 618 + -621. Let o = 0.3 - -0.2. Put 0.3, v, o in increasing order.\nAnswer: v, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -19, -8, 3, -23, 4, -1 in increasing order.\nAnswer: -23, -19, -8, -1, 3, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -11 + 21. What is the closest to w in -0.04, 0, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 25 = i - 5*q, -4*q + 20 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 27 - 11. Is 2\/h + 6545\/44 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4578848 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1007192140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 + -127. Solve 3*o = c*o - 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2 - 3*y + 6. Let s(o) = -2*o. Let h(k) = -6*k**2 + 14*k - 5. Let d(j) = -h(j) - 6*s(j). Calculate -4*d(m) + 3*w(m).\nAnswer: -3*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/5)\/w**6*((w\/((w\/w**(1\/3))\/w)*w)\/w)**29 assuming w is positive.\nAnswer: w**(499\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 72)*694\/4164.\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/13 - -178\/117. Let -g*x**3 + 4\/9*x - 2\/9 + 0*x**2 + 2\/9*x**4 = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2687*p - 1166. Is g(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r - 10. Let l be n(-7). Let j(x) = x - l*x + x. Let v(f) be the second derivative of 2*f**3 - 2*f - 60. What is v(j(b))?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 341828, 1367295, 3076388, 5469089, 8545380, 12305243?\nAnswer: 16748660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3\/5, -17, -2728?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 37. Suppose -127*q = -117*q - 840. What is the greatest common factor of q and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 627 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v - 2. Let j be m(2). Let t be 4\/42*(3 - -3). Which is smaller: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2 + (-1 + 0 - 1)*(2 - 4 + 3) - 3 + 1 + 3)*(-2*m + 2*m + 3*m**2) + (-2 - 3 + 3)*(3*m - 3*m - 2*m**2).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -50449*l - 655840. Determine o(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98900939 to the power of 1\/3, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - k - 22 = 2*j - 16, 30 = -4*j + 13*k - 18*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76983713.\nAnswer: 1571, 49003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 6 + 4, 5*r - 1063 = h. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 6, h: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-7 - (-2 + -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:24 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45549949 to the nearest integer?\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 3. Let w be s(2). Suppose 0*m + n = -5*m - 2, 10 = -w*n. Suppose 0 = -2*x + 3*i - m*i + 21, x - 5 = -4*i. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(3) - sqrt(675)) + 2 + 1)**2 - ((sqrt(24)*1)\/sqrt(8) + 3)**2*-2).\nAnswer: -72*sqrt(3) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffxfxffxfxxf. Give prob of sequence ffx.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.7992 and -907.56582.\nAnswer: -904.76662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84.3 - -41.4. Let y = -36.5 + -4.5. Let d = i - y. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 4*f + 5. Let s be a(8). Suppose -6*i + 3*o - 177 = -11*i, -109 = -3*i + o. Which is greater: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -411\/82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 13*a = 16*a - 2784, 5*p = 4*a + 4640. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7320\/3510)\/(-61)*(-9)\/12.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -3*p. Suppose 3*o - 18 = 9. Suppose -21*v + o*v + 120 = 0. What is the least common multiple of p and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w\/(w*w**20))\/w)*w**42 assuming w is positive.\nAnswer: w**64","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:06 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29764461\/5 or -5952893?\nAnswer: -5952893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, 29, -10, 22, -29 in ascending order.\nAnswer: -29, -10, -2, -1, 4, 22, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/912228 and -63\/248?\nAnswer: 56558136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 - 5 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0578074 - -0.2578074. Let c = 4 - 7\/2. What is the second biggest value in n, -47, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -801 (base 15) in base 16?\nAnswer: -709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48327 divided by -1?\nAnswer: 48327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 78 + -73. Let z be (-569)\/v + 16\/(-80). Is (-2 + z)*(-5)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0861 times 241988\nAnswer: -20835.1668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 101, 224, 347, 470, 593?\n\"Answer: 123*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 9, 6, -0.1 in descending order.\nAnswer: 9, 6, 0.4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 9*q**4\/4 + q**3\/3 - 4*q - 4641. Let u(x) = 8*x**3 + x**2 - 3. What is 4*u(r) - 3*w(r)?\nAnswer: 5*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(8\/(-2)) - -15*(-20)\/(-30).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18*i**3 - 5*i**2 + 10*i - 9. What is the hundreds digit of c(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68217838 and 884.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + -1 - 1) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2053, 8072, 18091, 32110, 50129, 72148, 98167?\nAnswer: 128186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m - 124. Let i = m + 51. What is the remainder when i is divided by (1 - -7)*1 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1438 + 2442. Suppose 784 = -10*i + o. Suppose v = -4*v + 170. What is the remainder when v is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 6. Suppose f - 1 = -j. Which is the biggest value? (a) -1 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20a9bb5 (base 12) to base 11\nAnswer: -3552664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**4 + 72*a**3 - 546*a**2 + 1080*a + 1701 = 0?\nAnswer: -1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 1\/60*p**5 + 1\/120*p**6 + 0*p**4 + 0 + 3\/2*p**2 + 4*p + 5\/6*p**3. Let g(b) be the first derivative of f(b). Determine g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/6)*t*t**(1\/14))**48 assuming t is positive.\nAnswer: t**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*n + 8*n = -30, r = -n. Suppose 266 = -3*f + r*b + 2053, -4*f + 3*b = -2401. List the prime factors of f.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i)*(-15 + 7 - 7)*(3*i - 3*i + 4*i) + 0*i**2 + 2*i**2 + 4*i**2.\nAnswer: 126*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**20\/(u\/(u*u*u\/(u\/(u\/u**(-4))))))**27)**(-33))**(-2\/21) assuming u is positive.\nAnswer: u**(15444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 9*h = 15. Suppose 2*t = h*t. Let q = t - -4. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -700*d - 94 = -702*d. Suppose 182 = 2*q + 2*m, -3*m + 518 = 4*q + 158. Let k = q - d. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 m when four letters picked without replacement from {m: 1, w: 10, y: 2, z: 3, l: 3}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7 - -63.5.\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18)*-1)\/(1\/((-1296)\/(-24))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.6573 (b) 31 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 41*o**2 - 2*o - 2. Let u be d(-2). Let n = -69 + u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 2\/9 (c) -2\/9 (d) -36 (e) 5 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/((-2)\/(-6)). Let t(m) be the third derivative of 1\/12*m**4 - 3*m**2 - 1\/3*m**3 + 0*m + 0 + 1\/15*m**5 + 1\/120*m**6. What is t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -106\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -202222?\nAnswer: -202211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + 7 + -6 + 0 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.1 - -4.146. Let s = -0.546 + c. What is the smallest value in 4, -4, s, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 69*d + 923. Let c be b(51). Suppose -12 + 32 = 5*p. Suppose -z + p*f = 5*f, c*z = -2*f + 6. Solve -z*u + 9 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a. Let m(d) = -14714562*d**2. What is k(m(f))?\nAnswer: -73572810*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + g**2 + 3*g - 1. Let y be u(2). Suppose 5*l = 9 + y. Suppose -l*i + 119 = 9. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in -1\/3, 3, -2\/9, 0.5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 2*f**2 + 2*f - 1. Let j(s) = -270 + 3*s**2 + 129 + s**3 + 140 - 2*s**2 - 2*s**2. What is -c(n) + 2*j(n)?\nAnswer: n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.47725 and -0.2.\nAnswer: -17.67725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 divided by -5?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -281 at least -281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 16*j**2 - 36*j + 3. Suppose 6*f = -f + 126. What is the units digit of y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 + 2*f - 16)*(-1 + 1 - 2).\nAnswer: -4*f + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/4 + 4*j**3 - 9*j**2. Let u be z(-12). Let i = u - -43. Which is the nearest to -1\/5? (a) i (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (12 - -10) - -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 2*v)*(8*v**2 - 26 + 26) + 4*v**3 - v**3 - 2*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.141 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68135 is divided by 470?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 20 = -4*p - p, i + 5 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -91 divided by 13\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -199220?\nAnswer: 199221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8885.58 centuries to months.\nAnswer: 10662696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9 - 20) + 6*1. Let m(v) = -v + 12. Let a(w) = -w. Suppose -5*b + 2 = 12. Let o(p) = b*a(p) + m(p). Determine o(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/44*-20)\/((-190)\/1045)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 3*r + 2. Let w(h) = h + 1. Let j be w(6). Suppose -j = 5*t - 22. Let q be n(t). What is the greatest common divisor of 14 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35, -101, -185, -293, -431, -605, -821, -1085?\n\"Answer: -z**3 - 3*z**2 - 50*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 2. Let t be z(7). Suppose -t*w = o + 12, -5*o = -3*w - w + 2. Calculate the remainder when 47 is divided by -3 - -2 - 26\/o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17.9, 1\/2, -2, 5, 8\/11, -0.13 in descending order.\nAnswer: 5, 8\/11, 1\/2, -0.13, -2, -17.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/123786 and 8\/7?\nAnswer: 866502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 0*d**5 + 0*d**4 + 0*d**6 + 0 - 1\/6*d**3 + 0*d**2 - 1\/21*d**7 - 2*d. Find the second derivative of m(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1458)\/(-36) + -38)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5940)\/120 - 1\/6*-3 - -8.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from vaotaoapvvavaoao?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*m + 108, 3*m + 26 + 76 = 3*o. Let t = -16 + o. Solve -3*f + 0*f + t = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17453830 rounded to the nearest 10000?\nAnswer: 17450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 368384671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -2744, -3590, -4994, -6956, -9476, -12554, -16190?\nAnswer: -20384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 2 + -1*sqrt(1216))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26077, 26254, 26433, 26614?\nAnswer: 26797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86.53 - 86. Let m = 0.23 - q. Let o = -0.0526 + -0.0474. What is the closest to o in m, -3, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 - (-7 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-160)\/(-12)*12\/8. Let b(z) = -13 - 201*z - 8 + r. Let u(v) = 2*v. Determine b(u(h)).\nAnswer: -402*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -1\/4 (c) -29 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19*r)**4 assuming r is positive.\nAnswer: r**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1180*d + 11709. What is the thousands digit of x(29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Suppose -l*u + 195 = 4*n, -5*u - 4*n = -3*u - 78. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -22. Let v be 30\/3*d + 5. Solve 4*y - 5*b = v, 4*y + 20 = -y - 4*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 - 0. Suppose 112 - b = 5*t. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 865180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 305782 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27808643, 55617278, 83425913, 111234548, 139043183, 166851818?\nAnswer: 194660453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 18. Let o be t(7). Put o, 13, -2 in descending order.\nAnswer: 13, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -151.5. Which is the third smallest value? (a) -3\/4 (b) 8.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1266177?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 10. Let u(v) = v**3 + 1. Let h be u(-1). Calculate a(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10423*n**3 + 2852*n**2.\nAnswer: -62538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4737, -18941, -42615, -75759, -118373, -170457, -232011?\n\"Answer: -4735*y**2 + y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r + 21. Let f be q(-4). Solve -5*o = -0 - f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 9*z - 3. Let m be 1\/(-3) - 102\/(-9). Suppose 20 = h - m. Calculate the remainder when h is divided by j(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86909 rounded to two decimal places?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t. Let i(o) = 2*o + 5. Let y(d) = d + 1. Let p(n) = -i(n) + 5*y(n). Calculate p(u(j)).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r - 75 + 13*r - 83 + 158.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21615696 and 13320.\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -0.5, 4, 71, -1\/4, 1\/4.\nAnswer: -0.5, -1\/4, 1\/4, 1, 3, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 594*p**2 - 44139*p + 346950 = 0 for p.\nAnswer: -257, 9, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -4. Let s(t) = 196*t + 599. Calculate the remainder when s(-3) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let o(d) = -2*d - 12. Let y = 6 - 3. Let z(v) = y*n(v) + o(v). Is z(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j**2 + 14*j**2 - 6*j**2. Let w(f) = 35*f**2. Give w(n(s)).\nAnswer: 140*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7277*i - 148. Is t(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 5:19 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4115 and 0.021?\nAnswer: 4114.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 15) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -75. What is the least common multiple of 18 and b\/2*(-3 - -6)*-2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s. Let v(t) = -40*t. Suppose 14*h - 2*h = -192. Calculate h*j(g) - 3*v(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/153*6*(195\/(-30))\/13\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -157\/3648 and -151\/768.\nAnswer: 14592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 504850 and 19550?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 28*r - r**3 + 32*r + 2*r**4 as m*r**3 + v + n*r**2 + w*r**4 + q*r and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133\/1192 + -2\/149. What is the common denominator of w and (-14)\/12*(-830)\/70?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 8. Let o be y(-8). Suppose -m + 5 = -h + 3*m, o = 4*h - 2*m + 6. Let n(c) = -3*c - 1. Determine n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6 + 356\/12 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31992465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 724 + -759 + 2 + -1 + 1.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fidddddffddofddfddf. What is prob of sequence off?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*8*3\/(-6). Suppose 5*u - q - 20 = 0, 2*u - 4*q - 8 = -3*q. Is -4*(b - (-9)\/u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -13. Let m be (l - 26)\/(3*3). Let t = 4.97 + 0.03. What is the third biggest value in -5\/6, t, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.23 * 4.898\nAnswer: -1.12654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22, 186311, 0?\nAnswer: 186311","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ife when three letters picked without replacement from {e: 3, q: 2, s: 1, b: 2, i: 1, f: 10}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4118, -8300, -12590, -17030, -21662, -26528, -31670?\n\"Answer: -7*d**3 - 12*d**2 - 4097*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.15389 and 0.7.\nAnswer: 0.54611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 3, 217, 5388?\nAnswer: 5388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6463825 and 750.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 25 - 8. Let k(y) = u*y + y - 6*y. Let s(v) = -v**2 + 6*v + 6. Let a(h) = -h - 1. Let c(j) = 6*a(j) + s(j). Determine c(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 153, -11, -303, -765?\nAnswer: -1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t + 15 = d - 41*t, 2*d - 30 = 4*t. Calculate the smallest common multiple of 25 and d.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 32. Let x be (-10)\/75*-102 + i\/5. Suppose s = -2, -j + 4*s = -49 - 29. Calculate the highest common factor of j and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163\/684 - -2\/171. Let k = 16 - 49\/3. What is the second biggest value in k, 0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 120105?\nAnswer: -120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o**3 - 3*o**2 + 2*o + 7. Let b be 4\/(24\/45)*(-12)\/(-18). Let h(z) = -2*z + 13. Let q be h(b). List the prime factors of f(q).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3400 or -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/10 + 11\/5. Suppose 4*u = 2*s + g*u - 8, -u - 4 = 5*s. Suppose 4*w + 458 - 1518 = s. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238518 and 78426.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j - 150 = 158 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10055797783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 11*o**2 + 15*o + 7. Let f be u(-10). Let i = f + 78. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kthk when four letters picked without replacement from mktkjhx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -17*f**7\/7 + 2*f**6\/3 - 127*f**3 + 693. Find the third derivative of w(u) wrt u.\nAnswer: -2040*u**3 + 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5373896933 to the power of 1\/2, to the nearest integer?\nAnswer: 73307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 1, t: 3, k: 2, r: 3, q: 1}. What is prob of picking 1 f, 2 t, and 1 m?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 12:50 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 350?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:07 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 7. Let b = 4 + 1. Let g be j(b). Suppose o + 2 = 0, g*o - o - 26 = -2*r. Calculate the smallest common multiple of r and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 5:44 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:13 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 23 and 125460?\nAnswer: 125437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -2\/25, 0, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 + 29\/(29\/90). Calculate the highest common divisor of t and 98.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + b + 10*b - 2971*b**2 - 15838*b**2.\nAnswer: -18809*b**2 + 11*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -64, 2, -4 in decreasing order.\nAnswer: 4, 2, -4, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-810)\/(-360))\/((-6)\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 6. Suppose -4*m = p - 90. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 62574897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(sqrt(28)\/sqrt(4) + -4) + (sqrt(896)*-2)\/sqrt(2))**2.\nAnswer: -304*sqrt(7) + 2591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let x(a) = -a. Let o(f) = 3*f - 2. Let d(u) = -o(u) - 4*x(u). Let w be d(s). What is the closest to w in 2\/13, 2, 2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 5*a**4\/12 - 2*a**3\/3 - 3*a**2. Let o be b(2). Calculate the greatest common divisor of o and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q - 59. Let a be u(27). What is the greatest common factor of a and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07146 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9401.916 centimeters?\nAnswer: 0.09401916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 31*i**4\/24 + 62*i**3 + 3*i**2 + 17*i. Let d be y(-12). Which is greater: -65 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 62*n**3 + n**2 + n - 2. Give w(1).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 2*m + 9, -5*m - 8 = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 5, q: 5}. What is prob of sequence sssq?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12100202010020 (base 3) in base 9?\nAnswer: -5322106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-32))\/(2\/(-560)). What is the highest common factor of 20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + sqrt(19)))**2 + sqrt(19) + (sqrt(114)*-4)\/sqrt(6).\nAnswer: -57*sqrt(19) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*o = 0, 4*x = -0*o - 5*o - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:44 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 4*z**2 + 7*z - 6. Let k be g(5). Let p(l) = 6*l**2 + l**2 - l**3 - 3*l**2. Let h be p(k). Solve 4 = -h*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2559784*f**5 + f**3 + 15560066*f wrt f.\nAnswer: -51195680*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 394031, 394033, 394023, 393995, 393943, 393861, 393743?\n\"Answer: -r**3 + 9*r + 394023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2645*m**5 - 17459*m**4 - 969*m**2 + 12591*m - 1?\nAnswer: 158700*m**2 - 419016*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.656 - 1.654. What is a rounded to 1 decimal place?\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/3, 29, 5, -0.5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14814 and 266652.\nAnswer: 266652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-128)\/(-66))\/(10\/60). Which is greater: 0.1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from kkjjkkkkkjj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 7:10 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3517 less than -819506512?\nAnswer: -819506511.6483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 19*x**3 - 2*x**2 + 8*x - 394. Let g(r) = -75*r**3 + 9*r**2 - 33*r + 1572. Let a(o) = 2*g(o) + 9*q(o). Differentiate a(k) with respect to k.\nAnswer: 63*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46140122 divided by 1.\nAnswer: -46140122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32052 - 32049. Let t(f) = -19*f - 4. Let j(k) = 10*k + 2. What is s*t(m) + 5*j(m)?\nAnswer: -7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21007*v - 20995*v + 228 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 0.00095646.\nAnswer: 0.09904354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 592199147 divided by 6653923?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/11*2\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 11:23 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3 + 2) - -3. Suppose 0 = u*z + z. Suppose -j - f = -0*j + 1, j - 2*f - 5 = z. Sort 5, -3, j in increasing order.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.13 - -0.87. Put 2\/13, -0.4, 0.11, v in descending order.\nAnswer: v, 2\/13, 0.11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - f + 2. Let l be y(-2). Suppose 7 = -3*v + 13. Suppose 0 = -4*h - v*h. Solve h = b + b + l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 8*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 466902, 466901, 466900, 466899, 466898, 466897?\n\"Answer: -c + 466903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-1680))\/(14\/385).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**2*w**3 - 112*c**2 + 45*c + 24*w**3 + 143*w**2 wrt w?\nAnswer: 3*c**2*w**2 + 72*w**2 + 286*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 831964 a multiple of 172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 52.1 - 51.8. Which is the nearest to -0.01? (a) -1\/8 (b) -4 (c) 5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7303 is divided by 2089?\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 8:42 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 182334 to the power of 1\/2, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -22 in decreasing order.\nAnswer: 0, -18, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.1, 1151, 1\/9, -63?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q = 133*q - 83695. What is the remainder when q is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 232 in descending order.\nAnswer: 232, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 - 6*o**2 + 4*o + 11. Let t(h) = -12*h**3 + 13*h**2 - 10*h - 22. Let x(k) = 5*q(k) + 2*t(k). Determine x(6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnnttteteel. What is prob of picking 2 e and 1 n?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j - 1. What is the tens digit of y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/13)\/p*p**(1\/2))\/(p**3*p\/p**(1\/10)))\/(((p**(-6)*p)\/(p**(-1\/4)\/p))\/(p*p**0*p)**(-29)) assuming p is positive.\nAnswer: p**(-15289\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 6 = -5*z, -2*z + 83 + 190 = -u + 278 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 162\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 6 = -3*j. Let a be (-54)\/(-3) - j\/(-1). Let y = 41 - a. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((30\/(-3))\/30).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -899 - 19*d**3 - 3835*d + 1807 - 908 + 3835*d.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588539332 to the power of 1\/3, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 11. Let q be o(-9). Let n(z) = -94 + z + 187 - 88 + 100*z**2 - 6*z. Is n(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -2 (b) -0.19 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179834401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (8\/(-22))\/((-2)\/11) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 - 34) + (-1 - (14 + -4)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/9*28\/6. Let x(j) = q*j + 1142*j**3 - 13*j + 127*j**3. Let b be x(-1). What is b rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 464175 by 75.\nAnswer: 6189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011111001010 (base 2) to base 7.\nAnswer: 155256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 440\/360*(-42)\/10 - -5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*h - 20*h + 1515 = 354 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7c + -33?\nAnswer: -af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/194988 and -89\/42?\nAnswer: 1364916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 2:56 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-22)\/(f\/(f**(-11\/4)\/f))*(f**7)**(-2\/61))**(-7\/5) assuming f is positive.\nAnswer: f**(46081\/1220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {w: 1, f: 1, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -513?\nAnswer: 205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*n + 21538 = -139*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 38112?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {m: 1, f: 1, r: 8, z: 2, n: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36367*y = -36459*y + 1288. What is the smallest common multiple of (6\/4)\/(3\/112) and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7))**(-6\/29)\/(((((z*z\/z**(-1\/2)*z)\/z)\/z*z)\/z)\/z)**(-15) assuming z is positive.\nAnswer: z**(3021\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 16*q**2. Let x(l) = 276*l - 1136 - 1152 + 2288. What is t(x(r))?\nAnswer: 1218816*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 + 6*p + 4. Let x be u(-4). Let d(h) = h**3 + 117*h**2 - 236*h + 243. Let b be d(-119). Sort 13, x, -1, b.\nAnswer: x, -1, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4524\/208)\/(-87))\/((-9)\/60)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/7 + 134*p**4 + 15254*p**3\/7 - 51410*p**2\/7 + 53296*p\/7 - 18080\/7 = 0. What is p?\nAnswer: -452, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -1945*t**3\/3 - 2*t**2 - 4*t + 5. Let h be q(-6). Round h to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12 + 12 + 0*j - 2*j + j**3 wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 885709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -5, 3, 17 in decreasing order.\nAnswer: 17, 3, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-16\/3)\/l)**(31\/4) assuming l is positive.\nAnswer: l**(-589\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 627 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5999, -6002, -6005, -6008?\n\"Answer: -3*c - 5996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b = 0. Let q = b - -3. Find the second derivative of -4*k + 5*k + k**q + 0*k**3 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40624194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3022337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 4}. Give prob of picking 1 q and 2 p.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3*396\nAnswer: 1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 725, 885, 1299, 2093, 3393, 5325, 8015?\nAnswer: 11589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {i: 5, y: 5, h: 4, k: 4, m: 1}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 7. Suppose m + j*m = 4*l + 7, -m - 2*l + 31 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - (sqrt(102) + ((sqrt(102) - sqrt(102)*-1)*-2 - sqrt(102))))*-3)\/(sqrt(486)*-2*4).\nAnswer: 5*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fb when two letters picked without replacement from {f: 1, c: 1, w: 2, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7*w + 4. Suppose -2*z = -m - 4, -z - 4 + w = -3*m. Suppose -z*n = -15, 2*n - 18 = 5*t - t. Which is bigger: t or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**4\/4 - 7*g**3\/3 - 4*g**2 - 9*g + 1. Let y be a(-6). Let u be 1*4 - 4\/4. Solve 5*z + 3*b = -13, y*z + 0 = -u*b - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 b when three letters picked without replacement from cccccbcbbc.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*g = 4*d - 4, -d + 5*g = -5. Solve d = -y - 3 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 4\/1651?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + 1 + sqrt(1377) + 3 + -3)**2.\nAnswer: 288*sqrt(17) + 5572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)\/d*d**(-4\/5))\/(d*d**(-2))**37 assuming d is positive.\nAnswer: d**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2, -7, -10, 30, -3.\nAnswer: -10, -7, -3, -2, 30, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 804783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r**2 + 9*r - 14. Let z be i(-19). What are the prime factors of z\/(-45) + ((-2)\/5 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*c**2 + c**6 - 11*c**3 + 1391*c**5 - 1390*c**5 + 1544*c**2 wrt c.\nAnswer: 120*c**3 + 60*c**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-116)\/(-14) + 8\/(-28). Let b = -10 + 16. Let k = a - b. Solve 0 = k*m - 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -689 + 713. Solve -6*w + 12*w = o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344333405 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56290 and 9880.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*q + 62*q = 932 + 844 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 divided by -4?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 405736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7229, 14595, 21961, 29327?\nAnswer: 36693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 8*l**2 + 16*l + 49. Let h be t(-5). Calculate the highest common divisor of h and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 6758?\nAnswer: -6760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 - 104. Suppose 5*w = m + 44. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 10*h**4 - 5*h**2 + 9*h - 5. Let o(q) = q**2 + 1. Let j(z) = 5*o(z) + w(z). Find the second derivative of j(x) wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93104.4869 rounded to the nearest one thousand?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 392 and 294.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 37*o**2 + 112*o - 132. Give y(21).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.053 - 3.947. Put 4, y, -0.1, -2 in increasing order.\nAnswer: y, -2, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930388 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7410)\/(-858) - 9)\/(4\/66).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51864*s**5 - 11*s**2 + 10*s - 58.\nAnswer: 3111840*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x + 84 - 76 - x.\nAnswer: 5*x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153079206 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 12)*(4 - 3 - 3)*(17 + 2*m - 17) to q*m + j and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1193115.\nAnswer: 3, 5, 7, 11, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3\/32 + 171\/224. Let r = -2303 - -2308. What is the third biggest value in v, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-15)\/(-6))\/5)\/((-23)\/(-46)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 2 - (10 + -11 - 0)) + -6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 2*o**4 - o**4 + (-o + 0*o - o)*(-3*o**3 + o**3 + 0*o**3) + 2*o**4 - 39*o**3 + 39*o**3.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgvvvgggvigggggigvg. Give prob of picking 2 i.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6560325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 95 = 3*d. Suppose -9*u + 24 = -d. Suppose 0 = 32*s - 34*s + u. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/2 and -51\/1580?\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58525 and 5.\nAnswer: 58525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 252\/(-8) - (-2)\/(-4). Let a be 2\/7 - o\/(-112). Solve -u + 4*u - 6 = a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:53 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-30)*(-18)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 4699.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1324 + -1324. Suppose 4*t - p + 128 = -5*p, x = 5*t - 2*p + 167. Suppose 0 = -3*s - 0*u + u - 100, -4*s = 4*u + 144. Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/18*15*((-264)\/(-22))\/120?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 9:42 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 135 = 3*p, -q - 3*p + 62 = 2. Let t be ((-2)\/(-2))\/(q\/(-30)). Which is the nearest to 0? (a) -2 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*z + n + 26, -4*n - 8 = 0. Let h(j) = -35*j - 20. Let l(m) = 12*m + 7. Let u(a) = z*l(a) - 6*h(a). Let c(k) = -k. Determine 11*c(b) + 2*u(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43647.41368 rounded to 0 dps?\nAnswer: 43647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*g + 15 + 82*g - 140*g.\nAnswer: 22*g + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 7*y + 0*y)*(-3 + 3 - 2*y**3) + y**2 + y**2 + y**4 + 0*y**4.\nAnswer: -7*y**4 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2. Suppose -2*a + 5*o + 119 = 0, 0 = -3*a - 0*a + 4*o + 168. Let t be (-4)\/(-18) - a\/(-9). Let w(v) = -t*v - v + v. Give p(w(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010110010110001100 + 1?\nAnswer: 101010110010110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q. Let f(l) = l**2. Let m(i) = 3*i**2. Let x(z) = 4*f(z) - m(z). Determine x(h(u)).\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 23. Let c be n(23). Suppose -14*i - 4*i + 36 = c. Solve -s + s = -i*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350690 is divided by 349694?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 2*u**4 + 3*u**4 + (-4 + 6 + 4)*(-2*u**4 + 4*u**4 - 5*u**4).\nAnswer: -19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -21572403 to the nearest ten thousand.\nAnswer: -21570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 38*k + 14. Let q be m(35). Let y be (-605)\/1820 + (-14)\/q. Which is greater: 0.1 or y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 - 87*q**2 + 297*q - 872. What is x(40)?\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 0*x + 5*x + (0 + 5 - 3)*(2 - x - 2) - 2*x + 7*x - 3*x)*(x - 2*x - x)*(-x**2 - x**2 - 3*x**2).\nAnswer: 10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 - 8*v**2 + 7*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 18\/211?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -88?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20204 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 309.\nAnswer: -85\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 51*o - 204. Determine f(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*n**2 - 91*n**2 - 98*n**2 - 9544*n + 361*n**2 - 95*n**2 + 9544*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 34*y**2 - 495*y + 14988. What is w(35)?\nAnswer: -1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 39, 27, -5, -57, -129?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12.19 times 0.3\nAnswer: 3.657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/6)*u**(1\/3)\/u*(u*(u**0\/u)\/u)\/(u**0\/u))**(6\/5))**(-10) assuming u is positive.\nAnswer: u**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, 0.8, -15\/4, 7, 1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 9*a**2 - 10*a + 1. Let r be h(10). Which is greater: 2\/57 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -72.4246256+0.0664\nAnswer: -72.3582256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 11 - (122 + -121)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 6*s**2 - 7*s + 4. Let y be a(5). Let d be 5 - (69\/(-46))\/(y\/4). Suppose 5 = -2*u - 3*j, 5*u = 3*j + 2*j. Do d and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 - (-3036)\/92 - 35\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, n: 3}. What is prob of sequence mmnm?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 18 = 4*v - 0*s, 0 = 3*v - 5*s - 28. Suppose -2*y + y + 5*h - 6 = 0, y + 4*h = -v. Let c(b) = -b**3 - 4*b**2 + 7*b - 5. Is c(y) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzxx when four letters picked without replacement from boxobxnbnxbznboxbb.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - -2 - (18 - 22). Let o = 13 - 22. Is (143 - i) + (-8 - o) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.39 - -825.\nAnswer: 828.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 44229946.\nAnswer: 663449190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 5*b**2 - 13*b + 24. Calculate x(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) - 14\/(-4). Suppose -4*r - 75 = -y. Let g be 4\/r + (-640)\/(-45). Solve 5*h + 10 = -0*h, 5*h + g = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -1. Suppose -2*v - 10 = 0, 21 = -o + 5*o - v. Let y = o - p. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.716942 rounded to two decimal places?\nAnswer: 14.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*w = -3*w + 865, 0 = 3*w + 15. Is 44 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 - 36. Suppose 0*k = -2*k + f. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by ((-14)\/8)\/(3\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 473 - 472.93824. Let y = 0.06 - u. Round y to 4 dps.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 1:59 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 11 + (-19 - -32 - 20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 5:43 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - 25) + (-1 + 2 - (15 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0087*6.\nAnswer: 0.0522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - -3*(2 + (-8)\/(-6)). What is the third derivative of 15*c**4 - 2*c**3 + y*c**4 - 33*c**4 + 44*c - 2*c**2 wrt c?\nAnswer: -264*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - 324\/(-42). Suppose 2*o - c = -2*o, 3*o = -4*k - 90. Let w = k + 58. Calculate the remainder when w is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.8, 4, 2, 170, 5, -26, 1\/7.\nAnswer: -26, -4.8, 1\/7, 2, 4, 5, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-8)*(-5640)\/(-470).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(3 + -5 + -2 + 3). Let u = 4 - -1. Is u <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1\/4, -0.01, 0, -2\/5, -1 in decreasing order.\nAnswer: 1\/4, 0, -0.01, -2\/5, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*c*l**2*u**2 - 246*c*l*u**2 - 2*c*u**2 - 4*c*u + 175*u**2 wrt l?\nAnswer: -58*c*l*u**2 - 246*c*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-3 - (2 - 4)). Suppose 20 = -5*w, -5*z - 3196 = -j*w - w. Round z to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + b**2 - b + 2. Let a be o(0). Suppose a*t = -1 + 7. What are the prime factors of 6*(0 + t\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13133426503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/197800 and 91\/35500.\nAnswer: 70219000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -52 - 2403?\nAnswer: -2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -6 - 1) + 3. Let w be 1\/a*(-9 - -4). Suppose -b = 1, -w*u + 3*b - 7 = -40. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 3) + -1 - (8 + 23 - 4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3888549277 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15291 - -493a?\nAnswer: -10452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 13*v + 30. Let a(t) = 9 + 87 + 50*t + 24 + 5*t**2. Let d(h) = -6*a(h) + 25*c(h). Suppose d(g) = 0. Calculate g.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 2*n - 25, n = -0*n + 5. Differentiate -i**3 + 0*i**o - 5 + 0*i**3 with respect to i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6175935 divided by 9665\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 213389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 78 = -5*m - 238, 5*k - 2*m - 175 = 0. Suppose 2*w - k - 7 = 0. Let v = w - 13. Solve -3*o + 14 = -d, 5*o - v - 13 = d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 16. Let y be 0*(9\/v + -1). Suppose -5*x = -l - 0*l - 8, y = -2*x + 2*l. Let m(u) = u**2 - 2*u. Determine m(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300205768.2 rounded to the nearest 100000?\nAnswer: 300200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 - 123098*v**2\/5 + 13287768*v\/5 + 12058686\/5 = 0. What is v?\nAnswer: -6261, -9\/10, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 - 16*u + 14. Let w be q(6). Let g be -6*(2 + w\/92). Is 1 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t - 30. Suppose -h + t*h - 370 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4215 + 11583.1\nAnswer: 7368.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2598.88607 and 0.1.\nAnswer: 2598.98607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77863.\nAnswer: 77863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 1 = -q, -51*q - 23 = -46*q - w for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828 - 516 = -12*i. Let u = 43 + -15. What is the greatest common divisor of i and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483244018.\nAnswer: 2, 241622009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-30)*(-1)\/((36\/27)\/4)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61873, -123762, -185651, -247540, -309429, -371318?\nAnswer: -433207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92*a**3*x - 2*a**2*x - 183*a*x**2 + x**2 + 4589*x with respect to a.\nAnswer: -276*a**2*x - 4*a*x - 183*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 528 - -e?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-8) - 5) + (-32)\/(2 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + (sqrt(325) - -3*sqrt(325)*-2) + (sqrt(325) - (sqrt(325)*3 - sqrt(325))**2) + 2 + -4*2*sqrt(325) + 5 + sqrt(325)*-1).\nAnswer: 260*sqrt(13) + 5172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eoy when three letters picked without replacement from oymeyym.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 77*r - 9. Let d(f) = -60*f + 7. Let t(z) = -9*d(z) - 7*i(z). Let s(j) = 21*j**2 + 7*j. Calculate s(t(n)).\nAnswer: 21*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 803, 1647, 2923, 4685, 6987, 9883, 13427?\nAnswer: 17673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40720.\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 + 273. Let k = -126 + u. What is the remainder when k is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211020 (base 3) in base 6?\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.738 and -64.23.\nAnswer: -63.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*2 + -5 + 1 + (1 + sqrt(1216) + sqrt(1216) + 3)*5)**2.\nAnswer: 3072*sqrt(19) + 175360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/378425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a147 (base 12) to base 10.\nAnswer: 141895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v - 18. What is f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*10*2\/8. Let i(r) = 3*r**3 + 21*r**2 + 13*r - 12. Let k(t) = -t**3 - 10*t**2 - 6*t + 6. Let s(p) = a*k(p) + 2*i(p). Does 15 divide s(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 19 + 14 + 3*i)*(-2*i**3 - 3*i**3 + 2*i**3).\nAnswer: -9*i**4 - 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 8:31 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1800 + -1779. Let f = -47 - -27. What is the lowest common multiple of v and ((-108)\/f)\/(1\/5)?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = w - 696, 3*w - m = -5*m + 2075. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**3\/6 + 5*m**2 - 18*m. What is the least common multiple of 3 and n(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468870 is divided by 116638.\nAnswer: 2318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 27.0085. Round n to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/118 and -7\/256.\nAnswer: 15104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1109*p - 4*q + 80 = 1111*p, 5*p + 3*q = 221. Let o(u) = u**2 - 2*u + 1. Calculate the remainder when p is divided by o(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 92 = 2. Suppose -5*y = 2*m + o, y - 6*y - 46 = m. Let v(c) = -4*c + 2. Is v(y) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1044150 and 13922?\nAnswer: 1044150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 2*s**2 + s + 1. Let d(i) = -501*i**4 - 7*i**3 - 10*i**2 + 4455*i - 6. Let n(m) = d(m) + 6*v(m). What is the second derivative of n(p) wrt p?\nAnswer: -6012*p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8058280810.\nAnswer: 2, 5, 127, 373, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times 27.93521?\nAnswer: 446.96336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26579237 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/60 and 37\/453?\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 2762.45?\nAnswer: -2762.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15994 + -5?\nAnswer: 15989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 440\/(-275)*1\/(-4). Factor 2\/5 - 2\/5*q - m*q**2 + 2\/5*q**3.\nAnswer: 2*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {t: 1, w: 1, m: 2, k: 1, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5153706 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 5*h**4\/24 - 5*h**3\/6 + h**2. Let s be a(6). Suppose s = i + 4*i. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*k - 7 = 0, 2*f = -0*f + 3*k - 14. Suppose 5*j - 116 = -0*j + 2*c, -34 = -j - 5*c. Let b = j - f. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1173, 1170, 1159, 1134, 1089, 1018, 915?\n\"Answer: -i**3 + 2*i**2 - 2*i + 1174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1) + 1\/(-2). Let o be 2*((0 - (-45)\/6) + -1). Suppose x = -16 + o. What is the third smallest value in -0.02, x, z?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 3*q - 4. Let l be x(3). Suppose 0*o = l*o. Solve o = 3*u - 3, f + u = 5*f + 21 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*a = -1, 2*a - 34 = l - 6*l. Suppose i - 2*q = -i, -q = -5*i + l. Factor -2*m**2 + 2*m - i*m + 0*m + m**3.\nAnswer: m**2*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2249.99 to the nearest 10.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 12*w**2. Let c(a) be the third derivative of a**6\/60 - 16*a**3\/3 - 4*a**2 + 9*a. Let h(n) be the first derivative of c(n). Determine x(h(o)).\nAnswer: 432*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(77\/28 + -2). Let u(c) = -9*c - 25. Let i be u(r). What is the greatest common factor of i and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 64\/11, -1\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5070 is divided by 94.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374.92 litres in millilitres?\nAnswer: 3374920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxzxzxzxxxzzsxxxsxq.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 1:07 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111010001 - -100011111110?\nAnswer: -110011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-35)\/(-180) - (2 + (-9)\/4). Let h = -3 - -3.1. Put h, f, 0.4 in descending order.\nAnswer: f, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + j = -2*m + 44, -4*m - 4*j = 40. Put 3, 0, m in ascending order.\nAnswer: m, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:20 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iill when four letters picked without replacement from lili?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 1768.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159684790.\nAnswer: 2, 5, 149, 107171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548896467?\nAnswer: 3, 7, 26137927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4*sqrt(38)\/sqrt(2) - sqrt(19))**2 - (-1*sqrt(228))\/sqrt(12))*3.\nAnswer: 3*sqrt(19) + 1428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 432 and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-70) + (-1272)\/(-15). Put -2, l, -4, -1 in increasing order.\nAnswer: -4, -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99379 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 739608.\nAnswer: 739608.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -187358 plus 2456736?\nAnswer: 2269378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 18 = -l + t, 0 = 4*l - 3*t - 27. Sort 1, 13, l in decreasing order.\nAnswer: 13, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 1247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 + 3*p**2 + p**3)*(66 - 77 + 2*p + p + 60) to the form g*p**2 + j + w*p**3 + h*p**4 + l*p and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 450 and 5.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7611 and -0.1.\nAnswer: 761.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 + 6 = 0. Suppose l*q + 3 = 0, -5*r = q - 4*q - 28. Let x be (-15)\/(-20)*(-1 + 5). Solve -b = -x + r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12085, -24186, -36303, -48436, -60585?\nAnswer: -72750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 13*l**2 + 7*l + 8. Let u be b(-7). Let t(a) be the third derivative of 5*a**4\/24 - 5*a**3\/3 - 2*a**2. What are the prime factors of t(u)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1 and -1573870.\nAnswer: -1573871.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 99*k + 800. Let g be n(-8). Solve u + 5*j + 7 + g = 0, -3*u = 4*j + 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 103, 11.\nAnswer: 0, 11, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -48*t - 3. Let u be (0\/(-3 + 6))\/2. Let s(m) = -m**2 + m - 2. Let x be s(u). What is the remainder when v(x) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/((-85)\/(-17))*(-1)\/3*(-6)\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-26) + (-114)\/4. Let n = 99 + z. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 - 2 + 3 - 21 - 195*d**2 in the form o + h*d**2 + m*d and give h.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 16. Suppose 3*o - 10 - 44 = 0. Suppose -5*y - q + 25 = -n*q, 3*q + o = 4*y. Calculate the remainder when 4 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202 - -129. Let a = -58 - g. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q - 2. Calculate k(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 28*b = -31*b - 810 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, m: 5, f: 3, v: 1, l: 1}. What is prob of picking 1 l and 1 c?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 h when four letters picked without replacement from lfgslffgohlsgs.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -727 > -864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 23 = 2*u - 4*j, 0 = -u - 4*j - 9. Let w = 61 - 56. Suppose -w*a - 17 = -2*v, -2*a = -5*v - u*a + 25. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -28*g + 643. Let j be r(22). Solve -84 = -j*p + 39*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/4397? (a) -0.052 (b) 2 (c) -2 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**4\/6 + y**2\/2 - y. List the prime factors of w(-4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 635, 638, 641, 644?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240221*q**5 + q**4 + 5676*q**2 - 3*q?\nAnswer: -14413260*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 18*t + 13. What is the units digit of r(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 + 4*p + 11. Let o be z(5). Calculate the greatest common factor of o and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/8, -0.1, -5, -3\/5, 0.035, -1\/4?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6409\/(-26) - 17)*(-39)\/1209.\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 11*o + 9*o + 5 + 13, 2*o + 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -2\/5, -17183, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1608450 equal to 1608441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-11312)\/5670*3 + 6\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**3 + 3*z**2 - 6*z + 6. Let l(q) = 7*q**3 + 3*q**2 - 14*q + 13. Give -2*l(c) + 5*o(c).\nAnswer: c**3 + 9*c**2 - 2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 4600 = 4570. Let j(d) = d. Let p(z) = -13*z - 1. What is s*j(c) - p(c)?\nAnswer: 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t + 7*t + t - 74 - 5*t.\nAnswer: 7*t - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t + t. Let k(l) = -1656*l + 1656. Let c be k(1). Solve 2*h - 12 = u, 5*h + c*h + t*u - 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l**2 + 108*l + 56. Let b(u) = u**2 + 18*u + 1. Calculate 6*b(q) - c(q).\nAnswer: -13*q**2 - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03763 - 0.43763. Which is the closest to 1\/4? (a) 5 (b) s (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 52*i + 144. Let m be x(-23). Let y(n) = 3*n**3 - 5*n**2 + 4*n + 30. What is the hundreds digit of y(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 + 9) - -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 36 = a. Suppose 3*k - a = -k. Let c = 12 - k. Calculate the lowest common multiple of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 342*m - 44195 + 1787 for m.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -28. Suppose h = 47*g - 48*g + 213. What are the prime factors of g?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/2, -2, 0.113?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q. Let c be s(0). Suppose c = -3*z + 4*b + 25, 0*z - 5 = 5*z + 5*b. Solve 2*m + 1 + 1 = 0, 0 = z*t - 4*m - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1 + (sqrt(176)*-3 - sqrt(176) - sqrt(176))))**2 + -6*((sqrt(11) - sqrt(44)*3) + (sqrt(11) + sqrt(704) + 0 + sqrt(704))**2))*-3.\nAnswer: -61605 + 990*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 16897*u**2\/5 - 135127*u\/5 - 50667.\nAnswer: -(u + 3)*(u + 5)*(u + 16889)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/20)\/((-48)\/(-80))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 226535.1 litres?\nAnswer: 226535100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m - 10*m - 3*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o - 67 = -4*n, -54 = -3*n + 3*o. Suppose g - 40 = -4*t, -t + 4*g + 23 = g. What is the remainder when n is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597327 plus 0.5?\nAnswer: 597327.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 22*z**3 - 6*z**2 + 6*z - 4. List the prime factors of v(5).\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44.62 and -7.3?\nAnswer: -325.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 5:37 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -82*s. Let b(p) = -p**2. Determine b(a(i)).\nAnswer: -6724*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 249877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 6432100 in increasing order.\nAnswer: -4, 5, 6432100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136770 and 160830?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 7*i + 12. Let y = -93 + 97. What is the remainder when n(y) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of z**3\/3 - 4*z + 208. Factor g(m).\nAnswer: (m - 2)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + 2 - (-15 - -26)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/39615 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 339 - 340. Let r be (20\/5 - 4)\/(-1). Is 24 a factor of l\/((-5)\/825) - r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxkkxxr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -1 - (-4 + 24 + -14 + 14)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:58 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-10*x + 0*x + 12*x) + (1 - 1 + 1)*(-2*x - 3 + 3).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/3960 and 19\/25230.\nAnswer: 3330360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from bbbfosvobvobfvffbh?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 47 - 77. Solve x = -5*q - 0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6305340 and 1920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.495 - 1.24. Round t to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 11*h**2 + 6*h + 2. Let d(b) = 11*b**2 + 5*b + 2. What is 6*d(z) - 5*v(z)?\nAnswer: 11*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, m: 2, r: 1, d: 3, f: 9}. Give prob of sequence fmf.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-42)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 62408 greater than 62407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 - 18427981\nAnswer: -18427980.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 4\/2753 (c) -62\/119\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67.5 + 80.8. Which is smaller: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 + 119 - (-12 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4050 and 14514300?\nAnswer: 130628700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1524 + -1153?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -33*k**2 - 1221*k - 11. Let q be h(-37). Let r(s) = -3*s**2 - 2*s - 2. Let v(w) = 8*w**2 + 6*w + 6. Give q*r(n) - 4*v(n).\nAnswer: n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66784464631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) 48 (c) -7 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 7 + 20 + 3*u + (-1 - 3 + 2)*(2*u - u - 2*u) + 0*u + 2*u + 3*u.\nAnswer: 10*u + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**4 + 1540*d**3 - 139464*d**2 - 1696464*d - 2822688 = 0. Calculate d.\nAnswer: -9, -2, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*u**2 + 4)*(56 - 52 + 23) - 2*u**2 + 2*u**2 - u**2 + (u**2 - u**2 - 2*u**2)*(6 - 3 - 1) - 2*u**2 + u - u.\nAnswer: -142*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -23123330?\nAnswer: -23123333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 5*c - 35, -c + 13 = -759*n + 758*n for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 - 70*z**4 + 528*z**3 - 1648*z**2 + 2336*z - 1248.\nAnswer: 2*(z - 26)*(z - 3)*(z - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198518 - 117454. Let b = o - 81057.00016. Let v = 7 - b. Round v to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1536*-4\nAnswer: 0.6144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -347 - -352. Solve 5*x - 21 = 4*c, p*x = -c - 0*x + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41141 - -3?\nAnswer: 41144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - y)*(2 - 1 + 0) + (9*y + 31 - 31)*(3 - 3 + 1) as a + m*y and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 5. Let h = 652\/7 - 93. Which is the nearest to 2\/7? (a) h (b) 2\/9 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7486*f + 9813. Let a(o) = 3744*o + 4906. Let t(u) = 7*a(u) - 4*p(u). Differentiate t(g) wrt g.\nAnswer: -3736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901700 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -13\/16?\nAnswer: -13\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2766906812 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 3*f + k, -4*f - 5*k = -0*k - 74. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0, 6, 0.007, 8, -0.93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07679139 rounded to three decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5285398, -10570831, -15856282, -21141763, -26427286, -31712863, -36998506?\nAnswer: -42284227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a + 5. Let l be s(-6). Let x = 18 + l. Solve -3*w - 2*w - x = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 2 + (-3 + 4 - 3)*(4 - 3 + 0) + 3 - 1 - 1 + 3 + 1 - 2)*((-4*v + 3*v + 2*v)*(1 - 4 + 1) + 0*v - 2*v - 2*v) to the form b*v + h and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1\/4)*h))\/h)**24*(h**(1\/3)\/h)**(23\/6)*(h**(2\/7)*h*h**(-2\/17))**(2\/99) assuming h is positive.\nAnswer: h**(-174877\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:21 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27394.88 years in millennia?\nAnswer: 27.39488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -q + 11. Suppose -q*u - 52 = u. Let j = u + 16. Solve 4*t + 3*p - 28 = 0, 5*t + j*p - 19 = 13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140685829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2483\/146 + 17. Let l = o + 149\/438. What is the nearest to 2\/5 in 14\/11, l, -2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 316*y - 937. Let p be k(-3). Solve -p*v + 22*v = 42 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -0*a. Let j be 5*2\/(-35)*-14. Solve 4*l - 31 = a*m, -j*l - l = -3*m - 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:12 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -25*v - 10. Let j be f(-5). Calculate the highest common factor of 23 and j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f**2. Let m(a) be the third derivative of a**2 + 1\/60*a**5 + 0*a**3 + 0*a**4 + 0*a + 0. Determine m(n(u)).\nAnswer: 289*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1939 - -5824\/3. Let l(a) be the first derivative of z*a**3 + 7*a + 18 + 0*a**2. Let c(o) = -13*o**2 - 13. What is -6*c(q) - 11*l(q)?\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-16) - 46\/184.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 86 in 18, -10\/9, -5, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 11*z**2 - 29*z + 16. Calculate p(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 21*t**3\/2 + 33*t**2\/2 - 420*t. Let j(w) = -4*w - 2. What is 4*g(h) + 66*j(h)?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, 24, 0, -44, -114?\n\"Answer: -l**3 - l**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**3\/6 + 7*n**2\/2 + 2*n. Let m be y(5). Find the first derivative of -s**3 + 2 - 2*s**m + 2*s**2 wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001643 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5\/46, -12 in descending order.\nAnswer: 2, -5\/46, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 434, -1, -4, 1 in decreasing order.\nAnswer: 434, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, -2*n - 16 = -4*n + u. Suppose -2 = -2*v + n. Suppose -v*t + 5*p = -35, 2*t + 3*p - 3 = -t. Solve -5 - 11 = -t*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2550 - -1377. Let k = -605 - c. What are the prime factors of k?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36\/7 - 605\/119. Let m = 20\/51 - z. Put -0.3, m, -1 in descending order.\nAnswer: m, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 0.1, -0.2, -10904 in decreasing order.\nAnswer: 0.1, -2\/19, -0.2, -10904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4081 + -2924. What is the highest common divisor of c and 623?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11438900 and 47\/1925.\nAnswer: 80072300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 59544*v**2 - 297701*v + 357234 = 0. What is v?\nAnswer: 2, 3, 59539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 + 2 + (2 - 4 + 3)*(5 + 0 - 3))*(2 + 3*y**2 - 2).\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2286243 * 0.4.\nAnswer: -914497.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 11:57 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 7*s + 8. Let z = -2 + 5. What is the remainder when z is divided by n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:07 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*p - 277 + 507 - 158 in the form g + q*p and give q.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Solve w + q = 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)**(2\/161)*f\/(f*f*f**(2\/13))*f*f**1*f*(((f\/(f**(1\/3)*f))\/f)**(-1\/14))**33 assuming f is positive.\nAnswer: f**(10520\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2164927*q + 2366305.\nAnswer: 2164927","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 3*u + 819. Suppose 0 = -175*r + 222*r - 3602 - 64. What is the greatest common factor of u and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, 79, 12051 in increasing order.\nAnswer: 68, 79, 12051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 2*r + 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97844026?\nAnswer: 2, 7, 103, 67853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/84 - 2\/((-42)\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - 2*f**2 + 2*f**2 + 65*f**2 - 106*f**2 - 128*f**2 + (3 - 2*f - 3)*(0*f - 3*f + 2*f).\nAnswer: -168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 6*f - 10. Let z be o(10). Let l(g) = g**3 - 2*g**2 + 2*g - 3. Let a be l(3). What is the highest common factor of z and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:07 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599100 rounded to the nearest 10000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -278*d + 6*d**4 - 2*d**3 + 278*d + 2*d**4 - 1 + 1 + (-110*d + 79*d + 55*d)*(0*d**3 - d**3 + 3*d**3) as m*d**2 + z*d**4 + x*d + l + f*d**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-5))\/((-18)\/270). Suppose f - 1 = h + 3*f, -5*h + f + v = 0. Solve -3*s - 2 - h = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from {m: 9, j: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:39 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.46*-3.2.\nAnswer: -1.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 2*f**2 + 7*f - 4. Let j(o) = 20*o + 16. Let z be j(-5). Let y be z\/(-22) + 18\/99. What is the tens digit of n(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -284638, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (15\/2)\/((-396)\/154) and 101\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.2, 0.1, 5852.1375, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*a**2*v**2 + 131586*a*v**3 + 2*a - 46*v**3 + 28*v**2 + 2*v - 3506 wrt a?\nAnswer: 36*a*v**2 + 131586*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - (12 + -6 + -9 + 14 + -5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 20*c**2 - 8*c - 11. Determine x(-5).\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - 0) + ((-68)\/4 - -12 - -36916)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*4*(sqrt(88) + sqrt(88) + 4*sqrt(88) + sqrt(88)))\/((sqrt(288) - -5*sqrt(288))*6).\nAnswer: -7*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjsm when four letters picked without replacement from {s: 1, f: 3, m: 12, j: 4}.\nAnswer: 22\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -4\/21 in descending order.\nAnswer: 0, -4\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**5\/20 - 3*r**4\/8 - r**3\/4 + 5*r**2\/4 + 157. Factor b(o).\nAnswer: -o*(o - 1)*(o + 2)*(o + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3697 - -3705. Solve -4*f + 16 = 5*u - 20, -c = -4*u + 2*f for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghhbbhhbhhbhggbhghh. Give prob of sequence bgbg.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(34)\/(sqrt(2)*2*4) + sqrt(153) + sqrt(153)*1 + 1 + 2 + -5.\nAnswer: 1 + 49*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xywxyyxwxexwxwyy. What is prob of sequence ex?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in 0.9, 0.28, -5\/8?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1940, 4192, 6444, 8696, 10948?\n\"Answer: 2252*a - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161100778 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m. Let o(s) = -29*s + 6*s + 2 + 4*s + 7*s + 7*s. Determine i(o(c)).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82453*q**2 + 446*q - 446*q.\nAnswer: -82453*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/110 and 1\/12?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212 = -4*z + 4*g, 5*z + 2*g - 154 = 2*z. Let v be (2 - z)*138\/(-12). Let a = -384 + v. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -0.3, 0.21, 0.4 in decreasing order.\nAnswer: 1.7, 0.4, 0.21, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -158.\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p + 2. Let d(s) = -20*s + 6. Suppose 0 = -5*u + v + 87 - 0, 4*u + 3*v - 62 = 0. Calculate u*n(c) - 6*d(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8146280 by -4.\nAnswer: 2036570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16006? (a) -0.1 (b) 6 (c) -288 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963493.\nAnswer: 23, 163, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {k: 14, y: 1, h: 2}.\nAnswer: 91\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 5*r**4\/2 - 2*r**3\/3 - 7*r - 108. Differentiate j(l) with respect to l.\nAnswer: 30*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8343808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 743 - 0.20759.\nAnswer: 742.79241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 10:43 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -347711\/20 - -17389. Calculate the common denominator of (-5 + 1228\/(-16))*(-6)\/63 and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2760 - -4279. What are the prime factors of w?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13623?\nAnswer: 3, 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53.12205 micrometers?\nAnswer: 53122.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 9*m**2 - 49)*(-1 - 2 + 4)*(-3*m + 3*m**3 + 0 + 2 - 4*m**3).\nAnswer: -9*m**5 - 27*m**3 + 18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a1a93 - 1?\nAnswer: -7a1a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = 4*w. Let t(c) = c**2 + c - c**3 - 2*c**2 - 9*c**w - 2*c. Calculate the least common multiple of t(-1) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 7. Let l(w) = 6. Let y(g) = 2*b(g) + 3*l(g). Let u(n) = 1. Let z = -2 + -1. Let a(f) = -f - 1. Let h be a(z). Give h*u(k) - y(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3552*d**2 - 1144 + 51*d + 12550*d**2 - 1143 + 3432 - 1149 wrt d?\nAnswer: 17996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5119*x**3 + 623*x + 5 wrt x.\nAnswer: 30714*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110643 and 689.\nAnswer: 5864079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 105*p - 102*p + 3*z, p - 26 = 2*z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -168 - -175. Let h = 10.7 - q. Which is the second smallest value? (a) 0 (b) 1\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1550, -1544, -1538, -1532, -1526?\n\"Answer: 6*y - 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 5. Let v(f) = f - 2. Let w be v(4). Find the third derivative of -2*x**2 + x**4 - x**w + 0*x**m wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6*q**2. Let p(x) = 821*x. Calculate d(p(r)).\nAnswer: -4044246*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2.888.\nAnswer: 5.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gffgfqfffqfff. Give prob of picking 1 q and 2 g.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 2.1898692.\nAnswer: 0.65696076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 9\/(81\/91))\/((-133)\/57)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, -13, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 143019652 - 5?\nAnswer: 143019647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(204)*1)\/sqrt(12) + (sqrt(17) - sqrt(119)\/sqrt(28)))**2.\nAnswer: 15*sqrt(17) + 253\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 372975063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 37. Let l = a + 63. Suppose 77 - 21 = 4*p. Calculate the remainder when l is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13202803 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 6*d - 5*v + 5, 2*v + 10 = 0. Suppose 6 = -2*a + a + 3*o, -d = a - 5*o. Solve -32 = -2*q + 5*f - 4, a = -4*q - 4*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 404*c - 1772. List the prime factors of y(18).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2740 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6583456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a + 9. Let g(t) = -t - 8. Let p(z) = 5*g(z) + 4*k(z). Let b(s) = -s - 5. Suppose -10 = j - 3*j. What is j*b(c) - 6*p(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 481 + 243 = 0. Let q = k - -264. What is the remainder when q is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 53580*r - 11171817.\nAnswer: -3*(r + 211)*(r + 17649)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-8)*227\/(-8172)*14\/(-3) and 57\/16.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7772.4 and 3.\nAnswer: -7769.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 4. Let w be m(-8). Let h(n) = 2*n**2 - 2 + 34*n - 36*n - 3*n**2. Let v(q) = 6*q**2 + 11*q + 11. Calculate w*v(d) + 22*h(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*n + 62 = -0*n, 5*n = -s - 7. Let l = s + 15. Suppose -5*c + 38 = -l*c. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.82 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478484?\nAnswer: 2, 37, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - 1) + 16 - (-3 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 724, 1419, 2062, 2629, 3096?\n\"Answer: -4*q**3 - 2*q**2 + 729*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2 + 0*o + 1\/5*o**5 + 3\/2*o**2 + 0*o**3 + 0*o**4. Find the second derivative of q(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67, -563, -1899, -4495, -8771, -15147, -24043?\n\"Answer: -70*b**3 - 6*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 15*z**2 - 11*z - 28. Let v = 2639 - 2623. Give l(v).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -94. Let r = -53 - x. Suppose -16*i + 11*i + 13000000 = r. Round i to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r - 63 + 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -26 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22040)\/(-24) + (-2)\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14493 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 1121954*n**2\/3 + 3365866*n\/3 + 4 = 0. Calculate n.\nAnswer: -3, -2\/560977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + 0 + -3.\nAnswer: -3 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 2*y - 7. Let p be (-6)\/10 - 333\/(-5). What is the greatest common factor of p and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59518097?\nAnswer: 59518097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ruf when three letters picked without replacement from {r: 2, z: 1, u: 1, h: 2, f: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-242))\/((-1 - (-208)\/80)*15\/132).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 - 27*a + 28. Determine q(-9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(128)*1).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35916628 and 17958314?\nAnswer: 35916628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 2:30 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 584 - 833. Let d = 271 + o. What is the remainder when 85 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**4 + n**3. Let w(y) = 8*y**4 - 5*y**3 + 4*y**2. Let t(m) = 5*f(m) + w(m). What is the third derivative of t(z) wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 4428387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3673536, 3673535, 3673534, 3673533, 3673532?\nAnswer: 3673531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + (-1)\/(4\/16). Let i be 18\/f + (-4)\/1. Suppose 0 = v + 5*t - 123, i*t - 403 - 258 = -5*v. What is the remainder when v is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*i**2 + 15876*i**3 - 15748*i**3 + 76*i**2.\nAnswer: 128*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21412 - -11453. Let x = v + 218997\/22. Let q = 80057\/16 - 5009. What is the common denominator of q and x?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-12)*a*a**(-2))**(-4\/7) assuming a is positive.\nAnswer: a**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 5. Let j be ((-84)\/35)\/(-12) + (-21)\/5. What is p(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-4)*(-8 + (-312)\/(-42)). Suppose 16*t - 12 = -i + 20*t, 0 = z*i - 3*t - 9. Solve 0 = -2*a + 6, i = 5*o - 7*a + 2*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 810*z**3 + 2*z - 452*z**3 - 397*z**3.\nAnswer: -39*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = 3*c + 8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -585204, -585206, -585208?\n\"Answer: -2*y - 585202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 2)*1\/(-2). Let q(z) = 0*z**3 + 7*z**2 - z - z**3 + 0*z**3 + y*z + 5. What is the remainder when q(4) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 9. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(1\/6))**(18\/11))**(5\/7))**(-4) assuming w is positive.\nAnswer: w**(-60\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-23 + -130)\/(-9) - 43\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -3*o**7\/35 + o**5\/20 - o**2\/2 + 13*o. Let q(f) be the first derivative of h(f). What is the third derivative of q(d) wrt d?\nAnswer: -432*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1689\/2357 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -5*d + 3*l - 36, 0*l = 7*d - 4*l - 0*l - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 89 = -80 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(468) + sqrt(468)*-1)\/((sqrt(4)*1 + sqrt(4))*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -1, -1\/4, 9, -6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -4, 4, -1\/7, -2\/19?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 29. Let i(w) = 6991*w**2 - 9*w - 10. Let z be i(b). Suppose -9*u + 0*u + z = 0. Round u to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 9*m. Let c(w) = -w**2 + 3*w. Suppose -81 = -10*k + 37*k. Let i(s) = 7*s**2 + 10*s. Let d(r) = k*c(r) - i(r). Give 4*d(n) + 9*h(n).\nAnswer: 2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilometer in meters?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 320, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-247)\/91 - 2\/7. Sort 1, w, 4.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 22. Suppose 8*g - m*g - 102 = 0. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - n - 18167, -4*n = -8. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d - 1. Let h(l) be the second derivative of l**3\/3 + l**2\/2 + 10*l + 2. Determine 4*h(n) + 3*r(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 514603599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 10:28 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 20790 + 5?\nAnswer: 20795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141940931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7887 + 553 = -3*x + 2*a, 4*a = 3*x + 8450. Is x\/(-42) + (-14)\/(-147) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105897 and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -3*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -248.440915 - -381.4404. Let t = -133 + v. Round t to five dps.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -3) + (0 + 4 - -1). Suppose 3*b = -24 + j. Put 0, -1, -4, b in decreasing order.\nAnswer: 0, -1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*w + 4517 + 4264 + 4539 = 876*w for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 183460*t**2 - 2013067625*t - 5721962639370.\nAnswer: -5*(t + 4386)*(t + 16153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 2) + (-6)\/((-8)\/4). Let k(d) = 3*d**3 + 8*d**2 - 6*d - 12. Is k(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 + 318 = -11*n. Let g = n - -132. List the prime factors of g.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.9763 and -3?\nAnswer: 20.9289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -6 + 11 + -3 + 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.163 and -287?\nAnswer: 333.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-18)*((-30)\/25)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 - 8*c - 2. Let x = 3 + -11. Let w be g(x). Let b(t) = -4*t + 3. Let m(s) = 21*s - 16. Let n(k) = 11*b(k) + 2*m(k). What is n(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**4 + h**3 - 19*h**2 + h - 120. Let c(t) = -t**4 + t**3 - t**2 + t. Let z(p) = c(p) - n(p). Differentiate z(r) with respect to r.\nAnswer: -8*r**3 + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-605)\/(-44) - (5 + 2 + 9)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 17. Let t be q(7). Suppose -t*z - 24 - 1657 = -b, 0 = -4*b + 2*z + 6766. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22350127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 30. Let d be 3\/6*12\/z. Solve -2*g = d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l = 0. Suppose 0*a + 3*a - 9 = l. Suppose -a*n + 278 = 95. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 28, 37, 46, 55?\n\"Answer: 9*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -2*o**3\/3 + o**2 - 824*o. Suppose 0 = -c - 2*f + 11, -2*f - 4 = -c - c. Calculate t(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1658496 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 896622071 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 89490\/230 - 8\/92. Let u = 687 - l. Does 26 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2. Let o(b) = -9 + 10*b + 7*b + 15 - 6 + 8*b**2. What is o(l(g))?\nAnswer: 128*g**4 - 68*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(162)\/sqrt(9))**2.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iifiwdlii. Give prob of picking 3 i and 1 f.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 10*a**2 + 7*a. What are the prime factors of o(10)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, -143, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**6\/10 - n**4\/4 + 18*n. Solve u(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341331 - 3?\nAnswer: -341334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let b(p) = -p**2 + 167 - 11*p**2 - 167. Determine d(b(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w. Let c(y) = -y**2 + y. Let v(f) = 12*f**2 - 9*f. Suppose 53 = 5*d + 8. Let n(z) = d*c(z) + v(z). Calculate l(n(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1282, -2491, -3700, -4909, -6118?\n\"Answer: -1209*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.5, -18578, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, -0.5, -2, -18578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 3*g**2 - 3. Let x = 16 - 12. Let m(w) = -2*w**3 + 4*w**2 - 4. Determine x*b(v) - 3*m(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123 + -88. Suppose n = 4*m + 11. Suppose c - m*c = -5*v + 955, 573 = 3*v + 3*c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 4)*(-2*k**5 - 2*k**5 + 0*k**5).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 45529 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 109?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 8. Suppose -840 = -90*m + 87*m. Suppose 5*t - m = -x*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -479690 + 3357831\/7. Factor 6\/7*k**2 - 4\/7*k + s + 1\/7*k**4 - 4\/7*k**3.\nAnswer: (k - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/10 - 19*i**3\/6 - 3588*i**2. Let c(s) = 3*s. Determine c(v(u)).\nAnswer: -18*u**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.034361 + -4.468239. Let c = t - -0.0926. What is c rounded to one decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 9, -3 in increasing order.\nAnswer: -3, -1, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2660 and 7790?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -990, -1062, -1398, -2130, -3390, -5310?\n\"Answer: -22*u**3 + 82*u - 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188\/13 + -3253\/260. Let h = -581\/3 + 3407\/18. Find the common denominator of b and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/30)\/(33\/(-220))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18 - (95*(-19)\/95 + (-1972)\/36)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x + 427 - 427 in the form k*x + q and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.5, 105\/2, -112, 0, 3\/7 in descending order.\nAnswer: 105\/2, 2, 3\/7, 0, -0.5, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49\/(-101 + 52))\/(1 + 18)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. Let l = -11 - -18. Let d = 7.3 - l. Which is the closest to 0.1? (a) d (b) x (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 128 = -3*c - 64, -5*c - 34 = -z. What are the prime factors of z?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1853 + 7.\nAnswer: 1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1, -1\/2, -5, 664?\nAnswer: 664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 35181 and 0.12393 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3791?\nAnswer: 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/4*(-5)\/260.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -8*x + 336. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**2 - 2\/3*a**3 + 0*a + 5. Let l(c) = -1. Let s(p) = -2*p + 2. Let y(v) = 2*l(v) + s(v). Calculate y(k(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 638038 divided by -319019?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40888 is divided by 254.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 284931 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/3, 7\/2, 2\/11, 138?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 342 (b) -1\/6 (c) -15 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -80556*b**2 - 4*b - 8. Let r be c(-6). Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240464303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-14 + 0 + 3)) + -1 + -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 8*v + 12*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/7 and 23\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sbbb when four letters picked without replacement from bbbbbbsbbbbbbbbsbb?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 4:57 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5\/4, 2\/11, -28?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1.2821026.\nAnswer: -10.2568208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1298 + -1373. Is p at least as big as -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 6*g - 6. Let p be b(12). Suppose -t - t = -p. Let w be 0\/(6 + -13) - -22. What is the highest common divisor of t and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7137\/195)\/(-183)*315\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (2 + -5 + 15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**3 - 701*u + 7*u**3 + 2*u**3.\nAnswer: 2*u**3 - 701*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n - 17. Let r = -20 - -33. Let p(z) = -4*z + 8. Calculate r*p(h) + 6*b(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u + 28. Let x(i) = i**2 - 59*i - 682. Let j be x(69). Let q = u - j. What is the greatest common divisor of q and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 9*x + 24. Let n(s) = s**2 - 10*s + 12. Let b be n(6). What are the prime factors of r(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-1)\/((-1)\/(-18) - (-201)\/1809).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -3)\/(-2 + 5). What is the biggest value in 0.02, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.496 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 3\/7 (c) 0.3 (d) 5 (e) -1\/42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7567139538 to the nearest one million.\nAnswer: -7567000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/15 + 1247*d**5\/10 + 315*d**4 + 9*d + 227. What is the third derivative of o(z) wrt z?\nAnswer: -48*z + 14964","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63\/11043428 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*g**2*o*q + g**2*o + 28*g**2*q + g**2 + 946*g*o - g*q - 55*q wrt o?\nAnswer: -6*g**2*q + g**2 + 946*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1386\/715)\/(-9) + (46\/(-26) + 6 - 4)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 8*t - 3*t - 25, -5*t + 25 = -2*c. Let a be (-2 + 1)*(c - 143). Suppose 2*k + a = 3*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 19*y**2 - 2*y**2 + (-5 + 2 + 4)*(-y**2 + 3*y**2 - 5*y**2))*(-2*y**2 + 2*y**2 + 2*y**3).\nAnswer: 34*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.84564ug in nanograms?\nAnswer: 77845.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*s = 4*m - 82*s - 397, -3*m + 3*s + 300 = 0. Solve -m*f + 24 = -100*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*10944\/((-3933)\/(-69))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378.\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 1\/6, 46, 4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**4 + 0*w**4 - 86*w + 3*w**2 + 83*w - 2 to the form v + s*w**4 + t*w + o*w**2 + y*w**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/10289, 1\/3, 5, -0.3, -4, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29018?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/60)\/(5\/1*(-6)\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.239 - 0.249. What is the closest to g in 1, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203 (base 4) to base 5.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 51976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 0.1. Suppose -5*i = 4*b + 18, -5*i + b - 36 = -b. Let u = i - -6. What is the closest to u in -1\/3, h, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7882 (base 11) to base 13.\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 12\/(0 + 3). Suppose -k*z - 3*y = -13, 0 = -4*z - 3*y + 4*y - 9. Put 2, z, -4 in descending order.\nAnswer: 2, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86345794 - 3*n**3 + 86345794.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 183269271 to the power of 1\/2, to the nearest integer?\nAnswer: 13538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = j - 9, -5*j - 1 = 3*b - 24. Calculate the common denominator of (-525)\/12 + (-1)\/j and 95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17*(3\/(-45))\/((-38)\/(-114))\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -b8b?\nAnswer: b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4933*m**3 + 2467*m**3 + 2467*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 0*k - k + 13*k + 0*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5043374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -431*k - 601. Give q(-1).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1398)\/(-2097)*1\/((-6)\/4))\/((-138)\/27).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5184) + sqrt(5184)*-5)\/(1*-2*sqrt(12)) + -1.\nAnswer: -1 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjhyjhhyjhjyjyyhhyy. Give prob of sequence jy.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/930275 and 43\/2315.\nAnswer: 430717325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*k**2 + 4*k - 1345 + 1345 wrt k.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2.97, -17 in ascending order.\nAnswer: -17, -2.97, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3) - 22\/(-24))*1. Which is smaller: y or -79?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -137 + 135. Which is the smallest value? (a) 3 (b) q (c) 1 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h - 9\/2*h**2 + 6 - 6*h**3 - 3\/2*h**4 = 0. What is h?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**6\/57 + 14*v**5\/95 - 9*v**4\/19 + 44*v**3\/57 - 13*v**2\/19 + 6*v\/19 - 17. Determine t, given that c(t) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3242998729 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-750101)\/(-11543) + -65)\/(22\/14)?\nAnswer: -2\/187","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(14*s + 250 - 250)*(1 + 3 + 0) as t + m*s and give m.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -1\/5*v**5 + 0 + v**2 + 11\/24*v**4 + 1\/120*v**6 + 11\/6*v**3 - 87*v. What is c(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 j when three letters picked without replacement from {j: 7, e: 3, b: 3, q: 2}.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 8:49 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 30, 5, -1, 25, 1.\nAnswer: -1, 1, 5, 7, 25, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-3284)\/82 - (1624\/(-328) - -5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17425.\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 2 = 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32673, -130629, -293885, -522447, -816321, -1175513?\nAnswer: -1600029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 86 = -3*w, -126 = 11*w - 6*w - x for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3028 and 111708976?\nAnswer: 3028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + 106.05742912?\nAnswer: 106.03742912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48743 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + 155471317?\nAnswer: 155471383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 321792900*a**2 - 93*a - 1 - 321792968*a**2 - 1 + (-2*a + a + 2*a)*(2*a - a + 0*a) to c*a + w + q*a**2 and give c.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-1))\/(-25 - -22)*((-12 - 1) + 1)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 598 and 58344?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 7*u - 18. Suppose -4 + 1 = -j, -2*p + j - 3 = 0. Suppose 2*k + k - u = p. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -1 (d) 8\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2. Suppose 3*g - 7 - 14 = 0. Suppose -2*d - 4 = 4*k, g*k - 2 = d + 5*k. Which is the second smallest value? (a) d (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 195494, 390765, 586032, 781295, 976554, 1171809?\n\"Answer: -2*j**2 + 195277*j + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2930, 5858, 8786?\n\"Answer: 2928*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(275))*1 - (-3 + sqrt(1331) + (sqrt(1331)*3)**2).\nAnswer: -11976 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 - w**2 + 4*w**2)*(-2*w**2 + 5 + 5555*w - 5622*w - 2).\nAnswer: 2*w**4 + 67*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51091045?\nAnswer: 5, 229, 44621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -5\/9, -6\/11, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-11195)\/3)\/(21242\/(-624) + 34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(30\/10 - 19\/5). What is the biggest value in -1, -3\/5, w, -20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35846 divided by -1.\nAnswer: -35846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -27 - 2 - 2*a**2 + 26. Let x(i) = 3 - 6 + 2. Give g(c) - 3*x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/2)*q**(-2\/13))\/((q**(1\/6)\/q)\/(q*q\/((q\/(q*q**(-3)*q))\/q)*q))*((q\/(q\/(q*(q**(-6)*q)\/q)))\/((q**0*q)\/q*q))**12 assuming q is positive.\nAnswer: q**(-2645\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15 + 1\/1 + 4. Suppose h = 12*m - 112. What is the remainder when 63 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 22103?\nAnswer: -22103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66)*1 - sqrt(66))*3 + sqrt(66) + -2*sqrt(66)*2)\/(3*((sqrt(6) - -1*sqrt(384) - sqrt(6)) + sqrt(6)*1*-4)) + 5.\nAnswer: -sqrt(11)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-6) - ((-25)\/10 + -2). Solve -2*f + 2*m = -10, -f + 2*m + l + 6 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (132\/110)\/(6\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9, j: 3}. Give prob of picking 3 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36864, 36860, 36856, 36852, 36848?\nAnswer: 36844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2214, -2217, -2222, -2229?\n\"Answer: -s**2 - 2213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 43 = 103 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44101767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -43) + (1 - 14) + (-1 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 11193493.2715?\nAnswer: 11193490.2715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -82, 2 in increasing order.\nAnswer: -82, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -75. Let j = 18 + w. Let f = 30 - j. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*((-3)\/(-12) - 29\/20). Let r be (-2)\/((-10)\/a*2\/(-5)). What is the first derivative of -6*s**3 - 4*s**r - 4*s**3 + 15 wrt s?\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hderh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17151 - -17150.8. Let h = -21 - -18.6. Let y = h - -2. Which is the closest to i? (a) -5 (b) 2\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 511, 1023, 1535, 2047, 2559?\nAnswer: 3071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 13406\nAnswer: -5362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-2 - 4 - -15) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8125835 to the power of 1\/2, to the nearest integer?\nAnswer: 2851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50776 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 555, 557, 559, 561, 563, 565?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g + 82*g + 23*g)*(-37 + 37 + 22*g).\nAnswer: 2090*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2456 and 921.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) + 1694\/(-99) + 18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -713*c**2*j + 137*c**2 - 1 wrt j?\nAnswer: -713*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 690 = -4*r + 12*a + 726, 10*r = 12*r - 0*a + 4*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 9*g**2 - 3*g + 3. Determine l(6).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:07 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(4400) - (sqrt(44) + sqrt(3564)*-1)**2 - ((sqrt(1100) + 0)*-3)**2.\nAnswer: -12718 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + l - 4 = 0, 0 = 4*y + 3*l - 3 - 1. Let j(h) = 3*h**2 - h + 1. Let o be j(1). Let g be (30\/4 - 1)*2. Solve 3*p = -f - 4, -o*f - 2*f + g = y*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4361, -4384, -4407, -4430, -4453?\n\"Answer: -23*t - 4338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/(-60) - (-6)\/(-9). Factor 0*d**2 + 1\/8*d**5 + 1\/8*d + 0*d**4 - g*d**3 + 0.\nAnswer: d*(d - 1)**2*(d + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 3. Let o be x(2). Let k(g) = -2*g**2 + 4*g + 6. Let s be k(o). Let l = -255\/4 - s. Which is the closest to l? (a) -0.3 (b) 0.4 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 92284298.7 to the nearest 10000.\nAnswer: 92280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/m**(-1\/7))**23 assuming m is positive.\nAnswer: m**(-115\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12))\/(1\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from covorcwocrwg. What is prob of sequence cr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(2\/7))\/m*m)**(-1\/3))**(-2\/43))**(2\/3) assuming m is positive.\nAnswer: m**(4\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, 2, -2.\nAnswer: -2, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10205390 by 290.\nAnswer: -35191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 6*i**2 + 4*i - 4. Suppose 0 = -2*p - 4*n + 16, 2*n - 1 = -3*p + 15. What is the remainder when h(p) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5830 is divided by 158.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 28*c + 2. Let z be k(-28). Suppose z*d + 3 + 3 = 0, 0 = 3*v - 2*d - 666. Calculate the highest common divisor of v and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12016.2778 - -12016. Is l < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 9:51 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**5 + 0*q**5 - 2*q**5)*(-650 - 2248 - 4339).\nAnswer: -7237*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -161564.616 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9265690 to the power of 1\/2, to the nearest integer?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 - f**2 - f**2 + (-3 + 1 + 1)*(2*f**2 - 5*f**2 + 2*f**2) + 0*f**2 + 0*f**2 + f**2 + (-7*f**2 + 2*f**2 + 3*f**2)*(-1 + 4 - 4).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 175656 (base 16) in base 10?\nAnswer: 1529430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-319)\/1595*(-80)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) -109 (b) -32 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 12) to base 6\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 388539796 and 10.2?\nAnswer: 388539785.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 divided by 41826?\nAnswer: -77\/41826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/18354 and 97\/126?\nAnswer: 55062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.36, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -7600*f**5\/3 + f**4\/12 + 5*f**3\/3 + 26*f**2. Let l be k(-5). What is l rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47383496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**2 - 234*i + 1170. What is f(29)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 + 2*q. Let s(x) = -2*x**3 + 5*x**2 - 2*x. Let b(k) = -k**3 + 7*k**2 - 4*k + 23. Let r be b(7). Give r*o(u) - 4*s(u).\nAnswer: 3*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22363330 rounded to the nearest 100000?\nAnswer: 22400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67510 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 25*k**2 + 3*k + 9. Let x(a) = -25*a**2 - 4*a - 8. Let f(u) = 4*n(u) + 3*x(u). What is the derivative of f(y) wrt y?\nAnswer: 50*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34\/111 + -1\/37. Let r(g) be the first derivative of g**2\/2 - 17*g + 27. Let v be r(12). Which is the closest to -1? (a) v (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2142 divided by -126?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**7\/360 - f**6\/360 - f**4\/4 + 6*f**2. Let s(c) be the second derivative of j(c). Find the second derivative of s(o) wrt o.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:01 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 15*h = 1969. Let a = 624 - 623. What is the second smallest value in h, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13602 is divided by 8668?\nAnswer: 4934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 6, i: 6, a: 3}. Give prob of picking 1 q, 1 w, and 1 a.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -32 + 51 + -31.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27046598 and 8?\nAnswer: 108186392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i - 41. Let m(k) = 9*k**2 + 33*k + 61. Let a(s) = -5*s**2 - 17*s - 31. Let c(x) = 7*a(x) + 4*m(x). Let b be c(-5). Is q(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 35 = -2*m. Let p(c) = c - 3. Let j be p(m). Suppose -5*r = j*d - 411, 5*r - 416 = 6*d - 5*d. What are the prime factors of r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130438*h**5 + 16*h**4 - 6373984*h**2 wrt h?\nAnswer: -7826280*h**2 + 384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7358 and 1300.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-59)\/(-20) + (-1)\/4 and 2\/(-8) + (-2)\/(-56)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**5\/20 + 5*p**4\/6 + 11*p**3\/6 - p**2\/2 + 4*p. Determine l(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 5*f + 90. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 427 - 387. Suppose 12*p = 11*p - 39. Let h = p - -61. Calculate the least common multiple of h and o.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/30*(7 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*b**3 + 0*b**3 - 3*b**3)*(12 - 1 + 1)*(0 - 2 + 0) to the form a*b**2 + t*b + s + y*b**3 and give y.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 13*v - 5. Let u be m(9). Let y be (60\/u)\/((-2)\/5). Solve y = p - 0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 4*x**2 - x + 8. Let f be d(4). Let l be (f\/3)\/(16\/12). Which is bigger: -0.2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 1. Let t(l) = 9*l - 4. Suppose -358*u = -348*u + 10. Give u*t(x) - 4*k(x).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-2)\/4)\/((-195)\/624))\/((-4)\/(-117370)) a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2000) - sqrt(2000))*-5)\/(-3*sqrt(16)*-2).\nAnswer: 25*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 9. Suppose s = -0*m + 3*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 16*n - 18.\nAnswer: 2*(n - 9)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 + 18991818*x.\nAnswer: 3*x*(x + 6330606)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -168, -2?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 966384 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 36b?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 946549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141023 is divided by 28161?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 147472 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(13\/(52\/88)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*i**5 + 155*i**4 + 875*i**3 + 925*i**2 - 870*i - 1080 = 0. Calculate i.\nAnswer: -3, -2, -1, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**3 - o**2 + o**2 - o**3.\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434772 by -3716.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111220 + 3?\nAnswer: -111213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.158 and 3?\nAnswer: -0.474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at least 231\/67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -16) + (5 - 25 - 0)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22252041 (base 6) to base 12\nAnswer: -287021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 25*f**2 + 25*f - 18. Let d be h(24). List the prime factors of 2\/(-3) - (-1926)\/81*d.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 16*f**2 - 130*f + 13. Determine q(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2307 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 0.8 (c) 0.41 (d) 47 (e) 0.3 (f) -2 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -44 + 16. Suppose s - c = 2*q, 5*q - 41 = -s - 13. Calculate the highest common divisor of 65 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5466860 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -8*h + 396. Suppose 0 = 9*v - h*v + 135. Sort -21, v, -4 in increasing order.\nAnswer: -21, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -456, 0.01 in decreasing order.\nAnswer: 2\/7, 0.01, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*i**2 + 1386*i - 1386*i)*(4*i - 4*i + 2*i**3) + (0 + 2*i + 0)*(2*i**4 - 7*i**4 + 3*i**4) - i**5 - 3*i**5 + 2*i**5.\nAnswer: -158*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/7, 2\/3, 7, -17, 5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 4*j**2 - j + 2. Let t = 40 - 44. Let d be i(t). Solve d = 2*a - 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 1, b: 8, y: 1, c: 8}. What is prob of sequence ycl?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-2))\/((-6)\/12). Sort -4, s, 0.3, -0.1 in descending order.\nAnswer: s, 0.3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, -1, -28, 3, 4 in descending order.\nAnswer: 233, 4, 3, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*t - 28, -3*j = 1395*t - 1392*t + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -1.1. Let p be (-54)\/(-60) - 1\/2. Which is greater: p or t?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 9\/(-12) + -1. Which is the nearest to 1? (a) -5 (b) t (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.24 - -0.2. Round g to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/13, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*r + 2 = -25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/21, 2, -5, 5, -0.2, -1.53?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*h**2 - 162*h - 7533 wrt h.\nAnswer: -40*h - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/927 and -29\/1854.\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89675 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 607, 606, 605, 604, 603?\nAnswer: 602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 25 = -t + 3, 3*s = -5*t + 48. Let u be 126 + 0 - t\/(-6). Let f = u - 38. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113199 greater than 6678715\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1193 + 1195. What is the second smallest value in -2, -1, x, 4.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 285190 - 142595 - 142595 - 838*z.\nAnswer: -838*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3 - -439.\nAnswer: 443.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 a when four letters picked without replacement from fffgjfgfajaagaggjagj.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((4\/(-35))\/((-6)\/(-157965)))\/(4\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 + -232344?\nAnswer: -232254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -63. What is the remainder when 283 is divided by (19*1)\/(8 - 92\/c)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-1)\/(3\/3). Let g = j - -4. What is the second derivative of -a + 0*a**g + a**5 + 2*a wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, s: 2}. Give prob of picking 1 u and 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = u. Suppose -4*y = 2*m - 6, u*y - 2*m + 6 = 3*y. Solve p + y*p = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 11, 6, 3\/5, -4\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d + 17*d - 3*d**4 + 13 - 57*d**3 + d**2 + 7*d**2 - 9*d**2 - 15 to the form j + r*d**2 + u*d + g*d**4 + s*d**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -62, -104, -164, -248, -362, -512, -704?\n\"Answer: -s**3 - 23*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtp. Give prob of picking 1 g and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3*q = -14, 5*w + 650*q - 645*q + 20 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -9. Suppose -s*n = -3*n + 5. Let d(o) = -o**3 - 3*o**2 + 4*o - 4. Is d(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121919295*x**3 - 93971555*x**2 wrt x?\nAnswer: 731515770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = -2*v. List the prime factors of v\/9 - (-86)\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022616 + -15799121194?\nAnswer: -15799121194.022616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 54*h = 11165. What is the remainder when 1012 is divided by h?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-288))\/(2674\/15280)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 5212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*i + 13 = 0, -5*i = -2*w + 6*w + 17. What is the remainder when 13 is divided by 6 - ((-6 - w) + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5342 + 11391 = 577*v for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 3*b - 16 = -15*v, -v = -3*b - 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60289 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -13*i - 7\/2*i**2 - 19. What is the units digit of j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -536676 (base 11) to base 13.\nAnswer: -24069c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u**2 + 0*u**2 - 2*u - 5*u**2 - 4 + 2. Calculate f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24116 (base 7) to base 2.\nAnswer: -1100001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 - -281. Suppose -68 = z*d - 134*d. Let v(m) = 3*m - 26. What is the units digit of v(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h**4 - 60*h**3 - 9*h**2 + 50*h + 5. Let k(d) = -14*d**4 + 30*d**3 + 5*d**2 - 24*d - 3. Let u(z) = 5*k(z) + 3*p(z). Factor u(t).\nAnswer: 2*t*(t - 15)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1963056 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:26 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184666480.\nAnswer: 2, 5, 233, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1217909 and 1287.\nAnswer: 142495353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k**3 + 16*k**2 - 4*k - 41. Suppose 7*a = 14 + 70. Is w(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*f*f**(-9))\/((f*(f**(-5\/2)*f)\/f)\/(f*(f\/(f**(-2)\/f))\/f*f*f)) assuming f is positive.\nAnswer: f**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298348267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189091?\nAnswer: 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468212.\nAnswer: 2, 3, 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68312 and 300?\nAnswer: 5123400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mubdw. What is prob of sequence bduw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -147655 in 51, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 56.737.\nAnswer: -3.97159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = -k + 5*y - 102, -292 = 3*k - 4*y. Let j = -59 - k. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f + 12*b, -6286779*f + 6286782*f + 3*b - 15 = 0 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*2*-1)\/(sqrt(9) + sqrt(90)\/(1*sqrt(10) + sqrt(10)) + sqrt(9) + sqrt(9) - (-1*sqrt(576) + sqrt(576) + sqrt(576)))*-4.\nAnswer: -128*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(6\/(-8) - (-4)\/(-16)). Let i(n) = -n**3 + 8*n**2 + 3*n - 17. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-22)*t**(-35))\/(t*t**(-22)*t*t**15) assuming t is positive.\nAnswer: t**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -47, -36, -27, -20, -15?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3397 * -0.9\nAnswer: -3057.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -5*g - 2*g + 24151, 4*s = -2*g + 6916. Calculate the highest common divisor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5294 bigger than 37060\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 467023*h.\nAnswer: -h*(h - 467023)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 8. Suppose 9 = j*g - w, 2*g + 2*g = 4*w + 20. Solve -3*v + g - 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qoooqqqgqqqqqgcqog. What is prob of picking 2 o and 2 g?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w**2 + 6110044*w - 3394480 = 0. What is w?\nAnswer: -169724, 5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*t + 2, -3*t = m + 4 - 0. Suppose 3*j = m*u + 1, 2*u = -2*j + 9 + 5. What is the greatest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4 - o**3 + 2*o + 4 - 4 + 2*o**2. Calculate m(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2 + g - 2. Let m(d) = -5*d**2 - d + 3. Let y(a) = 7*m(a) + 6*u(a). Determine y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - -3*4\/6. Let w be 6\/k + 2 + -2. Let s = 0.02 + -2.02. Which is the third biggest value? (a) 0.2 (b) w (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6661857us to seconds.\nAnswer: 0.0000006661857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d2cb - 304?\nAnswer: 5cdc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1529356709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.1346, -0.7?\nAnswer: -0.1346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/10)\/(4\/10). Let s be f\/22 + 31\/11. Find the first derivative of -m + 0*m - s + 5 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*sqrt(500).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/7 - 8855072*r\/7 + 9801537515648\/7 = 0.\nAnswer: 2213768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:27 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 536170489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 3*m)*(-2*m - 2*m + 5*m) - 13*m**2 - 43*m**2 + 22*m**2)*(-3*m + 3*m - m).\nAnswer: 31*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 + n**2)*(68 - 9 + 7).\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1534289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -22 - (-2 + -4) - -17.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (3*-3)\/(-3))*0. Suppose -4*f + 16 = -3*r, -3*f - r + 3 + 9 = k. Suppose 0 = -2*v - f + 12. Solve 0 = -4*x + v - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + (0 - -2))\/2. Sort -3, r, -2 in decreasing order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h**5)*h*h*h**(2\/11)*h)**(-26\/3) assuming h is positive.\nAnswer: h**(520\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-455))\/(4\/10)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3440753?\nAnswer: 457, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 354 + -351. Solve -p*o + 2*d = 8, 4*o + 3*d + 18 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39441937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyr when three letters picked without replacement from zycccyyrcc?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(2)*-4)\/(sqrt(640)*3))**2 + 4.\nAnswer: 49\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**4\/24 + 2*s**2. Let w(t) = -t. What is w(k(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/78)\/(48\/(-320)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**3\/11 + 178*o**2\/11 + 1784*o\/11 - 1960\/11 = 0.\nAnswer: -10, 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 12*o + 10. Give h(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000388170231 rounded to 6 dps?\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-16192)\/(-2816))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y - 1. Calculate o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45007 or 45009?\nAnswer: 45009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -2376 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 965 (b) -3142 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -3 + -2 + 3 - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3047, 5606, 8165, 10724?\n\"Answer: 2559*h + 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j\/((j\/j**(-1\/9))\/j)))\/(j*j\/(j**(-15)\/j)))\/(((j\/(j\/((j\/(j\/j**2))\/j)))\/j)\/j**3) assuming j is positive.\nAnswer: j**(-152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 16*q**3 - 5*q**2 - 3*q - 5. Let o(i) = -18*i**3 + 6*i**2 + 3*i + 4. Calculate 6*l(b) + 5*o(b).\nAnswer: 6*b**3 - 3*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s**2 + 3*s - 2. Let t(v) = -v**3 + 4*v**2 + 3*v - 4. Calculate the remainder when t(3) is divided by f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 166 - 165.5. Let c = 0.02 - -0.08. What is the third smallest value in c, z, -3, -4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/16)\/(-2*5\/16).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 442 and 5304?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 28*w - 4. Let z be r(32). Let i = 122 - z. What is the tens digit of (-86)\/(-4)*1*i\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 1. Let z be o(3). Suppose -z*j + 0*j = -36. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*a**2*r - a**2*x**2 - 100*a*r*x**2 + 6*a*r*x + r*x wrt x?\nAnswer: -2*a**2 - 200*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (0 + -5 + 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tzbbfznx. What is prob of picking 1 x and 2 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-42) - ((-1305)\/(-54))\/29?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y**3 - 5*y**2 + 1. Let c(r) = -8*r**3 - 6*r**2 + 1. Let d(j) = -6*c(j) + 7*h(j). Suppose -n - 147 - 204 = 0. Let x = n + 352. Give d(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -6*h + 8. What is i(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1140982077 a multiple of 3387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2\/q**(2\/13))**21 assuming q is positive.\nAnswer: q**(504\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(84) - (sqrt(84) + 3*(sqrt(84)*2 + sqrt(84) - sqrt(84) - sqrt(84))))\/(sqrt(63) - sqrt(252)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*r + 120*j**3 - 2*j**2*r + 32*j*r - 2*r wrt j?\nAnswer: -6*r + 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 314*f - 315. Let l be j(-1). Solve l*p - 3*y + 7 = 0, -2*p + 0 = y - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -9. Suppose d + 2*r = -3*d + 888, j*d + 5*r = 673. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 109 + -119. Let w = 26 - -14. Suppose -2*m + w = -6*m. Do m and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 143*a**2 + 1390*a + 23. Calculate p(-9).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 844 - 822. Solve -t*l + 12*l + 16*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82929 or -76498?\nAnswer: -76498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 3*t + 5. Suppose 18 = 5*n - 2*g, 0*n = 5*n - 4*g - 16. Suppose -c - 5 = -o, -n*c + 2*c + o = 9. Calculate v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + 13 + -162 + 23 + 22.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0886 * 1\nAnswer: -0.0886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*h, 2*w - 14 + 11 = 5*h. Solve w*i - 3 = r - 0*r, -4*r = i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 814*f**3 - 8327*f**2 - 71832*f - 118656.\nAnswer: (f - 16)*(f + 3)**2*(f + 824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50388570 a multiple of 1185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30787 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/6)\/(1\/(-1)))\/(36\/54).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101\/(-7272)*24*87?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3\/7, 0.4, 0.2, 1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -27.9 and -40105.54.\nAnswer: -40133.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-69)\/(-45) - 1\/5. Suppose 2*o + 3*m = 135 - 145, 4*o + m = -10. What is the fourth biggest value in -10, a, -4, o?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -11829*m**2. Let q(z) = -2*z**2. Calculate k(q(l)).\nAnswer: -47316*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 20*f - 14. Calculate the remainder when 239 is divided by i(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 19 + 3 = -n, -3*n + 88 = -5*w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 56354024 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*w - 13*z + 7*z, 0 = w + 3*z - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 1. Let z be 4\/(-16) - 34\/y. Let x = 10 - 5. Solve i + z = -2*v, -13 = 3*v + x*i - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t. Let p(n) = -2459779*n**2. Determine p(x(y)).\nAnswer: -39356464*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 13*g**3 + g**2 - 3*g + 3. Let z be j(2). Let t be (z\/10)\/(3\/4). Calculate the smallest common multiple of 2 and 4\/t + (-138)\/(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2725\/(-75) - -37 - ((-2)\/2 + 4).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/304 - (-1524)\/38. Let h(i) = r*i + 33*i - 82*i. Let n(t) = 3*t. Calculate h(n(j)).\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/43851926 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m**2 + 25*m - 80. Determine c(6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 132\/(-21) + (-2)\/(-7). Let q(n) = -n**3 - 6*n**2 - 3*n + 4. Calculate the least common multiple of q(z) and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 2 + 2 + (2*j - 3*j + 2*j)*(-2*j + 0*j + j) + 57 - 57 - 3*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 24*m + 3. What is the units digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*t + 1076*t - 6 - 264*t - 12 + 19 to l*t + b and give l.\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 26*w**3 - 30*w**2 - 379*w + 41. Let v(u) = -u**3 + u**2 + 15*u - 1. Let b(p) = -25*v(p) - z(p). Let g be ((-10)\/(-8))\/(1\/4). Calculate b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.4. Let j = 71.105 - 0.105. Let z = -76 + j. Sort 4, z, d.\nAnswer: z, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-24 + (36 - 23))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -103365, -108059, -112753?\n\"Answer: -4694*a - 98671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547, 1113, 1679, 2245?\nAnswer: 2811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2598 and 4545634.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5189231 + 0.03909399.\nAnswer: -5189230.96090601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(28)\/sqrt(4)))\/sqrt(5).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1010430 (base 5) to base 8\nAnswer: 37755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -232*z. Let x(k) = 2*k + 2. What is n(x(d))?\nAnswer: -464*d - 464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + 15. Suppose -c - r = 2*c. Let s = c - -22. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3283 and 4221.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -270*x - 269*x + 543*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*s + 1. Suppose -u + 5*j = -66, -2*u + j + s*j = -118. What is the remainder when u is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 418951*g**3 - 5291*g**2 + 5291. Let t(f) = 475*f**3 - 6*f**2 + 6. Give -6*a(w) + 5291*t(w).\nAnswer: -481*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -50. Let m = u - 37. What is the second biggest value in m, -2\/15, 0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 1780*u + 3540.\nAnswer: 5*(u + 2)*(u + 354)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 605889*z**4 + 171894.\nAnswer: 2423556*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1705063 by 32171.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 0, 6*b - 2*b - 11 = -j. Suppose 0 = 4*v + 4*c + 28, 2*v - v + 2*c = -9. Let r be (-4)\/(-14) + 10\/14. Sort v, j, r.\nAnswer: v, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 3*n**2 + 2*n**2)*(13 - 5 + 2)*(2 - 2 + 2)*(-3 - n + n - n).\nAnswer: -80*n**3 - 240*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -573*h**4 + 2861*h**4 + 817*h**4 + h**4 - 3*h**4 + 0*h**4 + 3*h**4 - h**4 + h**4 + (-h**4 + 3*h**4 + 0*h**4)*(-2 - 3 + 4).\nAnswer: 3104*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -23495*z - 2. Let y(t) = -23494*t - 3. Let d(h) = 7*c(h) - 6*y(h). Let f be d(4). Round f to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -9. Suppose 117 = 5*s - x, -i*s + 34 = -2*x - 32. What is the highest common factor of 24 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.06 + 0.06. Let g = -190 - -303. Let t = 563\/5 - g. Which is the second biggest value? (a) -0.5 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 3, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -4, -62, -43, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.566 rounded to 1 decimal place?\nAnswer: -123.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36880482*b**3*n**2 - 256*b**2*n**2 + 10*b - 2863 wrt b?\nAnswer: -221282892*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 161.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l + 0 + 34\/105*l**7 + 31\/30*l**6 + l**5 - 196*l**2 + 1\/84*l**8 + 0*l**4 + 0*l**3. Determine a so that f(a) = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 41*i**2 - 92*i - 2114. Determine k(-42).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -448\/13, 4, 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 216642208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 0*t - 18 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-310)\/((-85)\/(-17)))\/((4\/1)\/2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*a = a, 4 = 4*a. Suppose n*y - 328 = -4*h, 3*y = -5*h - 0*y + 409. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 156748.1249893 - 156761.725. Let l = q - -13.6. What is l rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2108*y**2 + 930*y**2 + 2291*y**2. Let h(b) = -2*b**2. Give h(i(s)).\nAnswer: -2477538*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose 4*f + v*b = -10, 4*f = -0*f + 2*b - 20. Calculate the common denominator of (6\/(-20))\/(f\/250) and 59\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -23. What is the closest to y in 13\/2, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66686 times -1232?\nAnswer: -82157152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hc when two letters picked without replacement from hcchhccccc.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12702\/116*(-4)\/(-6). Let d be (68 - k) + 17\/3. What is q in -2\/3*q**3 - 2*q**2 + 4\/3 + d*q + 2\/3*q**4 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 3. Let i(o) be the first derivative of o - 1. Let m(b) = b**2 + 17*b - 17. Let r be m(-18). Determine r*g(h) - 4*i(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 255404854169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + 1*sqrt(143)*-4 + sqrt(143))\/(sqrt(176)*-2) + (sqrt(572)\/sqrt(176))\/(1*sqrt(4)*-2 - sqrt(4)).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 11:22 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82328?\nAnswer: 2, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 5*y + (-27 - 30 + 138)*(-3*y + 4*y - 6*y))*(9*y**3 - 9*y**3 - 4*y**4).\nAnswer: 1608*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*m - 1500 = 70*m. Let b = 197 + m. What is the least common multiple of b and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 155 * -1179.\nAnswer: -182745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 - 4*i + 3. Let a be (8*1)\/(2 - 0). Suppose 0 = -2*z + a*z - 20. Suppose z = -4*v - 10. Determine t(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2. Let u(y) = -39*y. Let h(l) = 17*l. Let i(x) = 9*h(x) + 4*u(x). Determine w(i(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3954, -5279, -3978, -57, 6478?\n\"Answer: -w**3 + 1319*w**2 - 5275*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.7. Let z = -2.5 - o. Let v = 3 + z. Which is the smallest value? (a) v (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-2\/7)*n*n*n**(1\/4)*n assuming n is positive.\nAnswer: n**(111\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 16892\/5657 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 4. Let s be -3*(-2)\/3*n. Let l(a) = -1 + 0 + a**3 + s*a**2 + 2*a**2. Give l(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -307 - -310. Let i be (-2 - -3)*(p + 2). Which is the second biggest value? (a) 3 (b) -1.8 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590333 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 860.5 + 0.037490648.\nAnswer: 860.537490648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v - 857 - 799 = -141*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 855.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 39*g**3 - 2*g**2 + 8. Let n(x) = 38*x**3 - 3*x**2 + x + 8. What is 3*h(w) - 2*n(w)?\nAnswer: 41*w**3 - 2*w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(2\/4 - 2). What is the highest common factor of 27 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/(165\/(-248))*498\/664 and 91\/45?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -8, 0.3, -6, -1, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-7) + 14\/6. Which is the smallest value? (a) i (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21813637?\nAnswer: 23, 223, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + 16. Suppose 0 = 5*u - 64 - v. Let j = -464\/3 - -154. Which is the third smallest value? (a) -1\/10 (b) u (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-77))\/(70\/(-315)*(-18)\/28).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -12 + 153664*k + 56*k**4 + 21952*k**2 + 4\/5*k**5 + 1568*k**3. What is g in i(g) = 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 28*b + 50*b + 2*b**2 - 22*b.\nAnswer: 2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113792 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 7) + 5 + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:54 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.2 + 48.8. Let t = -66.1 + x. What is t rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005241091 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**2\/3 - 3076048*c\/3 - 1025348 = 0.\nAnswer: -769011, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7397164678 - 59.\nAnswer: 7397164619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/28 and 59\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, 0.05, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.24 - -4.24. What is the second biggest value in 2\/17, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 6:26 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z + 80. Let r(w) = w**3 + 15*w**2 - 16*w + 8. Calculate the lowest common multiple of 14 and r(z).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -1, -29, 0.51, -0.1 in ascending order.\nAnswer: -29, -6, -1, -0.1, 0.51, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/((t\/t**(-4\/11)*t*t)\/t)*t*t*(t\/(t\/(t\/t**2)))\/t*t*(t**(-2\/11))**17 assuming t is positive.\nAnswer: t**(-27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from {y: 2, u: 1, d: 2, g: 1, s: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1124820 to the nearest ten thousand.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 113 - 805. Is 39 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 2*i**2 + i. Let c(s) be the second derivative of s**3\/2 - 73*s**2\/2 - 12*s. Let g be c(23). What is o(g)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1298 + 2112. What is the remainder when x is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.22977 - -1.45123. What is the nearest to t in 4\/3, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1155.943778 + 1156. What is w rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2090*g - 38. What is the units digit of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 - 2*y + 6. Let t(r) be the second derivative of -5*r**4\/12 - r**3\/2 + 11*r**2\/2 + 8*r. Calculate -7*p(i) + 4*t(i).\nAnswer: i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/21)*m*(m*m*m**(-8))\/m*m*m*m)\/(m**(-7\/6)*m**7*m) assuming m is positive.\nAnswer: m**(-125\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1980167514?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 58. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64621*j**4 + 5633*j - 31313*j**4 - 29789*j**4 wrt j?\nAnswer: 42228*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111 - -119.7. Let x = p + -13.7. Let w = -8 + 8.3. Put w, x, 1, 4 in descending order.\nAnswer: 4, 1, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 a when three letters picked without replacement from {x: 1, l: 2, a: 2, i: 1, e: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -90 - u + 0*u - 87 + 178. Let n(g) = -2*g**2 - 2*g + 2. Let y be n(-2). Determine x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Suppose o - 128 = -o. Suppose -v = -5*v + o. Calculate the smallest common multiple of b and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49*19\/(-133)*6\/35.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 717\/11 + -65. What is the nearest to 1 in -1\/4, 2\/23, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 193*g**4 + 2031*g**3 + 3*g**2 + 68534 wrt g?\nAnswer: 4632*g + 12186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 709954*-19.\nAnswer: -13489126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 6*l - 17. Let o be (24\/(-5))\/((-12)\/30). Let w be b(o). Let x = w + -35. Is x a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-7))\/((-4362)\/10178)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1188318 is divided by 297077?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Is (2\/(-2))\/(l\/106) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.4, 3\/4 in decreasing order.\nAnswer: 7, 3\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mvv when three letters picked without replacement from {v: 4, m: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 145, 1 in ascending order.\nAnswer: 0.3, 1, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-24) - 2 - 208\/12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + a - 1. Let d(p) = 13*p**3 + 22*p - 10. Let i(q) = 324*q**3 + 549*q - 252. Let w(s) = 99*d(s) - 4*i(s). Give -18*r(n) - w(n).\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 - (-64 + (13 - -258))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 92, 0, 3\/8, -1\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*c + 173 + 303 = -144 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 87. Is x\/(-3)*(-66588)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84662006 and 2210.\nAnswer: 423310030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 + 218 = 14*b. Suppose -24*l + 5425 = -b*l. Round l to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 0 (b) 4 (c) -4\/7 (d) 393\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937817.\nAnswer: 83, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.152 + -0.552. Let b = -1167\/65 + 89\/5. What is the third smallest value in l, -0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 103. Differentiate -2*k - 109 + 8 - 149*k**4 + a*k**4 with respect to k.\nAnswer: -260*k**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (24\/36)\/((-4)\/(-72)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**5 + 2*j**4 - 2414073*j**3 - 3*j**2 + j + 921614 wrt j.\nAnswer: -60*j**2 + 48*j - 14484438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5*u - 454 = -0*u, -310 = -2*w - 4*u. Let n = w - 53. Calculate the highest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1006744*c - 6864921 wrt c.\nAnswer: -1006744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92341.82 litres?\nAnswer: 92341820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 14 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 26*o**2 + o + 36. Let p be k(-26). Let t be (48\/p)\/((-6)\/20). What is the common denominator of -7\/40 and ((-4)\/t)\/((-11)\/53)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 223713387 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-870)\/(-58)*3*6\/(-18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15974 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -200942, -200947, -200954, -200963, -200974, -200987, -201002?\n\"Answer: -v**2 - 2*v - 200939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2. Let p(w) = -181*w**3 - 6*w**2 - 3*w - 37. Let l(g) = 6*f(g) + p(g). Find the second derivative of l(k) wrt k.\nAnswer: -1086*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*10\/35*1. What is the third biggest value in -0.2, p, 2\/11, 9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267931 is divided by 1567?\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310296790 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: What comes next: -47, -50, -51, -50, -47, -42?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9 + 2*a**5 + 9 - a**3 + 18*a + 77*a wrt a?\nAnswer: 40*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4540 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1587751.245 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 - (-8 + 0). Let m = c - 4. Suppose 7*j - m*j = 60. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -9*n**6\/200 + 3*n**5\/50 - n**4\/30 - n**3\/2 - 5*n. Let r(a) be the second derivative of g(a). What is s in r(s) = 0?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.0546 - -1.06. What is r rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-10)*16\/40\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2127*s**3 - 2*s**2 - 2*s + 3. Let f(v) = 6380*v**3 + 7*v**2 + 6*v - 11. Determine 2*f(w) + 7*h(w).\nAnswer: -2129*w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -58609\/56189 - 1\/2443. Is j smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.42 - -1.13. What is w rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - sqrt(240)*1))*3)\/(sqrt(45)\/(sqrt(27)\/sqrt(3)) + sqrt(245)*2).\nAnswer: 4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2038 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15417 divided by 10.\nAnswer: -15417\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-266)\/15)\/19*(-150)\/(-90)\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + l + 27 = 0, -5*y - 5*l + 25 = 0. Suppose 368 = 7*a + 4*b, 0 = a + 10*b - 7*b - 55. Calculate the lowest common multiple of a and y.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-39)\/6 - (-1)\/2. Let t = c + 3. Let u(g) = -g**3 - g**2 + 2*g. What is the units digit of u(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1469 + -1399. Calculate the smallest common multiple of 60 and g.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39228425*l**4 - 352*l**2 - 60290 wrt l.\nAnswer: -941482200*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from rrrdmmemcycmymm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(4) + 1 + -3 + sqrt(8)\/sqrt(4) + 5.\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 30121?\nAnswer: -30122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -244643*v + 1223232. What is y(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/51))**(20\/13))**(-6) assuming t is positive.\nAnswer: t**(80\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h. Let k(a) = 1449*a + 161. Let g(j) = -23*i(j) - k(j). Let o(c) = -26*c - 3. Let d(l) = 3*g(l) - 161*o(l). Let y(z) = 5*z**2. Calculate d(y(n)).\nAnswer: -115*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40691833.\nAnswer: 7, 13, 139, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 2*c + 7. Let z(m) = -14*m**2 + 16*m - 48. Calculate -22*o(k) - 3*z(k).\nAnswer: -2*k**2 - 4*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 105 = 17*t. Let p(w) = -4*w + 35. Let z be p(t). Solve 5*f = m + z + 6, 3*f = 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167*h**4 + h**3 - 3*h**2 - 3*h - 28152 wrt h?\nAnswer: 2004*h**2 + 6*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 736*z - 732*z + 3*d - d + 2, -2*z - 6*d - 6 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**7\/840 + s**6\/360 - 29*s**3\/3 - s**2 + 19. Let v(b) be the first derivative of h(b). Factor v(q).\nAnswer: q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 12*d**3 - 6*d**2 - d - 1. Calculate o(-2).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 d, 1 c, and 1 b when four letters picked without replacement from qqcqzqqscbqqcdqccqq?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2449\/79*(4\/6)\/((-16)\/288*12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*d + 3*o, -19*d + 40 = -14*d + 2*o. Suppose 2*j = 3*q - 144, -q + 48 = -d*j + 5*j. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(76)*1*-2 + 4)**2.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/23056 and 77\/524.\nAnswer: 23056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*c - 2*c - 4 = 0, c + 14 = 4*h. Let g be (-5)\/1*h\/(-5). Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117956201.\nAnswer: 3, 163, 811, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 256\/18 - (-2)\/(-9). Suppose 13*u - 17920 + 17283 = 0. What is the greatest common factor of u and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3 + 5072*s**2 - 40672*s + 81408 = 0.\nAnswer: -2544, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -7 - (59 - 41)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1041456 and 416?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -3*w**5\/80 + 11*w. Solve l(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhe when three letters picked without replacement from emmhehemhmm?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.17, 32, 44 in increasing order.\nAnswer: -2.17, 32, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215 + -213. What is the remainder when 7 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 6:06 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4129777.3 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 + 16697*i + 116856. Calculate t(-7).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((((f\/(f\/(f\/(f**(-11)\/f*f*f))))\/f)\/f)\/f)))\/f**(2\/33))\/(f*(f*f**(2\/7))\/f*f*f\/(f\/(((f**(-2)*f)\/f)\/f))*f) assuming f is positive.\nAnswer: f**(1768\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220011 (base 3) to base 5.\nAnswer: -21011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -39290f (base 16) to base 13\nAnswer: -a12109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/90 and -19\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -1404, 9, 5 in ascending order.\nAnswer: -1404, -24, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22535 + -387b?\nAnswer: -261b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0109 + 0.01091347. What is a rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 78*j = -30 - 3. Let m = -0.3 + -0.2. What is the third smallest value in j, m, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1096072, 2192110, 3288102, 4384048, 5479948?\n\"Answer: -23*c**2 + 1096107*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58711717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f - 1. Let w(y) be the first derivative of -y**4\/3 - y**3\/6 + y - 1. Let k(a) be the first derivative of w(a). Let m be k(-1). Give x(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/12*13950 + (-32)\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w**4 - 2*w**3 + 2*w**3 + (-4 + 4 + w)*(-w**2 + 0*w**2 + 0*w**2)*(-3*w + 0*w + 0*w) as n*w**3 + m*w + r*w**4 + v*w**2 + y and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 94 - 106. Let f be (4\/(-6))\/(o\/12). Which is the closest to 0? (a) -4 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 4. Suppose 5*s - 5*c + 2*c - 76 = 0, 4*s = -4*c + 80. Let a = -10 + s. Let x = 4 - a. Calculate d(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7972.252ml in litres?\nAnswer: 7.972252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -19*f**2 + 2*f + 2. Let x(u) = -58*u**2 + 7*u + 7. Suppose -72*l + 69*l - 4*a + 5 = 0, -2*a - 36 = -4*l. Determine l*q(v) - 2*x(v).\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 131.2702192 + -0.1?\nAnswer: 131.1702192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 455 and 113555.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 0, -3, -3464, -16.\nAnswer: -3464, -16, -3, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 0*a + 4 + 3*a - 4*a + 3*a. Let h be p(3). Calculate the highest common factor of 80 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(252))**2 - sqrt(7)) + 2 + sqrt(7) + -5.\nAnswer: -12*sqrt(7) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2. Let q be 143\/22 + 3\/(-2). Let x(c) = c + 8*c - q*c + 16*c. Calculate t(x(b)).\nAnswer: -400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - g + 4. Let t be q(-3). Let j be (-1)\/(2\/20*t). Solve j = -b - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-9))\/4)\/(2471\/(-533736))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 9*v**2 - 2*v - 12. Let a be x(-9). Let n(g) = -g - 5. Let q be n(-5). Let b = q + 0. Solve -5*w + a*k - k + 20 = b, -3 = 3*w + 2*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641510 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267417 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y + 37. Let g(x) = 3*x - 8. Give p(g(w)).\nAnswer: -12*w + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 2, -0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4575088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 4*x - 11 - 29, 2*x = 4*t + 50. Let n(k) = -3*k + 12. Let h be n(t). Suppose 41*s + 23*s + 168*s**2 + h*s**3 + 9 + 11*s = 0. Calculate s.\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*p - 10. Solve 808 - p*q**2 + 3*q**3 - 393 - 391 - 12*q = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*n + 24 = -0*s, -2*s - 5*n - 14 = 0. Suppose 5*g + 0*g - 20 = 0. Let d be (84\/30 - (-8)\/(-10)) + -1. Solve g*q + s = -d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 + 3*v - 1. Let a(s) = -s**3 - 7*s**2 - 7*s + 1. Suppose -11*j = 14*j - 175. What is j*u(p) + 3*a(p)?\nAnswer: -3*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 a factor of 38368638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 152\/20 - (-6)\/15. Suppose w = m + 2. List the prime factors of 8\/m*18 - 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120229 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 15. Let m(q) = q**3 + 19*q**2 + 32*q - 50. Let o be m(-17). Let a = r - o. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 19*r = 2*p + 78, -1 = r - p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*q, -4*i + q = -3 - 7. Suppose -5*l + 5 = 3*v, -1 = 2*v + 3*l - 4*l. Suppose v = -5*s + i*s + 45. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156))\/sqrt(12) - (sqrt(143) - (sqrt(143)*-1 - sqrt(143)))\/sqrt(11).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -94*y + 682. What is the smallest common multiple of 12 and f(7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -26. Suppose 5*o - 8 = 3*o. Suppose -21 - t = -o*c. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10166)\/(-221))\/(((-3)\/(-2))\/(3*2\/(-8))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3363969 and 1596?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*a = -23, 0*b - 3*b - 13 = 2*a. Let x(n) = n**3 + 7*n**2 + 8*n + 7. Let p be x(b). Let h = p + -7. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-66)\/(-21) + (-1 - (-18)\/21). Suppose 5*z = 3*p - 35, -3*p - 5*z + 7 = -n*z. Calculate the remainder when 24 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 + 23*h - 49. Give o(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180414 by 6.\nAnswer: -30069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 - 2 - 7*k**2 - 2*k**2 in the form y*k + i*k**2 + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjlojjjjjojjl. Give prob of picking 1 o and 1 w.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328702?\nAnswer: 2, 11, 67, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 15. Let n be u(0). Let v = n - -15. Solve -h - 4*h + 5 = v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/27 and 76\/580383.\nAnswer: 1741149","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -10220?\nAnswer: 10204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - n = -2 - 11, 5*s - 7*n + 15 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 + 42\/10. Suppose 13*n + 7*n + 40 = 0. What is the nearest to -13 in 4\/7, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1282 is divided by 96?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59469*q**2*t**2 - 20*q + 809*t**2 wrt q.\nAnswer: -118938*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23203 + 2?\nAnswer: -23201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -13*z - 0*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3441 + -1933. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -13\/3, -7, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 5 + 0*q - 18 in the form x + w*q and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396599?\nAnswer: 7, 53, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 152.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(68) + -2*sqrt(68))**2 + 3 + 5 + -3.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - -2 - ((5 - 1 - 15) + (2 - -9))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17583810?\nAnswer: 2, 3, 5, 53, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*s**2 - 2371 - 112*s**2 + 2371.\nAnswer: -250*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 16086848*d + 16086852.\nAnswer: -4*(d - 1)*(d + 4021713)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51947108, -103894216, -155841324, -207788432, -259735540, -311682648?\n\"Answer: -51947108*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 less than -278?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 3, 1962 in decreasing order.\nAnswer: 1962, 55, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*u + 5*t - 15*t, -595*t = -u - 597*t + 1 - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127846*-3.\nAnswer: 383538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22568, 45146, 67724, 90302, 112880?\nAnswer: 135458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*i**3 - 292*f**2*i**2 + 2*f*i**2 - 1931*i**6 + 2*i + 7 wrt i.\nAnswer: -12*f**2 - 231720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1873 - 1875. What is the second smallest value in k, -1, 4, -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198361?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.06 times 41?\nAnswer: 84.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*263*(-2)\/1. Suppose -6*g + t = -529. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3211020 - -1120?\nAnswer: -3205500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 9:57 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 143*w. Let d(c) = -12656*c. Determine d(v(h)).\nAnswer: -1809808*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/4)\/(-1)*-14. Let v = 11 + -8. Suppose 3*q - o = v. Solve -s + 5*y = -0*s - 13, -4*s + q = 2*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37954, 37947, 37930, 37897, 37842, 37759, 37642, 37485?\n\"Answer: -l**3 + l**2 - 3*l + 37957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + u + 2*u + (-5*u + 2*u + 2*u)*(-3 + 7 - 3))*(-1471 + 1933 + 5133) as y*u + m and give y.\nAnswer: 5595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 20. Let l be y(19). Let g be (-8 - -8)\/(l - 0). Solve c + 2*c = -n - 16, g = -4*c + 2*n - 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2002169 or 4004337\/2?\nAnswer: 4004337\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -116.49*0.2\nAnswer: -23.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 24*b**2 + 9*b - 24. Is 15 a factor of n(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6506901 + 3?\nAnswer: 6506904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 13. Let i(t) = 10*t**2 - t. Calculate the remainder when 19 is divided by i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (652 - 644) + (-5 - -1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -16. Let k(i) = i**2 - i + 1. Let w(r) = -2*r**2 - r + 1. Calculate j*k(u) - w(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/30 + 39\/10. Calculate the common denominator of o and 19\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 769966237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + 0 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**2*p**3 - 2*c**2 + 12542*c*p**3 - 391*c*p**2 + 89*c wrt p.\nAnswer: -30*c**2 + 75252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jpz when three letters picked without replacement from zzzpjzzzzzzzpz.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1456254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*g + 3*g + 32*g - 19*g + 60*g as t + f*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 2*h**2 - 2*h - 2. Let g be w(-2). Suppose z - 50 = -4*i + 130, i + 4*z - 60 = 0. Let y = i + g. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*i**2 + 2*i**4 + 41*i**2 - 5*i + 1 + 7*i - 5*i**3 to x*i**3 + b*i + m*i**2 + k + r*i**4 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1208765447.\nAnswer: 61, 19815827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-1)\/((-118)\/348). Let t = y + 323\/1770. Let k = t - -4\/15. Sort -0.5, -4, k.\nAnswer: -4, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 4. Let v(n) = -3*n + 5. Let f(r) = 5*m(r) + 4*v(r). Let u(y) = 91*y**2. Calculate u(f(i)).\nAnswer: 364*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6668 - -5584. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 24 = 24. Suppose j = 9*b - 3514 - 5108. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 v, and 2 p when four letters picked without replacement from {w: 1, v: 3, p: 2, r: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 + 5*r + 3. Let a be g(-4). Let b be 1 + 20\/6 - a\/45. What is the highest common factor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 4. Let r = i - -3. Which is smaller: -1\/7 or r?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 4*k - 21, -o - 5*k = o - 22. Let y = 4 - o. Differentiate -2 - 5*x**y - 2 - 3*x**3 wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 r, and 1 a when four letters picked without replacement from {y: 2, r: 3, f: 1, a: 1, m: 7}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 3*n**2 + 2*n + 9. Let f(i) = i**2 - 328*i + 971. Let m be f(3). Give u(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8256 and -55\/174.\nAnswer: 239424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*-30*12\/(-8). Let k = t - -50. Suppose 5*y = k*b + 317 + 103, 0 = -3*y - 5*b + 220. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 129 = 5*c, -2*l - 100 = 3*c - 126 - 69 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*x - 11, -4*x + y + 11 = x. Suppose 3*v - x*z = 125, 15 + 28 = v - z. Suppose g + 2*g - v = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 123*j.\nAnswer: j*(j + 369)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2727 - 6773?\nAnswer: -9500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-198)\/216)\/((-4)\/16))\/((-4)\/3)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 810 - -359. List the prime factors of v.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*l - 2*l + 50 = 0, 0 = -j - 5*l + 10. Let a = j + -5. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5270\/(-5))\/(-17)*(-12)\/24\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*-10*-1. Let g(r) = 3*r**3 + r**2 + 5*r - 44. Let k(q) = -q**3 - 2*q + 15. Let w(h) = 6*g(h) + 17*k(h). What is the tens digit of w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23.7, -1\/8, -1\/5 in increasing order.\nAnswer: -23.7, -1\/5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2061 + -5b6?\nAnswer: -2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, a: 4, g: 1, i: 2, t: 3, u: 2}. Give prob of sequence gta.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 159.91930469+-5\nAnswer: 154.91930469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Let x(b) = -2*b**2 + b + 2. Let q(t) = -25*t. Let c(r) = -2*r**2 + 251*r + 2. Let j(g) = c(g) + 10*q(g). Determine v*x(a) - 2*j(a).\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 5. Let a = 13 - 13. Suppose 3*f = 4*i + 13, a = f - u*f - 5*i + 69. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2784)\/145)\/(3\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1895*w + 4*i = -1896*w - 19, 2*w - 5*i - 14 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -94, 2 in ascending order.\nAnswer: -94, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4030 - 4030.0000002006. Round q to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3 - -8.7. Let r = -13.7 + a. Let k = r - -7.2999971. What is k rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 7*v - 198 + 102 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 887 = 10*n - 2593. What is the highest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34, 152, 348, 622, 974?\n\"Answer: 39*u**2 + u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*t - 2*t + 5*f, -3 = -4*t - 3*f. Suppose -o = -2*i + 15 + 9, -t*o = -2*i + 32. Suppose 4*q - 78 = i. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*g + 3. Let w be ((-2)\/10 - 1)\/(g\/20). Solve 0*j - 4*j - w = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/3 - 19590094*z\/3 + 13060060 = 0. Calculate z.\nAnswer: 2, 9795045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:45 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 0 + 5*u**2 + 0 - 5*u**3. Let r(b) = -6*b**3 + 5*b**2 + b - 1. Let o(w) = 5*m(w) - 4*r(w). What are the prime factors of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 19*f**3 + 1. Let k be y(1). Suppose j = -j + k. Is 5 a factor of (0 + 14)*j\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - n, 0 = 2*s - 2*n + 4*n. Suppose -k - 2*y = -38, 8*k - 6*k - 2*y = 58. Suppose s = -2*d + k + 10. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63522709 divided by 1351547?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - j**2. Let m(q) = -6*q**2 - 3*q**2 + 4*q + 5*q**3 + 2*q. Let p(f) = -4*k(f) + m(f). What is the units digit of p(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 1:21 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 21*o - 29. Does 23 divide k(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 86 - 12 = 0. Let p = 61 - m. Let o be 6\/p*(-4)\/(-2). Sort o, -3\/7, -1\/12 in decreasing order.\nAnswer: o, -1\/12, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37160203?\nAnswer: 23, 1615661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 1 - 6. Let t(q) = -q + 1. Let y be t(i). Solve -w = -y*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) - (sqrt(17) + sqrt(204)\/sqrt(192))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 63*v - 31*v + 63*v - 97*v. Let t(f) = -f**3 - 6*f**2 + 6. Let j be t(-6). Calculate o(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/3780 + i**6\/540 - 2*i**5\/45 - 25*i**4\/12 - 32*i**2. Let f(d) be the second derivative of l(d). Solve f(h) = 0 for h.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p - 11. Let r be u(4). Calculate the greatest common factor of r and 170.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (912\/228)\/(40\/14)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001371239439 rounded to 5 dps?\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 521\/8 + -127\/2. Let g = -1478 - -11809\/8. What is the common denominator of g and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3150135 - 11?\nAnswer: -3150150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*k = -211*k + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 349 - 397. Suppose 10*s - g*s = -2*s. Which is bigger: 2\/201 or s?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/1*9\/(-2). Suppose -6*y = -3*y - i. Suppose 0 = -y*g + g. Solve g = 4*f + 8 + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -280 or -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 46*h**2 - 6 + 50 - 47*h**2 to d*h**2 + v + q*h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 298.7?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 12, 19, 50, 117, 232?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02349582*-3.\nAnswer: -0.07048746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444 is divided by 307?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9254 - 9289. Suppose -4*h - 2*o = -718, -3 = o - 4. Let x = h + m. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -3. Suppose 3*x - 2*x + 5 = 0. Let q be x + (-6)\/(-9)*3. Is j >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21985529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.0582 and 3.\nAnswer: -6.1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(1008)*1)**2) + 1 + -1.\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2727.43 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.1, 0.5, -3\/2, -2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -7*a**2 - 25*a + 2. Let t(h) = -15*h**2 - 50*h + 3. Give 2*t(w) - 5*v(w).\nAnswer: 5*w**2 + 25*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 2732772 and 344525.\nAnswer: 3077297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 - 87*o + 43. What is the least common multiple of c(13) and 60?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/27 - 31\/54. Let p = 12 - 11.7. Let w = -0.3 + p. Sort b, 1, w in increasing order.\nAnswer: b, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2 + 3 = 0. Calculate the common denominator of (-118)\/40 - r\/(-1) and (-26)\/44 + (-2)\/(-2).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {u: 1, v: 1, d: 2, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by (-46)\/161 + 466\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 3, s: 1, v: 2}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 474, -21 in increasing order.\nAnswer: -21, 3, 4, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 5312892?\nAnswer: 531288a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 5*c - 3 - 8, -4*q = -3*c - 2. What is the closest to q in 2\/23, 0.2, 4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14 = 56. Calculate the smallest common multiple of 6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*m**4 - 4*m**3 + 22*m**2?\nAnswer: -504*m - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-2 + -10 - -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.4 + -1.4. What is the fourth smallest value in -5, 2\/5, 1.5, j?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 w when three letters picked without replacement from {n: 2, f: 5, w: 1, d: 1, q: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/57)\/(288\/2736))\/(3*2\/(-20))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2112725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i - 4 = 4*q - 14*i, -q = -3*i + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18554*o**4 + 2*o + 10330.\nAnswer: -222648*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1708)\/216 + 8)*76\/95?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, -1, -35 in descending order.\nAnswer: -1, -35, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -143 and 617.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 765997 is divided by 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/1050 - q**6\/600 - q**5\/100 + q**4\/120 + q**3\/15 + 12*q**2. Let h(v) = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -13. Suppose 2*j = -w + c, -4*j + 0 = -w - 12. Solve m + m = j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.97229 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -396 + -12?\nAnswer: -3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*g**5 + g**4 - 7279*g**2 - 2184606*g + 2?\nAnswer: 1300*g**3 + 12*g**2 - 14558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 7*c**4\/4 + c**3\/3 - c**2\/2 + 4*c. Let l be h(1). Solve l + 3 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -243242 <= -243244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, -1 in increasing order.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -88*j**2 - 709*j + 1414. Calculate m(2).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27391\/36 - -761. Let u(m) be the second derivative of -1\/15*m**5 - 1\/18*m**3 - 5*m + 0*m**2 - o*m**4 + 0. Find n, given that u(n) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 7656873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5151*w**2 + 0 + 2 - 2.\nAnswer: 5151*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232\/3 - -78. Let f = 0.27 - -16.73. Let v = -18 + f. Which is the closest to -2\/11? (a) v (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 29 = 4*a + 55, -a = -5*x + 14. Solve -3*q + 9 = -2*v, 0 = v - x*v - q - 2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z + 118*z - 13524 = -166*z for z.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1702, 6574, 14694, 26062, 40678?\n\"Answer: 1624*u**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -27*t**2 - 4*t. Suppose -2*d = 3*d + 20, -5*d - 6768 = -4*q. Let f(a) = -1687 + q - 2*a. Calculate c(f(i)).\nAnswer: -108*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/724680 and 103\/2753784?\nAnswer: 13768920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.42251.\nAnswer: -0.042251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 11) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * 68\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrruruurrrrrr. What is prob of sequence ruur?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -606 by -302594.\nAnswer: 303\/151297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*p = -28, -z = 2*p - 5*p - 8. Suppose d - z = -4. Suppose d - 17 = -5*h. Which is the second biggest value? (a) -5 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 4*x + 5. Let y(z) = z**3 + 5*z**2 - 6*z + 5. Let u be y(-6). Let k be j(u). Let r = k - -1. Solve o + 3*o = -c - 6, 0 = -3*o + c - r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:15 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47 + 1299*z + 21 + 37 - 1313*z.\nAnswer: -14*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1267.418 times 3\nAnswer: -3802.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 1, t: 2, h: 1}. Give prob of sequence hza.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -34. Let l = 14 - f. What is the smallest value in -4, l, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68, -187, -424, -839, -1492?\n\"Answer: -10*m**3 + m**2 - 52*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4*-1*48\/18. Suppose -4*b + 3*z + 29 = 0, 3*b - 10 = z + 8. Let t be 1\/(-4) + 2\/8. Sort r, b, t in decreasing order.\nAnswer: b, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 11 - (5 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 5) to base 13.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 1)*(-2 + 1). Suppose 0*t = x*z - 4*t - 35, -2*z = 5*t + 19. Let o(g) = -g + 14. Let c be o(7). Solve -z = 4*b - c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:08 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 6*o - 27. Let c be r(-9). Solve -2*z - 3*j + 23 = 0, -j - 3 + c = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91081.\nAnswer: 91081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -19, 12, -0.075, -5, -1 in descending order.\nAnswer: 12, -0.075, -1\/5, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 8*u**2 - 7*u - 10. List the prime factors of f(-4).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 242*m**3 - 3*m**2 + 2*m. Let t(i) = i - 13. Let a be t(14). What is the units digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5351400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-42)\/(-10) + (-1)\/5. Let h(s) = -5*s - 3 + 3 + v*s. Let c(a) be the second derivative of 2*a**3\/3 - 47*a. Calculate c(h(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3617 - 30a?\nAnswer: 330c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {f: 1, q: 1, c: 3, s: 3, g: 3, m: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7103, 14206, 21309?\nAnswer: 28412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-1)\/((-1)\/4). Let b(u) = 84*u**2. Does 12 divide b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/8, 0.3, 1.3, 4 in increasing order.\nAnswer: -1\/8, 0.3, 0.4, 1.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**5 - 120*t**4 - 920*t**3 - 2400*t**2 - 2000*t = 0.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 6*f - 64. Determine g(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 247 times 3\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (126\/35)\/((-6)\/(-20)). Let x be f\/((-1)\/((-3)\/6)). Calculate the greatest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15146544 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -11*y - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3618 + 3621. Put 3\/4, 12, u, 4, 0.3 in ascending order.\nAnswer: 0.3, 3\/4, u, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f = -33*f + 2*s - 40, 4*s = -f + 7*s + 9 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 43.4. Let m = -34.4 + r. Let t = m - -29.9999975. What is t rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 + 4*u + 40 - 7*u - 13*u + 33 to the form i + o*u and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -5 (c) -38 (d) 15 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184784 + 549080\/3. Let i = 17551\/10 + x. Calculate the common denominator of 149\/54 and i.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.07 at least as big as 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -65, -64, -65, -68?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.164 and 1209.\nAnswer: -1407.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-5 - -5) + -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.0901 and -106?\nAnswer: 115.5506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 1 (b) -1\/23 (c) -5\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a - 4. Let i(g) = -g + 9. Let d be i(6). Let q be v(d). Let c(m) = -2*m. What is c(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, v: 10}. What is prob of sequence nnv?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2464941 divided by 3?\nAnswer: -821647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2749, -2568, -2373, -2158, -1917, -1644?\nAnswer: -1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720)*1)**2 + -3.\nAnswer: 48*sqrt(5) + 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 93 and 1.6.\nAnswer: 148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*o = 6 + 5, -4*o - 4 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**2 + h**5 + 0*h**2 - 2 + 0 + 4. Find the second derivative of f(g) wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-44)\/(-10) + (-2)\/(-3) and 26\/33?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 10\/7 (b) 7 (c) 4 (d) -0.3 (e) 0.5 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + d**2 - 3*d**3 - 2*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 823 = -j + 5*x, 4067 = 5*j + 4*x. Suppose -l - 367 - 117 = 0. Let n = j + l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -747 by -18.\nAnswer: 83\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 54*b + 68. What is v(-5)?\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 47.45889m?\nAnswer: 47458.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -2\/43807?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/12 + f**2. Let y(q) = q. What is a(y(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 5*v**2 - 4*v + 4. Let y be p(6). Let o be (-2)\/(-3) - y\/6. Solve -2*f + 7*f - o = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 52 = -2*b, 6*a - 280 + 71 = 25*a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -14*x**3 + 7*x**2 - 38*x + 320. Calculate w(6).\nAnswer: -2680","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4074 (base 13) in base 14?\nAnswer: -3347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-8) - 26\/(-8). Let i(w) = 2*w - 2. Let f be i(6). Suppose -t + 7*a - 2*a = -30, 5*t = -m*a + f. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 114. Calculate the remainder when p is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(32\/(-8)))\/(4\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:27 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 524.4866 millilitres?\nAnswer: 0.5244866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -271.786 times 41\nAnswer: -11143.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/4 of a day?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 2*z + 2*z - z - 4*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 3:03 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/7072 and 61\/17408?\nAnswer: 226304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {j: 1, t: 6, o: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 308 = 5*j. Suppose t + 10 = -0*t. Let x = t + j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1980*c - 1 - 6 + 3 + 4 - 1 as f*c + a and give f.\nAnswer: 1980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (-36 + 60 - (3 + 4 + -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 6*i**2 - 7\/160*i**6 - 5\/32*i**4 + 0*i**3 + 0 + 11\/80*i**5 + 1\/280*i**7 + 0*i. What is x in q(x) = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60626 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2)\/4*-14. Suppose -392 = 26*d + 2*d. Let l be a\/d + (-8079998)\/4. What is l rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/4, 0.03, -3\/619?\nAnswer: -3\/619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.01, 2, -22\/61, 0.1, 3.2, -2\/17?\nAnswer: -22\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6 - g - 2*g - 5*g**2 - 5 + 6*g**2. Let j be (28\/(-18))\/7 + (-110)\/(-9). Suppose 0 = 37*m - 31*m - j. Calculate v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 575 - (-4)\/(-12)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -293 - 2.6482\nAnswer: -295.6482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/26 - 1672\/(-286) - 2. What is the greatest common divisor of t and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-48)\/27 - -2) + 8870755\/1035?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -11222, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/272 + (-443)\/3544.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -206 in descending order.\nAnswer: 5, -5, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.17 - 5.4. Let y be (-171)\/(-399) - 8\/(-14). Sort -1\/4, y, v.\nAnswer: -1\/4, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0, -48, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 427*u + 1697. Let b be o(4). Solve 0 = -b*c - 98 + 93 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 19\/4 of a gram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from jwkjycykcyjwwwykc.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 17*o**2 + 22*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**4 + s**4 + 0*s**4)*(63 + 76 + 242).\nAnswer: 381*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951702445.\nAnswer: 5, 43, 683, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1 + 5 - 13*k**2 + 5*k**2 + 3. Let m(o) = 2*o**2. Give m(p(t)).\nAnswer: 128*t**4 - 288*t**2 + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbwbwbbb. What is prob of sequence wbbw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -70239026163.12?\nAnswer: -70239026171.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 22. Calculate the remainder when j is divided by -1 - -13 - -11*4\/(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 4*g + 48, 3*g = g - 3*j - 21. Let x = 0 - g. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*5.761603\nAnswer: -0.5761603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuux when four letters picked without replacement from kkekxuxuwuukukuuk.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 101592 < -3\/188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3 + 8 + -6)) + -5 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/234 and 71\/15886.\nAnswer: 142974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 92 = 4*k. What is the units digit of (k\/(-2))\/(1*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-6) - (-8)\/(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6975920423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -5 (c) 18 (d) 125 (e) 4 (f) -2.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/21, -0.4, 34 in decreasing order.\nAnswer: 34, 2\/21, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2087*i**5 + 240*i + 4.\nAnswer: -41740*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2732736 divided by -3?\nAnswer: 910912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 14*z**2 - 73*z + 21. What is the remainder when 82 is divided by j(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a16b (base 12) in base 4?\nAnswer: -1001001203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a + 23*a - 30 = -5*l, -4*a + 3*l = 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o + 2*o - 2*o)*(0*o**3 + o**3 - 3*o**3)*(-3 + 0 + 0).\nAnswer: -12*o**5 + 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -6*j + 182. Suppose 4*m - 188 + 46 = 2*o, -3*m + 5*o = -103. Calculate the greatest common divisor of j and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -213785510 + -1?\nAnswer: -213785511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3043319 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 259841170?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-6)\/f))\/f*f*f\/f**(-25)*(f**24\/f)\/f**(-4))**(-3) assuming f is positive.\nAnswer: f**(-183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12220 (base 3) to base 6\nAnswer: -423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 327 + (-1 + 0)\/(2\/(-6)). Let g = j + -176. What are the prime factors of g?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130341234 (base 5) to base 7\nAnswer: 5262226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085508226 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) 0.09 (c) -308 (d) 5 (e) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and -1134487617.983.\nAnswer: -1134487625.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 144 = 2*g, 38 + 5 = j + 4*g. Let p = j - 24. Suppose 3*a = -p + 77. Calculate the smallest common multiple of a and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4725 and 16065.\nAnswer: 80325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 - 11 - 2*s**3 + 44*s - 5*s**2 - 45*s. Let v(f) = 2*f**3 + 3*f**2 + f + 6. What is 3*c(p) + 5*v(p)?\nAnswer: -2*p**3 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0576 + -1.1424. Is 0.7 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4 - 2 + 1. Let l(z) = -15 + 14 - z + 7. Let q(m) = -5*l(m) - 6*r(m). Let k(g) = -2*g. What is k(q(y))?\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191923, 2, -8, 0, 3, 8 in descending order.\nAnswer: 8, 3, 2, 0, -8, -191923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/354 and 1\/18.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**2 + 29*l**2 + 34693*l + 34695*l - 69388*l.\nAnswer: 53*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -95.9 - -99.9. Sort -45, 2\/13, w in ascending order.\nAnswer: -45, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 9 + 16)*(-g - 3*g + 3*g) + (4*g - 3*g + 2*g + (-2*g + 4 - 4)*(0 - 1 + 0))*(3 + 0 - 4).\nAnswer: -41*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*u - 7875, 7*k - 5*k = -u - 3945. Let y = -1395 - k. Is y a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3 = 3*u, u - 4*s + 5 = -5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/80 and 73\/84991310.\nAnswer: 679930480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 2*l - l)*((0*l**3 + 0*l**3 - 2*l**3)*(-2 - 3 + 4) + 0*l - l**3 + 0*l - l**3 + 5*l**3 - l**3).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5506550*0.07.\nAnswer: -385458.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 117*n**6\/20 - 169*n**5\/12 + 242*n**2. What is the third derivative of h(p) wrt p?\nAnswer: 4212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -20\/2137?\nAnswer: -20\/2137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.4550607 + 0.4549455. Let s = 43 + o. Round s to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1752\/(-2920)*((-350)\/(-1215))\/7?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1667.8 - -69. What is o rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11.844 and -0.68248.\nAnswer: 11.16152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 41, -4\/3, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58837727.\nAnswer: 13, 139, 32561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70894\/35 or 2027?\nAnswer: 2027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2810, -5630, -8428, -11210, -13982, -16750?\nAnswer: -19520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from pgdpbdp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 700506 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 13) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3477 + 549 = -4*n. Let c = -517 + n. Suppose 2*a - 207 = c. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03156? (a) 45\/7 (b) 1\/8 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 8. Let o = q + 0.999993. Round o to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -3045021454?\nAnswer: -3045021504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2087*d + 2074*d - 195 = 0 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2 + 2)*(-110 + 22 - 52)*(0*y - 3*y + y).\nAnswer: -560*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333331958 a multiple of 4399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) + (-624)\/(-20). Let o = f + -17. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 29 (c) -4 (d) 2\/7 (e) 1.123 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/13 (b) -6\/5 (c) -0.1 (d) 16\/5 (e) -1 (f) -19 (g) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 138.595073 to 0 decimal places.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 780705 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71\/39 + -5\/3. Sort 0.04, c, -0.08 in increasing order.\nAnswer: -0.08, 0.04, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2016)\/(-528) - (-4)\/22. Let b be 0 + 6 + -3 + 2. Solve -f - 3*c + u = -1, -b*c = 4*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -64\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 457.23?\nAnswer: 45.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19)*-2)**2 + sqrt(209)\/(sqrt(33)\/sqrt(3)).\nAnswer: 9*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 = -5*g + 10*m - 15*m, 5*g - 811 = 2*m. List the prime factors of g.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.64 times 0.056?\nAnswer: 0.09184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 1, v: 5, j: 2, m: 4}. What is prob of sequence vjm?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 14*h - 48. Let a be r(4). Solve 13 = -3*z - 5*g, 3*g = -2*z - 0*g - a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(2\/3*-2)*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*z = 8, 4*v + 0*z + 4*z - 36 = 0. Find the first derivative of 3*h**2 + v*h**4 - 3*h**2 - 6 wrt h.\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -13*l**2\/2 - 2*l + 8. What are the prime factors of h(-3)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a factor of 54372380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + 41 - 58\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -3 - 4\/27*a**3 + 0*a + 0*a**2 - 7\/18*a**4 - 16\/45*a**5 - 1\/9*a**6. Let x(g) = 0. Calculate g.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 46*i + 2. Let n be v(3). What is the highest common factor of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4602429?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 != 42479\/185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16 - -4a?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-12 + -6 + 13) - -1) + -26?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 + 3 = -21*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 2*d + 3. What is t(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 868, 854, 830, 790, 728, 638, 514, 350?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -13. Find the first derivative of 2 - 4*g**4 - g**f + 0 + 4*g**4 wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 1:53 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 + 0.5. Let t = -3.9 + v. Is -1\/3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 17*i**2 - 2*i - 29. Let y be w(-17). Let z be (-2)\/3 + 50\/(-15). Put -5, z, y in decreasing order.\nAnswer: y, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 283 - 184. Calculate the greatest common factor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 322 and 2024?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esdf when four letters picked without replacement from {s: 1, n: 2, k: 2, d: 1, e: 1, f: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6897053 and 0.05.\nAnswer: 6897053.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 37*i**2 + 13*i + 42. Give m(-3).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-64)\/3)\/((-8)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.445821 rounded to two dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*x + 10. Let a(i) = i - i - 3*i**x. Let q(b) = b**2 + 3*b - 3. Let s(p) = p**2 + 2*p - 2. Let l(u) = -2*q(u) + 3*s(u). Give a(l(f)).\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - c - 1, -4*r - 2*c = -6*c + 44. Let i = r + 35. Let h = i + -11. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmhmfhmmmfc. What is prob of picking 2 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 559 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -4 (b) 5 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 28. What is the biggest value in -2\/5, n, -2.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*s**6 - 1107*s**3 + 801*s**2 - 7*s + 6 wrt s.\nAnswer: -9840*s**3 - 6642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 1\/3, 34, -1.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12038b (base 12) to base 7.\nAnswer: -2320640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 + 11 = 0. Suppose 2*g - 7*g = -15. Let w - 4 + 2*p**2 + g - 4*p = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 68. Let a(c) = c + 67. Calculate 5*a(r) - 4*g(r).\nAnswer: r + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29136*b + 13047*b + 21253*b - 11116*b + 5704*b + 2 + (-3*b + b + 4*b)*(2 - 2 + 2).\nAnswer: 58028*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -3.7. Let y = 0.37 + -4.77. Let r = y - 0.6. Put 0.1, r, h in decreasing order.\nAnswer: h, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14033631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 124859418 and 0.447.\nAnswer: 124859418.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2380, -3270, -4160, -5050, -5940, -6830?\nAnswer: -7720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -685*r**2. Let m(y) = -55131*y**2. Determine f(m(j)).\nAnswer: -2082007605285*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2051, 0, -60 in descending order.\nAnswer: 2051, 0, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 15159 - 15159.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*b**2 + 2*b**2 + 2*b**2)*(-b + 2 + b + 4*b) in the form w*b**3 + d + m*b + z*b**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2956570 = 46*g - 51410830. What is g rounded to the nearest ten thousand?\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 - -0.01. Let g = 0.1 - h. What is the biggest value in g, 2\/13, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 20 = 4*h. Let v = h - 0. Calculate the remainder when 78 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 1:53 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. What is the remainder when 32 is divided by o(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001 (base 2) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 11:54 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 3*b**4 - 2*b**4)*(-62 - 6*b + 62) + (-6 + 6 + 7*b)*(0*b**4 - 3*b**4 + 2*b**4).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -74898, -70244, -65588, -60930, -56270, -51608, -46944?\n\"Answer: k**2 + 4651*k - 79550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 141 + 345. List 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 21842 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: Factor 2*a**3\/11 - 80*a**2\/11 + 874*a\/11 - 1444\/11.\nAnswer: 2*(a - 19)**2*(a - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2*w**3\/21 + 10*w**2\/7 - 50*w\/7 - 40. Determine n so that y(n) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 - 2*h - 5. Suppose 0 = -f + 5 - 1. Let i(w) be the second derivative of 0 - w - 4*w**2 - 1\/2*w**3 - 5\/12*w**f. Give 5*i(b) - 8*u(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7620 + 16813. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1020*j - 5335. What is the ten thousands digit of w(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.394 times 13.9\nAnswer: -33.2766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5006*g + 550670. Determine u(-110).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2319*v**3 + 562374*v - 562374*v.\nAnswer: 2319*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -0.1069?\nAnswer: -2.1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11132 rounded to the nearest one hundred?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/6)\/((-2)\/6). Let y(s) = -s**2 - s + 13. Calculate the remainder when y(0) is divided by (1 + h)\/((-1)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -31*v + 33. Let y be i(1). Find the third derivative of -27*a**2 + 138*a**y - 34*a + a**5 + 34*a - 165*a**4 wrt a.\nAnswer: 60*a**2 - 3960*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 2\/3 (c) 8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 16) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f**2 + 1 + 7 - 3 - 4 as r*f**2 + b + m*f and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3811 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d + 71. Let p(r) = -10*r + 213. Determine -7*h(f) + 2*p(f).\nAnswer: f - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*n**3 + 96*n**3 + 107*n**3 + 100*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 262.651 weeks to milliseconds.\nAnswer: 158851324800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 3\/((-30)\/35)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*d - 1158008, 3*j = 4*d + 113968 - 808760. Round j to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/325964 and 69\/190.\nAnswer: 1629820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4290 = -5*t - 5*o, t + 400 = 3*o + 1234. Calculate the lowest common multiple of 32 and t.\nAnswer: 6816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -211781*o**2 + 28*o**4 - 23*o**4 + 2 + 2*o + 211794*o**2 to the form q*o + d*o**2 + l + i*o**3 + u*o**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 12) to base 2.\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (525\/350)\/(2 + (-25)\/14). Let m(c) = -c**2 - 10*c - 8. Let w be m(-6). Solve 3*r + w = d*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07837 + 0.37837. Let i = 2 + 0. What is the nearest to i in a, 0, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.325 - 0.025. Let r = -0.035 + -0.065. What is the closest to -1\/2 in t, r, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v**5 - 258*v + 258*v + (2*v**3 - 2*v**2 + 2*v**2)*(-5*v**2 + 3*v**2 + v**2) + 18*v**5 - 78*v**5 - 31*v**5.\nAnswer: -102*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 b when two letters picked without replacement from ugbhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(0 - 2*u + 0) - 2*u**2 + 5*u**2 - 8*u**2 - u**2 + 0*u**2 + 3*u**2 - 2*u**2 + 0*u**2 - u**2 - 2*u + u**2 + 2*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3806*v + 2. Let m be h(-1). Does 26 divide m\/49 - 4\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -1. Let f = 63 + -60. Let z(i) = 8*i**2 + 2*i + 3. Let j be z(f). What is the highest common factor of w and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 121*j**2 + 737*j + 3170. Calculate g(127).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 38810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13627 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 - 439*l**2 + 440*l.\nAnswer: -l*(l - 1)*(l + 440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 divided by 11.\nAnswer: 159\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*m - 4708 - 1997 - 18138 = 0 for m.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 + 42*y + 1404\/11.\nAnswer: -2*(y - 234)*(y + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -191 + 282. What are the prime factors of l?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -5) + -4 + -45 + 11\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t - 90*t = -4*s + 110, 26 = 4*s - 2*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 13 - 5*p + 4*p.\nAnswer: -p - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Suppose 2*p - 34 - 18 = o. What is the remainder when 49 is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by -31?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3332*h + 67. Is t(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 24*s**2\/5 + 3*s + 4\/5.\nAnswer: (s - 4)*(s - 1)*(5*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(350)*2)\/(sqrt(288)\/sqrt(9) - sqrt(162)*2).\nAnswer: -40*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1779, -3556, -5333, -7110, -8887, -10664?\n\"Answer: -1777*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -17*m - 13. Solve -m*b - 5 = -5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 586 - 104 = 0. Does 33 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2274*i**3 + 528*i**2 wrt i?\nAnswer: 13644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 4*j**2 - 19 - j**2 - 11 - 2*j**2 - 2*j**3 to z*j**2 + t*j + m*j**3 + b and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 11220?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*t = 53*t + 30. Find the common denominator of -143\/18 and t\/225*261\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 0*s - 11\/32*s**4 + 11\/160*s**6 + 0 + 3\/80*s**5 - 5\/8*s**3 + 97*s**2 + 1\/140*s**7. Solve f(n) = 0.\nAnswer: -5, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49d87 (base 14) in base 8?\nAnswer: 541443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101 less than -73?\nAnswer: -72.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6 (b) 0.4 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 - 110. Let w = g - 193. Which is the fourth smallest value? (a) 2\/9 (b) -4 (c) 0.1 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.11 (b) 0 (c) -2 (d) 4\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*((-2*c - c + 2*c)*(0 - 1 + 3) - 3*c - 3*c + 7*c) - 14241 + 14241 + 1175*c.\nAnswer: 1177*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.063985895 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 39145 smaller than 39145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + x - 4. Let l = -1 + 10. Suppose -3*u = 5*k - 11 - 6, -3*u = -3*k - l. Let f(t) = 1. Give k*h(o) + 5*f(o).\nAnswer: 2*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -541560, -1083122, -1624684, -2166246, -2707808?\n\"Answer: -541562*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 109?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17477450773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13595767?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39873991 is divided by 3281?\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8768.693l in millilitres?\nAnswer: 8768693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52221*r**2 + 504*r - 52223*r**2 - 504*r**3 + 104440*r**2 + 4*r**4.\nAnswer: 4*r*(r - 126)*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 241*2 - (-101 - -107)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(686)\/sqrt(7) + sqrt(14)\/(sqrt(7)*-1) - ((sqrt(144) + sqrt(16))*2)\/((sqrt(16)\/sqrt(2) + sqrt(8))*2).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/12 + (-75)\/18. What is the tens digit of v\/6*(4 + -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, -15, -38, -61, -78, -83, -70?\n\"Answer: o**3 - 9*o**2 + 3*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 6*(sqrt(133) + sqrt(133)*1))\/(sqrt(126)\/sqrt(2)).\nAnswer: 13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -621 + 116 + 126 + 125 + 122 + 128. Let n(a) = 4*a**2 - 5*a - 7. Let p(o) = o**2 - o. Let f(t) = -n(t) + 5*p(t). Give 4*f(l) + 7*k(l).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/1910334 and 17\/16256?\nAnswer: 122261376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 269098 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -33*i**2 - 303*i - 33. Let v be w(-9). Solve -v*l - 20 = -16*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4950*-99)\/(-2*1\/(-20))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1\/5, 3.96, 2\/3, 18.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462484872?\nAnswer: 2, 3, 6423401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(65) + sqrt(65)*2 + sqrt(65)))\/sqrt(5).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 947474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t + 110 = 17*t + 17*q, 5*t = 2*q + 3*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57 - -104) + 153 + -278.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3072)\/(-140) - (17 + 2388\/(-140)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 + 2*l - 2. Let z(j) = -251 - 5*j**2 + 254 - 4*j + j. Let n be 3 + -23 + ((-3)\/3 - -2). Let f = -11 - n. Give f*p(k) + 5*z(k).\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = -h, -5*h + 0*o = -3*o - 26. Suppose -h*z + 4*s = 8, 6*s - 2*s = 20. Let g be -50*3*(-2)\/z. Round g to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1351422 to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t = 25, 4*p - t = 37. Let r = -3 + p. Solve 4*f + 18 = k, k - r*k + 4*f = -12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 7*u**2 + 7*u - 2. What is h(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34*7*((-8)\/(-16))\/1. Let l = y + -114. Let 10*k - 2*k**l + 0*k - 3*k**5 + k**4 + 4*k**4 + 15*k**3 - 25*k**2 = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*n + 716, 0 = -4*c - 0*n - 3*n - 562. Let q = 27 + c. Let u = q - -180. Round u to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, c: 2}. Give prob of sequence cfcf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 (base 5) in base 10?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163 + 372 - 14164*m - 209.\nAnswer: -14164*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/6)\/4*12\/(-224))\/1.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -427 and -2?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -88374, -176741, -265104, -353463, -441818, -530169?\n\"Answer: 2*g**2 - 88373*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69124, 276276, 621472, 1104712, 1725996, 2485324?\nAnswer: 3382696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528577902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2662*n - 2662*n + 2*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -272*c. Let k(h) = 62*h. Let x(y) = -48*k(y) - 11*n(y). Let u(d) = d**2 + 24. Calculate u(x(o)).\nAnswer: 256*o**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j + 368 + 899 = -1469 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -52.60776.\nAnswer: 631.29312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + 1)*-6)**2 + 2.\nAnswer: 2592*sqrt(13) + 18146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 96*o**2 - 32*o + 10. Let h be m(7). Suppose c + 3*c - h = -3*z, 2*z - 4488 = -4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362077, -362063, -362045, -362023, -361997?\nAnswer: -361967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {g: 2, t: 2, n: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 4065580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 9*u**3 - u**2 - 13*u - 7. Suppose 16 - 4 = 4*o. Let a(h) = -2*h - h**2 - 2*h**3 - 3 - 4*h + 6*h**3. Let v(b) = o*m(b) - 7*a(b). Determine v(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7910 divided by 6\nAnswer: 3955\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -38610.\nAnswer: -15444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-125))\/(2\/25).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from juerrjrr. What is prob of picking 1 r and 1 j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 222.9127 to the nearest 10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25507911 to the nearest integer?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831962767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 288*b - 843. Let l be j(3). What is the highest common divisor of l and 25473?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 100 (b) 1 (c) 6.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7 + 1.2. Let q = 4 - 3.9. Which is the nearest to q? (a) r (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/2, -0.3, -53?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33895663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4686100+3116\nAnswer: -4682984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -7. Let c(d) = -d + 12. Let u be c(10). What is the third derivative of 2*w**u + k*w**5 + w**2 + 0*w**5 - 4*w**2 wrt w?\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 725*t**2 - 362*t**2 - 3*t - 360*t**2 as a*t**2 + m + o*t and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-18) - 1\/6. Let w be 2\/(-2 + 5\/2). Put 6, n, w in decreasing order.\nAnswer: 6, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -58 (c) 55 (d) -0.2 (e) 8\/15 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43827, 175050, 393743, 699888, 1093467?\nAnswer: 1574462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059287 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115136312 divided by 32152.\nAnswer: 3581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*s**4*w - 2*s**3*w**3 + 27*s**2*w + 3*s**2 - w**3 wrt s.\nAnswer: -792*s*w - 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33196 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: Let d be 10 - 1*(-2 - 1)\/(-3). Suppose -d + 11 = n. What is the second derivative of -13*l**4 - 13*l - 104*l**n + 104*l**2 wrt l?\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 39931171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 10:58 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048182509 a multiple of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2711 or -2709?\nAnswer: -2709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -5*o**2 + 21*o - 16. Let r be c(3). Solve r*z + 9 = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27956?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + g + 0*g)*(g**3 + g**3 + 0*g**3) + 6*g**4 + 21*g - 21*g)*(13 + 5 - 9).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 6. Suppose -l = k - 12. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 507864.7952 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 13*v**2 + 8*v + 7. Is y(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*p - 36*p + 8. Suppose -p = 3*c - 4, 1752995 = v - 5*c. Round v to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 65 = 145. Suppose n - 5*s - 33 - t = 0, 2*s = -n + 68. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*a**2 - 104 - 2*a**4 + 242 - a**3 - 140 - 14*a as b*a**3 + j*a**2 + f + h*a + o*a**4 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -172, -736, -1688, -3028?\n\"Answer: -194*y**2 + 18*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 804, 997, 1194, 1395, 1600?\n\"Answer: 2*v**2 + 187*v + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(1350\/(-25))*(-1)\/((-3)\/48)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 12*z**2 - 10*z - 3. Let p be w(11). Solve -p = u + 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z = -2*z - 34. Let m be -1 + -4*(-4 + 3). What is the third derivative of 4543*r**3 - 4543*r**m + 14*r**z - 9*r**6 + 2*r**6 wrt r?\nAnswer: -840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, w: 3}. What is prob of sequence qww?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7202 + 28987. Let v(o) = -7244*o - 5. Let y be v(-5). Let b = u + y. What is b rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c + 267 = 4*c, 466 = 5*r - 2*c. Suppose 6 = 5*b - 2*j - r, -j - 19 = -b. Calculate the smallest common multiple of 196 and b.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78 + 77.5. Which is the nearest to -2? (a) -2\/3 (b) x (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -423 + 604. Let x = -103 + c. Let g = 78.00124 - x. Round g to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -21.06. Which is the second biggest value? (a) r (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5133333 (base 6) in base 5?\nAnswer: -30330341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8730129 divided by -8\nAnswer: -8730129\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -836, -3, -11, -5, -2 in decreasing order.\nAnswer: -2, -3, -5, -11, -836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4137, -4133, -4129, -4125?\nAnswer: -4121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:33 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 10441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5625885 (base 9) to base 11.\nAnswer: 17897a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 148. Let x(g) = -15*g + 18. Let v be x(2). Let f be m(v). Calculate the greatest common factor of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 250 = -3*j. Suppose 0 = 3*b + 2*f - 4*f + 25, 5*b - 5*f + j = 0. Let r = b - -10. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, h: 3}. Give prob of picking 2 q and 2 h.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 41*m**3 + 3*m**2 + 2*m - 2. Give w(-2).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1176 and 75\/16.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/1*(810\/(-36))\/45?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 5:34 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82891 to three dps.\nAnswer: 0.829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:39 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -565817 - 1056.\nAnswer: -566873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 0*d**3 + 1\/20*d**5 - 1\/8*d**4 - 5*d + 0 + 2*d**2. Let v(g) be the first derivative of c(g). Solve v(a) = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -3*p - 350 - 295, 637 = -3*p + u. Sort 2, p, 4 in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172790 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 1:41 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8991 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**2. Let j(s) = -2*s**2 - 6861*s. Give j(u(k)).\nAnswer: -32*k**4 + 27444*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 863230085\/690492 - 1\/230164. Let z = -1242 + n. Find the common denominator of z and -32\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**3 - 58*k**2 - 80*k + 815. Calculate b(20).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(135\/330*33))\/((-2)\/306)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 6*f**2 - f. Let p be s(1). Suppose p = 2*x - 3. Let u = -5 + x. Is u at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37462?\nAnswer: 2, 18731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)*v)**12\/((v*((v\/v**(1\/34))\/v)\/v)\/v*v*v\/(v*v*v*v**(10\/3)*v)) assuming v is positive.\nAnswer: v**(1567\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2696 and 1321766572.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(117) + -4.\nAnswer: -8 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -186 + 201. Suppose 3*j = c - 18. Let x(n) = 551*n + 114. Let z(m) = 24*m + 5. Let f(d) = 5*x(d) - 114*z(d). Determine f(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.01, 5\/7, -3?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2808 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 66 = -20*i + 20*i. Factor 24\/11*d - 54\/11*d**2 - 108\/11*d**i + 162\/11*d**4 + 8\/11.\nAnswer: 2*(3*d - 2)**2*(3*d + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/2*(-2475)\/(-6930)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -479.9 + 480. What is the fourth smallest value in f, -0.1, 2\/33, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4069 + 4070. What is the closest to 1 in 0, 0.01, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/160 and 29\/48?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.1. Let x be ((-140)\/(-9))\/4 + (-4 - 0). Which is the closest to -1\/4? (a) z (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - s**5 - 4 + (0*s**3 - s**3 - s**3)*(4*s**2 + 2*s - 2*s).\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 3)*(5 + -8). Suppose -3*o - 5*r + 59 = 0, 1 = -o + 2*o - m*r. What is the remainder when o is divided by 16\/16*4*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 25 + 7*x**3 + 4*x**4 + 21 - 17*x**3 = 0. Calculate x.\nAnswer: -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3586158?\nAnswer: 2, 3, 167, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/3 - 6902*f\/3 - 259388\/3.\nAnswer: -2*(f + 38)*(f + 3413)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 p, and 2 e when four letters picked without replacement from eeeeeeeeeeeevp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5768 + -34891\/6. Which is smaller: d or -47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 1 - (444\/(-24) - -18)) + -6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r + 38*r + 3*r**3 + 59*r**3 + 14*r**3.\nAnswer: 76*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24016)\/(-4808) + -5)\/(459\/(-306))?\nAnswer: 2\/601","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16514\/203 - -568\/7. Let b = c + 157\/58. What is the third biggest value in b, 0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h - 2 = 57*h + 2*t, 0 = 5*h + 3*t - 29. Let n(y) = y**2 - 4*y + 12. Give n(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41420627 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 4) + 4\/1. Let w(i) = -i. Let k be w(c). Let s be k\/10 + 2\/2. What is the closest to s in 2, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -185 - -781. Suppose 0*w - u = -4*w. List the prime factors of w.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-380)\/(-330) - ((-32)\/(-12))\/2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 14*g**3 + 12*g**2 + 12*g + 14. Let q(v) = -v**3 - v**2 - v - 1. Let b(i) = -i**3 + 13*i**2 + 15*i - 2. Let j be b(14). What is j*q(n) + y(n)?\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 8:57 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -340*n**2 - 25*n.\nAnswer: -680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = 64*x - 22. Solve -5*s + 30 = -5*v, 0*v - 8 = 2*s + x*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2 - 20*n.\nAnswer: -2*n*(n + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(-2*s + 0*s + 0*s) + 2*s - 4*s + 3*s - 4*s + 2*s + 0*s + 221 - 442 - 72*s + 219 to the form p + b*s and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (160\/(-25) - -4)*(-5245)\/2.\nAnswer: 2, 3, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89767 times 5?\nAnswer: -448835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28859.46 times 2\nAnswer: 57718.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - f**3 - 23 + 2*f**3 + 8.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49728 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 15\/13 + (-14)\/91\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 4 (c) -0.03 (d) 127 (e) 0 (f) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9375 divided by 6014\nAnswer: -9375\/6014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3488803 rounded to three decimal places?\nAnswer: 0.349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 157858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 13. Let y(g) = 14. Let z(l) = -2*v(l) + y(l). Determine z(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014768 to the power of 1\/2, to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50176 divided by -50176?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p. What is the third derivative of 3*m**3 + 0*m + 2*m**3 - m**2 + p*m wrt m?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8831803673.0000271 - -8831803112. Let v = x - -561. What is v rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*w**4 - 5*w**2 + 972?\nAnswer: 16*w**3 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110 + -3?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - (-12580)\/2968) + 1\/(14\/(-4)). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*y - 394307 = -116*y - 42445. What is the least common multiple of y and 7?\nAnswer: 4291","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5493669*k**2 - 19626303 wrt k.\nAnswer: -10987338*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 275*t**3*v**6 + 37*t**3*v**3 + 2*t**3*v**2 - 11*t**3 - 8*t**2*v**2 - 6*t*v**2 wrt v.\nAnswer: 33000*t**3*v**3 + 222*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 15) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 7 + 1)*(-2 - 2*v**2 + 2)*(1 + 4 - 1) in the form x*v**2 + h + q*v and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6613652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*o + 2193 - 3701 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let l = 1.4 - -3.8. Let v = l + -5.5. Which is the second biggest value? (a) o (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + (-4 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m**2. Let b(z) = z**2 - 5*z + 5. Let v(n) = 2*n**2 - 8*n + 8. Let s(j) = -8*b(j) + 5*v(j). Determine s(l(r)).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, -0.3, 2\/9, 467, 0.5 in descending order.\nAnswer: 467, 154, 0.5, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3\/7)*z*z**(1\/2)*(z\/z**(-1))**(-8\/19) assuming z is positive.\nAnswer: z**(61\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 6 + 9. Let q(k) = -k + 3. Let j(v) = v**2 - 7*v - 1. Let h be j(6). Let f(r) = -3*r + 9. Let n(a) = h*q(a) + 2*f(a). Give n(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2404 * 0.04\nAnswer: -96.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7509.\nAnswer: 3, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 2*i**2 - 4. Let o be s(4). Suppose 4*p + 4*d - o = 0, 4*d = 5*d - 2. Solve -4*f - 16 = -5*b, -5*f + 9 = p*b - 4*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n**4 - 30*n**2 + 30*n**2)*(1 - 6 + 6 - 4*n).\nAnswer: 36*n**5 - 9*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8651666 is divided by 79.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3142\/2981 or 2?\nAnswer: 3142\/2981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/203 in 1, 13, -0.053, -6\/5?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1712164 and 1712191 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1378 - 1368) + 1 + -3 + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106407179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4 - 12. Let y(g) = 5*g**3 + 4*g**2 + g - 5. Let s(a) = -14*a**3 - 12*a**2 - 2*a + 15. Let m(u) = -4*s(u) - 11*y(u). What is m(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -25*c**3 + 2*c**2 - 2*c + 1. Let y(w) = 7*w**2 - 20*w - 74. Let o be y(5). Determine t(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*l**5\/4 + 263*l**4\/2 + 479*l**3\/2 - 939*l**2 + 2369*l\/4 - 65\/2 = 0. What is l?\nAnswer: -13, -5, 2\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9028321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21354 is divided by 188?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 5*b**2 - 7*b - 4. Let n be m(-6). Suppose -3*w + 29 = 5*o - 0*o, -n*o + 18 = -2*w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.2. Let o = 0.06 - -25.94. Let v = o - 26.1. What is the nearest to v in k, 0.2, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.3 (b) 1\/3 (c) -1.56 (d) 5 (e) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**2. Let q(d) = 7 - 13*d**2 - 4 - 3. Calculate l(q(f)).\nAnswer: -507*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76189, -94363, -112535, -130705, -148873, -167039?\nAnswer: -185203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 9*n**2 + 29*n. Let i be h(-12). Let u = i - 69. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*g - 18, -4*i = -0*i. Let f be 1 + 3 - (-1 + 3). Solve -8*d = -g*d - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9976\/(-258) + (-3 - -42). Factor i*v**3 + 0*v + 0 - 1\/3*v**2 + 1\/3*v**4 - 1\/3*v**5.\nAnswer: -v**2*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1297.666 millilitres?\nAnswer: 1.297666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, x: 2, q: 1, c: 1}. Give prob of picking 1 q, 1 c, and 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12*-0.4553978\nAnswer: -5.4647736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 6:44 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*((-63200)\/75)\/79.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*j + 5*w - 23, -4*w + 47 = 3*j. Suppose -4*h + j*h = 0. Suppose -14 - 11 = -2*f + 3*m, h = -4*f + m + 25. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**4\/4 - 2*i**3\/3 - i**2 + 5905*i + 209. Is j(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 13 = 15. Round r to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 0 + (18 - 33 + 53)*(3 - 3 + 1))*(j - 4*j + 2*j) - 2*j - 4*j - 2*j.\nAnswer: -51*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -227.453355 and 4.071?\nAnswer: 231.524355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2855460, 2855278, 2855096, 2854914, 2854732?\n\"Answer: -182*g + 2855642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*h + 134, -2*w - 3*h + 125 = 2*h. Suppose 0*y - w = -5*y. 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: Let j = -128.9 - -123. Let h = 6.34 + j. Let i = h - 0.4400032. Round i to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2\/(2\/1). Solve d*w + 3*w = -15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -767535\nAnswer: 3070140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6544 + 6544.84. What is the biggest value in -5, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) + 2 + sqrt(5) + 3 - sqrt(25)\/(sqrt(15)\/sqrt(3)))**2 + -2.\nAnswer: 10*sqrt(5) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 10721592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -1. Suppose -31 = 9*v + 14. Sort 3, v, q in increasing order.\nAnswer: v, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5528 (base 14) in base 9?\nAnswer: 22183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -16. What is the common denominator of ((-632)\/(-40))\/(a\/5) and -71\/14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/3, 2\/7, 1, 2 in ascending order.\nAnswer: 2\/7, 1\/3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*t = -3629462 + 3630821 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 y when three letters picked without replacement from tetteeyttttyetyy.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*h**3 + 568*a*h**2*t - 124*a*h**2 - 2*a*h*t - 24*a*h - 4*a + 13*h**3*t wrt t?\nAnswer: 568*a*h**2 - 2*a*h + 13*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 6 = 3*m, 8*x - 11*x + 2 = -m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 7*m**2 + 5*m. Let d be o(-6). Let k(x) = 2*x**2 - 8*x + 5. Let l = -5260 - -5266. What is the remainder when k(d) is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 441 = -w. Let g = w + 148. What are the prime factors of g?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*t + 104, -5*j - 3*t + 241 + 245 = 0. Calculate the remainder when j is divided by 51.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55 - -33. Let h = 89\/4 + k. Which is the nearest to 0? (a) 0 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 20*m**3 + 5*m**2 - 7. Let l(o) = 11 - 7 + 3*o**2 + 6*o**2 - 19*o**2 + 7*o**2 - 10*o**3. Calculate -3*d(v) - 5*l(v).\nAnswer: -10*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5\/7 + 6*a**4\/7 - 2*a**3\/7 - 6*a**2\/7 + 4*a\/7 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 21*a + 1873. What is the remainder when 37 is divided by m(-88)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 74) + (10 - 47) - -38.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuoudu. Give prob of sequence uu.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/2201 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4239)\/(-4)*(280\/24 + -9). Let x = z + 979. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 2)*(53*c**2 + 2 + 0 - 51*c**2) to the form o + a*c + g*c**2 and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*f = 60*f - 4*j + 4, -4*f + 2*j = -16. Let b(c) = -c**3 + c**2 + c + 2. Give b(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 46367086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -90*b - 17. Let h be g(-2). Let m = h - 57. Calculate the remainder when m is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.8 + -19. Suppose -113 = -4*s + 23. Let r = s - 32. Which is the biggest value? (a) -3 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (11 - (-18 - -37) - (1 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 156, 169, 182, 195?\n\"Answer: 13*d + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 7*i + 5*i**3 + 17*i.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + -0.4. Let t = 0.6 - 0.9. Let f = o - t. What is the biggest value in -0.2, f, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3926*r**3*w**4 - 34*r**3*w + 4*r**2*w**2 - 2*r*w wrt w?\nAnswer: 94224*r**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 v when four letters picked without replacement from {u: 9, v: 10, x: 1}?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 18312*j + 237845. Calculate m(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -477 and 1.184?\nAnswer: 478.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3202 - -223?\nAnswer: 10031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -103*n**3\/3 - 34*n**2 + 2*n + 270. Find the second derivative of y(m) wrt m.\nAnswer: -206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 881*f**4 + 2968*f + 19311784?\nAnswer: 3524*f**3 + 2968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, -607, -797, -1163, -1765, -2663?\nAnswer: -3917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.6 - -1.3. Let i = y - 0.7. Which is the second smallest value? (a) 3 (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -35f + 301d?\nAnswer: 2cbe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-6)\/(-136))\/(12\/16)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3297 - 2033. Suppose 6831 = -o - 10*o. Let b = o + x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**6\/72 + j**5\/60 + j**3 - 4*j**2. Let s(u) be the first derivative of d(u). What is the second derivative of s(r) wrt r?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*t = -97*t - 702. Suppose 11*z - 10*z - 36 = 0. Calculate the greatest common factor of t and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -x + 7 - 35, -2*x = -2*g + 28. Suppose n - 3*i = g, -5*n + 22 + 48 = 5*i. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2384712, -2384705, -2384698, -2384691, -2384684, -2384677?\n\"Answer: 7*a - 2384719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00538105 and -0.2?\nAnswer: -0.00107621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 3. Let y be m(-2). Let g = y + 4. Suppose -2*s - g*s = -15. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/2004 and 95\/99532.\nAnswer: 298596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3899*a**2 + 5541*a + 16. Let f(y) = -y**2 - 2*y - 8. Let p(b) = 2*f(b) + u(b). Find the second derivative of p(c) wrt c.\nAnswer: 7794","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -84, -147, -220, -297?\n\"Answer: b**3 - 14*b**2 - 12*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 182719485 and 66.1?\nAnswer: 182719418.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 426*u**2 - 11*u + 21. Let b(t) = -85*t**2 + 2*t - 4. Give -11*b(p) - 2*y(p).\nAnswer: 83*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*q - 5*y, -4*q = 3*y - 10 - 10. Let k = q - 47\/9. Find the common denominator of 35\/39 and k.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 52 = 130. Put 18, n, -5 in descending order.\nAnswer: 18, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - -45) + (56 - 57)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*p**2 - 51*p**2 - 3*p**4 - 10*p**4 wrt p.\nAnswer: -312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3634 = h, -2*y = -52*h + 57*h - 2414. Calculate the remainder when y is divided by 54.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 73521a + -8a?\nAnswer: 735150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3 + 807*s**2 - 47868*s + 818292 = 0. What is s?\nAnswer: 37, 38, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(612) + 2)*-2 + (sqrt(612) - (sqrt(612) + 1 + 4)))**2.\nAnswer: 216*sqrt(17) + 2531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d9d - 2b?\nAnswer: 3d72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1, -0.1, 0.7, -0.2, 0.22?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p - 8. Let v be k(7). Let u = 3 - v. Let t = 2 + u. Is t at most as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -355 + -5?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 34*c**2. Let i(j) = 9*j**2 + 8. Let y = -189 + 196. Let w(k) = -16*k**2 - 14. Let l(z) = y*i(z) + 4*w(z). Calculate h(l(d)).\nAnswer: 34*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 206 divide 3090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 9 = -5*a + 59, -5*w = -a - 4*a + 7*a - 37 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*p - 119, 1 = 2*v + 3. Let j = p + -55. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.39 and -238746.03002.\nAnswer: -238744.64002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2370\/1043 - -2\/149. Find the common denominator of ((-4)\/(-2))\/(32\/(-20)) and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-13) + (-408)\/(-221). Suppose 2*b = -3*b + 10. Solve -b = t*s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109445 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11*k**2 - 1. Let q be 10\/15 - 2\/(-6). Suppose -2*r + r + q = 0. What is m(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence try when three letters picked without replacement from rkikktkikykt.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from uununuunnununnuuuuu?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1088820512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7695 and 668325?\nAnswer: 18044775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7595 and 78085?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207612523 - 207612509.0000021. Let v = -14 + o. What is v rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + sqrt(304))*3)**2*2*-3.\nAnswer: -25650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68770 - -5.\nAnswer: -68765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.453195t?\nAnswer: 9453195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4035 * 1681\nAnswer: 6782835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 27*l - 9. Let m be s(4). Let t = -86 + m. What is the remainder when t is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -2, -3, 3, -1 in descending order.\nAnswer: 3, 2, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r. Let i(h) = -2*h**2 - 19*h + 21. Let p(c) = i(c) + 5*q(c). Differentiate p(w) with respect to w.\nAnswer: -4*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 23 + 17 + -18.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 156\/2223*6\/4\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157314947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(864)*3)\/(sqrt(8) - sqrt(72)\/sqrt(144))*-6.\nAnswer: -576*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67090 + -2348499\/35. Let d = y - -72\/5. Let n = -8768 - -34995\/4. What is the common denominator of d and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 5*c + 5. Let x be u(5). Find s such that -13*s**4 + 4*s - 2*s**3 - 6*s**x + 5*s + 2 - s**3 + 0*s**3 + 11*s**2 = 0.\nAnswer: -1, -2\/3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -3, -5.\nAnswer: -5, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 46.8?\nAnswer: 18.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 42*y + 240. Let c be w(-5). Solve c*f - 108 = 132 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022012221 - 23?\nAnswer: -3022012310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 + 0 + 1)*(3 - 5 + 0 + j) - 5*j + 3*j + 3*j)*(-1 - 2 + 17 - 2 - 1 + 5 + (3 + 1 - 6)*(1 - 1 + 1) - 48 + 27 + 3) to z + m*j and give m.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 34*z - 296. Let t(k) = 2*k. Calculate t(b(q)).\nAnswer: 68*q - 592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243224201 - -24?\nAnswer: 243224230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b - 140 = 0. Calculate the remainder when b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 26*h - 8. Give o(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19323 and 62358.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004029 rounded to 7 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.28 + -7703735260\nAnswer: -7703735260.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (3 - 29) + -2 + (-23 - -44).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44520115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-40)\/(-4))\/((-4 - 0)\/(-2)). Suppose -2*r + w*p + 100 = p, 0 = -3*p + 9. Calculate the highest common factor of 21 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 0*h = 3*h - 6, 0 = -5*t + h - 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -609211 divided by -38.\nAnswer: 609211\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17219536 to the power of 1\/2, to the nearest integer?\nAnswer: 4150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -77*l + 109*l. Suppose l*j + 72 - 218 = 0. Calculate the remainder when 361 is divided by j.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16320 times 6?\nAnswer: -97920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4*((-96)\/(-30))\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 366 - 1102 = 0. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -374*s**2 + 3*s - 10. Let u(c) = 3*c**2 - c + 2. Determine j(l) + 6*u(l).\nAnswer: -356*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (1 + -1) - (-12 + 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 520323 - -15540?\nAnswer: 540303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 4 - (sqrt(432)*-2 - sqrt(432))**2.\nAnswer: -3884 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52, -248, -588, -1078, -1724, -2532?\n\"Answer: -m**3 - 66*m**2 + 9*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - 22\/9*l**4 + 0 + 16\/3*l**3 + 2\/9*l**5 + 8*l**2 = 0 for l.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68848273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9)*1*18. Suppose r*x = -u + x + 477, 3*u = 2*x + 1465. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 2*l + 2. Let p be -1*(4 + -1 + -2). Let q be c(p). Let k(d) = -d**2 - 4*d + 1. Calculate k(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 14. Let u be r(-6). Let b be (-1)\/(u\/8 + -4). Factor 2\/3*q**4 - 2\/3*q**3 - b*q**2 + 0 + 2\/3*q.\nAnswer: 2*q*(q - 1)**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1053) + 2)*1)**2 + 1 + (sqrt(13) + 0 - sqrt(13))**2 + 4*sqrt(117).\nAnswer: 588*sqrt(13) + 16913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 5:22 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s**3 - 9*s + 2. Calculate z(-3).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -49. Suppose z = 2, 0 = -p*s - s - 2*z + 28. Solve k + s = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.386724 months to decades.\nAnswer: 0.1532227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*b**2 - 190*b**2 + 81*b**2 - 408*b**3.\nAnswer: -408*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 958249486 to the power of 1\/3, to the nearest integer?\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 460 and -89 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1053) + -3*-2*sqrt(1053))**2*-6 + -2 + -5 + (sqrt(1053)*2*-1 - sqrt(1053)))*3.\nAnswer: -928755 - 81*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 22 = -4*c, -2*c - 23 = -3*p - 3. Suppose -5*l - 2 = -4*i - 48, -5*l + 38 = -2*i. Is p bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2158.200198 to 0 decimal places.\nAnswer: -2158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:31 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -117138*b - 2459906. What is n(-21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 o when two letters picked without replacement from {j: 2, o: 4, u: 1, m: 1, k: 7, b: 5}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/3)\/(-1 - -2). Let l(h) = -5*h**2 - 15*h + 4. Let k be l(i). Solve 5*n - 4*u + 2*u - 35 = 0, k*n = -u + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2069729?\nAnswer: 2069729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = 15. Let b(o) = -5*o**3 + 3*o**2 + 3. Let f be b(i). What is the highest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 12 + -16 + -4 + 8 + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 816 divide 312680592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239*f + 237*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -23*v**5\/20 - v**4\/12 + v. Let t(n) be the second derivative of n**3\/6 - 6*n**2 + 127*n. Let o be t(13). Determine l(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18642 + 23506.82535.\nAnswer: 4864.82535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-2 + (-7 - -88) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/6 + 7\/2. Let d = -0.2 + 0. Which is the nearest to -1\/4? (a) 2\/3 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17735529.49999924 + -17735526. Let w = -0.15 + 3.65. Let l = w - p. Round l to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008514 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20657?\nAnswer: 7, 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -12*o. Let u be v(-2). Suppose 5*d - u = -9. Solve -d*w = b - 5, -2*b - 4*w + 10 = -w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.94305 millennia in centuries?\nAnswer: 379.4305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 8285?\nAnswer: 8283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d - 2*d + 2*d**2 + d wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 3:26 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*g**3 - 115*g - 130*g - 169*g**3 - 162*g**3 - 172*g**3.\nAnswer: g**3 - 245*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1001001100011110 (base 2) to base 14\nAnswer: da22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -235 + (51 - -182) + (58\/6)\/(20\/6)\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nttnnntntnnnnn. Give prob of sequence ttt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 + -210?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -29?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 10*d - 5*d to the form z + p*d and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 11*b**2 + 1. Let f be p(-11). Find the second derivative of -f + 1 + 38*a - 32*a + 6*a**5 wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 56203*k - 24616943. Give i(438).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 10*p**2 - 4*p - 6. Let g(s) = -3*s**2 + s + 2. Calculate 7*g(q) + 2*y(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3914.579 + 3912. Round r to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -2*n**7\/21 - 2*n**6\/15 + n**5\/5 + n**4\/3 - 55*n + 109. Let a(l) be the first derivative of r(l). Let a(m) = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 30 (b) -5 (c) -9 (d) -0.1 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 221014 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, 7 in decreasing order.\nAnswer: 7, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - l + 265 + 119 = 0, 4*l + 4 = 0. Suppose x + 43 = 6*z. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/144235 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 6. Suppose 0 = 2*q - m + 11, 4*q + m + 47 = -2*m. Find the common denominator of 61\/4 and 1744\/(-20)*k\/q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rwtttwt. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by 248\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/8 and 55\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1436\/7 - -12153\/56. What is the common denominator of 1*-1*247\/(-361) and c?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8520775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*k**5*o + 32*k**4 - 7*k**2 - 2*k - 18*o wrt k.\nAnswer: -480*k**2*o + 768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6825*p**2 - 6110*p**2 - 6140*p**2 + 19884*p**2.\nAnswer: 809*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10013 and 5301?\nAnswer: 90117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {w: 5, u: 1, r: 3}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + ((-162)\/66)\/1 - 855\/660. Which is the closest to 0? (a) -236 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -757646240.00000036 + 757646258. Let t = c - 18. What is t rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 811574, 1623150, 2434726, 3246302?\n\"Answer: 811576*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-4\/5)*j)\/j*j))**(-3\/22) assuming j is positive.\nAnswer: j**(3\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 36*b**2 - 22*b + 8. List the prime factors of y(-35).\nAnswer: 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 3*m + 272, 171 = 5*d + m - 543. Let v = 177 - d. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:16 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 divided by -5?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3328 - 3324. Suppose -g*i - 1\/2*i**2 - 8 = 0. What is i?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/3)*u**(2\/3))\/((u\/(u**8*u))\/u**19))**(-2\/5) assuming u is positive.\nAnswer: u**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 2*h + 0*h. Let k(v) = v + 6. Let a be k(0). Let c(l) = -8 + 2 + a - l. Calculate c(b(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1360)\/(-16) - (-6 + 3 + 1). Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 68) + 46 - 21\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -320013 <= -319895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 1.1. Let y = 23732.98 + -23733. What is the biggest value in -5, y, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5322324 and 35?\nAnswer: 26611620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(4 + (-1 - (3 + 1))). Let x be 2 - (2 - (-1 + 3)). Let t(r) = -3 - r**x + 3*r - 2*r + 8. What is t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 2. Suppose 0 = -0*o - o - b*t + 13, 4*o - 76 = 4*t. Solve 5*u = 2 - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2369 divide 7943257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -16. Let y(f) = -f**2 + 9*f - 19. Let n be y(7). Which is the nearest to -2? (a) m (b) n (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 2. Let f be y(4). Suppose -8*g + f = -6*g. Let v = g - 24\/5. Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.080608*-3\nAnswer: -0.241824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12647859 divided by 17\nAnswer: 12647859\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5310*a + 142. Let z(q) = -2655*q + 63. Calculate 4*w(g) - 9*z(g).\nAnswer: 2655*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1567 - 1602. Which is the third smallest value? (a) -10 (b) -3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 3. Let u = 21 - 29. Let y = 7.9 + u. What is the nearest to 0 in y, -5, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**4\/w**12*(w**3*w)**11 assuming w is positive.\nAnswer: w**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 854900 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 4. Let m be 1\/4 + (-81)\/(-12). Let s be h(m). Suppose 15 = 5*n + 5*x, -5*n + 3*x = -s - 5. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-18) - 22\/6. Let m = h + 7. Put -2, m, 0 in decreasing order.\nAnswer: m, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 54. Suppose -2*k - k = -4*o + 1, -t*o + 30 = 2*k. What is the highest common divisor of o and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -4, 2, 405?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*((o\/((o\/o**18)\/o))\/o)\/o)**(-2\/29) assuming o is positive.\nAnswer: o**(-38\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/13)\/d)**(-3\/17) assuming d is positive.\nAnswer: d**(45\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 158854847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*i + 260780 = 258006 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.08 - -0.82. Let o = f + -0.9. Suppose 5*d - 3*z = 2*z - 5, -3*d - 4*z - 10 = 0. Which is the second smallest value? (a) d (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112178.\nAnswer: 2, 11, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*i + 247 = -5*i, 0 = 5*i - 5. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**3 - 2*t**2 - 4*t. Let a(q) = 68549*q**3 - 63276*q**2 - 126552*q. Calculate a(n) - 31638*i(n).\nAnswer: -26365*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -85\/3 - -29. Suppose v = -4*r + 5*r + 14, 61 = 4*v + r. Let k be (-1)\/(-5) - 33\/v. Which is the closest to m? (a) 0.5 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:54 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*u - 8. Let q be (-334)\/10 + (-8)\/(-20). What is the tens digit of (0 + q)*(-3)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - 98\/7 - (2 + -9). Let b(w) = w**3 + 8*w**2 - w - 11. Let l be b(-8). Let s be ((-1)\/(-3))\/(l\/(-27)). Solve t = 3*d + v + 2, -12 = 4*d - s*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**7\/3780 + 7*v**6\/1620 - 4*v**5\/135 + v**4\/9 - 16*v**3\/3 + 22*v**2. Let c(k) be the first derivative of q(k). Factor c(o).\nAnswer: -2*(o - 3)*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-229)\/21 + 2\/(-21). Sort o, -4, 2, 7 in descending order.\nAnswer: 7, 2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0241 + -3.4341. Let o = b - -4.07. Round o to 2 dps.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 22. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + g + 1. Let y(q) = -17*q**2 - 8*q - 8. Let n(m) = 24*a(m) + 3*y(m). Let i(r) = 1 - 1 - 7*r. What is i(n(l))?\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/14 and (-7)\/(-5)*10\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/49244258 and 87\/70348940?\nAnswer: 492442580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**4\/4 + 1495*y**3\/4 - 575053*y**2\/4 + 65773305*y\/4 + 33174927\/2 = 0.\nAnswer: -1, 261, 974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, c: 1, h: 1}. Give prob of sequence cx.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2401*m + 2391*m + 20. Factor 5\/3 + 10\/3*q + 0*q**m - 10\/3*q**3 - 5\/3*q**4.\nAnswer: -5*(q - 1)*(q + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1637 divide 36212077?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2656409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*d - 34*d - 598*d**2 + 180*d**2 - 2*d**2 + d**2 - d**2 + (3*d**2 - 5*d**2 + d**2)*(4 - 1 - 1).\nAnswer: -422*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 - 14494*m**2 + 142 + 156 + 14500*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 4*v**2 + 3*v**2 + 5*v**2 + 2*v**2 - 2*v**2 + (3*v**2 + 0*v**2 - 2*v**2)*(1 - 3 + 4))*(2*v - 2*v - v).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*c - 11 + 3, 12 = 4*c. Suppose 5*m + 17 = -w*t - 0*m, 4 = -3*t - 2*m. Solve 0 = 3*n - t*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 76.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 - 782637*c\/2 + 612520673769\/4.\nAnswer: (c - 782637)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -323*d**2*i**3*l*y + d**2*i*l*y - 3*d*i**3*y + 206*d*i*l*y + 2*i**3*l*y + i**3*y - i**2 wrt d?\nAnswer: -646*i**3*l*y + 2*i*l*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17635, -36408, -56347, -77452, -99723?\n\"Answer: -583*u**2 - 17024*u - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18986258897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 2. Let s be r(2). Suppose s = 2*q - 2. Find the second derivative of -2*y - 4*y - q*y + 9*y + y**5 wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487449331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 + 231. Let t = 414 - v. Let n be ((-4)\/10)\/(2\/t). What is n rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2. Suppose 3*g - 6 = -x*g. Suppose -3*v - g = -8. What is the greatest common factor of v and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4 - 95*p**3 - 570*p**2 - 1300*p - 1000 = 0. Calculate p.\nAnswer: -10, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.62 + 5.82. Suppose 3*s + 80 = -4*q + s, s = 4*q + 74. Suppose 4*c + 19 = -2*i - i, -2*i - 9 = -c. What is the third biggest value in c, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7750 divided by -2\nAnswer: -3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 7*a + 20 = 4*o, 0 = 3*a - o + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7961 + 26820. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232452 is divided by 6282?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630 by -14.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 1200 = -13*k. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14862441 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33221413 - -1?\nAnswer: -33221412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l. Let x = 1 - 2. Let s = -3 - x. Is y(s) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1308, 1 in increasing order.\nAnswer: -5, 1, 1308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 1. Let l be k(-2). Let p = 0.18 + -0.11. Let f = 0.07 - p. Put l, f, -3 in descending order.\nAnswer: l, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 + 10*u**3 - 13*u**3 + 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpg when three letters picked without replacement from {j: 4, g: 4, o: 1, p: 6}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43580421403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fpfffpppfp. What is prob of sequence fppf?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135 - 80. Suppose -9*x = -53 - u. Solve 3*d + 4*b - 9*b = x, 20 = 5*d - b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, k: 1, d: 4}. Give prob of sequence lk.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11396)\/(-517) - 138\/3243.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3550\/650 - (-6)\/(-13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 + 131?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 35 = 3*o. Let p = 15 + o. Let f be 7\/(28\/p) - -1. Solve 2*a - f = -1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-9504)*(-210)\/3 + (-6)\/(-11)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.6 (b) 2 (c) 25.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 7*s - 73 + 4*s - 16*s**3 - 10*s as p*s**2 + n*s + z + f*s**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23935.\nAnswer: 5, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/4)\/((-115)\/46)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 8*y**2 + 4*y - 2. Is c(8) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 4*m**2 + 3*m. Let t be d(-3). Let f = 140923 - 140916. Solve -11*v + f*v - 8 = t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -10. Suppose -c*p + 5 = 5*q, 2*p + 2*p = -5*q + 5. Let l be (-6 + 4 - -1) + -1. Sort q, l, -3 in increasing order.\nAnswer: -3, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 - 6*f**2 + f - 4. Let d(g) = 7*g**3 + 13*g**2 - 3*g + 9. Let a(b) = -2*d(b) - 5*j(b). What is the units digit of a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11fb (base 16) to base 2.\nAnswer: -1000111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10101 (base 2) to base 11\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 32*o**4 - 1154*o**3 + 12360*o**2 - 33536*o + 2048 = 0.\nAnswer: 1\/16, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11635 or 11710?\nAnswer: 11710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 430828545 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcmzjmzzzszjjzszzmz. Give prob of picking 3 m and 1 s.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t = -2452632 - 69288. What is the thousands digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17002 or 17003?\nAnswer: 17003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*q - 4. Let x = 24 - q. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6394\/33 - 576329\/2970. What is the common denominator of 151\/6 and k?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74.1 + -77.1. What is the nearest to k in -0.4, -2\/11, 0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 113 = -119. Let r(i) = -43*i - 62. Let n be r(-13). Let u = s + n. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94\/1880*(-120)\/537.\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 + 4*b**2 + b - 4. Let d(a) = -a**2. Determine 4*d(x) + k(x).\nAnswer: 2*x**3 + x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26\/15, -0.4, 3, 1, 411689\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -643.8204544 rounded to the nearest ten?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -14.2. Let m = t - -0.04. Round m to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 1576518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/3*((-147)\/(-42) + -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 8186536.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 2*f + 5. Let c(g) = -5*g**2 - 5*g - 11. Let a(m) = -c(m) + k(m). Determine a(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -215 + 221. Suppose 0 = -5*p + 5*c + 25, 8*c = 3*c - 10. Solve -f + 7 = -3*n - a, -p*n = f + 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -0.31. Let l = -5.2 + 2.3. Let q = l - -0.9. What is the closest to u in q, 2\/9, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/5 + 32*h\/5 = 0. Calculate h.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11184201 is divided by 1193.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -10*y + 4. What is the remainder when u(-3) is divided by (82 - 73) + (3 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 2*c + 17 = 0, 3*c = -436*r - 439*r + 880*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1388 or -1385?\nAnswer: -1385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 10055 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-280)*(-28)\/(-8).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 3. Let b be c(0). Let n be (2\/b)\/(5\/30). Solve -4*v = n*g, 5*v = 4*g + 2*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*x - 90 = -65*x. Let u be ((-20)\/x - 10\/(-3))*3. Solve 0 = -2*o + u + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 10*w**2 - 13*w + 8. Let b be k(-11). Let x = 30 - b. Let v(c) = -c**2 - c + 3. Give v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from sslxuxlkslkkkllllxk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2687 + 41 = -7*b. Calculate the greatest common factor of b and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*p**4 - 16*p**3 + 2*p**2 + 964*p + 1 wrt p?\nAnswer: -816*p - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**2 + g**2 - 42 + 2*g**2 - 2*g**2 to s*g**2 + a + f*g and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 9:13 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 48 (b) -4 (c) -2 (d) -0.4 (e) 1\/6 (f) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 2, -2, 35, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51869*a*j**3 - 3*a - 7116*j**2 wrt j?\nAnswer: -311214*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1, 0.04, 94, 33 in descending order.\nAnswer: 94, 33, 1, 0.04, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.9999993 + 33. Round g to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a + 12. Let m be f(3). Solve -5*w + 0*w - 18 = -z, m = 3*w + 4*z - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 100, -6, 4, 1 in increasing order.\nAnswer: -6, 0, 1, 4, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 12. Let i be 27\/(-2) + (-3 - -1) + y. Which is greater: i or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29639 minus 0.3?\nAnswer: 29638.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -383 and 927.\nAnswer: -355041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 48 - 45 = -2*z - 27 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j*j)**(-10\/17)*(((j\/(j\/(j**(2\/9)*j)))\/j)\/j)\/(j*j\/((j**(-16)\/j)\/j)*j) assuming j is positive.\nAnswer: j**(-3152\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o + 3*o - 3*o**5 + (2*o**4 - o**4 + 0*o**4 + 5*o**4 - 4*o**4 - 6*o**4 + (-o + 0 + 0)*(-o**3 + 5*o**3 - 5*o**3))*(-2 + o + 2).\nAnswer: -6*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 1183*n**2. Let y(t) be the second derivative of t**4\/6 - 5*t + 307. Calculate u(y(k)).\nAnswer: 4732*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -82 - -22 - -37?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**6\/120 + 2*m**5\/15 + 2*m**3\/3 - m**2. Let v be i(-8). Suppose l - v = -l. Is 1\/2 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1079\/2222 - -130\/101. What is the common denominator of 782\/(-180) + (-4)\/(-10) and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54780 or -3295?\nAnswer: -54780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d + 3*d)*(-11 + 10 - 6)*(-3 - 1 + 3)*(1 - 1 + 1).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (363\/3630)\/((-2)\/(-380))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = 4*d - 2, -2*y + 4*d + 20 = 0. Let j = y + 0. Let v(l) = l**2 - 8*l - 10. What is the units digit of v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2472149861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/45)\/((-6)\/(-1))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of i**5\/20 - i**4\/2 + i**3\/6 - i**2 - 2*i. What is the units digit of z(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 3503.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 - ((-28 - -1) + 11) - 21?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 15 = 0, r - 45 = -5*p + 6*r. Suppose -3*w = 2 - 14. What is the derivative of w*n - p*n - n + 3 wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -3) + -2 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -119?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 3 (c) -20\/9 (d) 0.097\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 6*g**2 - 4*g - 19. Let a be x(-6). Solve 0 = 2*q - a*b + 19, -5*b = -q - 12 - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1138*c**3 + 2609*c**2.\nAnswer: 6828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -9. What is the biggest value in -11, -2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -908 minus 184.034?\nAnswer: -1092.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 c when four letters picked without replacement from hchhhchchhh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 x, and 2 j when four letters picked without replacement from {d: 3, b: 2, n: 5, x: 7, j: 2, k: 1}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/(42\/(-1080)*-9)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*11784\nAnswer: 2356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94103 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1403280 and 720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (236\/42 - 4) and -11\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5993582.4384 and -205.\nAnswer: -5993787.4384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.685899 and -0.31?\nAnswer: -3.93262869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/24 - -6)*336\/(-3570).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -5)*14\/(-42). Which is smaller: -6\/11 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-6))\/((-11)\/143)*-2*96\/(-128).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 2*o. Let z(n) = -121*n**2 + 8*n + 224. Let v(h) = -12*q(h) + 3*z(h). What is the derivative of v(p) wrt p?\nAnswer: -750*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 7. Let s = -12 - -17. Let h be y(s). What is the greatest common factor of h and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -64, -88, -130, -196, -292, -424?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 135\/675*-1*(-5)\/(-6)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mzynazlyl. What is prob of picking 2 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-14)*7 - -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -676, -1333, -1990?\nAnswer: -2647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -2*t - 150. Let k = 21 - t. Let r = 57 + k. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.44 + -0.06. Let w = -1.4459 - -5.4459. What is the nearest to 2\/7 in -2\/5, 2\/7, i, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 11:27 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {h: 9, q: 11}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - 20*l - 143. Calculate b(-7).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*d - 13, -2*d + 3*z + 23 = -0*d. Let w be ((-6)\/5)\/(d\/(-10)). Solve 0 = -2*r + 6, 2*r = w*u + 5*r - 18 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-2)\/(-7) - (-18)\/(-14)). Suppose l*v = -c + 31, 2*v = c + 5*v - 21. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f - 1. Let a be b(-3). Suppose -3*d = 0, -a*d + 634 = 3*j - j. Suppose 5*g + m + m - 787 = 0, -2*g = 3*m - j. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (216\/48)\/(1 - 82\/84) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f + u + 18 = 6*f, -f + u = -3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10605006 (base 8) to base 14.\nAnswer: 43abd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 95, 89, 83?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30337 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10040 from -11806413912.\nAnswer: -11806403872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267.4926356 take away 8?\nAnswer: 1259.4926356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -70. Solve 5*k + m*k = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 220 = 52. Suppose 0 = 2*a + j + 57, -3*a - u = -0*a - 2*j. Let d = -9 - a. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3587 and 1055.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -5. Let d be (5 + p)\/(2\/1). Solve z + d = -0*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439 = 59*i + 1265 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 18*r - 14. Let b(l) = 4*l**2 + 19*l + 16. Let m(c) = 5*b(c) + 6*u(c). Let t be m(7). Solve -t = 3*h - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**6\/120 + v**5\/6 - v**4\/3 - 3*v**3\/2 - 5*v**2. Let b be u(9). Solve b = -4*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 16*s**2 - 13*s + 35. Let p = -481 + 466. What is f(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/3*(84\/8)\/7. Let v be 258\/z*(-1)\/(3\/8). Let u = v - -243. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 516335?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f - 2. Let d be q(1). Suppose 133 = 4*u + 5*r - 4*r, -d*r + 127 = 4*u. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000 (base 2) to base 5.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u - 4*u - 2*u)*((-4*u + 2*u + 0*u)*(-3 - 1 + 3) + (u - 3*u + 0*u)*(3 - 11 + 0))*(4 + 0 - 1) as s*u**2 + j + x*u and give s.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 39*b**2 + 6)*(24*b**3 - 24*b + 24*b).\nAnswer: 936*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4\/4 + 5*u**3\/4 - 3*u**2\/2 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004039087 to seven decimal places.\nAnswer: 0.0004039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.139 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 1. Suppose -o + 84 = z*o. Let t be o\/6 + (-2)\/(-6). Let c(j) = j**2 - 3*j - 3. Give c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, y: 4}. What is prob of sequence yxxy?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.35972 - -141.33128. Let d = 0.309 + l. Let b = d - 118.7. Round b to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 7*f**2 - 10*f - 4. Determine s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/19 in -2\/5, 0.323, -5, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/7 - 3*i**2\/7 - 15*i\/7 - 9\/7.\nAnswer: 3*(i - 3)*(i + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 14*p**2 + 15*p - 20. Let r be l(13). Suppose u + 2*f + 10 = -f, 4*f + r = -5*u. Solve x - 2*s - 6 = 0, -u*x + x - 5*s - 8 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283194.\nAnswer: 2, 3, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 112131331?\nAnswer: -112132121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*b + 3678 = -1770, -4*y + 5450 = 3*b. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 37a6?\nAnswer: -37ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -477 + 200. Let g be (-183)\/((-26)\/(-16) - 2). Let c = g + n. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -358972\/3 + 121473. Let b = 32743\/18 - z. Find the common denominator of 71\/(-1 - 42\/2) and b.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 35 = -3*y, -2*z - 4*y + 25 = -z. Calculate the remainder when 22 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s - 11. Let l(g) = 3 + 0 - g - 8 - 2. What is -5*c(i) + 8*l(i)?\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2*1\/10). Sort g, -4, -1 in ascending order.\nAnswer: -4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123380821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43480 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 82 = 262. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 5*v - 4*v + v. Let i(s) = -s**2 + 4*s**2 - 2*s**2 + s**2. Determine m(i(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**3 - 2972*r**2 - 6501520*r - 64714000 = 0. Calculate r.\nAnswer: -950, -10, 1703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.090071425 - -0.09005. Round v to 7 dps.\nAnswer: -0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422701 is divided by 301?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52059307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7970, 15943, 23916, 31889?\n\"Answer: 7973*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/2)\/(63\/(-2184)). Let b = 129 + s. List the prime factors of b.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -2.3937591.\nAnswer: -2.6062409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:12 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 38506*c - 1078179. Calculate q(28).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39513.\nAnswer: 3, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/(-504) + 2\/(-24))\/3. Solve v = -35*n + 38*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 62*i + 456. Determine q(5).\nAnswer: 766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, s: 2, k: 2, b: 2, j: 1, a: 4}. What is prob of picking 1 s and 2 u?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -4\/21*n**3 + 5\/14*n**4 + 3 - 5\/7*n**2 + 4\/7*n. Determine s so that u(s) = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.2, -1\/4, 56, 2\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103000220032 (base 4) to base 15.\nAnswer: 68680a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1345375*k + 1345354*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*(d**(2\/11)\/d)\/d*d)*d**16*(d*d**16*d)\/d*d*d\/(d*d**(-8)\/d)*d assuming d is positive.\nAnswer: d**(493\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109407 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p - 4. Suppose 25065 = 786*o - 33885. What is the remainder when o is divided by t(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/m)**16*(m*m**(-1\/10)*m)**(1\/31) assuming m is positive.\nAnswer: m**(39699\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 638 and 7713101?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.8861mm in nanometers?\nAnswer: 614886100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112853 is divided by 112740?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23a77a (base 13) to base 11\nAnswer: -531842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/5 (b) -79 (c) -1 (d) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 + 188*x**2 - 2380*x - 13594. Give f(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 1:34 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -512 divided by -4\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = f. Suppose 2*o + 7 = c, -47 = -3*c - f*c - 2*o. Let a be (-2)\/(-3) - 447\/c. Round a to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + j**2 + 5*j - 3. Let b be t(2). Factor -30*g**2 + 224*g**3 - 111*g**b - 108*g**3 + 25*g.\nAnswer: 5*g*(g - 5)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -1007\/5 (c) -84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1, -51, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 13*n - 38. Let x be h(-8). Let l(z) = -26*z**2 + 13*z**2 + 11*z**x. Let y(p) = -5*p**2. Calculate l(y(j)).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4 = 0, -3*f - 2*f + u - 413 = 0. Let o(j) = -2*j**2 - 5*j - 5. Let t be o(-5). Let w = t - f. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 13. Let z be l(8). Let a(m) = 33*m**2 + 67*m + 3. Let r be a(-2). Put 0, r, z, -3 in ascending order.\nAnswer: z, -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c1509 (base 13) in base 15?\nAnswer: 6c6c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1760, -1637, -1514, -1391, -1268?\nAnswer: -1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/7 + 41*w**4\/7 - 365*w**3\/7 + 1075*w**2\/7 - 750*w\/7 = 0. What is w?\nAnswer: 0, 1, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149401182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004502 to five decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*c + 9 + 26 = 0, 5*o + 10 = c. Suppose -35*k = -27*k + 16. Sort o, -4, k, 1 in increasing order.\nAnswer: -4, o, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 46*r**2 + 203*r + 604. Let h be v(-3). Is 430 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 994 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-55)\/99 + 2\/9. Put r, -1\/5, -7 in ascending order.\nAnswer: -7, r, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 480*c**2 + 41 - 15 - 479*c**2. Calculate the remainder when i(0) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 4*l**5 + (2 + 3*l**4 - 2)*(-2*l + 0*l + 3*l).\nAnswer: 7*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -4 - 3) + (2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26702 = -d + 11830. Let q = d - 25837. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 6*v - 2. Let s be -2*((-90)\/12 + 1 - -4). Calculate m(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -13. Let n be (10*7\/(-21))\/(2\/f). Let t be (3\/15)\/((-8)\/n). What is the closest to 1 in t, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46282 and 1902.\nAnswer: 138846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 732016.2 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 234443 (base 5) to base 13\nAnswer: 3c9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 226*c + 2427. Determine u(101).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*a + 8*a = -19, 5 = -5*a. Let w be (-2)\/12 - 903\/(-18). Suppose 5*k + w = 10. Let y(x) = x - 1. Let s(q) = -2*q + 2. Calculate k*y(m) + v*s(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 1840, 3282, 4736?\nAnswer: 6202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbtzobxbowwzbxb. What is prob of sequence xo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -39993*i**2 - 40*i + 237. Let l be n(7). What is l rounded to the nearest ten thousand?\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(5) - (sqrt(5) + (sqrt(125) - 2*sqrt(125)))).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 20*p - 73. Suppose 3*r - 12*r = 13*r + 286. Determine o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1977 - 1*(-12 - -10) is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32423072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:54 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 4*f**2 + f - 2. Let t be n(4). Let c = 41 + -37. Suppose 5*m = -c*k + 21, t*k - 8 = -0*k. Solve m = 4*d + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(4*d + 5*d + 12*d) + 506 + 25*d - 506.\nAnswer: 67*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -690, -2687, -6004, -10647, -16622, -23935, -32592?\n\"Answer: -c**3 - 654*c**2 - 28*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -535, -701, -867, -1033?\n\"Answer: -166*n - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 39 + 109. What is the remainder when 40 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/9 + 22126136*h**3\/9 + 61195714660172*h**2\/9 - 13599055077640*h + 6799528768050 = 0?\nAnswer: -5531535, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/13421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2 + 3*f - 2*f + 5*f - 7 + 2*f + f**3. What is the units digit of q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y - y + 2*y - 1. Let r = -117885 - -117883. What is x(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 6*d - 37 + 97 + 57 + 47. Let g be v(-27). Determine l so that 0 + 2\/15*l - 4\/15*l**g + 2\/15*l**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 271777?\nAnswer: 271780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12277 - 8666. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3396416?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8675600 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63.1 + 0.9. Let n = -63 + j. Which is the third biggest value? (a) -4 (b) n (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*1*(-8)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.7 + 2.7. Let h = -10 - c. Let w = 189\/4 + -47. Is h bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + -123. What is the second smallest value in w, 4\/9, 0.4, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3199391819845 and -3.\nAnswer: -2.6800608180155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4.8, 2, 0.2, -2\/11, -5, -413.8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 10 - 11) + (-9 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332102210 (base 4) to base 10.\nAnswer: 1041572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 - 5*r**2 + 3*r**2)*(7*r + 19 - 19) + (-3 + 5 - 3)*(5*r**2 - 5*r**2 + 3*r**3) + 3*r**3 + 2*r**3 - 3*r**3 as g*r + f + m*r**2 + d*r**3 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 + 35*u + 129. What is w(-7)?\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 6:53 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -439*m**2*r**2 - m**2*r + 2*m**2 - 18629*m*r**2 - 178731*m*r - m + r**2 + 7*r wrt r.\nAnswer: -878*m**2 - 37258*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1 - -2)) + -2 + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 13*a**2 - 1. What is the remainder when ((-8)\/6 - -1)*-141 is divided by o(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10)\/r*r*r\/(r**(-1\/5)\/r))**(-1)*((r*r**(1\/3))**(-1))**(-5\/2) assuming r is positive.\nAnswer: r**(167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 11 - 5 = -5*n, 0 = -3*g - 2*n - 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538689 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196724 and 165.\nAnswer: 2950860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5\/4)*g*g*g\/(g*(g*g**5)\/g))**(1\/9)*g*g**4\/g*g**6*g**0*g*g**2*g assuming g is positive.\nAnswer: g**(491\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + -1*(-1 - -5). Let q = z - -13. Solve -q*l = f + 22, 3*f + 3*l = 5*l + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 10*m**3 + 8*m**2 - 2*m**2 - 8*m - 7*m**2 - 2*m**2. Let o be y(4). Suppose -103 = -x + 2*l, -3*l = -4*x + o - 158. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-104)\/(-65))\/(-4))\/(((-901)\/318)\/(15\/2))?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(2\/(-5) + (-343)\/(-70)). Which is the nearest to p? (a) 60 (b) -0.4 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -4 (b) 17.19 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 82. What is the remainder when c is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 277.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 325318203 a multiple of 4819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*d**2 + 85*d**2 + 8*d**2 - 40*d**2 - 5*d.\nAnswer: 111*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 8, x: 1, k: 1, i: 1, b: 4}. What is prob of picking 4 g?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -324036352?\nAnswer: -324036357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 549751583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-13)*(-140)\/(-210)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 6:48 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1173224 and 319?\nAnswer: 12905464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 34*a - 61. Calculate the remainder when s(8) is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8668 - 8668.1. Let r = 27 + -39.07. Let m = -12 - r. Which is the nearest to -1? (a) 0.2 (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 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: Collect the terms in -9 + 19145*c + 7 + 2 + 8614*c.\nAnswer: 27759*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010010 (base 2) to base 8.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2471*a*f*o**2 + 4*a*f*o + 205*a*f + a*o - 79*f*o**2 + 10*o wrt o?\nAnswer: 4942*a*f - 158*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9607, -9616, -9627, -9640, -9655, -9672?\nAnswer: -9691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 3 - 3 - 3*i**3 - i**3 + 2*i**3 + (i + 0 + 0)*(-3*i**2 + 2*i**2 + 0*i**2) - i**3 + 4*i**3 - i**3 + (2 + 1 - 1)*(-9*i**3 - 3*i**3 - 12*i**3).\nAnswer: -48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbssbbbb. What is prob of sequence bbbb?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (23 + 73)*(-24)\/(-16). Solve -h*j = -138*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13837 - 13837.000006723. Round i to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, d: 4}. What is prob of picking 1 s and 3 d?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298167860 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 2*v - 180. Let a be (v\/10)\/(1\/(-5)). Calculate the smallest common multiple of (-2 + 3)\/(1\/a) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - 0.5. Let s = 0.8 - w. Let d = 1.6 - s. Which is the closest to -1? (a) d (b) 5\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**5 + 2*f**2 - 506*f**3 + 506*f**3 + (-3 + 3*f**2 + 3)*(f**2 + 6*f**3 - f**2).\nAnswer: 34*f**5 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -708*r**3 + 18661*r**2 + 16197*r - 58?\nAnswer: -4248*r + 37322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1625*c**3 + 92096*c**2 - 1626*c**3 - 2496*c**2.\nAnswer: -c**3 + 89600*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-4) - (-110)\/40. Suppose -2*d - a*d + 15 = 0. What are the prime factors of 2\/2 + d + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.56072 - 0.19972. Let y = -0.361 + z. Which is smaller: -0.4 or y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Let r(i) = 636217*i + 2. What is r(y(q))?\nAnswer: 1272434*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*n + 15 - 36 = 0, -4*w + 3*n + 45 = 0. Let d = 2 + 5. Suppose 0 = 2*k - w - d. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/198 and -47\/23148.\nAnswer: 254628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -667 + 1058. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119382 and 108.\nAnswer: 2148876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (-2*sqrt(432) - sqrt(432)))\/sqrt(9))**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 3*y + q + 20, 0 = -3*y + 4*q + 15. Let l = -58 + 52. Is (-13)\/(-1)*(y - l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/501 (b) -1 (c) -0.5 (d) -3\/8 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k + 6. Let l be y(5). Let f = -633 - -675. Calculate the highest common divisor of l and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 410046 divided by 3\nAnswer: 136682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1234*l - 587*l - 610*l + 2553 for l.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(78))\/(sqrt(6) - 1*sqrt(6)*5))**2 - (-4*(sqrt(13) - sqrt(52)\/sqrt(16))*5)**2.\nAnswer: -20683\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 5. Let o be 6\/h - 2\/(-4). Suppose -o*y + 35 = 3*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 644ea?\nAnswer: 644ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/3 and ((-14)\/(-32))\/((-6)\/(-24)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21188568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 230276 greater than 1611942\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156\/5 - 31. Which is the nearest to 14? (a) 0.4 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62429*-602\nAnswer: 37582258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - (1 - 0 - 11\/(-11)). Let l(u) = 16*u**3 - u**2 - 14*u + 13. Let f(t) = 5*t**3 - 5*t + 4. Let s(o) = c*f(o) - 2*l(o). What is p in s(p) = 0?\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -16, 3*d - 9402 = -5*s + 8*s. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 - (-10 + -2 + -1 + 6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b**3 + 45*b**2 - 8*b - 118. Let w be p(-15). Solve -17 = -w*f - 0*r - 3*r, -15 = -5*f - 2*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -16\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15131*u + 178256 + 279801 + 380367 = 142398 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13) + (sqrt(13) - sqrt(39)\/sqrt(3))**2) + -4.\nAnswer: -3*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/24*-1 + 210\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*l + 5*n, 3*l + 4*n + 24 = l. Suppose 23*v = 15*v + 16. Which is the second biggest value? (a) 6 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2544 + -2544.5. What is the nearest to -1\/3 in d, -7, 5, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -10 (c) 1 (d) -2\/11 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l. Let a(r) be the third derivative of -1\/4*r**4 - 28*r**2 + 0*r**3 + 0 + 1\/60*r**5 + 0*r. Let t be (-2)\/6 + 6\/(-9). Give t*a(j) - 5*b(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + 0?\nAnswer: -2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 12*t**2 - 7*t + 12. Let i be b(8). Let k = -14 + 22. Does 11 divide i\/k*8\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -12525 + 1840. Let j = m + -1189. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9461953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(104) + sqrt(104)*-1)*-1*6)\/(-3*sqrt(24)\/sqrt(12)) + -4)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 11 = h + 5*f, 4*h + f = 13. Suppose -2*r = j + h*j - 104, -2*j + 2*r = -50. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -4, 8517 in descending order.\nAnswer: 8517, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124583 is divided by 20756.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2624450*d**5 - 2*d - 27486 wrt d.\nAnswer: -52489000*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -0.9. Let w(n) = n**3 + 18*n**2 - 41*n - 19. Let s be w(-20). Which is the smallest value? (a) 1\/3 (b) g (c) s (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 79. Let d = x + 132. Suppose -257 = -6*l + d. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooqooqoqq. What is prob of picking 3 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 7 = 10*v - 8*v, 3*x + 12 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5759996, -5759995, -5759994, -5759993?\nAnswer: -5759992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31023320 (base 4) to base 3.\nAnswer: 2202002022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22001 + -21224. What is the remainder when 780 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w - 81 = -34*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2041 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81111, 81172, 81273, 81414, 81595?\n\"Answer: 20*y**2 + y + 81090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*q - 7 = -8*q, 0 = g + 4*q - 10. Let t = -15 - -9. Sort -5, t, g in descending order.\nAnswer: g, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/sqrt(3) + 1)**2 + 5 - ((sqrt(34)\/sqrt(2) - sqrt(17)) + -3)*-4) + -3.\nAnswer: 8 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 2:28 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.68005 + 0.38595. Let s = -1.52 - 70.48. Let g = z + s. Round g to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpwqgqqpwwqepqcqqp. What is prob of picking 1 e, 1 w, and 1 c?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 27*r + 33. Let z be d(-12). Put 2, -5, -4, z in descending order.\nAnswer: 2, z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v = -60*v - 28 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j + 0*j)*(-92*j**3 + 194*j**3 - 29*j - 103*j**3).\nAnswer: j**5 + 29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1624271 is divided by 228?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*s**5*y**2 + 5*s**5*y + 87*s**2*y**2 - s wrt s.\nAnswer: -1020*s**2*y**2 + 300*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13*p. Let i(l) = 11*l. What is i(f(b))?\nAnswer: 143*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 138546977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-168) - 5\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*(3 + sqrt(20) + 5)*-3)**2*-2.\nAnswer: -5672 - 2208*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(q + q - q)*(1855 - 1855 + 526*q).\nAnswer: -1052*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/7 - 484*j**4\/7 - 56577*j**3\/7 + 485514*j**2\/7 + 137268*j\/7 - 5446440\/7 = 0?\nAnswer: -246, -3, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 11:36 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -194585, -194582, -194579?\n\"Answer: 3*y - 194588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 d when three letters picked without replacement from {d: 15, l: 4}?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/12)\/(12\/1080*5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -26654699.\nAnswer: 2\/26654699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 15 = d, 3 = -58*p + 56*p + 3*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -3*n**5 + 18*n**4 - 27*n**3 + 12*n**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0264047 centimeters to nanometers.\nAnswer: 264047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 824729787 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 281355 divided by -3?\nAnswer: -93785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3\/170 (b) 4 (c) 1.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 15, 3*x - n - 816 = n. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a decade in months?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, s: 3, u: 1, a: 1, x: 1, p: 1}. What is prob of sequence sis?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, f: 1, u: 1, y: 1, i: 2}. Give prob of sequence ui.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 16*p - 13*p - 1716, q - 3*p - 444 = 0. Let t be -1 + q\/66 + -5. Which is the nearest to -0.1? (a) t (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddjk when four letters picked without replacement from {j: 1, f: 4, d: 7, m: 2, x: 1, k: 5}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13892 (b) 1 (c) 0 (d) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(21) - sqrt(168)\/sqrt(8)))\/sqrt(3) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnywmln. Give prob of sequence my.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-6) + (4445\/30)\/7. Let n = w - 76. Let o = n - -60. Solve -4*z - 28 = -4*s, 5*s - o*z = s + 33 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 7*h**2. Let j(v) be the third derivative of -v**6\/90 - 25*v**3\/2 + v**2 + 30*v. Let g(d) be the first derivative of j(d). What is b(g(o))?\nAnswer: 112*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54007408447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 165 - 45. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, e: 5}. Give prob of sequence ieee.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-16 - (-7 + 39 + -35))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -19. Let a be 12\/18*(-30)\/l. Solve 0*p - 6 = 2*p - f, -a*f = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*t**2 + 2*t**2 - 8*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19114, -19073, -19032?\n\"Answer: 41*a - 19155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 8382?\nAnswer: 125730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpp when three letters picked without replacement from {c: 9, p: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 12 - -11 - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2281 is divided by 268.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0952863 millilitres in litres?\nAnswer: 0.0000952863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 4:42 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*n + 3*p, -1 = 4*p - 5*p. Suppose -3*f - n*f + 265 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a9b + 263?\nAnswer: -3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -4, 5, -3, 27 in descending order.\nAnswer: 27, 15, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h - 1 = 0. Let b(s) = 1. Let u(t) = -10*t - 3. Let i(x) = 2*b(x) + u(x). Let k be i(h). Calculate the greatest common divisor of k and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67466.\nAnswer: 2, 7, 61, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 3*t = -12, -5*n + 10*n - 15 = -4*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*h + 2154 + 2636, -2*h + 2392 = -2*c. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l**3 - 10*l**2 - 8*l + 9. Let u be w(4). Calculate the greatest common divisor of u and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 281837908, 281837909, 281837910?\n\"Answer: y + 281837907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14399264*h**3*w**3 + 13*h**2*w**3 + 232*h**2*w - 166*h*w**2 + 3*w wrt h?\nAnswer: -86395584*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.741 + 2.562. What is d rounded to one dp?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 718 = -25134. Does 109 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759 less than 0.248?\nAnswer: -758.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3451*c + 3442*c + 216. Suppose 0 = 3*a - 6 - 0. Suppose 10 = t + a. Calculate the highest common divisor of c and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-6))\/(10\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/3450 and 43\/3050?\nAnswer: 210450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Suppose 3*q = 5*r - 572, -3*r - 3*q - b = -351. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161576119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, u: 5, r: 7}. Give prob of sequence fuu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 12*n**2 - 12*n - 3. Let a be q(-11). Let r = 2428 - 2416. What is the greatest common divisor of r and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(2880) - -1*sqrt(2880))*-2 - sqrt(2880)))\/(sqrt(1440) + -5*sqrt(1440) + sqrt(1000) + (sqrt(1000) - (-1*sqrt(1000) + sqrt(1000)))).\nAnswer: 45*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3273*v**2 + 5*v + 1. Let j be d(-1). Let u(s) = j*s - 3264*s - 1 + 1. Let z(g) = -31*g. Determine z(u(q)).\nAnswer: -155*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.62 + 3.178. Let b = -0.042 + n. Let k = -0.4763 + b. What is k rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -22, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -38, -51?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 148\/4 - (-2 - -4). Suppose 0*b - 11 = -3*b - y, -5*b - 5*y + r = 0. Suppose 1 = b*q + 5, 4*n - 3*q - 66 = 0. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1510.364 - -1515. Let j = 0.036 - p. Let v = 5 + j. Round v to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 5*w - 3*w)*(180 - 259 + 140).\nAnswer: -305*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 - 4*w + 2. Let a(j) = 2*j**2 - j - 2. Let l be a(0). Let x = 18 - l. Let f(r) = r - 17. Let v be f(x). Calculate g(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 376, -128, 1\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 1022322734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(14*(-3)\/6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8484442*-18.\nAnswer: -152719956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202002?\nAnswer: 2, 3, 131, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -11*b**9\/3780 - b**5\/40 + 3*b**4\/2 + 44*b. Let o(d) be the third derivative of s(d). Differentiate o(x) with respect to x.\nAnswer: -176*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -1) + (-13 - 6 - -25)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349 - 943 - l**2 + 251 + 373 + 339.\nAnswer: -l**2 + 369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -66615 (base 8) to base 16\nAnswer: -6d8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 140?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34290 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 0.7. Let r be 2\/4 + (-6)\/8. What is the third biggest value in -4, g, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74265 divided by -1.\nAnswer: 74265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6062, -7663, -9250, -10817, -12358, -13867?\nAnswer: -15338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (828\/115)\/((-2)\/(-10)). Suppose 190*u - s = 186*u. Solve 4*x = 3 + u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/38 and -59\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218469417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 72403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*w + 4)*(2 - 2 + 2*w**4) + 37*w - 16*w**5 - 37*w.\nAnswer: -26*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6907, -1\/4, 1\/4, -2\/5, 3\/8 in ascending order.\nAnswer: -2\/5, -1\/4, 1\/4, 3\/8, 6907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 + 440*j + 445.\nAnswer: -5*(j - 89)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -1. Let s(f) = -2*f + 22. Let m(c) = 44*a(c) + 2*s(c). Let o(i) be the second derivative of 5*i**4\/6 + i**2\/2 + 2557*i. Determine m(o(k)).\nAnswer: -40*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 58 = g - 181, 0 = 2*g - 3*k - 228. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.063 + 37.643. Let f = 38 - r. Let n = f - 0.501. What is n rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1568)\/21)\/(-8))\/(342\/(-2052)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x - x**3 - 4*x**2 - 3*x - 3*x - 1. Let n(m) = 7*m**2 + m + 6. Let c(y) = y**2 + 1. Let s(r) = -6*c(r) + n(r). Determine -b(f) - 3*s(f).\nAnswer: f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -9*u + r + 25845, 4*u = 4*r + 20692. List the prime factors of u.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 7:59 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (153\/(-162))\/17*3\/(6\/2).\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 5\/133017561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13884*t - 1004409 + 365377 - 128998 = 662022 for t.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -g + 5 - 1 - 3 + 0*g + 2*g - g - 1 + 1 + g + (-1 + 1 - 2*g)*(0 + 3 - 5) + 3*g - 2*g - 2*g - 2 + 2 + 3*g in the form x*g + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 - -a?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.19497 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2476 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 3, -29 in ascending order.\nAnswer: -29, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i. Let x(n) = -n**2. Let s(f) = 5*f**2. Let d(u) = s(u) + 3*x(u). Give q(d(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 734*u**3 + u**2 - 2*u + 1. Is z(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/136)\/((-287)\/(-2296))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiivggkkigkggkkgki. What is prob of sequence vik?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*r - 6019 = 309*r - 32*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*l - 167 = -452, z = 2*l + 55. Let h(r) = -r**2 + 6*r + 18. What is the remainder when z is divided by h(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 3 + (41 - -5 - 43).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.68 + 0.18. Let g = 0.4 - -0.1. Let w = d - g. Which is the second biggest value? (a) 2 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1348210 - 84.1972\nAnswer: -1348294.1972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 36*d**2 + 38*d + 165. Calculate the remainder when 290 is divided by n(-35).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 1089*h**5\/5 + 10*h**3\/3 + h + 1374. Find the third derivative of x(m) wrt m.\nAnswer: 26136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 5*g**5 + 345*g**4 + 5445*g**3 - 6505*g**2 - 11610*g = 0.\nAnswer: -43, -27, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.14 + -0.03. Let l = r - -1.24. What is l rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-2) - 7\/14. Let l = 6 + -5.8. What is the nearest to l in -4, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-154)*-119)\/(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 22527085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 0.066523?\nAnswer: 1.463506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1025)\/615)\/(285\/(-180) + 17)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (16\/(-30))\/(648\/810) - 82804\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -589445224826 and -0.041.\nAnswer: -589445224826.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35 + 35 - 10*t - t**2 - 70 to the form w*t**2 + m + i*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.8, 472, -3?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 4*t**2 - 2*t + 66. Determine f(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (138\/88)\/(8\/((-448)\/119)). Let p = -95397715573\/1870 + 51014814. Let s = z + p. Find the common denominator of s and -49\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 9:22 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen eighths of a millisecond?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 1403107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 625326537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.824114mg to nanograms.\nAnswer: 2824114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28003, -27996, -27969, -27916, -27831, -27708, -27541, -27324?\nAnswer: -27051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18196536 by 5.\nAnswer: 18196536\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259*x**3 - 26*x**2 - 808*x + 6 wrt x.\nAnswer: -1554*x - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ybbbbbbybbbybbyyfyb.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.4221 - 0.0679. Let c = -0.51 + h. Let y = c - -31.999971. What is y rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 + d - 3. Let m(j) = -2*j**2 - 2. Let f(u) = -6*m(u) + 5*v(u). Let t = 8 - 5. Calculate the remainder when f(t) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 50 = -2*x, -252*m + 249*m - 2*x = -166. What is the greatest common factor of 1314 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418025 (base 14) to base 16.\nAnswer: 21bf71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y + 9. Suppose 3*h + 4*x = -9, 2*x - 1 = -5*h - 2. Suppose 3*f = -f + g - h, 0 = y*f + 3*g - 3. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18092 is divided by 193?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1547 and 5746.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(5)*2 + 0 + 5.\nAnswer: 5 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**3 + 2*g + 4. Let d(t) be the first derivative of t**4\/4 - t**2\/2 - t - 647. Give -2*d(k) - z(k).\nAnswer: 7*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-144)\/(-1092) - (-4)\/26. Suppose -5*g - 7 = -r + 13, -5*g - 30 = r. What is the closest to a in -1\/8, -1, r?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(-3*q + 58*q + 64*q) to the form d + j*q and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 225, 697, 1617, 3135, 5401, 8565, 12777?\nAnswer: 18187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -16032.7 times -0.6\nAnswer: 9619.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2687415 divided by 16\nAnswer: 2687415\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.5 - -22.5. What is the third smallest value in -2\/3, k, 9, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22322760 less than 22322761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/15428 and 79\/392.\nAnswer: 215992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -501 + -11005?\nAnswer: -11510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from ppppwppwppwwppwpppw?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2 + (-13)\/208*-16. Solve -2*b - 2 = 0, 3*c = -b - j*b - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 19. Let s = 73\/66 - 14\/11. Do s and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2856*c = 2850*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461362 is divided by 32950.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*a + 243*a = 117*a - 5555 + 515 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 779?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 2*j - 7*j - 4*s, -2*s - 1 = -3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56636916, 56636914, 56636912, 56636910?\nAnswer: 56636908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 500876*k**3 - 3583443?\nAnswer: 1502628*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90 - -30. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67368.9015 plus -0.7?\nAnswer: 67368.2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 307*t**3\/3 + 524. Let a(x) = -2*x. Determine i(a(h)).\nAnswer: 1228*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 1 + 1)*(3*i - 3*i + i**2) - 5 - 6 + 6 - 4*i + 26*i**3 + 6*i**3.\nAnswer: 34*i**3 - 4*i - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.5. Let v = 51 - 205\/4. Let m(q) = -q**2 - q + 1. Let w be m(0). Which is the third smallest value? (a) w (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**2 - 4*x**4 + 0*x + 2 + 4*x**3 - 12\/5*x**5 + 3*x**6. Suppose t(r) = 0. Calculate r.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -12921\nAnswer: 5\/12921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -1\/60*y**5 + y**2 + 1\/24*y**4 - 1\/6*y**3 + 0*y + 0 + 23\/120*y**6. Calculate the smallest common multiple of 6 and q(1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367321972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 245\/4*l**3 - 41*l + 33\/2*l**2 + 10 - 25\/4*l**4 = 0.\nAnswer: -1, 2\/5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 28 + 25 = 0. Let z = 2 - 6. Let n = 5 - 2. Sort z, m, n.\nAnswer: z, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 244016, 243908, 243800, 243692, 243584, 243476?\n\"Answer: -108*p + 244124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/22)\/r**(-5\/3)*(r*r**(-22))\/(r\/((r\/(r**(-4\/11)\/r))\/r)*r) assuming r is positive.\nAnswer: r**(-1327\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 302650 - 1825295\/6. Let l = p - -1575. Calculate the common denominator of 1\/22 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 2\/5, -5, -1, 8.12.\nAnswer: -78, -5, -1, 2\/5, 8.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - x - 1. Let s be n(-2). Let a = 28 + -26. Differentiate 2 + 1 + z - s + a*z wrt z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0 + 0)*(1 + 1 + 0) + (5 - 6 - 13)*(-2*x - x + x) - 2*x - x + 5*x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeo when three letters picked without replacement from eikeooe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 123211853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295 = 2*u + 3*u - p, 233 = u + 5*p. Let c = -210 + u. What is the lowest common multiple of c and 64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 22*v = -20*v - 76, 0 = n + v - 26. Let k = -7 - -15. What is the lowest common multiple of n and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169345973.\nAnswer: 419, 404167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -157017 take away 0.8?\nAnswer: -157017.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-21))\/(2\/(-6)). Suppose -1 = -s*y + 3*a, -5*y + 30 = a - 15. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -68022, 4, -22, -5 in descending order.\nAnswer: 4, -1, -5, -22, -68022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74393, -148170, -221957, -295760, -369585, -443438, -517325?\nAnswer: -591252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + 40 + (-28 - -7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + i + 2*i + (4 + 2 - 4)*(-2*i - 1 + 1) - 3*i + 5*i + 0*i + 2*i - i - 2*i)*(-1 - 1 + 4).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28303 divided by -17867.\nAnswer: -28303\/17867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20\/17? (a) 0.3 (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62310164 divided by -15577541?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 16*c**2 + 16*c + 15. Let s be f(17). Let o = 27 + -26.74. Put 2\/13, s, o in increasing order.\nAnswer: s, 2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -934, -929, -920, -907, -890, -869, -844?\n\"Answer: 2*n**2 - n - 935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26718260 is divided by 149.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4*q = 9*q + 2, 3*q + 1 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321 - 66. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 8*x. Let g be u(-3). Let f = -51\/2 - g. Let s = -1\/2 + 3\/4. Which is the nearest to 1\/3? (a) f (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -220\/19 in -1\/5, 747\/4, 1\/3, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.02, -5, -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*l - 641 = -9 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(21)\/sqrt(3).\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5952023.\nAnswer: 7, 11, 17, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 273729630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 33 - 133 = 0. Put 4, h, -27 in increasing order.\nAnswer: -27, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119713 is divided by 516.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9431.68 + -9365. What is d rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 10 + -3 + -31.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3433763?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.4328 + -0.1328. Is i > 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 10*m = 50, -2*v - 1780*m - 20 = -7*v - 1776*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 15. Let k = -1 + a. Let q(v) = -v - 1. Let s(d) = d**2 - 5*d - 5. Let z(t) = q(t) - s(t). Give z(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5\/4 + 18507*g**4\/4 + 73955*g**3\/4 - 1054631*g**2\/4 + 185055*g + 462575 = 0.\nAnswer: -18503, -10, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 2*a + 15081 = -20009. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-15) - (-3 - -8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 6 = 7*u. Let a(q) = -q**2 + 6*q. Let s be a(u). Let v be -2 - (-6 + 3 - s). What is the nearest to v in -4, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -115 - -162. Suppose 0 = w + 3, -2*b + 0*b = -5*w - g. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19184 divided by -22\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 11930 - 6070. What is d rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 111 - 104. Let j(v) = 21*v - 27. What is the hundreds digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, 1 d, and 1 f when four letters picked without replacement from aafafaadahddaaahada?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13508380 and 1460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o - 0*o - 2*s, -5*s = -o + 21. Let h be 36\/(-10) - 4\/10. Let a = 19 - 21. What is the nearest to o in h, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 + 5*j**2 + 245*j - 245.\nAnswer: -5*(j - 7)*(j - 1)*(j + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 361484 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2705 = 3*k + 2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 5*m + 6. Let a be u(6). Suppose -1008 = -0*x - 12*x. Suppose -17*h + 13*h + x = a. Calculate the remainder when 145 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(252))**2 - (sqrt(70)\/(sqrt(50)\/sqrt(5)) + sqrt(7)).\nAnswer: 10*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1441417 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 447 divided by -3\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/13741920 and 19\/20.\nAnswer: 13741920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 161508. Let s(y) = -2*y. Calculate f(s(q)).\nAnswer: -6*q + 161508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/4 - 6389*h**4\/4 + 248109*h**3\/4 - 2916095*h**2\/4 + 4587875*h\/2 = 0.\nAnswer: 0, 5, 17, 6350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 + -828. Let h = -491 - x. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.5 (b) 43\/45 (c) 1 (d) 425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = z + 22, -6 - 24 = 2*v + 10*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is d0ad (base 16) in base 14?\nAnswer: 1567b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -475.979 rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -95, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17909 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16394 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 - -999. Calculate the remainder when b is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6007900792 - 5*w**2 + w - 6007900792.\nAnswer: -5*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 11*c**2 - 15*c + 15. What is u(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 24. Suppose 0 = -3*q - g*u - 170, -225 = 4*q + 6*u - u. Let i = q + 56. Calculate the least common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*l + 3 = 0. Let f be ((-5)\/(-2))\/(l\/(-6)). Sort f, -4\/5, 0.\nAnswer: f, -4\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 10:56 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) - -2*sqrt(616)*5)\/(-2*sqrt(176)))\/((sqrt(200) + (sqrt(200)*2 - sqrt(200)) - sqrt(200))*6*3).\nAnswer: -11*sqrt(7)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q**3 - 149*q**3 - 526*q**3.\nAnswer: -632*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 196*o - 2499. Let i be j(31). Sort i, 1, 4 in ascending order.\nAnswer: 1, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3511 - 3547.58. Let b = t + 36. What is b rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38130793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 192*j = -64*j + j. Factor j + 7\/3*b**4 - 16\/3*b**2 + 5\/3*b**3 + 4\/3*b.\nAnswer: b*(b - 1)*(b + 2)*(7*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 314\/15 - 104\/5. Let z = -1298 + 2230. Let m = 932.3 - z. Put 5, m, t in decreasing order.\nAnswer: 5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11770990?\nAnswer: 2, 5, 7, 11, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1856 - 760. Calculate the remainder when a is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9 - 183*z + 343*z - 176*z. Is o(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(1 + 1). Let q be (w*14)\/(2\/(-2)). Suppose -4*t - 3*r + 8*r = -56, -4*t = 5*r - 56. Calculate the highest common factor of q and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) 3 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 175 and 50?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013991529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*w = 1517 - 1337 + 3120 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1300) - (sqrt(1300) + 2 + 4))*5 + -5.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4198 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -11. Let o = 10 - n. Calculate the remainder when 11 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166248*n**2 + 16*n**3 - 166248*n**2.\nAnswer: 16*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 49, -10?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 90, -0.6 in decreasing order.\nAnswer: 90, -0.6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 404*y**3 - 14*y**2 + 27*y - 6. Let z(p) = -202*p**3 + 8*p**2 - 14*p + 3. Let r(o) = 4*w(o) + 7*z(o). What is the second derivative of r(i) wrt i?\nAnswer: 1212*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*(x**0\/x)\/x*x*x*x**(-4\/5))\/(x**(-1\/5))**(9\/4))**(2\/17))**(-1\/85) assuming x is positive.\nAnswer: x**(-33\/14450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128542 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -9, -18, -27?\n\"Answer: -9*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -113202344 (base 5) to base 7\nAnswer: -4303343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 67455884 to the nearest 10000.\nAnswer: 67460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3213 and 1071.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -799.65657 less than 0.141?\nAnswer: 799.79757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 1802.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246 - 243. Solve 0 = l*p - 5*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1093*z + 1021*z + 117289 = 225*z - 324*z for z.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9503956 divided by -22.\nAnswer: -431998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/102 + 944\/51. Let a = l - 18. Factor 0 - a*i - 1\/2*i**2.\nAnswer: -i*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2. Let k be (44\/(-16))\/((-1)\/(-28)*-1). Let x(g) = -k*g - 78*g + 141*g. What is l(x(p))?\nAnswer: -588*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10956, 10955, 10954, 10953?\n\"Answer: -q + 10957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36*i*o*s - 2*i*o - i*s + 177*i - o**3 + 2*s wrt o.\nAnswer: 36*i*s - 2*i - 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - o**2 + 3)*((-1 - 1 + 5)*((-1 + 2 - 2)*(6 + 0 - 2) + 0 + 0 + 2) + (1 + 1 - 4)*(-2 - 1 - 1)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 289 - 1573?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 408, 3, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*h*x**2 - 1144*h + 149*x**2 + 15*x - 238 wrt x?\nAnswer: 14*h*x + 298*x + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - d - 4*b - 20, -14 = -3*d + 2*b. Solve 0 = 2*f - d*f + 10, -4*f = -5*c - 40 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2810 + 305 - 167395*i + 167395*i - 2200*i**2 wrt i?\nAnswer: -4400*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c. Suppose -2791 = -5*x - 4*n, 3*x - 494 = 3*n + 1159. Suppose 6 = -561*k + x*k. Let y(o) = -3*o + 3. Give k*y(r) - 4*v(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/2)\/(-3)*(-150)\/(-45). Suppose -b*h + 7*h = -450. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0945131 times 0.4?\nAnswer: -0.03780524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 20490735600 to the nearest 1000000.\nAnswer: 20491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430407 is divided by 626?\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3279621179 less than 11314.3?\nAnswer: 3279632493.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 117*x + 116*x = -5462, -4*d + 10936 = -4*x. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 5*g**3 + 4*g**3)*(770*g**2 + 438*g**2 - 930*g**2).\nAnswer: 278*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.7 - -24.8. Let p = b - 88.1. What is the second smallest value in -4, p, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1575095.9 - 1575095.97699937. Let d = r - -0.077. What is d rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 3\/7, 5\/6.\nAnswer: -4, 3\/7, 5\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 130*w. Let q(s) = 6*s**2. Give q(u(c)).\nAnswer: 101400*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -14*x**3 - 33*x**2 - 1058*x - 2107. Determine u(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 31502*i + 8. Let y be a(-4). What is y rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14643 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 159 - 159 + 2*k**5 + (6*k + 7*k - 6*k)*(3*k**4 + 2*k**4 - 6*k**4).\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 10*f**2 - 41. Let v be x(-11). Let l = v + 38. List the prime factors of l.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 0.1 (c) -0.04 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*q - 21, 0*q - 2*q = -z - 9. Suppose -5*c + 3*o = -358, 5*o - 19 = z. What is the common denominator of c\/(-22) + (-7)\/7 and 43\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**12*x**(-10))**(-32\/7)\/((x**(-2\/11)\/(x\/(x**(-7)*x)))\/(x\/(x*(x\/(x*x**1))\/x)*x**4)) assuming x is positive.\nAnswer: x**(1201\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 2*i - 3*i**4 + 2 + 2*i**4 - 2 + (-4*i**2 + 4*i**2 + i**2)*(-1 + i**2 + 1) + 0*i**4 + i**4 + i**4 + (i**3 + i**3 - 3*i**3)*(3*i + 0*i - 2*i).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139678 and 6095040?\nAnswer: 67045440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 544442*g**3 - 6*g**2 + 66336.\nAnswer: 3266652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(4)*-6)\/(sqrt(125)*1).\nAnswer: -6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303.59174 + -13.\nAnswer: -316.59174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 616 or 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48.10000639 - -48.1. Round a to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303 less than or equal to 2299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d*(d*d**(-22))\/d)\/d)\/((d*(d\/(d\/(d**(1\/23)\/d)*d))\/d)\/d))\/((d**23\/d)\/d*d**(-7\/5)*d*d))**30 assuming d is positive.\nAnswer: d**(-26664\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -26*c - 85. Let w(a) = -26*a - 84. Let k(d) = -2*u(d) + 3*w(d). Differentiate k(t) with respect to t.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4455 divided by -55\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v + 5, -3*v + 408 = 3*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o - 42. Let g(m) = -2*m - 42. Calculate -4*g(n) + 3*t(n).\nAnswer: 2*n + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wv when two letters picked without replacement from {a: 2, v: 2, m: 3, w: 1, c: 4}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871048.3km to nanometers.\nAnswer: 871048300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 615.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -4*w + 5, -3*w - 5*g = 25. Suppose -7*y + 8*y + 33 = w. Does 11 divide (y\/2)\/((-10)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + -105. Calculate the remainder when 226 is divided by b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -30725, 4, 3, -2 in decreasing order.\nAnswer: 4, 3, -2, -130, -30725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1025 + 1031. Let i(c) be the second derivative of 10*c + 0 - 20*c**3 - 35\/12*c**4 + 6*c**5 + 8\/3*c**y - 45\/2*c**2. Factor i(s).\nAnswer: 5*(s - 1)*(s + 1)*(4*s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4380852 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.135*1855\nAnswer: 250.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/48)\/((-84)\/(-448))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 1220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6318 divided by 702?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15690 = 5*z + 5*l, -9404 = z - 4*z + 2*l. Suppose 6*u = -10*u + z. What is u rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z + 0 + 0)*(-6 + 5 + 5)*(0 - 3 + 1)*(4 - 2 - 1) to the form h + r*z and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*q - 6, i - 5 = q. Let y be 4\/3 + (-4)\/(-6). Let b(l) = -15*l - 242. Let v be b(-16). Put v, y, i in ascending order.\nAnswer: v, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21054.03 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g*g**(-2\/3))\/g)\/g)\/(g**(5\/4)*g))**(-37))**7 assuming g is positive.\nAnswer: g**(12173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38464222 is divided by 377100?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 9*b**2 + 9*b - 7. Let s(a) = 2*a**2 + 4*a + 2. Let p be s(-3). Let c be n(p). Factor 5\/2*o - c - 3\/2*o**2.\nAnswer: -(o - 1)*(3*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1493298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v**4 + 45*v**2 - 305*v?\nAnswer: 24*v**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/30 + 2*t**5\/15 - 115*t**4\/6 + 728*t**3\/3 + 3*t**2 - 83*t. Factor a(i).\nAnswer: 4*(i - 7)*(i - 4)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 13) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 < 424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 188.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/36)\/((-2)\/(-8))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**3 + 149*p**2 + 213*p - 427. Let w be q(-73). Calculate the greatest common divisor of w and 28127.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 749.73321 minutes?\nAnswer: 0.5206480625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3105557293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5006003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a + 1. Let b(m) = -15*m + 1. What is -3*b(c) + 5*o(c)?\nAnswer: 10*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, a: 3, d: 1, r: 2, m: 2, o: 1}. Give prob of sequence aar.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272316 is divided by 766?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 - 1464 = -102*g - 6436 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 387 (c) -2\/881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*-0.597081.\nAnswer: -1.0150377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 80 (base 9) to base 15\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (75\/(-36) - -2) + (-10)\/(-15). Let i = -5\/4 + z. What is the nearest to -1 in i, -4, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*m**2 + 1 - 14*m**2 + 2*m**3 + 11*m + 28*m**2)*(56 - 12 - 18).\nAnswer: 52*m**3 + 26*m**2 + 286*m + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jffjxxfff. Give prob of sequence jfff.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6261177 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 388047, 388055, 388077, 388119, 388187, 388287, 388425?\n\"Answer: p**3 + p**2 - 2*p + 388047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.543678 millennia to centuries.\nAnswer: 95.43678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 3:09 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 36 - 35 + 45 + l - 124.\nAnswer: l - 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 92*z**2 + 40 - 3*z**4 - 42 + 1219*z**3 - 1216*z**3 in the form n*z**4 + m*z + k*z**2 + f*z**3 + v and give k.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.41, 4?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/36, 1, 0.5, -787\/2, 3\/7, 1\/6, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 244124*y + 976560.\nAnswer: -4*(y - 4)*(y + 61035)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 424.5808 centimeters?\nAnswer: 4.245808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -54, -82, -110?\n\"Answer: -28*a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**4 + 9*o**2 + 4*o + 24188?\nAnswer: -12*o**3 + 18*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**9\/3024 - u**6\/180 + 4*u**3\/3 + 2. Let z(b) be the third derivative of t(b). Find the third derivative of z(d) wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 9394 = -1969. Calculate the remainder when x is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 13668.7.\nAnswer: 6834.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 10) to base 9\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89504 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 + 0.21. Let i = 0.86 - 0.93. Let f = i + w. Sort 2\/13, f, -1\/6.\nAnswer: -1\/6, f, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(320) + 4 + (sqrt(320) - (sqrt(320) - (1*sqrt(320) - sqrt(320)) - sqrt(320))) + sqrt(320) + -1 + sqrt(320) + 0 + sqrt(320) + 2)**2.\nAnswer: 80*sqrt(5) + 8001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4077055 (base 8) in base 15?\nAnswer: 1653d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -225799*k - 2257994. Give v(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + p + p - 15.\nAnswer: 3*p - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322 + 333. Let g(j) = 13*j - 4. Let p(z) = -7*z + 1. Let v(i) = h*p(i) + 6*g(i). What is v(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 714 or -2\/367367?\nAnswer: 714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 + 5 = 0. Suppose -2*z - 2 = -3*t + 7*t, -a*t = 2*z - 6. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.119153473 * -0.1.\nAnswer: 0.0119153473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*0\/((-10)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/25 - (-37)\/5. Suppose -40 = -4*j + v. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 55 + 215 = 0. What is the least common multiple of 18 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54680, -218746, -492202, -875048?\n\"Answer: -54695*v**2 + 19*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 29*g**2 - 2062*g - 10*g**2 + 2052*g - 21 - g**3. Does 63 divide d(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4090941, -8181883, -12272825, -16363767?\nAnswer: -20454709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3931\/41 - 144425\/861. Let n = z - -264. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42402 and 8769.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.705572379 - -5337?\nAnswer: 5336.294427621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 873 + 55*b**3 - 873 - 4*b**3 + 2*b**3 + 8*b**3 + (0 + 0 - b**2)*(1 - b - 1).\nAnswer: 62*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12\/67 + -517\/268. Let s = 1.9 + -1.4. Let x = 1\/71 - -68\/213. What is the smallest value in s, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 2*f - 3. Let o be p(3). Suppose 4*y + 8 = -o*y. Which is bigger: -3\/4 or y?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Let x = 0.54 + -0.84. Let u = -0.05 + 0.35. What is the nearest to j in u, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11031202 divided by 14?\nAnswer: -787943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26025, -52045, -78061, -104073?\nAnswer: -130081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10440851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Suppose 2*a + 5*h = 0, 5 + 5 = -3*a - 5*h. Let c = 12 + a. Let d(m) = 0*m**c + 9*m**2 + m**2 - m**2. Give j(d(z)).\nAnswer: 81*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 16, i: 4}. What is prob of sequence ini?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10588 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 3*o**3 + 5*o**2\/2 + o - 442. Determine b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-16)\/(-2))\/(-128)*(-3 - 6).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by 1.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 20*y**2 - 105*y - 5. Calculate h(-6).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/81)\/(4\/(-24)*3)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 480 - 28799\/60. Let v(c) be the third derivative of 1\/6*c**3 + c**2 + 1\/48*c**6 + 0*c - q*c**5 + 0 - 5\/48*c**4. Suppose v(h) = 0. What is h?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1101 - 433. Suppose -36*m + o = -124. What is the least common multiple of 224 and m?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*a - 68*a - 240. Suppose 263074 - 63114 = a*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k - 2*k. Let j(f) = 0*f**2 + 2 - 2*f + 2*f**2 - 5. Let l(d) = 3*d**2 - 2*d - 4. What is k*j(q) - 3*l(q)?\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, 44, 173, 354, 587, 872, 1209?\n\"Answer: 26*o**2 - o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12244\/13 in 1\/4, -5, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10014 and 9.\nAnswer: 30042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.478048t in micrograms?\nAnswer: 1478048000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 442\/39 + 3 + 2\/(-12)*-10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Suppose -4*h = -d*y + 22, -2*y - 2*h + 3*h = -10. Let u(l) = 4*l**2 - 3*l - 2*l**2 + y*l. Let v(w) = -w. What is v(u(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 772155.1 micrometers in nanometers?\nAnswer: 772155100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + -4)\/(0 + 9\/11379) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002250936824 rounded to seven decimal places?\nAnswer: 0.0002251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 2\/19, -9.4, 5, 1, -0.214, 3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-4) - (-3 + 2)*4. Sort 0.3, c, -5\/2 in increasing order.\nAnswer: -5\/2, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-18 - ((4 - -17) + -36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-136)\/(-180) + (-83)\/((-11952)\/64)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 48. Let v be r(15). Let j = 59 + v. Calculate the remainder when j is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364935199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -3\/7 (c) -36331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 984305\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)*s\/s**(1\/8)*s)\/(s**(-10)*s*(s*s\/(s*s**(-7)))\/s))**(4\/13) assuming s is positive.\nAnswer: s**(-1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*q**2 - 15*q**3 + q**3 + 27*q**2.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*b + 225, 0 = 5*b - 0*j - 4*j - 258. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106953 and 47817?\nAnswer: 22139271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (-9 + (-5)\/((-5)\/4)). Let y(j) = 14*j**2 + 5*j. Let u(m) = 153*m**2 + 54*m. Calculate n*u(k) - 54*y(k).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3\/12*(-23248)\/462054\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/5 + 2\/5. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, a: 2, f: 1, e: 3}. Give prob of sequence eoao.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*f**5 + 1474*f**4 - 6134*f**3 + 926*f**2 + 9776*f + 1272 = 0. What is f?\nAnswer: -53, -1, -2\/15, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)\/k*k\/k**3)**(-18) assuming k is positive.\nAnswer: k**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18607396 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -27. Let q = 0 - t. Let n = 11 - q. Which is the third biggest value? (a) -2\/3 (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.89728 days to hours.\nAnswer: 1557.53472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-27 - 20 + 35)*(-2*n**4 - 12*n**4 + 57*n**4) to the form m*n + c*n**4 + d*n**3 + b + i*n**2 and give c.\nAnswer: -516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 9445, 0.23 in descending order.\nAnswer: 9445, 3, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 291*h + 0*h**3 - 124*h to q + j*h + n*h**2 + l*h**3 and give j.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1797 + 1796.9. Put y, -2, 29 in increasing order.\nAnswer: -2, y, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 2*v + 6 = 0, -464 + 434 = 5*g + 2*v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -444747092 * -5\nAnswer: 2223735460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-6))\/(3\/(-2)). Let k = 7 - x. Let c(l) = 2*l**2 - 2*l + 3. What is the remainder when c(k) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(17\/2))\/k)**(-12\/7))**(-50) assuming k is positive.\nAnswer: k**(-5100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15989 and 1121?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04697513 to four dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/10)*(o\/o**(2\/11))\/o*o\/o**(-4\/9)*o\/o**(-2\/9) assuming o is positive.\nAnswer: o**(919\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -5, -4, 0 in decreasing order.\nAnswer: 13, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1841523, -3683044, -5524565, -7366086, -9207607?\nAnswer: -11049128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 1264950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135416*y**2 + 67898*y**2 + 67552*y**2.\nAnswer: 34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**3 - v**2 + 6*v + 13. Let h(t) = 11*t**3 + t**2 - 12*t - 27. Let u(i) = 13*g(i) + 6*h(i). What is u(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z = -x - 51*z - 155, -2*z + 0*z = 10 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3550, -14163, -31852, -56617, -88458?\nAnswer: -127375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 9*u - 27, -2135*p + 2132*p = -u + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2769*l**6 - 5213*l**2 wrt l.\nAnswer: -332280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6615\/5)\/63 - (-6987)\/(-333).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9395173 millennia in decades?\nAnswer: 93.95173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 127\/7. Let z = 20 + -14.4. Let j = -0.6 + z. What is the third biggest value in k, j, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35124611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/7 - 32359178*o**2\/7 + 97077520*o\/7 - 64718344\/7 = 0. What is o?\nAnswer: 1, 2, 16179586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 19\/4 - 1\/(-4). Suppose -60 - 15 = -t*j. Suppose -3*z = -6 - j. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w - 3*w - 7*w**2 + 3*w + 0*w**2 - w. Let x(i) = -4*i - i**2 + i + 4*i. Determine -5*x(r) + y(r).\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-8) - -2)\/(22\/(1584\/30)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 4. Let g = 40 + -37. Suppose -1 = m + g. Let w be i(m). Which is the second smallest value? (a) 1\/7 (b) w (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 11*l**2 - 51*l + 54. Let u(h) = -3*h**2 + 17*h - 18. Let m(i) = -2*f(i) - 7*u(i). Solve m(o) = 0 for o.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 3\/7 (c) 31 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5) + -25 + 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 18819102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 364 (c) 0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, -2\/3, 131, 1\/5, 0.1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3408550.\nAnswer: 2, 5, 68171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/6 + 3)*24\/30. Which is the nearest to 1\/5? (a) -0.22 (b) t (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.9365985 to 2 dps.\nAnswer: 3.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 71, 230, 503, 896, 1415, 2066?\n\"Answer: o**3 + 51*o**2 - o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 - 2*x - 3. Let n be g(-3). Let q(d) = -4*d + 4*d**2 - 3*d**3 + 4 + 4*d**3 - d**2. Let j be q(-4). Which is smaller: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91243656 minus -16?\nAnswer: 91243672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -20. Suppose 0 = l - 57 - 4. What is the remainder when l is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1819 + 3*m**2 - 2*m**4 - 1960 + 10*m**3 + 3*m**4 to u*m**2 + c + o*m + s*m**4 + r*m**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -574859 - 24?\nAnswer: -574882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 0*s**3 + 0 + 1\/30*s**5 + 0*s**4 + 2*s**2 + 0*s. Let v(p) be the third derivative of p**5\/30 - 3*p**2. What is v(c(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 11*m - 3016 = 0. Is m a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {x: 2, q: 3, a: 5, k: 10}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 6:10 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294*d + 56*d - 179*d + 31*d.\nAnswer: -386*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/(-3)*795\/(-4). Round v to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 6*c**2 + 7*c + 2. Let k = 1 - -5. List the prime factors of n(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(4 + sqrt(1573) + 0) - -4*-1*(-1 + sqrt(1573))) + -3)**2.\nAnswer: -396*sqrt(13) + 6373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.961 - 6.921. Which is the third smallest value? (a) z (b) 16 (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a factor of 21671037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 19*s**2 - 2*s - 23. Let q be i(-19). What is the derivative of 21 - q - 5*a**2 - 4*a**2 wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 391 by -94499.\nAnswer: -391\/94499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 5*x + 13 = -78 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 3:08 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/20 - 8\/40) + 2\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-26)*m)\/(((m**(-2\/5)\/m)\/m)\/m))\/(m**(-2))**(2\/49))**(-3\/29) assuming m is positive.\nAnswer: m**(15816\/7105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (25 - (27 + 14))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/6 and 151\/1752?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19.700005264 - 19.7. Round q to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45763761425\/916 - 49960446. Let j = g - -3\/229. Which is smaller: -9 or j?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 4249.65\nAnswer: 4249.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 152\/360*3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -19. Let o = -21 - i. Calculate the remainder when 15 is divided by (72\/32)\/((-6)\/o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**3*l + 2*k**2*l**2 + 46*k**2*l - k*l**2 + 454*k - 4*l**2 - 2 wrt k.\nAnswer: -18*k*l + 4*l**2 + 92*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -404, -4, 0, 2, -3, -1, -5817.\nAnswer: -5817, -404, -4, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 1234?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -14868616.\nAnswer: -9\/14868616","meta":{"dup_signals":{},"source":"arithmetic__div_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: Let o = -1.97 + 2. Let n = o + -0.43. Let z = 0.2 + -0.3. Which is the nearest to z? (a) n (b) 0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 - 15*n - 6. Let p(i) = 6*i**2 + 15*i + 7. Let v(q) = 7*k(q) + 6*p(q). What is the second derivative of v(g) wrt g?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -26. Let g be 4\/48*j + (-30843)\/4. Is ((-3)\/(-6))\/(38547\/g - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-4) - 68725\/(-100). What is the greatest common factor of w and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (348\/638)\/((-1)\/(-11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 7*i**4\/12 + 239*i. Let c(t) = 70*t**2. Calculate 2*c(a) - 21*r(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 131885 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 7.7. Suppose -4 + 1 = -5*u - n, 3*n + 6 = 0. Which is the closest to 1? (a) -3\/4 (b) u (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 3*o**2 - 43*o + 725. What are the prime factors of y(21)?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-6) + (-4)\/(-6). Solve c - f + 4 = 0, 10 = -c + a*f + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585 = 1648*h - 1583*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69270 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9549 + 28676 - 9566 + 2*g - 9561 - 8*g**3.\nAnswer: -8*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.83 to zero dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22503 = 3*n + k + 1778, -3*n = -5*k - 20701. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 2 - 19) + 2. Suppose 67 = -4*d - v, -5*v + 3*v = 5*d + 80. Is b not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -143ab?\nAnswer: 143ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 564 = -3*s - 577, f = -2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73991390387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(252) + (-1*sqrt(189))\/sqrt(3) + (((sqrt(28) + 1 - sqrt(7)) + sqrt(7) + sqrt(175)*-3)*1)**2.\nAnswer: -23*sqrt(7) + 1184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*v - 34. Suppose 0 = 4*i + 4*k, -2*i + 21 = -v*k + 2*k. What is the smallest common multiple of i and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -5)*(-1)\/10. Let u = 0.1843 + 0.8157. Sort -1, v, u.\nAnswer: -1, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -14*l**2. Let c(w) = -w - 2. Determine k(c(o)).\nAnswer: -14*o**2 - 56*o - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 6*s + 6201 = 0. Suppose -6*n - 7*n = -s. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59692081 minus -2608.87?\nAnswer: 59694689.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4 + 5)*(-3 - 2*g + 3) + g + 0*g + g + (-30 - 20 + 4)*(14*g - 2*g + 9*g) to the form u*g + z and give u.\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9410 by 5.\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6808 - 6800. Let m(s) = 3*s**3 - 21*s**2 - 53*s + 30. Let f(l) = -l**3 + 7*l**2 + 18*l - 10. Let k(i) = 17*f(i) + 6*m(i). Determine k(u).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*j + 55*j = 3718. List the prime factors of j.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43183464?\nAnswer: 2, 3, 1799311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3048*r + 12. Let h(y) = -27436*y - 113. Give -2*h(o) - 19*m(o).\nAnswer: -3040*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1504, -1617, -1812, -2095, -2472, -2949, -3532?\n\"Answer: -d**3 - 35*d**2 - d - 1467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 949193.2um in millimeters?\nAnswer: 949.1932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 12 = -v. Let q(k) = 197*k**2 + 7*k + 7. Is q(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 + -2.9. Is p equal to -2.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71395.23 decades in years?\nAnswer: 713952.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -575 and -0.011?\nAnswer: 6.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + 4*m**2 + 2*m - 5. Let r(o) = -2*o + 22. Let b be r(13). Let d(p) = -3*p**3 + 5*p**2 + 3*p - 6. Calculate b*d(v) + 5*x(v).\nAnswer: 2*v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.5 (b) 0.2 (c) 2\/23 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.3 (c) -0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 192 - 332. Let s be (-1)\/(-5) - 77\/v. Let y be ((4 - 1)\/(-15))\/1. Which is the third smallest value? (a) y (b) s (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:14 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164054.\nAnswer: 2, 11, 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1232320123 (base 4) to base 10\nAnswer: 454171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 12, -5 in descending order.\nAnswer: 12, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 108745 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -486 - -472 - (5 + -6 - 45)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(35\/2))\/(5*14\/5635).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**3 - 272*z**2 + 201*z + 71. Calculate b(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 8:20 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 - 3*k. Let h(w) = 2*w**2 - w. Calculate -5*h(g) + 2*z(g).\nAnswer: -4*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/22976 and -67\/72.\nAnswer: 206784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 15 = 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o - 273 + 273 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.9, -62, 329, -1\/3?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -51, -64, -83, -108, -139, -176?\n\"Answer: -3*h**2 - 4*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-105)\/6)\/(-7))\/(174\/(-1392))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + 16\/(-6))*15. Let k(h) = -2*h + 4. Let g be k(n). Calculate the common denominator of (g\/8)\/((-21)\/245) and -4\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 = 2662\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*v + v - 5*p, -2 = -3*v - 2*p. Solve -3*c + 3*q - v*q = 6, 0 = -5*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 11. Let t(c) = -c - 6. Let r be 16 - 0 - (1 - 0). Suppose 5*g - 10 = r. Calculate g*t(f) + 3*l(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -242, -473, -704, -935?\n\"Answer: -231*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 96 (b) -0.2 (c) 49 (d) 0.4 (e) -1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2. Let c(j) = -222622*j**2. Determine c(y(t)).\nAnswer: -2003598*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2555.1 - 2554.39173. Let z = 0.701 - n. Round z to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/(-6) - (0 - 2))\/2. Suppose 4*r - 17 - 87 = f. Let p(a) = a**2 - a + 3. Calculate the remainder when r is divided by p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3\/3 + 2*r**2 - 8*r - 3. Let u be g(-6). Which is the biggest value? (a) -4 (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2872224 and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, -34, -8, 28, 74, 130, 196?\n\"Answer: 5*n**2 + n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 y when three letters picked without replacement from {a: 2, y: 1, x: 1, q: 4}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(2) + sqrt(32) + (sqrt(96)\/sqrt(8))\/sqrt(6).\nAnswer: 4 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q - 1. Let k be h(1). Suppose -4 = k*o - 36. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92511 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 6*q + 244. Let v = 66 + q. Put v, -1, -2, -5 in decreasing order.\nAnswer: v, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 - -19021234.455446\nAnswer: 19021234.445446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 57\/2 of a week?\nAnswer: 4788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12957.\nAnswer: 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64 or 95?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + sqrt(320) + 0)*-5 + sqrt(5)*2 + 0 + ((sqrt(5) + -1)*5)**2 + -3.\nAnswer: -128*sqrt(5) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r. Let u(o) = o**3 - 8*o**2 + 8*o - 1. Let q be u(7). Let k be ((-2)\/q)\/(1\/(-6)). Let p(x) = 0*x**2 + 7*x**k - 5*x**2. Determine p(m(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(sqrt(153) + sqrt(153) + 0)*-6)**2 - (sqrt(136)*1*-6 + sqrt(136) + sqrt(136))\/(sqrt(392)*-2 + sqrt(392) - sqrt(8)).\nAnswer: -sqrt(17)\/2 + 3172608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77 - 29 - 41 + 26*z**3 + (z**2 + 2*z**3 - z**2)*(2 - 3 + 3) to i + a*z**3 + f*z + m*z**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 6 = b, 4*b + 394*g + 17 = 397*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -33*u**6 + 524*u**2 + 144. Find the second derivative of k(a) wrt a.\nAnswer: -3960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1564 = 149*o + 372. Factor -4*l**2 + 1\/2*l**3 + o*l + 0.\nAnswer: l*(l - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + v**4 + 0*v**4)*(-6 + 1 - 9)*(2 + 2 - 2).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 smaller than 12\/667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 0, 4*q - 32 = -3*o + 12. Suppose o*w - 106 = 62. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, z: 1, c: 5, v: 7}. What is prob of sequence vcv?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 23 = -y, y = 4*y + 5*f - 109. Calculate the remainder when y is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, o: 1, e: 1, t: 1}. What is prob of picking 2 f and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 2 n when four letters picked without replacement from upnppuiuyipnuupypnu?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5 - 2*c**3 - 2*c**3 - 2*c**2 - c**3 + 6*c + 4*c**3. Let i be g(-3). Let v be (3 + (-5)\/3)\/(2\/3). Sort -3, i, v.\nAnswer: i, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5148*m**2 - 8*m - 6. Let o(c) = c**3 - 9*c**2 - 8*c - 21. Let k be o(10). Let q be w(k). Round q to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 14 = -m - 2*m, -r + 5*m + 21 = 0. Suppose -4*y - 19 = r. Which is the nearest to 2\/5? (a) 3 (b) -2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - -163. Let v = c - 351.4. What is the third biggest value in v, -6, -0.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 659554 = 19*t + 253410. What is the ten thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d - 4*d - 4*d)*(2 + 207*d + 1 + 1 - 164*d) to r*d**2 + b + i*d and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -876963 (base 11) to base 4\nAnswer: -11111303213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21649824 and 1568?\nAnswer: 151548768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**3\/6 + 19*h**2\/4 - 3055. Solve x(y) = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in 1\/2, -337, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 8*y - 3. Let m(a) = -2*a**2 - 15*a - 6. Let u(b) = -3*m(b) + 5*z(b). Let l be ((-3)\/3)\/((-1)\/(-3)). Calculate u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let w(m) = -m**3 + 20*m**2 + 19*m + 43. Let z be w(21). Let u be (34\/(-35) - 12\/(-21)) + z. Sort -3, u, -0.1, s in decreasing order.\nAnswer: u, -0.1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*d - 34, 2*d + d + 4*j + 27 = 0. Suppose -435 = 15*s - 20*s. Suppose s = -4*r + 15. Put d, r, -4 in decreasing order.\nAnswer: -4, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26476 + -7?\nAnswer: 2646c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-499*p + 5*p**3 + 499*p)*(-1 + 2*p + 1 + (6 - 6 + 5)*(0*p + p - 3*p) - 5 + 2*p + 5).\nAnswer: -30*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58787*h**5 + 3*h**2 - 1071*h + 295.\nAnswer: -1175740*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/6)*v*v*(v**(-3)\/v)\/v*v)\/(v**(1\/3)*v)**(-48))**(-46) assuming v is positive.\nAnswer: v**(-8671\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10139, -0.1, 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6305705 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8764 plus 0.24?\nAnswer: -8763.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4814049 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: Let w = 13 - 12. Solve 4 = g + w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - x - 3*x - 46, 2*k - 4 = -2*x. Suppose w - 2*f = 9, 8*f = -w + k*f + 1. Solve 0 = -w*o + 8*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 910 is divided by 227.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 119226 - 119224. Let q = 1 - 0. Let g = 1 + 0. What is the closest to g in a, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) - 20\/(-6). Suppose -f = -4 + 3. Suppose 3*z + 4*h - 5 = 0, 2*h - h + f = 0. Solve 3*a = -a - v*k + 12, -a + 1 = z*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -4, 11, 0, -2 in decreasing order.\nAnswer: 16, 11, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2*o**3\/3 + 47*o + 140. Let y(d) = 2*d. Give y(z(x)).\nAnswer: -4*x**2 + 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7680\/600 + (-8)\/10 + 1. Suppose d*u - 86061 = -10739. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58081\/3 - 19361. What is the third biggest value in h, -1\/95, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98269409.\nAnswer: 7, 23, 467, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213552.\nAnswer: 2, 3, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 - 26*a**2 + 31237*a. Let r(j) = -j**3 - 4*j**2 + 5206*j. Determine -2*i(d) + 13*r(d).\nAnswer: -d**3 + 5204*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + b + 4. Let g(q) = 3*q - 9 + 6*q - 4*q. Let k(n) = -14*n + 26. Let x(j) = -11*g(j) - 4*k(j). Give x(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9435747 and 34597739?\nAnswer: 103793217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-12) + 9\/2. Suppose -2 = -3*v + t. Solve 2 + 0 = v*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64473.44ml?\nAnswer: 64.47344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/10 and -17\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 3*k**3 - 7*k**3)*(2276 - 207 + 1225 - 457) + (-3*k + 2*k - k)*(4*k**2 - 4*k**2 + 2*k**2).\nAnswer: -14189*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:05 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 19*v**2 - 19*v + 45. Let o be i(-20). Differentiate 8*a - 56 - 8*a - o*a**3 + 5 wrt a.\nAnswer: -75*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 3*l + 4*q + 4, -2*q = -5*l + 26. Let f = -3 + l. Suppose 0 = 4*b - 5 + f. Which is bigger: b or -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*a = f - 99, 2*f - 4*a - 66 = 0. Suppose -2*m = -4*x - 0 - 2, -3*x - f = 2*m. Let h(k) = -9*k + 28. List the prime factors of h(m).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17787627 is divided by 100.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 5*i. Let r be w(3). Solve 4*s + r = 10*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 848166026?\nAnswer: 2, 424083013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*b - 948 + 1562 - 2854 = 1712 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.904 - 0.1055342744\nAnswer: 0.7984657256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*g - 2240 = 0. Suppose 0 = 3*m - 4*x + g, x = 3*m + m + 418. Let d = m - -240. Does 15 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 4. Give i(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5338874.719 and 3280.\nAnswer: -5335594.719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z + 15. Let x(u) = -u**3 - 3. Let f = 10 + -10. Let l be x(f). Let y be m(l). What is y rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from urujuuuuuruj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 504 - 504.00006288. What is z rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, l: 4, n: 6}. What is prob of picking 4 n?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2 - -1) - -3. Suppose 0 = -m + 5*l + 7, -5*m + 0*m - o*l + 7 = 0. What is the second derivative of 6*z**4 - 2*z + 2 - m - 4*z**4 wrt z?\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 8*o**2 + o - 2. Is s(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118.417579 + -0.342079. Let g = -119.57 + 1.57. Let d = g + o. Round d to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37797)\/25198)\/(((-24)\/(-14))\/(-2)*-7)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*q + 4*r, -q + 3*r = 3*q - 27 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**4\/12 - 4*y. Let x(z) = 6*z - 2 - 5*z + 2. What is x(v(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143716, -287301, -430762, -574099, -717312, -860401, -1003366?\n\"Answer: 62*w**2 - 143771*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n**2 + n**2 - 6*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 5*x**2 - 3*x + 7. Let g(v) = v**3 + 7*v**2 - 4*v + 10. What is -7*a(j) + 5*g(j)?\nAnswer: -2*j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*x + 3 = 0, 2*n = x + 33. Let c be 0 + (-1 - -3) + -2. Solve n = 5*i - p, -i + 2*i + p = c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)*i**(2\/5))\/(i**2)**(1\/5) assuming i is positive.\nAnswer: i**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -63. Let s(z) = -73*z - 2. Is s(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - 3 - (-33)\/(-6). Let k = 390 + -390. What is the nearest to k in -3, h, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/1107 and -56\/351.\nAnswer: 14391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 6885774.\nAnswer: 1\/2295258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 7*b - 7. Let f be (3\/6)\/(1\/48). Suppose -4 = 4*v - f. What is the smallest common multiple of 10 and u(v)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 3:35 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 379662366*h*n**4 - 14*h*n + 60*n - 4551 wrt n.\nAnswer: 4555948392*h*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 5*b - 3*b + 3, 0 = b + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b743cca + -8?\nAnswer: b743cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {h: 5, s: 4, m: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*m**3*u - m**3 + 27*m**2*u + 1461*m*u + 40*m + 1 wrt u?\nAnswer: -2*m**3 + 27*m**2 + 1461*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 7. Let s be v(5). Suppose s*a + 24 = -4*i + 74, -5*i + 85 = -2*a. Suppose 7*n - 129 = 4*n. Calculate the remainder when n is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14652 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16223*b**4 - 17843 wrt b.\nAnswer: -64892*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n*o**2 - n*o*v**3 - n*v**3 - 17*o**3*v**2 + 6*v**3 + 7*v wrt o?\nAnswer: 8*n*o - n*v**3 - 51*o**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4323.9 - -4324. Let w = -0.1 + 0.1. Sort z, -24, w, 3 in descending order.\nAnswer: 3, z, w, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64086 is divided by 145.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.5 - -4.43. What is the third biggest value in 0.2, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/10)\/(29\/6). Let o = -47\/174 - y. Let j = 5 - 10. Which is the third smallest value? (a) o (b) -3\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001001111 - 100?\nAnswer: -100001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*u - 25, 3*u - 37 = -5*d + 3. Suppose -d*o + 2592 = -o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5\/8*h + 1\/8*h**3 + 25\/4 - h**2 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -4*l - 3. Let v be t(-8). Suppose 2*z - 49 = v. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -601 - 201281?\nAnswer: -201882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 1) + -2 + 1. Let c(o) = -o**3 + 4*o - 1. Let k be c(-2). List the prime factors of (-3 + -202)*k + p.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158607\/522665 - 56\/2795. Find the common denominator of 39\/170 and r.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15986877 is divided by 336.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 211*w**2 + 13*w + 14. Is s(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**8\/672 + b**7\/210 - b**6\/240 - 19*b**2. Determine q so that h(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2) + (-1 - -3). Let v = p - 1. Suppose -4*l + h + 39 = 0, -37 = -v*l - 4*h + h. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4235\/484)\/(14\/16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20730*i**5*m**2 - i**5 - 12*i**2*m**2 - 679*i**2 wrt i?\nAnswer: -1243800*i**2*m**2 - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l + 8. Let v(j) = -121*j - 2 + 59*j + 63*j. Calculate 2*s(d) + 9*v(d).\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, g: 2, v: 1, i: 2}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -22*j**5\/5 - 14*j**3 + 12. What is the third derivative of c(g) wrt g?\nAnswer: -528*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16371755 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (2 + -1 + (-1 - 10 - -18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 580937.\nAnswer: 580937.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2 = -x, 5*b + 21 = 2*x - 0. Suppose 28*y = x*y + 940000. What is y rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d + -1363b2?\nAnswer: -1363e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 75992?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(-3 + 3 + t**2) + 0*t + 0*t + 2*t**2 - 2*t**2 - t**2 - 3*t**2 - 3*t**2 + t**2 + t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -177.95 - -181. Let m = -3.12 + y. What is the nearest to 0 in -4, m, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 2.46, -2\/7, 3\/8?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-3)\/((-3)\/(-245)). Let h = q - -561. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-73650)\/8)\/(((-105)\/(-2960))\/(-7)). Round g to the nearest ten thousand.\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 - 549*m**2 + 657*m + 105216. Give k(-275).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 17. Suppose 5*b = -4*u + 185, -5*b = 5*u - 173 - r. Let l = -23 + b. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2239\/641 or -2\/7?\nAnswer: 2239\/641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 b when three letters picked without replacement from mwrrzbam?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110001101010100010 + 10111011?\nAnswer: 10110001101101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.8461717 rounded to one decimal place?\nAnswer: 136.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -12, -4*f + 4*v = -3*f - 13. Let h be (0\/f)\/(1 - 3). Suppose h = -6*g + g. Is 0 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 k when four letters picked without replacement from lzkkzznllxkzkkzklll?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -71663912 and 1.\nAnswer: -71663911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) - (-1 + sqrt(242))**2) + -2.\nAnswer: -245 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11 = -5*i + 12, 0 = 5*i - 4*m - 33. Suppose 0 = 3*t - 10 - i. Let n be (99\/(-495))\/((-2)\/20). Solve -n*x = -x - t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -36, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 22*u**2 + 20*u + 65. Let i be 1\/(-3) + (-1675)\/(-201) + 30\/2. Calculate q(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 12:14 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*d**3 + 290*d**3 + 594*d**3 - 1193*d**3.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -169, 0.1, 14, -3 in decreasing order.\nAnswer: 14, 1\/5, 0.1, -3, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + 3*j - 43, -3*h + 2*j + 28 = 0. Let k be (-5 + 6\/h)*(-5)\/2. Suppose 5*i + 1 = k. Solve i*c = -1 - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17960359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 16*m**2 + 32*m + 8. Let a(c) = -11*c**2 - 21*c - 5. Let f be 22\/4 + 4\/(-8). Let t(h) = f*o(h) + 8*a(h). Find the second derivative of t(l) wrt l.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 203 = 97. Suppose 13*g - n = 9*g. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.35385 - -3?\nAnswer: -1.35385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16d7 - d1d?\nAnswer: 9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -63*f**2 - 1. Let w(z) be the first derivative of 9*z**2\/2 - 3. Calculate g(w(b)).\nAnswer: -5103*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -85568 divided by -64?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -75. Let x = b - -39. Suppose -12 = -4*p + 2*m, 43 = 4*p + 5*m + x. Solve -p*g - 16 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5*o. Let j(k) = 11*k - 1. Let m = -15 - -18. Let i(p) = m*j(p) - 7*t(p). What is the units digit of i(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-2)*1\/(-225)*5*-10?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/36*-3*4. Suppose 0 = -39*u + 21*u. Sort -3\/5, u, l, 6 in ascending order.\nAnswer: -3\/5, u, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-14)\/(-10))*-5. Suppose -j*g + 384 = -6*g. Find the common denominator of 25\/12 and 8\/g*(-243)\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 3*x**2 - x + 7. Let y(f) = 4*f**3 + 22*f**2 - 18*f - 8. Let h(p) = 3*q(p) - y(p). Determine h(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - (-16 + -37 + 57)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-8\/7)\/(c*c**(-18)))\/(c\/(c*c\/c**26)*c*c**18) assuming c is positive.\nAnswer: c**(-197\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 - 203 = -3*a - h, -4*a = -2*h - 1242. Let t = a - 191. Find the common denominator of 46 and -1 + t\/12 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -487*s**3 - 690*s**2 + 2?\nAnswer: -2922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -581 * 5.\nAnswer: -2905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1638ac (base 13) to base 5.\nAnswer: -120110434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62017 divided by -283?\nAnswer: -62017\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11553, -23170, -34859, -46614, -58429, -70298, -82215, -94174?\nAnswer: -106169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61800105177179775\/157221999946 + 37670686287\/97121. Let s = 19\/73583 - t. Let k = s - 5198. Calculate the common denominator of 23\/22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16038 - -4022. Is k a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -16. Let m = 20 - i. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -26. Let l(f) = 35*f**4 - 30*f**2 - 5*f + 30. Let q(g) = -g**4 + g**2 - 1. Let c(p) = d*q(p) + l(p). What is the second derivative of c(i) wrt i?\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85745422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 6*j**2 - 5*j + 3. Let o be p(5). Let a(r) = -5 + 5 - o*r**2. Let l(q) = 40 - 40 - q. What is a(l(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -81827, -163713, -245597, -327479, -409359, -491237?\n\"Answer: x**2 - 81889*x + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:15 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 - -164. Let l = o + -59. Let q = l + -50.99999958. What is q rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 482314312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 52*d\/7 - 54\/7.\nAnswer: 2*(d - 27)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -11*o**3\/3 + 2*o**2 - 2*o + 7. Give n(2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 10347.\nAnswer: -1034.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720\/(-63) + 12 - 0.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 60 = -4*s + 22, 3*s - 75 = -3*t. Let v(o) = s*o**2 - 43*o**2 + 15*o**2. Let l(i) = -15*i. Calculate v(l(b)).\nAnswer: -1125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301336 is divided by 284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -132 + 200. Let l be -4 + (3 - -1) + -40. Let m = l + i. What is the greatest common factor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**3\/8 + 19497*w**2\/8 + 1219329*w\/4 + 4022865 = 0?\nAnswer: -108, -15, 6622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 387.\nAnswer: 6579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18849202\/(-3) + 4\/12. Let i = -3433067 - g. Suppose -5*a + 0*a - i = 0. Round a to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19518 and 23.\nAnswer: 448914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*u - 11 + 24 - 14.\nAnswer: 388*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((9\/(-27))\/(0 + 1)). Let q(y) = 3*y - 6. Let p be q(d). Suppose p = 4*u - 7*u. Which is smaller: 2\/21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t - 1. Give z(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 17*a - 42. Let t be z(4). Calculate the highest common factor of t and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 4*h + 3. Let f be x(-3). Let b be f\/1*(-36)\/6. Suppose -b*y = -21*y + 8583. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37790, 75577, 113356, 151127, 188890, 226645, 264392?\n\"Answer: -4*i**2 + 37799*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -302973*6.32.\nAnswer: -1914789.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115 + 49. Suppose -5*u + 44 = g. What is the common denominator of -149\/6 and (-2)\/(-3) + 175\/u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 48*m. Let t be k(3). Suppose 2*h + 4*d - 36 = 0, 5*d + 37 + 17 = 3*h. Calculate the greatest common factor of h and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 117936 = 21*r. Suppose r = 20*i - 3268. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/480*-46 - 134\/(-201).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.699 or -31.7?\nAnswer: 0.699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 4*n = -71 + 219, -113 = -3*w + 5*n. Calculate the remainder when w is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 2:51 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72646249\/7 or 10378037?\nAnswer: 72646249\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(440)\/(2*sqrt(10)) + 3.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8075663l in millilitres?\nAnswer: 807.5663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 330*h - 7. Is n(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1389 is divided by 1382.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122433 is divided by 220.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 872712163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 3713658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 64\/(-2 + 3) + -1. Let f = 134 + 3. Suppose 73 + f = 5*j. What is the highest common factor of j and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361246 divided by -1?\nAnswer: -3361246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -x**2 - 5\/6*x**6 + 0*x**3 + 0*x + 0*x**5 + 0*x**4 - 4. What is the second derivative of h(b) wrt b?\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 2*d**2 + d**2)*((0 - 4 + 3)*(5 - 2 - 4) + 3 + 1 - 3)*(-10*d - 4*d - 2*d).\nAnswer: -96*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i. Let u(n) = 6*n**2 + 4*n. Let l(g) = -17*g**2 - 11*g. Let v(r) = -4*l(r) - 11*u(r). Calculate h(v(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 15 - 202*v - 29 - 25 + 7*v. What are the prime factors of h(-8)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-64))\/1*(3 - -1). Let u = -6 + 4. Put l, u, -0.01 in ascending order.\nAnswer: u, -0.01, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let m = 0 + i. Which is the biggest value? (a) m (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iio when three letters picked without replacement from {e: 4, o: 5, i: 5}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from rrrgrbrggbrrb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*w + 16. Let s(p) = 14*p + 108. Let b be s(-6). Suppose w = b*z - 22*z. Solve z = -3*k - 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2577)\/17180*(-5 + 1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f\/(f\/f**3)))\/(f**(-2\/3)\/f*f))**(-4\/27))**(-3\/14) assuming f is positive.\nAnswer: f**(-2\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78844?\nAnswer: 2, 23, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 17*b - 8. Let q be 51\/17*(-3 - 10\/(-3)). Determine u(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -1134?\nAnswer: -1137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1010155?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y + y + (-1 + 0 - 1)*(-2*y - y + 5*y) - 4*y + 3 - 2 + 2*y)*(-3*y**2 + 3*y**2 - 4*y**3).\nAnswer: 12*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - 1. Let d be o(-2). Suppose 2*h - 2*a - 66 = 0, 4*h - 3*a - 66 = 2*h. Let r = h - d. What is r rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -8\/2763 (b) -2\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 9 = 3*f, -2*f = z - 21. Suppose -6*d + 48 = -2*d. Suppose n - 4 = -3*n + 4*j, 0 = -4*n - 4*j + d. Solve 0*r = -2*r - n*a, 2*r + z = 3*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1656 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**2 - 2*i**2 + 0*i**2 + (5*i - 3*i - 4*i)*(5*i - 6*i + 5*i) - i**2 - 2*i**2 + i**2 - 8 - 2*i**2 + 8 to the form h*i + b + n*i**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = 18815 - 26246 - 26177. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/7 + 16\/56)\/(-2). Let q be (d + -1)\/(2\/(-2)). Let g be 90 - (1 + q + (0 - 1)). Calculate the highest common factor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93.4 + 14.4. Let u = -75502 - -75422.959. Let p = u - s. What is p rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 19\/6*a**3 - 2*a + 20 + 1\/2*a**2. Let y(c) = -3*c. Give y(g(p)).\nAnswer: -57*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**2\/7 - 24723*v\/7 + 1399464\/7 = 0.\nAnswer: 57, 8184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9914 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 196, 357, 436, 391, 180, -239, -908?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*m - 4*s, 5*s - s = -8. Let c be -1*(-2 - m) + 0. Suppose 28 + 38 = c*k. What is the least common multiple of 4 and k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18742 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027 - 0.981.\nAnswer: -1.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/10 and -123\/3370?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 11*n - 57. Let a be s(-15). Let q(o) be the first derivative of 0*o + 0*o**2 + 1\/3*o**a + 1. Let c(r) = 2*r. Determine q(c(p)).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*p - 94*p + 219*p = 352*p + 37989 for p.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) + (4 - 80\/36). What is the third derivative of -17*p**t + 51*p**5 - 33*p**2 - 11*p**5 wrt p?\nAnswer: 2400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 785, 142, 0.\nAnswer: 0, 142, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 11 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/36 and -68\/81.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11160, -11031, -10692, -10041, -8976, -7395, -5196, -2277?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87216000 rounded to the nearest one million?\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {b: 2, u: 4, k: 2, i: 3, m: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - k - 1 + 2, 2*k = 5*j. Suppose 5*d - 4*d - n + 1 = 0, j*d = 5*n - 14. Calculate the least common multiple of 8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (121\/17666)\/(3\/18). What is the fourth biggest value in 2\/3, -1\/4, -2, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.131383 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, and 1 p when three letters picked without replacement from uhjpppummupw.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 2*l**3 - 2*l**3)*(0*l + 0*l + 2*l) + 5 - 5 - l**4 - 107*l**4 + 34*l**4 - 340*l**4.\nAnswer: -416*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19826 or -1328429\/67?\nAnswer: -19826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4420 less than 54?\nAnswer: -4366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 4:45 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1790 and -117\/950720?\nAnswer: 170178880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 6. Let b = 11 - p. What is the second smallest value in b, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**3 + 19*d**2 - 1146*d + 5639. What is k(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:26 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 9) in base 14?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25.08 + -25.18. Which is the closest to j? (a) 1 (b) 0 (c) -1\/8 (d) -21\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*2)\/((-17)\/(85\/10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*q*x**3 - 2*q*x - 4*q - x**3 + 35*x**2 + 51 wrt q?\nAnswer: -79*x**3 - 2*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-8))\/((-1113875)\/13300)\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 806508.\nAnswer: -5\/403254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 85 = 2*g, 0 = 2*m - 2*g + 4*g - 28. What is the remainder when m is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -14. Differentiate -3*q - 4 + 5*q**3 + v*q - 2 wrt q.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 7\/6 (b) -0.115 (c) -0.3 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 times -9084\nAnswer: 190764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 62*k**3 + 4*k**2 - 3*k - 1. Let t be o(1). Suppose 15 = 65*z - t*z. Calculate the greatest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -7 - (0 - 0). Let a(j) = j + 6. Suppose 7*n - 2*n = 110. Calculate the remainder when n is divided by a(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10966 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -65190?\nAnswer: 1\/21730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 - 6*j - 12. Let o(h) = h**2 + h + 1. Give a(q) + 6*o(q).\nAnswer: 4*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*t + 28 = -2 - 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 32 = 4*p, 5*p - s = 54 - 14. Suppose 5*o - 25 = 0, -2*n = o - p + 1. Suppose -5*w + 124 + n = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 16. Let g(p) = -8*p + 46. Let j(f) = 4*g(f) + 11*w(f). Calculate j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16343573891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l + 3. Let z be n(-3). Let p be (-4468)\/z - (-8)\/(-6) - 3. Suppose -10*f = -p + 78. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 - 6*g**2 + 4*g - 2. Let m(q) = -q**2. Let v be (8\/18)\/(38\/513). Determine v*m(p) - u(p).\nAnswer: 3*p**3 - 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**3 + 60*c**2 - 20. Calculate u(-20).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -6.9.\nAnswer: 34.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2\/9 + 2\/9*a**2 + 0*a = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -281 - -278. Let t(f) = -21*f**3 + 3*f**2 + f + 1. What is the hundreds digit of t(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -681 - -1449\/2. Let c be 6*-1*(-35)\/42. Suppose 23 = c*j + 138. Calculate the common denominator of j and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 + o - 1. Let f(x) = -2*x + 10*x + 0*x**2 + 3*x + 4*x**2. Let a(r) = -f(r) + 5*t(r). Is a(8) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25100 + 10?\nAnswer: 25110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -355 - -354.8. Let f be (2\/6)\/(5\/6). Let r be (8\/12)\/(4\/2). Which is the smallest value? (a) t (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcsg when four letters picked without replacement from {q: 3, g: 6, z: 3, s: 4, c: 1, f: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*w + 3*h, 11 = -4*w - 1053268*h + 1053269*h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -59, -23822, 0.1, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 6. Let j(m) = m**2 - m - 1. Let l(i) = -6*j(i) + 3*t(i). Factor l(d).\nAnswer: -3*(d - 4)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 9 = 0. Let s = 14 - w. Suppose -4*z + 19 = g, 2*z + 19 = 3*z + s*g. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1514142 + -87.\nAnswer: -1514229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 7:07 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k + 2*k)*(0 - 1 - 1)*(21 - 22 - 53).\nAnswer: -108*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 446550 and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1 - -3) + (0 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.29 * 8\nAnswer: -2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 36449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(196) - (sqrt(4) - (sqrt(48)\/sqrt(4))\/sqrt(3)))\/(sqrt(20)\/((sqrt(100)*1)\/sqrt(10))).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 82881 = -d, -7*j + 4*j + 49719 = -3*d. List the prime factors of j.\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/154)\/(84064\/(-36778))?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwglgrrlll. Give prob of sequence llw.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189845\/6 + -31732. Let t = -91 - i. Factor 0*v - t*v**2 + 1\/6.\nAnswer: -(v - 1)*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazbax. Give prob of picking 1 a, 1 x, and 2 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 4436162 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 2*h = 2*u + 2, 0 = -4*u + 4*h - 4. Solve 0 = -u*v + v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 1 (c) -3677\/2 (d) -2.25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*p**5 + 3*p**2 + 4*p + 27 wrt p.\nAnswer: -60*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u + 98. Calculate the common denominator of -91\/4 and 2\/4 + (-141)\/u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-8) - -2)*12. Is i\/28*1\/(-3)*-1426 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i + 4. Suppose 0 = 6*w - 5*w - i. Let g = -3 + 2.6. Put 0.4, w, g in ascending order.\nAnswer: g, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfheyefmyvvvhff. What is prob of sequence hh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*p - 118, 5*u = -3*p + 4*p - 16. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 368334601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5308670 to the nearest ten thousand.\nAnswer: 5310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184 + (18 - 95) + -69?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 95466.89 decades in centuries?\nAnswer: 9546.689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 131\/4 - 11183\/340. Let s = a + -839\/680. Calculate the common denominator of 7\/48 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 2. Suppose 0*k - k = 0. What is the lowest common multiple of 10*(2 + i + k) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*c + 5. Let a be 3 + -1 + 0\/(-3). What is the highest common divisor of a and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i - 33. Let m be u(-5). Suppose 8\/3 - 56\/3*x + 98\/3*x**m = 0. Calculate x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15898 = 143*q - 24907 for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 431*a**3 - 862*a**3 + 425*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsnnxsgkwxggwxx. Give prob of picking 2 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/68 + 249\/748. Let b = -68 + 208\/3. What is the biggest value in b, 5, p, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9228 + -2790. What is the greatest common divisor of 87 and d?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from rmrrmr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22838363*d**3 + 3*d**2 + 22838419*d**3 + 10*d - 3*d**2.\nAnswer: 56*d**3 + 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 99*x**2 - 146037*x + 17697. Calculate v(1475).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -4, -38, -23 in descending order.\nAnswer: -3, -4, -5, -23, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m - 8. Let f(w) = -6*w - 23. What is -11*b(a) + 4*f(a)?\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 23*q**2 - 43*q + 23. Let d be s(21). What is the third derivative of -3*t**6 + 34*t**6 - 76*t**2 + 18*t**d - 215*t**6 wrt t?\nAnswer: -22080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20 and 18\/1*30\/2680.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 27 - 22 + 154*z to the form w*z + u and give w.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 247 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = 0, 2*h = 2*d + 2*d - 22. Is (-393)\/h - 12\/(-30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*(-465)\/(-825) + (-2)\/(-22)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.4. What is the nearest to 0 in 4, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13102 + 13099. Which is the second smallest value? (a) -0.1 (b) 5 (c) j (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75.65 - -1.35. Let w = 33 - c. Let x = w + 44.3. What is the nearest to -1 in -0.5, x, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + (2 - (-1)\/(-1)). Let w(f) = -5*f - 8*f - a*f - 2*f. Let s(q) = -3*q**2. Determine w(s(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwzziizmmiiwiqmizhq. What is prob of picking 2 q and 2 i?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-4 - -11) + (1 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*x = 187*x - 23331 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*v = i - 18, 0 = -2*i + 3*v - 3. Let f be 2 + 0*(4 - 5). Solve -f*m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 107*j - 56. Suppose 0 = -3*i + 2*i + 2*v + 7, v = -1. Is c(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q + 1. Let p be f(-3). Let i(a) = -a**2 - 20*a + 15 + 21*a - 10*a. What is the remainder when 112 is divided by i(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58*10033296.\nAnswer: 581931168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 626 is divided by 115.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21115*k**2 + 5*k**5 - 7440*k + 1000*k**4 + 7435*k**3 - 2688*k**4 + 21780 + 1023*k**4 = 0.\nAnswer: -1, 1, 6, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuvv when four letters picked without replacement from kfkkvukkv.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - -90. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 83. Suppose 0 = -2*f - 3*h + 20, 3*f + 932 - 964 = -4*h. Determine o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -26\/3. Which is the third smallest value? (a) -1\/3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12) - 24\/72) + (-2)\/(-3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10543 + d + 627 - 1755 - 484.\nAnswer: d - 12155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 2. Let f(d) = -12 + d + 3*d + 3. Let j(w) = -2*f(w) - 9*q(w). Let p(r) = r. Calculate p(j(g)).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3303733.\nAnswer: 43, 76831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, e: 6, d: 3, g: 2, s: 2}. Give prob of picking 1 s and 1 z.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3268 and 89053?\nAnswer: 356212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(1584) + 2 + -6*-3*(1 + sqrt(1584))**2.\nAnswer: 444*sqrt(11) + 28528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(153)*-3 - ((-1*sqrt(17) - sqrt(17)) + 4))**2 + (4*(sqrt(85) - -1*sqrt(85) - sqrt(85) - sqrt(85)))\/sqrt(5)).\nAnswer: 112*sqrt(17) + 1698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/(((-9503)\/(-51))\/(-13)).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + 2*r - 2*r)*(r**2 + 2*r**2 + r**2) - 3*r**2 + 3*r**2 - 3*r**3)*(12*r - 9*r - 5*r).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30144, 29382, 28620, 27858, 27096, 26334?\nAnswer: 25572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3216\/(6\/1 - ((-4683)\/(-315) - 9)). Round i to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5112, -4, 13?\nAnswer: -5112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 1 - 2*y**3 + 5\/2*y + y**2 - 2*y**4 - 1\/2*y**5 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 4 = 4*y + 3*m, 5*y + 3*m - 22 = 0. Find the third derivative of 16*u**y + 12*u + 5*u**3 - 13*u**2 + 14*u - 3*u**3 wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -65, -141, -253, -407, -609, -865, -1181?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 33, -5, 0 in decreasing order.\nAnswer: 33, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -310.7 + 310. Let r = 1\/159 - 4663\/8268. Let c = 4\/13 + r. Is c bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 3, i: 1, h: 6, y: 6}. Give prob of picking 2 h and 1 u.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + v**2 + 3*v + (0*v - 4*v + 5*v)*(2*v - 3*v - 9*v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mg when two letters picked without replacement from ggngguqnmmqgummgn?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16979638 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 x, and 1 z when four letters picked without replacement from szxxxxxzxsxsz.\nAnswer: 189\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1465450 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 5*x - 2 - 28, -4*c - 5*x = 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (2 + -1))\/(-2). Let s(y) = 26*y - 3. Let g be s(5). Suppose 0 = -2*o + k + g. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138866 divided by 1417.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19504 - -19508. Solve 3*r = -4*w - 20, 5*w + 14 = -k*r - 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -db8 - 4c?\nAnswer: -e04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 61*x - 894. Calculate l(73).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 + 10*p + 8. Let t(n) = 2*n**2 - 3*n - 3. Determine 3*f(h) + 10*t(h).\nAnswer: 2*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/9 of a week in minutes?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (sqrt(243) + sqrt(243) + -1 + sqrt(243) + -3 - sqrt(243))*6)**2.\nAnswer: -5616*sqrt(3) + 35672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/3 or -467\/3?\nAnswer: -467\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**4 + 88*q**3 + 8*q**2 + 3*q + 274?\nAnswer: -48*q + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 + h. Let j be l(-1). Let d be 1400\/18 + 2\/j. Suppose 0 = -4*t - 10 + d. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, -218068 in decreasing order.\nAnswer: 18, -5, -218068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11709*y**3 + 44927 with respect to y.\nAnswer: 35127*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31220 + -3?\nAnswer: 31211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-5)\/2 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzkeeehe. What is prob of picking 1 z, 1 j, 1 h, and 1 e?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 a when four letters picked without replacement from {e: 1, a: 3, g: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/5 + 937*o**2\/5 + 10186*o\/5.\nAnswer: o*(o + 11)*(o + 926)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 428 and -10.\nAnswer: -4280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 29 - 49 - 3*d + 2*d**3 + 4*d + 2*d**4 + 93 - 3*d**2 in the form s*d**3 + o + v*d + c*d**4 + u*d**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1700)*-4)**2 + sqrt(1700)) + -2 + (sqrt(17) - (sqrt(136)\/(sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8)) + sqrt(17))).\nAnswer: -163202 - 181*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104 and 4004.\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwuxwnxxzzxoxwz. What is prob of picking 1 o and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 1, l: 1}. What is prob of sequence ml?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/14)\/(1\/7). Let y(c) be the third derivative of c**4\/8 + c**3\/6 + 2*c**2. Is y(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + 21. Let w(k) = -3*k**3 + 26*k**2 + 10*k - 197. What is the remainder when d is divided by w(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 - 95 = 5*a - 5*x, 2*a - 51*x - 51*x - 258 = -3*a for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/9078240 and 23\/6200.\nAnswer: 1407127200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/10*((-184)\/(-12) - 7). Solve s + 7 = b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + 72*f + 201. Let r(x) = -9*x**2 - 143*x - 397. Let n(i) = -3*r(i) - 7*u(i). Give n(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -22*s**2 - 11*s + 6. Let z(f) = -f**2 + 1. Let x(k) = -b(k) + 6*z(k). Let a(h) = -24*h + 16*h + 10*h + 2*h**2 + h**2. Determine 22*a(p) - 4*x(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/23835 and -83\/33285.\nAnswer: 7555695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4371 and 81921.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**8*h*h*h*h**7)**(-1\/45) assuming h is positive.\nAnswer: h**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105683331007 and -2572.\nAnswer: 105683328435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104860693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 772508835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 111337 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 67213*-37\nAnswer: -2486881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m. Let u(z) be the third derivative of 2*z**5\/15 - 25*z**2. Give u(b(t)).\nAnswer: 800*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 26973708, 26973711, 26973714, 26973717, 26973720?\n\"Answer: 3*b + 26973705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 15. Let o be (64\/(-18))\/(-2) + 6\/27. Suppose 30 = o*a - 5*i - 46, -5*a + 5*i + 160 = 0. What is the smallest common multiple of a and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45733 is divided by 4564.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -7300.\nAnswer: -1\/3650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.12 - 1. Let h = -0.33 + g. What is h rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, i: 1, u: 1, w: 1}. Give prob of picking 4 e.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2*b - 5 = -4*o, -5*b = 4*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2264 + 71811?\nAnswer: 74175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2895 - 839. Let k = -1300 + u. Does 54 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 15*i**2 + 5*i - 6. What is the least common multiple of z(-8) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0 = 38. Let f be (3 - d)\/((-3)\/12). Suppose 17 = 3*k - f. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -386, -30, -3 in decreasing order.\nAnswer: 4, 2, -3, -30, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/50 of a second?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94466 and 1049904?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 0. Let k(s) be the second derivative of 0 - 1\/12*s**4 + 1\/10*s**5 + 0*s**2 - 2*s + l*s**3. What is the third derivative of k(o) wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5 and 92\/28 - 3 - 2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -70\nAnswer: 19\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -23.43123.\nAnswer: 35.146845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.30071333 rounded to three decimal places?\nAnswer: -1.301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooiioooiooiiicooci?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/(((-602)\/84)\/43*64\/(-64))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -722, -651, -572, -485, -390, -287?\n\"Answer: 4*j**2 + 59*j - 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (3 - (0 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**3 - 7*b**2 + 10*b - 7. Let n(x) = -10*x**3 + 11*x**2 - 14*x + 11. Let u be 148\/112*-4 - 4\/(-14). Let a(v) = u*n(v) - 7*h(v). What is a(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x\/(x**(-1)\/x*x)))\/(x*x**(1\/2)\/x)**(-3\/13) assuming x is positive.\nAnswer: x**(-23\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 635 and 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -398\/7 + 57. Let z(s) = s**3 - 30*s**2 + 82*s - 28. Let t be z(27). What is the second smallest value in t, -0.01, y, 26?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.047938 tonnes in milligrams?\nAnswer: 9047938000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + d**5 - 2*d**5 + (-1 + 2 - 3)*(2*d**5 + 2*d**4 - 2*d**4) - d**2 + d**2 - 2*d**5 - 5 + 5 + 2*d**5.\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/6830?\nAnswer: -3\/6830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 416 or -2?\nAnswer: 416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -b + 12, 263*o - 264*o + 12 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1481*f + 1107*f + 376*f + 32.\nAnswer: 2*f + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27204.\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmoo when four letters picked without replacement from {o: 3, m: 11}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -487 - -537.12. Let f = -0.12 + o. Let u = -49.9 + f. Do -42 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 295.50573 months?\nAnswer: 0.0246254775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 5534?\nAnswer: -5533.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/(26\/(-252)))\/1 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 246?\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -264.71 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3836267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -616 divided by -8\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-14) + 18\/6\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glggmmggglhlgggmll. What is prob of picking 1 m and 1 g?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/4 and 49\/1173890?\nAnswer: 2347780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 1\/4, 321, 24, 3, 2\/13, -3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332*g + 330*g = -24. Calculate the remainder when 17 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 6 = 0. Solve t*i + 12 = 0, -2*s + 6*s + 3*i + 20 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8154581?\nAnswer: 23, 31, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15, -41, -57, -63, -59, -45?\n\"Answer: 5*c**2 - 41*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.214 + 0.087. Round x to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -48. Let w(f) = 6*f**2 + f + 1. Let m be w(-1). Suppose -2932 = 51*a - 2932. Solve o*k + a = m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 113*n**3 + 456*n**3 + 5 + 229*n**3.\nAnswer: 798*n**3 - 3*n + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 33*y - 562. Let z be x(27). Solve 4*k + 15 = p, -11*p = -2*k - 8*p - z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003186 rounded to seven decimal places?\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 77.22 months?\nAnswer: 0.06435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from iquqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*c - 51 - 89. Solve 0*k - c = 3*k - 2*f, 3*f = 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -10*u + 4. Let s(c) be the first derivative of -9*c**2\/2 + 3*c - 3. Let z(x) = 3*f(x) - 4*s(x). What are the prime factors of z(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1798)\/(-186)*(-2)\/(-4)*-6?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000010000000011 (base 2) to base 6.\nAnswer: 3311135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.37008 and 4757452.\nAnswer: 4757449.62992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9)*1*4).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Let h(x) = -x. Let v be h(5). What is the nearest to -0.1 in v, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 2*i**2 + 2*i**2)*(2 - 2 - 15*i)*(-2*i + 0*i + 4*i).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -672 - -1687. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -561.774 rounded to the nearest 10?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57974448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172 - 4. Let l be 3\/(-2)*n\/(-9). Solve -4*z - l = -8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4455878, -8911755, -13367632, -17823509?\n\"Answer: -4455877*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 2*m**2 - m**2)*(126*m - 268*m + 118*m) - 30*m**3 + 10*m**3 - 5*m**3.\nAnswer: -49*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjx when three letters picked without replacement from {o: 1, x: 2, j: 6, g: 3, b: 2, a: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10 - 8343\/(-12360).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 78 - 90 = 0. Let x = g + -15. Factor -6*v**4 - 2 - 5*v**3 - 7*v + 0*v - x*v**2 + v**4 + 4*v**4.\nAnswer: -(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488011.8 days to seconds.\nAnswer: 42164219520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4, p = -p + 2*d + 368. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 129868, 259764, 389674, 519604, 649560, 779548, 909574, 1039644?\n\"Answer: q**3 + q**2 + 129886*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 4 (b) -5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 26. Solve -7*u + 4 = 2*f - 3*u, -l*u = 2*f - 3 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 12:57 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 - 1150*t + 101 - 210.\nAnswer: -1150*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373466 (base 8) to base 2.\nAnswer: 11111011100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-388)\/485*(-10)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = 8, -4*r = -6*t + 2*t + 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109 by 629.\nAnswer: -109\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:09 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from htjthjhjyhhhhtxyyh.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 36 - 6 = -5*k, 0 = -4*k - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -212111114 + 21?\nAnswer: -212111063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2263306 and -59597.\nAnswer: 2203709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*f**2 + 126*f**2 + 70*f**2.\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10659 is divided by 84.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouuouooooou. What is prob of picking 1 u and 2 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1 (c) -0.37616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*(4*(sqrt(153) + -1) - (sqrt(153) - (sqrt(153) - ((1*sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153))*-5)))*4 + 3)**2.\nAnswer: -24864*sqrt(17) + 1920601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i + 2. Suppose 0 = j + 2*j - 6. Let a(n) = -17*n + 9. Let b(m) = j*a(m) - 9*q(m). Let g(t) = -t - 4*t + 3*t. Determine g(b(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/83 + -427\/166. Which is smaller: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2089220 by -2089220.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 2*l + 1, -u - 3*u + 5*l - 37 = 0. Let y = 10.83 + -1.83. Which is the nearest to -1? (a) y (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -badc - 3?\nAnswer: -bae0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1244 and 42172222?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*j + 24*j + 8*j - j + 0 + 0 + (0*j + 4*j - 3*j)*(5 - 3 + 0) + 0*j - 3*j + 5*j.\nAnswer: 26*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52596750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*b**6 - b**4*u + 103749*b**3*u - 4*b**2*u + 2*b**2 - 125*b*u + 2674*u wrt b?\nAnswer: 4200*b**3 - 24*b*u + 622494*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -49. Let t = 24 - a. Solve -3*l + 5*l + t*j + 2 = 0, 3*l - 8 = j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 26, 51, 96, 167, 270, 411, 596?\n\"Answer: c**3 + c**2 + c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 191617\/128 + -1497. Let w = p - -503\/1152. Let b = 0.3 + -0.5. What is the smallest value in -5, b, w?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 53*n**2 + 3*n + 81*n**3 - 24 + 26*n**2 - 27*n - 103*n**2. Let k(y) = 16*y**3 - 5*y**2 - 5*y - 5. Give 5*c(u) - 24*k(u).\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-22)\/297)\/(6*(-6)\/(-81)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 490\/14 - (0 - 0). Let c = -7 + u. Let z = c + -24. Solve 0*b = 2*b - z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4df + -2?\nAnswer: 4dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*2*sqrt(50) + sqrt(50)) + (sqrt(56)*6)\/(-1*sqrt(28)\/sqrt(4)).\nAnswer: 58*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let m(y) = y + 7. Let t(v) = 2*k(v) - m(v). Let i be t(2). Let x be 4 - (3 + i) - 4100004. Round x to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 176675\/9, 1, -2\/5, -4, 5 in decreasing order.\nAnswer: 176675\/9, 5, 3, 1, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 15*m - 108. Let p(d) = 15*d - 128. Determine -5*h(t) + 4*p(t).\nAnswer: -15*t + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1666970.\nAnswer: 2, 5, 89, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 135? (a) 27\/4 (b) 4\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -286 + 1293*l**2 - 698*l**3 - 387 - 1293*l**2 wrt l.\nAnswer: -2094*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2003*i**3 - i + i**2 - i**2 + 2009*i**3 + 39 in the form c*i**3 + m*i**2 + g*i + q and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**3 + 2*v**2 + 32*v - 34. Let s be x(1). Put -4, s, -5, 23 in ascending order.\nAnswer: -5, -4, s, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 (base 11) in base 9?\nAnswer: 2488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (7 - 22) + -18 + 29.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*p - 1130*p + o + 7 = 0, -2*o = -3994*p + 23978 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/11 (b) -4 (c) -1 (d) 2\/19 (e) 11\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 15. What is p(6)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124\/(-620) + 2672\/10 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 r when four letters picked without replacement from erreeerrrrrre?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1155 + 621. What is the remainder when u\/(-18) - (-2)\/(-3) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -10, -35, -80, -151, -254?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 4*s**7\/21 - s**3 + 3*s. Find the second derivative of g(p) wrt p.\nAnswer: 160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + c + 16 = 5*c, -3*c + 12 = 2*t. Solve t = 3*r + 8 + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**2 - l**2 - 50 + 24 - 2*l + 23 to a*l**2 + t + b*l and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + -27. Determine q, given that 20*q**3 + 3*q**2 + w*q**2 + 12*q**5 - 10*q**2 - 28*q**4 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*u - 8*u - 7*u)*(0*u - 5*u + 4*u + (2 + 0 - 4)*(2*u - 5 + 5) + 2 + 2*u + 0*u - 3) to l*u**2 + p*u + x and give l.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d2d07 + -6?\nAnswer: -d2d0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -805 + 807.85. Let y = r - 1.85. Which is the nearest to 0? (a) y (b) 0.11 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2 + 425*g**2 + 2 - 855*g**2 + 434*g**2. Let q(j) be the third derivative of j**5\/30 - 23*j**3\/6 - 3*j**2. Determine f(q(w)).\nAnswer: 16*w**4 - 368*w**2 + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 7*x**2 - x + 14. Let d be b(7). Let a be (49\/d - 1) + (1 - 3). What is the closest to -0.1 in a, 1, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311, -312, -313?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110110010 - 10?\nAnswer: 10110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 9:27 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - 3*n + 27*n**2 - 32*n**2 in the form l*n**2 + i + g*n and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1021517844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*b**3 + 29*b**3 - 73*b**5 - 4*b**5 + 0*b**5 + 5*b**5 + (2*b - 4*b + b)*(b**4 - 4*b**4 + 5*b**4) + 2*b**2 + b**5 - 4*b**2 + 0*b**5.\nAnswer: -73*b**5 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + o = z - 1, 4*o = -2*z + 8. Suppose -5*q = c - 45, q = -3*c - z*q + 99. Let m = -35 + c. Let x(p) = -2*p. Give x(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**4 + 1 - 1 + (-2*w**3 + 4*w**3 - w**3)*(-1 - 3*w + 1) - 6035 + 6035 + 548*w**4 to the form d*w**2 + a + v*w + r*w**4 + b*w**3 and give r.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/(304\/72))\/(((-6)\/3)\/8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 0*z + 2*z + (2 + 0 - 1)*(5*z - 4*z + z))*(-4 + 4 - 1)*(-z + z - z) to the form w*z + k + r*z**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2526.2 - 1969. Let x = l - 557. What is the closest to -1 in 37, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13387, 1\/3, -605 in descending order.\nAnswer: 13387, 1\/3, -605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 3*n - 72, 4*i - 6*n - 141 = -n. What is the remainder when 84 is divided by i?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 4*a - 1, -4906 + 4900 = -4*a + 2*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/8 - (6\/3)\/(-8))\/((-95)\/760).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 23*t**2 - 75*t + 297. Calculate k(20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v + 6. Let h(g) = 6*g + 3*g - 1 - 8*g. What is -34*h(r) - 6*w(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 58175.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 8*q - 4. Let k be t(-7). Let w be (6\/9)\/((-22)\/k). Sort 3, -5\/4, w in decreasing order.\nAnswer: 3, w, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*v + 7. Suppose 0 = v*y - 3*y. Suppose 5*g - 9 - 1 = 0. Solve y*m - g = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s + 2. Let i(a) = a**3 + 2*a**2 + 2*a - 2. Let c be i(s). Let x = 28 - c. Calculate the lowest common multiple of 6 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6 - 62 = 0. What is the highest common divisor of x and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 1 = 3*h - 6, -p = 1. Suppose h*u + 10 = 31. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2707209142 to the nearest integer?\nAnswer: 1394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -11*c - 48. What is the remainder when 100 is divided by g(-9)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 - d**4\/12 - 10*d**2 + d. Let l(i) = i**2 - 3*i. Let q be 2\/(-7) + 46\/14. What is q*h(b) - 2*l(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t - 4416. Let g(c) = -111*c. What is g(r(w))?\nAnswer: 111*w + 490176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 8*z**2 - 7*z - 2. Let l be i(-7). Sort 5, l, 2.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 25*c + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -7*r**3 - 4*r**2 + 79*r + 335. Let o be u(-4). Let w(n) = -4*n + 7. Let d be w(-6). What is the greatest common factor of d and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**8*q)\/(q\/(q*q**(-10\/7)\/q*q)))\/(q**(-7\/2))**3 assuming q is positive.\nAnswer: q**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 3, 5*x - 832 = o + 63719. Does 38 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 3026544061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5))**(-3\/14)\/(x**(-5\/4)*x**(-11)\/x) assuming x is positive.\nAnswer: x**(1861\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*l**2 - 6*c**3*l - 24*c**2 + 3*c*l**2 - 407*c*l - c + 2*l**2 wrt c?\nAnswer: -12*c*l**2 - 36*c*l - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 18*w + 25 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 4*c**2 + 4*c + 5. What is x(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 30. Let x = 12 + -8. Put 5, x, f in descending order.\nAnswer: 5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42 - -45)\/((-6)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45.5 - 45. Let z = 22\/3 - 97\/12. What is the third biggest value in c, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, l: 8}. Give prob of picking 1 l and 2 d.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9020 divided by 4\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/2 - 3*-15. Let l = 69 - q. Solve 3*y = -5*i - l, -2*y + 16 = -4*i + 2*y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3678.6414 - -3679. What is z rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -1252 - 3452. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*55908.\nAnswer: -614988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 62 + 12?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 - 8 = 0. Is 27 a factor of (-3 + l)\/(1\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 24*v**2 - 45*v - 2. Let u(l) = 3*l**3 - 71*l**2 + 133*l + 3. Let t(x) = 17*h(x) + 6*u(x). What is p in t(p) = 0?\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 + 12?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23272574 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300995.\nAnswer: 5, 37, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.1178023\nAnswer: 0.1178023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 - 5*g**2 - 5*g**3 + 5*g**4 - 441 + 5*g + 0*g**3 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 3*o**2 + 9*o + 8. Let t = 36 + -31. Let q be f(t). Solve -q = p + 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a8 + 41?\nAnswer: 7e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9 + 6*d + 6 - 5*d. Determine y(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280 - 4*q**2 + 0*q**2 - 273 - q**5)*(2 + 6 - 1)*(0 + 3 - 5).\nAnswer: 14*q**5 + 56*q**2 - 98","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 1 + (0 + 3 + 1)*(1 - 2 - 1))*(-3*v**2 + 4*v**2 + 0*v**2) to the form a + f*v + g*v**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -6)*(-94)\/(-141). Let q = -0.07 - 0.13. Let v = -1.2 - q. Which is the nearest to u? (a) -2 (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4137685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*q + 111905 - 101873 = 0 for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 + 4565*t - 1038960 = 0?\nAnswer: 432, 481","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -17*d - 1412. What is j(-83)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lddddddd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -125311 (base 6) to base 15\nAnswer: -365d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*r + 15*r - 4*z + 18, -4*z + 22 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 4.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 315\/378 - 1\/(-6). Let l(m) = -4*m**2 + 4*m - 2. What is l(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/14 + 4\/14. Let v be -7 + 13 - (i - -1). Let c be 3\/(-3) + -4 + v. Solve 1 = c*n - 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - -10) + (-1 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 5. Let u be ((-24)\/8)\/((-9)\/(-21)). What is l(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -5.12. Let u = l + 8. Let s = 1 - u. Which is bigger: s or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-0.003\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-42) + (-1130)\/(-140)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 519*h + 570*h + 69360 + 115992 - 60117 for h.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*i - 5*o - 18, -10 = -i + 4*o. Suppose 0*w = 3*w - 6. Suppose -3*z + 14 - w = 4*s, 0 = 5*z + 4*s - 12. Sort -3, z, i.\nAnswer: -3, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*sqrt(560)*-2*-6)\/((sqrt(245)\/sqrt(63))\/(sqrt(125)*2)))**2.\nAnswer: 124416000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2405 + 2183. What is the highest common factor of 4033 and k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -277*l**3 - 174*l**2 - 6. Let n(s) = 553*s**3 + 346*s**2 + 10. Let a(r) = -5*h(r) - 3*n(r). Find the third derivative of a(d) wrt d.\nAnswer: -1644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33822*z + 33822*z - 2020*z**2 + (2 - 2 + 2*z)*(6*z - 2*z - 5*z) - z**2 + 2*z**2 + 0*z**2 to the form q*z**2 + w + d*z and give q.\nAnswer: -2021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/240 - 71*l**4\/48 - 12*l**3 + 11043*l**2 + l. Factor x(c).\nAnswer: (c - 144)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 256 + 12?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 696 (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 472688688 and 912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(4455))\/(5*sqrt(20)) + 0)**2.\nAnswer: 8019\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 552\/(-138)*(120\/(-200))\/((3*4)\/2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**5 + 1006*k**4 - 164132*k**3 + 7892048*k**2 + 128394560*k + 223891712 = 0.\nAnswer: -11, -2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 90180167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, p: 10, v: 3, n: 2}. What is prob of picking 2 p and 2 v?\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}