diff --git "a/data/dm_maths/full_data_2/11192_11255.jsonl" "b/data/dm_maths/full_data_2/11192_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11192_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 395 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: Three letters picked without replacement from qdddhdh. What is prob of sequence qhh?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*v - 8 = 0. Let b(l) = -2*l**3 + 3 + 4*l**v + 3*l**3 - 5*l + 0. What are the prime factors of b(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 447 - 211 - 206. Let m(o) = -o**3 + 5. Let d be m(0). Solve 0*w = -h*w + d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3012625*m**2*v**3 - 5404*m**2*v - 6*m*v**5 + 271*v wrt v?\nAnswer: 18075750*m**2*v - 120*m*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 969\/(-114)*(66 + -60)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468) + 2*sqrt(468) - (sqrt(468)*-2 + -3))*-3)**2 + -4*(-3 + -2 + -2*sqrt(468)).\nAnswer: 2208*sqrt(13) + 105464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 41921 + 55633 = -89104. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79 - -5567. What is the thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*h - 48 = 0, 0*h = 5*h + 20. Suppose 0*j - j = -2*b + y, -3*b + 15 = 0. Is j equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6205, 11525, 16847, 22171?\n\"Answer: h**2 + 5317*h + 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122704, 122701, 122702, 122707, 122716?\nAnswer: 122729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by -157?\nAnswer: 120\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41? (a) 0.3 (b) 5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/(-2056))\/(84\/(-224)). Is 1 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, 2\/3, -6\/577, 117?\nAnswer: -6\/577","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*k**2*z - 6334*k**2 + 62*z wrt z.\nAnswer: 14*k**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49100?\nAnswer: 2, 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 + 187. Suppose 4*k = 3*a - 80, k - h = -3*a + 6*k. What is the smallest common multiple of 14 and a?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (99 + -74 - -50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -80*p - 308*p - 41*p - 34*p as r + z*p and give z.\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 120\/35 + (114\/(-21) - -5). Let m(r) = -10*r + 9*r**2 + 7 + 0*r - g*r**2 - 4 - 7*r. Let u(j) = -2*j**2 + 6*j - 1. What is 6*m(a) + 17*u(a)?\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*i - i + 106, -4*b - 3*i + 98 = 0. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-3 + (sqrt(76)*-1 - sqrt(76)) - 4*sqrt(76)*-2 - ((sqrt(76) - (4 + (sqrt(76) - sqrt(76)*2))) + sqrt(76))*-4) + 1))**2.\nAnswer: -46656*sqrt(19) + 898128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u. Let x(o) = -7999*o. What is v(x(f))?\nAnswer: 47994*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i - 2*i + 434*i**3 + 2*i + 2*i - 2 + i**2. Let a be m(1). Let b = a + 1202. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrxl. Give prob of picking 1 x and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 - 2 = 0. Suppose -j*t + 0*t = -20. Find the third derivative of t*n**6 - 2*n - 4*n**6 + 4*n**2 + 2*n wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-8)*(-393)\/1310.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1300) + sqrt(1300) + 0 + -2 - (sqrt(117) + (-1*sqrt(117) - sqrt(117))*-4 - sqrt(117))\/((sqrt(45) + sqrt(45) + sqrt(45)*2)\/sqrt(5) - sqrt(9)).\nAnswer: -3 + 52*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t - 5. Let a be (6\/(-8) + 0)\/(1\/(-24)). Suppose 2*n = 5*n - 3*c, -3*n + c = -2. Let h(j) = 3*j + n - j - 4*j + 3*j. Calculate a*h(r) + 4*y(r).\nAnswer: -2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-352)\/(-192)*72\/1386.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166 and 913?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r**(-10\/7)\/r*(r**(-1\/3))**(-13) assuming r is positive.\nAnswer: r**(-107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -9*p**3 + 7*p**2 - 2. Let b(y) be the second derivative of -y**5\/2 + 2*y**4\/3 - y**2 + 135*y. Give -6*a(z) + 5*b(z).\nAnswer: 4*z**3 - 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 5. Let n be (-58)\/14 - 3\/(-21). Determine q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(14)\/sqrt(2) + sqrt(56)\/sqrt(8) + 2 + 0.\nAnswer: -5*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l**2 - 45*l - 36. Let o be i(16). Suppose -o*n + 17*n - 46915 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-17)*((y*y**5*y*y)\/y)\/y assuming y is positive.\nAnswer: y**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 48*p**2 - 8*p - 5. Let t(f) = -32*f**2 + 5*f + 3. What is -5*b(a) - 8*t(a)?\nAnswer: 16*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1552\/(-408))\/(7 - 5). Let z = h - -4\/17. Suppose -4*b = -1 - 11. What is the third biggest value in z, 2, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 6*h - 4*v - 450, -478 = 2*h - 3*v. Is -1871\/8 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*o - 130. Let c = -13 + o. Suppose c - 30 = -x. Solve 0 = -5*q - 5*d + 15, -3*d + 8*d = -4*q + x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 6:37 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 863 divided by 1.\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1251 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14889, 29779, 44669, 59559?\n\"Answer: 14890*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1814 - -1818. Put y, -334, -1, -3 in descending order.\nAnswer: y, -1, -3, -334","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/127 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 14*j - 18. Let x be k(-12). Solve -w = x - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00065033462 to 5 decimal places.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/5)*w**(-1\/4)\/w*((w\/(w\/w**3))\/w)\/w*w\/(w**(4\/5)\/w) assuming w is positive.\nAnswer: w**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -2 + (sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(3)))*3)**2 + 2.\nAnswer: -16*sqrt(5) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*l - 8437 - 9316, 5*l - 22099 = -4*g. Is l not equal to 4430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*n - 122 = 74. Solve 11 = n*v - 38 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42377 (base 10) to base 3\nAnswer: 2011010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1500.3 and -124?\nAnswer: 1376.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146264 is divided by 73127?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 964776515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 463919?\nAnswer: 54278523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**6\/x)*x*x**7)**(6\/17) assuming x is positive.\nAnswer: x**(24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 + 431. Calculate the remainder when a is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.051 and -10?\nAnswer: 10.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8355 >= -8579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23 and -771.47.\nAnswer: -748.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h + 27 = m, 5*h + 2*m = 24. What is the second derivative of 6*d**3 + h*d - 6*d**3 - 3*d**4 wrt d?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648895172 divided by -1?\nAnswer: -648895172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y - 1. Let n be d(-1). Which is the nearest to 2? (a) -1\/3 (b) 0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/32*15800\/(-790))\/(2\/(-12))*2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 566699851388 and -13.3.\nAnswer: 566699851374.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**2\/2 - 3*p - 2. Let t be c(-5). Solve 0 = -t*o + 4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m + 120. Calculate c(17).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 325214 and 18306.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = b + 12, -2*b + 5*c = -4*b + 21. Let d be 3\/6 + (-1)\/b. Sort -1, d, 3 in decreasing order.\nAnswer: 3, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -207*r - 37. Let v be l(-7). Let g = v - 9886\/7. Let m = -0.14 + -10.86. Which is the second smallest value? (a) 0.3 (b) m (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 - r**4\/2 - 3*r**3\/2 + 18*r**2. Let s be i(-11). Let c(f) = -2*f + 3. Give c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -323*x**2 + 138*x + 134. What is w(-1)?\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -12, -26, -56, -108?\n\"Answer: -z**3 + z**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.293 - -12.293. What is the nearest to 5 in j, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 6*w - 13*w. Let h(q) = 3*q. What is k(h(z))?\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -98, -88, -78, -68?\n\"Answer: 10*v - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25964, 52163, 78586, 105233, 132104, 159199, 186518?\n\"Answer: 112*p**2 + 25863*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**5 - 121472*d**4 + 68*d**3 + 2065168*d**2 + 4373072*d + 2429440 = 0?\nAnswer: -30368, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105661*63.\nAnswer: 6656643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188385*g**3 + 376866*g**3 - 188303*g**3.\nAnswer: 178*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40\/3 - 197\/15. Let o(p) = -p**3 - 4*p**2 - 2*p - 9. Let j be o(-4). Which is the closest to j? (a) -1\/7 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 293 + 128 + 298 = 0 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (44 - 16) - 41.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -53155.9642 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 9. What is the closest to -2\/5 in 4, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 29*t - 327. Let p be z(-22). Solve -3*q - 3 = p*u, 0 = -2*u - 11*q + 6*q + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15020 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26831 is divided by 831?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82 - 344 + 1572*u**2 - 1574*u**2 - 8*u to the form i*u + n + v*u**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uzm when three letters picked without replacement from {z: 1, m: 2, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 2:42 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 5*w**2 - 6*w + 4. Suppose -8*s - 2*s + 20 = 0. Suppose 5*z - 6*u = -u, -12 = -2*z - s*u. Let v be o(z). Solve 0 = v*t + 10 - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69320997 divided by 1?\nAnswer: 69320997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**8)\/y)\/y)**(-2\/35)\/(y**(-13))**(2\/7) assuming y is positive.\nAnswer: y**(148\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 + 2*c. Let g(l) = -32*l**2 + 12*l. Let s(k) = 4*g(k) - 24*w(k). Let d(r) = 228*r. Determine d(s(h)).\nAnswer: 3648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 576, 1421, 2924, 5163, 8216, 12161?\n\"Answer: 13*f**3 + 251*f**2 + f + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:51 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721 is divided by 134.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t - 19. Let k be r(8). Calculate the greatest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 813\/(-18970)*(-15)\/9.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 34*a**2 + 5*a + 48. What is t(-17)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*z + 17. Suppose 8*g = 3*g + z. Suppose 0 = -j - 4, -f - 3*j = -1 - 9. What is the greatest common divisor of f and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f + 4*o = -420, 5*o = f - 105. Calculate the remainder when f is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52889 or 52887?\nAnswer: 52887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 72*j - 77*j + 4*o, -32 = -4*j + 2*o for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 m when two letters picked without replacement from paqaqmaaaatpmpmqt?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346612318?\nAnswer: 2, 13, 2399, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-1432)\/5370*(-246)\/8*5\/((-1)\/(-1))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/t**9*t)\/t*t**(4\/5)\/t assuming t is positive.\nAnswer: t**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*g + 99*g + 43*g)*(-3 - 2 + 3) + (-g - 3 + 3)*(0 + 0 + 2).\nAnswer: -232*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 647215*n - 12. Let g(j) = -2*j. Give s(g(k)).\nAnswer: 8*k**2 - 1294430*k - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -6*x + x + 182, 2*x - g - 74 = 0. Find j, given that -147*j**4 - 394*j**3 + 72 + 444*j - x*j**3 - 387*j**3 + 450*j**2 = 0.\nAnswer: -6, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 take away -166928574?\nAnswer: 166928573.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from piiqdadppdqaiiappaa.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(84) - (2*sqrt(84) + sqrt(84) - sqrt(84)))*2*4)\/(sqrt(84)\/(sqrt(21)\/sqrt(3)) + (sqrt(12) - sqrt(108)\/(sqrt(36)\/sqrt(4)))) + -2)**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 96953, -2 in decreasing order.\nAnswer: 96953, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/11 (b) -2 (c) 6\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 89.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 1978 + 1982 - 3*f + f - 3920. Give v(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (679 - 2)*(0 - -2). Suppose 3*k - l = -6*j + j, 0 = -k + 3. What are the prime factors of j?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4331?\nAnswer: 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let v = 2 - -2. Solve 0*p - 3*x = k*p, 2*p - v*x - 12 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -858 or -856?\nAnswer: -856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 553890914 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 5\/((-20)\/16). Solve -f = 3*k - 5, -n = 4*f + 3*k - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221320222120 - 2?\nAnswer: -1221320222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*4\/6*98\/196?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 101.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 6*t - 6. Let o(b) = -b**2 - 18*b + 34. Let d be o(-20). Give w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23586 (base 16) to base 12\nAnswer: 6b946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 1372 = -5*u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40312166 (base 7) in base 9?\nAnswer: 6262252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikrqo. Give prob of picking 1 k, 1 r, and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c + 172*c = -2618 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12043 divided by -6\nAnswer: -12043\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 11. Let p be b(6). Solve -5*c - p = -y, -y - 9 = 3*c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -14 (b) -2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/((-1)\/4). Let s be -1*9*8\/(-48)*-2. Let f be (z - -6)*s\/(-2). What is the highest common divisor of f and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1106 divide 131707924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -11 - 4 - 4*y + 4*y**2 - 3 + 9. Let j be f(-3). Suppose -3*u - 5*k + 37 = 0, 3*u + 3*k - j = -0*u. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.374 in 3.7, 1409, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -567 - -530. Is l > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9382971.66 rounded to the nearest 10000?\nAnswer: -9380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, z: 1, l: 1, j: 1}. What is prob of sequence lv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 12:10 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 36. Let x(u) = -u + 1. Give -t(d) - x(d).\nAnswer: 2*d + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 5 - -6) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.021*-7323.\nAnswer: 153.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 - 11*d + 281. Does 53 divide z(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - -5. Suppose -28 = -4*s + 5*t, 2*s + 4*t = -t + o. Solve 0 = 3*l - s - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhwz when four letters picked without replacement from {u: 3, w: 1, h: 1, i: 2, z: 4, o: 4}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5 + 1)\/(14\/(-70))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 7*r - 11. Determine i(-9).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.96664305 rounded to one dp?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 10:34 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c\/(c*(c\/c**(2\/5))\/c)*c*c)\/c)\/c*(c*((c**(-1\/4)\/c)\/c)\/c*c*c)\/c)\/(c**2\/c*c\/(c*c**5)))\/((c**(2\/7)*c*c)**(-7\/6))**25 assuming c is positive.\nAnswer: c**(4249\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 566371061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1160 (base 10) to base 7\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110, 154, 202, 254, 310, 370?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32761117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 418*u**2 - 702*u**4 - 2457*u - 317*u + 1402*u**4 - 702*u**4 + 111*u**2 wrt u.\nAnswer: -24*u**2 + 1058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*179852.\nAnswer: -71940.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*u + 5, 2*u = -z + 19 - 4. Let q(d) = -158*d - 629. Let n be q(-4). Solve -5 = t - 2*i, -n*i + 25 = -z*t + i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let z = -47992\/3 + 15997. What is the nearest to -1 in f, z, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/7 - (-2249)\/(-247)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2. Let r = 15 + -13. Let p(q) = 28*q**2 - 56*q**2 + 25*q**r. Give p(x(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19, -1, 217149 in decreasing order.\nAnswer: 217149, 19, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 13*m**2 - 218*m + 3062. Calculate a(12).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 10 = -2*p + 3*b, 2 = 4*p + 2*b for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 4:48 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*y + 8. Solve y*f + f - u - 4 = 0, 3*f - 5*u + 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 72?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/22 and 53\/121.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 4*m + 2. Let l be h(2). Suppose -9 = o + 5*f, -12 = 2*o - 5*f + l. What is the smallest common multiple of 2\/o + (-166)\/(-18) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -71*l**3 + 13*l**2 - 5*l + 25. Let b(j) = -130*j**3 + 25*j**2 - 9*j + 48. Let o(r) = -6*b(r) + 11*u(r). Determine o(-8).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 472\/5 + -94. Let f = 0.1 - -47.9. Let z = f + -43. Which is the closest to n? (a) 4 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 1392?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90866 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + -25 + 34 - (-13 + 3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 4*j**2 - j + 5. Let p be m(4). Suppose 5*q - 2 - 8 = 0. Let -x**2 + 5*x**q - 5*x**2 + p = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6402842 divided by -1?\nAnswer: -6402842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135.319 - 0.319. Let f = c + -135.3. Sort -0.1, 3\/7, -2, f.\nAnswer: -2, f, -0.1, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110212 (base 3) to base 10.\nAnswer: -2534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14690 = -503*v - 3125*v - 7850 - 28252 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (115\/(-3))\/((-9)\/(-27)). Let p be (-18)\/(5\/(h\/(-2))). Let o = 373 + p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {a: 6, k: 6, y: 1, g: 7}?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2296, 3060, 3824, 4588, 5352?\n\"Answer: 764*n + 1532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -633 (base 7) to base 16.\nAnswer: -13e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4061923, 8123800, 12185677?\nAnswer: 16247554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 12*m**2 + 25*m - 3. Suppose 3*x - 55 = -22. What is the units digit of v(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cilrhhloiihc. What is prob of sequence clo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -551 + 321. What is the units digit of z\/(-4)*6 - -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 12:53 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -31 and -3.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1552531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2701037417.\nAnswer: 13, 207772109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 - r**2 + 7*r**2 - 4*r**3 - r**3.\nAnswer: r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*z - z - 2*u, -3*z = 4*u - 37. Suppose -z = -3*i - 1. Factor 1\/4 - 1\/4*x**i + 0*x.\nAnswer: -(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:25 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551369 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (123 - 99) - -93.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**3 - g + 1. Let v(c) = -60*c + 241. Let n be v(4). Calculate b(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/3 + 3\/(-9). Let b = v - 0. Suppose b*u = 17 - 2. Solve u = 5*j - 6*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123 - -113. What is the hundreds digit of (-1048)\/(-12)*(-15)\/p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49755851.\nAnswer: 19, 29, 73, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 11:49 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 419*v - 132*v - 122*v - 166*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25655 - -179587\/7. Factor 0 - t*l**4 - 10\/7*l**2 - 8\/7*l**3 - 4\/7*l.\nAnswer: -2*l*(l + 1)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -53*j**2 - 6*j + 5. Let o be w(6). Let z be (o\/28)\/((-1 - -3)\/8). Let t = 410 + z. List the prime factors of t.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40016.116 rounded to the nearest 10?\nAnswer: 40020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 4*k - 4*k)*(0*k - k + 5*k + (-1 - 5 + 4)*(2*k + 0*k + k))*(-9*k + k - 3*k - 2).\nAnswer: 22*k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1556*c**3 + 211*c + 5?\nAnswer: -9336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1833198, 1833200, 1833202?\nAnswer: 1833204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1 (c) -1\/5 (d) 0.01 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 23212002 (base 5) to base 8\nAnswer: 632514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592 is divided by 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -387968 times 275?\nAnswer: -106691200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33.823 - 1090596922\nAnswer: -1090596888.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 97032?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + (sqrt(180)\/sqrt(5))\/sqrt(4))\/(1*sqrt(147)).\nAnswer: 2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3014 = 48*r - 70*r. Let w = r - 137. Factor 3\/2*b + 3\/4*b**4 - 3\/2*b**3 + w*b**2 - 3\/4.\nAnswer: 3*(b - 1)**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11 = -2. Let d be (-6)\/(-6)*v\/1. Suppose -10*a - 132 = -d*a. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*j*q*r - 3*j*q + 4*j*r - 7*j + q*r + r + 1 wrt q?\nAnswer: 24*j*r - 3*j + r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -57\/7 (b) 0.021 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1080\/(-1120) + (-10)\/(-8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 360, 595, 840, 1095, 1360?\nAnswer: 1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7, -23, -115, -299, -605?\n\"Answer: -5*k**3 - k**2 + 8*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2620, -5029, -7240, -9247, -11044, -12625, -13984, -15115?\nAnswer: -16012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 935 = 1220 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5678070 rounded to the nearest 10000?\nAnswer: -5680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/21)\/(4\/14)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 8*o + 11. Let t(s) = -2 - s**2 + 7 + 7 - 9*s - 2. Let p(g) = -5*n(g) + 6*t(g). What is the tens digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(5\/2)\/(((y\/y**(-7)*y)\/y)\/y**(3\/4)) assuming y is positive.\nAnswer: y**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c7a7 - 1502?\nAnswer: b2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*q**3 + 271*d**2*q - 2*d**2 + 734 wrt q.\nAnswer: -6*d**2*q**2 + 271*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595479.33 rounded to the nearest one thousand?\nAnswer: 595000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 9*m + 11. Let h be f(-8). Let v(o) = -2*o**2 + 2 - o + 2 + h*o**2. Does 8 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*y + p + 88, -y - p + 13 = 0. Let m be (-62)\/1*(y + -19). What is the tens digit of m\/7 - (5 - 148\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -143 + 148. Suppose 4*t + t - r = 0. Suppose 0 = k - t, 590 = -3*c + 4*c + k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**3 - 5*r**2 + 4*r + 3. Let o = -21 + -25. Let s = o + 43. List the prime factors of k(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 5263?\nAnswer: 5257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*w - 30 - 64, 0 = -5*w - q + 149. Find the common denominator of 249\/w - -3 - 0 and -31\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 104 = 2*w - 124, -9 - 16 = 5*f - 2*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530059356 to the power of 1\/2, to the nearest integer?\nAnswer: 23023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -17*b - 4. Let t be -3*(0\/(-2) + 1). Let d be j(t). Suppose 2*p = d + 229. What is p rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 20. Let y = -602 + 265. Let j be (-3)\/9 + y\/(-3). Calculate the highest common divisor of j and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4077, -1, 3\/8, 1\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 620 = 2*w + 16*w - 368 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35863380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**4 + 180080*u**3 + 506790132*u**2 + 506655080*u + 126652516.\nAnswer: 4*(u + 5627)**2*(2*u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(3 + sqrt(1216) + 0 + sqrt(1216) + 5 + -4*(0 + sqrt(1216))) + 2)**2.\nAnswer: -896*sqrt(19) + 19652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and 0.132391219734?\nAnswer: 0.967608780266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/5 in 6, 5, -0.003?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -5.02. Let u be (-10)\/3 + 1\/3. Let c = -2339\/85 - -137\/5. Sort j, c, u.\nAnswer: u, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 5*u = -156, 47*i + 45*i = 130*i - 41*i - u + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -27039, 3, 9, 4.\nAnswer: -27039, 2, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z + 108. Let d be h(6). Let x be ((-16)\/(-36))\/(4\/d). Factor 4\/5*m**x + 4\/5 - 8\/5*m.\nAnswer: 4*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3711360 from -269885.4.\nAnswer: -3981245.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 54222 + 8737. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11443\/75 + -3456\/25. Which is bigger: h or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhrnzzenuzhhhuz. Give prob of picking 1 z, 2 h, and 1 n.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34349, -68697, -103045, -137393, -171741, -206089?\nAnswer: -240437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**5 - 13420*m**4 - 148085*m**3 - 377480*m**2 + 484380*m + 1940400 = 0?\nAnswer: -6, -4, -3, 2, 2695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 622.9389 litres?\nAnswer: 622938.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44974 to two dps.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6142, -12247, -18352, -24457, -30562?\n\"Answer: -6105*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0076474997 to 6 dps.\nAnswer: -0.007647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 279519429 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -2*j + 3*w - 39, 0 = j + 4*w - 113. Suppose -23 + 127 = 5*n + 2*c, 5*n + 5*c = 110. What is the remainder when j is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21391456 - 21389029.10008. Let p = h - 2427. Let c = -0.1 - p. Round c to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -15 + 9 + -8 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213 (base 9) to base 16.\nAnswer: ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 + 14*o**2 - 85*o\/6.\nAnswer: o*(o - 1)*(o + 85)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -525.\nAnswer: 2\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2965 * 0.117\nAnswer: -346.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80341893 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 148.7 (b) 4 (c) -0.047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, s: 3}. Give prob of sequence sr.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b**2 - 52*b - 112. Let x be 2\/(-8) - (-8 + (-252)\/(-16)). Let v(m) = -m**2 + m + 2. Let y(q) = x*v(q) - k(q). Factor y(l).\nAnswer: 4*(l + 3)*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*i*p**2 - i*p - 3*i + p**2 + 3*p - 339 wrt p.\nAnswer: 102*i*p - i + 2*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18571 + 18575. What is the remainder when 13762 is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + -0.33. Put 0, 3, q, -4 in decreasing order.\nAnswer: 3, 0, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0191 - -3.5909. Let z = -0.29 - m. What is z rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + 0*k - 5*k)*(-4*k + 2*k + k) - 3*k**2 + 3*k**2 + 9*k**2 to m*k + l*k**2 + r and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = -22 - 8 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 16*r. Let k(t) = -3*t. Determine k(f(a)).\nAnswer: -48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7350)\/140*((-4)\/6)\/(2*1\/(-4))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.4 - 67. Sort a, 6, -1 in descending order.\nAnswer: 6, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(468) + (sqrt(468) - -2*sqrt(468)) + sqrt(468)) + (sqrt(468) - (sqrt(468) + sqrt(468)*1 + 2)))**2 + ((sqrt(468) - sqrt(468)*3)*-1)**2*-4.\nAnswer: -96*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - h**2 - h. Let m(u) = 111*u**3 - 5*u**2 - u + 3. Let q(i) = -m(i) + 5*x(i). What is the hundreds digit of q(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 a when three letters picked without replacement from {l: 13, z: 1, h: 2, a: 3}.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10988 - 2?\nAnswer: -1098a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h - 640 = 121*h. Which is smaller: h or -55\/14?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = 0, 3*j + 7 + 5 = o. Suppose o = 3*y - 9 + 45. Let m be (-2 - y\/4)\/(-1). Sort 0, -3, m in descending order.\nAnswer: 0, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*7\/((-28)\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from {p: 2, o: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 - 27 = 20*f - 192. Calculate the smallest common multiple of f and 75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/20 + (-154)\/(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4. Suppose 3*i - m + 4 = 0. Is i less than or equal to -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16996, 17011, 17048, 17113, 17212, 17351, 17536?\nAnswer: 17773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(1\/3)*n)\/n)\/((n*n**(1\/8)*n)\/n*n)*n**(-6\/5)\/n*n**(-1\/7) assuming n is positive.\nAnswer: n**(-2633\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 6)*((5 - j - 5)*(-2 + 0 + 0) + 210 - 48*j - 210) to the form o + c*j and give c.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -92*w + 92. Let h(y) = 4*y - 4. Let j(x) = -6*b(x) - 136*h(x). Calculate the remainder when j(2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1372 - 108027?\nAnswer: -110410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18406, 36848, 55290, 73732?\nAnswer: 92174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 3*t + 32552 = -5*h, 0 = h - 2*t - 6513. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2012 and -31\/503000?\nAnswer: 503000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8221446 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-183)\/(-305))\/(1*2\/20). What is the closest to b in 1\/6, -9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 7993440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -753, -2118, -4393, -7578, -11673, -16678, -22593?\n\"Answer: -455*u**2 - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -2, -6\/79, -0.07, -11, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**6\/((v*(v*v**(1\/6))\/v*v)\/v)*v**2*v*v*v**(-1\/2) assuming v is positive.\nAnswer: v**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10 + (0\/6 - -3). Suppose m*h - 4*h = -4680. What is h rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 505 = 2*v + 2*j, 3*j = 5*v - 810. Calculate the remainder when v is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 3*r**2 + 3*r. Let h be g(4). Let d(u) = 19*u + 6. Let v be d(h). What are the prime factors of v\/(-3)*(-11 + 14)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 9:41 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 480290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g*g*g*g\/((g\/(g*(g*g\/((g*g**(4\/19)*g)\/g))\/g))\/g)*g*g)\/g)\/g*g*g**40*g)**46 assuming g is positive.\nAnswer: g**(41768\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/38 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8013783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)\/(1\/2). Let m(t) = s - 4 - 5*t**2 + 4*t + t**3 + t**2. What is m(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217*u - 45*u = 2004660. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 133 - 136. Let s = -1 - p. Let d be (2\/4)\/(1\/8). Put 0, s, -3\/7, d in decreasing order.\nAnswer: d, s, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/1 + 16\/((-1024)\/(-264)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - 113\/5)\/(7\/(-105)) is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-4)\/6*-69. Suppose 4*i - 33 - j = 0. What is the least common multiple of i and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 8*l = -572852. Suppose -5*z + 462802 = -2*r - 396376, r = 2*z - 343671. Let k = z + l. Round k to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -1\/3*v**3 - 1\/2*v**2 + v - 2. Let b(o) = o**3 + 6*o**2 + 5*o - 5. Let i(s) = -b(s) - 5*h(s). Factor i(g).\nAnswer: -g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -252*a + 366*a - 1368 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 443, 847, 1263, 1697, 2155?\n\"Answer: d**3 + 397*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 15. Let t be (-4)\/6*(-13 + 4 - -6). Let s(n) = n**t + 2*n + h - 3 - 4 - n. Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2989, -44, 5 in increasing order.\nAnswer: -2989, -44, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 609\/35 + 6\/10. Calculate the highest common divisor of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/3 + 221596*g**2\/3 + 443198*g\/3 + 221600\/3 = 0?\nAnswer: -1, 110800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 20*q + 102. Let u be l(-6). Let h = u - -251. Solve -6 = 20*g - h*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 + j**3 + j**3)*(-6*j + 6*j + 12*j)*(-5*j + 6 - 6).\nAnswer: 60*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 + -13.8. Let v be (9\/(-3))\/(-15) + 13\/(-15). Which is the closest to 1? (a) 3 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 0*h - 8 - h. Let x be y(6). Suppose -43 = x*b - 191. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nunu when four letters picked without replacement from {n: 2, u: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10*(6\/4)\/3. Suppose 26 = j*o - 9. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 1\/3*s**3 - 1\/120*s**6 - 7\/60*s**5 + 0*s + s**2 + 0 + 0*s**4. Let p be x(-7). Solve -p*q + 25 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.7 + 12.7. Let q = 200 + -199.8. Which is the closest to q? (a) -1 (b) r (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -0.361\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 + b. Let k be n(5). Suppose -f + t = -6, -t - 2 = k*f - 20. Find the third derivative of f*o + o**3 - o + 4*o**2 - 3*o wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17686.533365144 minus 23?\nAnswer: -17709.533365144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -1 - 8, -2*v - 3*u + 107 = 0. What are the prime factors of v?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 77266?\nAnswer: 463596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 36384.33 litres?\nAnswer: 36384330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -3. Let n = t - -1. Let u(q) = 6*q - 3. Calculate the lowest common multiple of u(2) and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-109)\/24*(-20)\/(-1365). Let f = -1\/91 - p. Let d = -1161 + 1160. Sort 2, f, d in decreasing order.\nAnswer: 2, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 384, 411, 438, 465, 492?\n\"Answer: 27*w + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 + 203. Suppose 9*n - 14*n = 0. Suppose -h - 2*h + 116 = o, -4*h + w = n. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -15526, -31051, -46576, -62101, -77626?\n\"Answer: -15525*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 - 241 = 32*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 c when three letters picked without replacement from ddmddcdkmdcf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2) + (-27 - -25)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.4 + -19.4. What is the closest to y in 0.1, 3\/7, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. Suppose -1 = -3*i + 4*c, 0 = y*i - 4*c - 2 - 0. Let s = 1 + i. Solve -12 = -4*f - s*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15059, 15060, 15061?\n\"Answer: p + 15058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 5380 in descending order.\nAnswer: 5380, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 921399, 921400, 921401, 921402?\n\"Answer: c + 921398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4479 + -4480. Which is the nearest to w? (a) 4 (b) 6 (c) 2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*b - 12 = 0, -5*b + 15 = -2*o - o. Suppose o - 1 = m + 4*k, -5*k - 11 = -2*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 122, 947, 3188, 7553, 14750, 25487, 40472?\n\"Answer: 118*b**3 - b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v + 2202*v = 93064 + 22688 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifoleii. What is prob of sequence li?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (42\/(-8) - -3)*32\/12. Suppose -1 = u - 4. Let n(i) = i**2 - u*i - 2 + 10*i + 7 - 2. Give n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c**2 - 4*c**2 + c**2)*(-1843 - 1548 + 4133 + 4711 + 3214) in the form j + a*c + z*c**2 and give z.\nAnswer: 17334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 21. Suppose -g*a + 265 = -a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 58844, 58867, 58890, 58913, 58936, 58959?\n\"Answer: 23*v + 58821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 248*i + 14345. Let a be j(156). Let n = 0.38 + -0.08. Sort 0.8, a, n.\nAnswer: a, n, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**3 + 212*x**2 - 415*x + 10. Calculate q(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*5)\/((-3420)\/(-456)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 57e35 (base 15) to base 8\nAnswer: 1042616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/28 - (-295)\/(-4). Let i = b - -75. Factor 0 - 9\/2*l**5 + 0*l + 15\/2*l**4 - i*l**3 - 3\/2*l**2.\nAnswer: -3*l**2*(l - 1)**2*(3*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**5\/12 - 205*p**4\/36 - 290*p**3\/9 - 190*p**2\/3 + 333*p. Suppose g(y) = 0. Calculate y.\nAnswer: -38, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(50))\/((sqrt(640) - (sqrt(640)*-1 + sqrt(640))) + sqrt(640) - sqrt(640)).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -56 (b) -181 (c) 1 (d) -1 (e) 4 (f) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**3 - 33 + 33.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t + 1. Let s be (7 + -10)\/(2\/(-250)). Let d(x) = 1 - s*x + 378*x - 1. What is -3*c(a) - 6*d(a)?\nAnswer: 3*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 64317912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than 9405?\nAnswer: 9405.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 919590 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 11*o**2 + 16*o + 22. Let c be i(9). Sort -1, 0, c, 2 in decreasing order.\nAnswer: c, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324320.\nAnswer: 2, 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pikeiceieqqkikq. What is prob of picking 1 c, 1 k, and 1 e?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 11:12 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2622 and ((-40500)\/1080)\/((-2622)\/4).\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12850 + -414.1\nAnswer: 12435.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 = 4*x + 4*l, 10*l + 550 = 5*x + 5*l. What is the greatest common divisor of x and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s = 20. Which is the third biggest value? (a) -0.4 (b) 0 (c) s (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2277157, 4554253, 6831345, 9108433, 11385517, 13662597, 15939673?\n\"Answer: -2*a**2 + 2277102*a + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 443*o - 12466. Give q(25).\nAnswer: -1391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 1. Let k(b) = 2. Let u(y) = -k(y) - 2*z(y). Let a(h) = -2*h - 6. Let w be a(-5). Let t(m) = 2*m + w*m - 3*m. Calculate t(u(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 40\/29, -3, 0 in descending order.\nAnswer: 40\/29, 0, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 42 + -7 - 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((385\/(-5005))\/(7\/((-364)\/(-8))))\/((-2)\/188).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1607504698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4977717 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*t - 972 = 0, -5*w + 1215 = -0*t - 2*t. Suppose 746 + 586 = 4*f. Suppose -4*c = -f - w. Is c a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3957 divide 16484862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6497?\nAnswer: 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*h)\/h*h*h**(-4)*h**14*h*h*h*h**0 assuming h is positive.\nAnswer: h**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(275) - (-1*sqrt(275) + sqrt(275))).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 207?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 - 3 = 0, 0 = a - 3*o - 6. Calculate the greatest common divisor of a and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 1 - 4. Let p = 5 - b. Solve p = -3*o - s - 9, 10 = 5*o - 4*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fe09bc - 19?\nAnswer: fe09a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((3\/1)\/15). What is the nearest to -1\/3 in 2, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9 (b) 4 (c) -3 (d) 6094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnngngnngnggnnnngn. Give prob of picking 1 n and 2 g.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 57501?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3623, 7046, 10437, 13790, 17099, 20358, 23561, 26702?\n\"Answer: -w**3 - 10*w**2 + 3460*w + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(432) + -3) - (-3 + 1 + sqrt(243)).\nAnswer: -7 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22963, 22931, 22887, 22825, 22739?\n\"Answer: -j**3 - 25*j + 22989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.3 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 6)\/((-4)\/(160\/(-3))). Let r = 86 + j. Does 30 divide r*(290\/15 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269806 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 8*k - 2. Calculate the lowest common multiple of q(-6) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 17*a - 14*a + 7*a to u + d*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5074 + -4947. Calculate the remainder when o is divided by 56.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + j**2 - j**2)*(-15 - 14 + 13)*(15*j + 12*j - 11*j).\nAnswer: 256*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -175. Suppose -2*x - w = -7*x. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 7:01 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 18 = 5*q, 6*g = 2*g - 5*q + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -7 + (7 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 3*k - 6. Let u be g(-3). Let t(s) = 3*s + 7. Calculate t(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 792909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j - 3*j + 4*j)*(4 + 2 - 5) - 1056 - 41*j + 1056)*(4*j + 6*j - 3*j).\nAnswer: -273*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-186)\/(-24) + -6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/10 - -1 - (-27)\/6. Suppose 9*g = u*g + 2*o + 12, -3*g = 3*o - 3. Which is the nearest to -6? (a) -1\/2 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742, -1262, -1782, -2302, -2822?\nAnswer: -3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5))\/(-2)*150\/25.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8664084 and 1122?\nAnswer: 8664084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -2. Suppose d*y + 0 = -10, 4*y - 40 = 2*g. What are the prime factors of (g\/24)\/(1\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 135. Suppose 2*x - 8 = 2*n, -4*x - 4*n + a + 5 = 0. 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 2452181183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + a + 3 = -3*n, -2 = n for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*b + 6 = 2*b, 4*j - 2*b - 10 = 0. Suppose -g - k = -4, -3*k + 0 - 8 = -2*g. Let 3*p**3 - g - j*p + 4*p**2 - p**3 + 0 = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -4*q + 3*h, 2*h - 11 = -4*q + 3*q. Let y = 4 - 1. Let b = 5 + 0. Solve y*k - q = 2*o, -b = -4*o - 2*k + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*-1 - sqrt(125))*-3*2)**2.\nAnswer: 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 3 (b) 5 (c) -0.5 (d) 812\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4001999\/(-3) + 2\/(-6). Round c to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -14\/15*t**5 - 10*t**2 + 0*t + 10\/3*t**4 + 1\/10*t**6 - 16\/3*t**3 + 0. Factor u(y).\nAnswer: 4*(y - 2)**2*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2 + 17. Suppose 3*c + w = -0*c - 4, c = -d*w + 12. Put 2, 1, c in decreasing order.\nAnswer: 2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.8 - -30. Let p = -2.062 - -0.062. Let y = 2.5 + p. Which is the nearest to -2? (a) l (b) -2\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*s + 9. Let v(g) = g**3 - 4*g**2 - 8*g + 5. Let y be v(s). Let q = y + 14. Solve c = -q*c - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29627113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-663)\/52)\/((-54)\/24*1)*6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35066.\nAnswer: 2, 89, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19538168?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12779 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-75)\/18 - (0 - (-1)\/(-6)). Which is the smallest value? (a) 0.2 (b) d (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -21. Which is the closest to d? (a) 3 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034 + -1.649.\nAnswer: -1.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 85951404 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/226243 or 1?\nAnswer: -1\/226243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 1, l: 1}. Give prob of sequence kb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(3) - sqrt(3)*-1) - (3*sqrt(1100) - sqrt(1100)) - (3 + -5*(sqrt(22)\/sqrt(2) + sqrt(11) + sqrt(11)) + -4))**2.\nAnswer: -9*sqrt(11) + 895\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -953, -951, -949, -947, -945?\n\"Answer: 2*o - 955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -73267, -144725, -216183, -287641?\n\"Answer: -71458*d - 1809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 84 - 98. Solve g*h - 12 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 69.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.38, -4, 8, -3.3, -3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/72*3*8\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 15*z**2 + 15*z + 28. Let o be g(-14). Solve -2*c - 4*r = -o, 6*c - 3*c - 5*r = -34 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*i**3 + 29735203*i**2 + 298387020*i.\nAnswer: -18*i + 59470406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, 3, -1.5, 5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 5*d = -18, 5*c - 3*d - 6 = -d. Suppose -5*l + 58 = -c. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(22\/((-968)\/154))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 65*i + 26304 + 29724. Calculate the remainder when i is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q**2 + 6*q + 7. What is s(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -6, 1, -4 in ascending order.\nAnswer: -6, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 7\/4*h**4 + 1\/6*h**3 + 0*h**6 + 0*h**7 - 109*h + 0*h**5 - 5\/7*h**8 + 0*h**2 + 0. What is the third derivative of m(w) wrt w?\nAnswer: -4800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 37*a**3 + 10*a**2 + 16*a + 13. Let n be j(-7). What is n rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csf when three letters picked without replacement from fksfcfasffsssffff.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/(-2)*4)\/((-353320)\/(-24090)))\/((-4)\/(-22))\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**2 + 5. Let b(y) = -66*y**2 + 48. Suppose -10*l + 323 = -157. Give l*w(r) - 5*b(r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13893490 divided by 1389349.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -u - 5*h - 24, -4*u + 26 = 2*h. Which is smaller: u or 10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lall when four letters picked without replacement from {l: 6, a: 13}?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -47*x**2 + 2 - 40*x + 22*x - 34*x + 19*x**2 - x**3. Let o be h(-26). Suppose 0 = 3*f + t - 972, -o*f = -t - 3*t - 648. Does 41 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 1*(sqrt(5)*-2 + -2)) + -5)**2.\nAnswer: 400*sqrt(5) + 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2623954 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 15. Let r be j(7). Suppose -93 = -3*n - 3*z, 4*n - 67 = 2*n - z. Let g = n - r. Let o(d) = d**3 - 6*d**2 - 8*d + 8. Give o(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10100000101110011100110?\nAnswer: 10100000101110011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 145560 and 10.\nAnswer: 145560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2143367, -2143366, -2143363, -2143358, -2143351?\nAnswer: -2143342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 6 = 2*c, b - 4*b + 3*c = -18 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j - 2. Let h(y) be the first derivative of y**2\/2 - 2. Suppose 0 = -s - 5 + 6. Give s*v(f) + 5*h(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6456 and 43\/80700.\nAnswer: 161400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228190?\nAnswer: 2, 3, 5, 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -3, -83, -1\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -39. Let q(u) = u**3 + 2*u**2 - 2. Let y be q(-3). Let z = -1 - y. Calculate the remainder when z is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42090.94 nanograms in micrograms?\nAnswer: 42.09094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41390141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**3 + 11 + 2*c**3 + c + 2*c**3 - 5*c**3 in the form a*c**3 + v*c + k + g*c**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ueululeleeudeulu. What is prob of sequence lel?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/2)*g**(-2\/9)*g*g**7\/(g\/g**(1\/6))*(g**(1\/4))**(-14\/13)*g*g**5*g*g**(-2\/3) assuming g is positive.\nAnswer: g**(2693\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(36)\/(sqrt(36)\/sqrt(3))*2*4 + (sqrt(144)\/sqrt(4))\/((sqrt(6) + sqrt(96))\/sqrt(2))).\nAnswer: -168*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/862 (b) 37 (c) -11\/12 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbkbbkkkbbb. What is prob of picking 1 k and 1 b?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4407 - 2175. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106454437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 116489687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1765418 - -2723669. Let g = -499251 + s. Round g to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-1)\/(-1)) + 3. What is the tens digit of 2 + j - 5 - -14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 - 4. Suppose -5*z + 16 + 9 = 0. Let f(g) = g**2 + z - 5 - 1. Calculate -4*f(r) + j(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1 - 28\/(-16)). Let q(i) = -2524998*i - 8. Let f be q(p). What is f rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93025560 and 1260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.701, 0.8, -1, -31?\nAnswer: 0.701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.066 and -0.09821.\nAnswer: -0.16421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/47)\/(75\/30*1)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - -94 - (1 - 0 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 169.9987 nanometers in meters?\nAnswer: 0.0000001699987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - q**2 - q - 1. Let b = 2 + 2. Let w = b + -3. Let z(g) = -1. Suppose 0 = 4*y - 3*y + 1. Calculate w*f(s) + y*z(s).\nAnswer: s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21\/2 + 11. Let t = -2 - 2. Let y = -246.9 + 247. Which is the second smallest value? (a) o (b) t (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100100101101110 (base 2) in base 7?\nAnswer: 1555002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(98) + 2*sqrt(98) - sqrt(98))*-3 - (2 + sqrt(98) + -2)))**2.\nAnswer: 120050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002323566 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 + -211.38. Let f = l - -212. Which is the fourth biggest value? (a) 4 (b) 2 (c) 10 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1643 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48067 - -48065. Let x be 1 + 6\/(-32)*6. Which is the smallest value? (a) p (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + n**2 + 0*n + (5 - 3*n - 5)*(6*n + n + 8*n).\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 145 + 64. Calculate the greatest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1986 + 4939. Suppose h = 6*b - 1343. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(45)*-6*-6)\/(sqrt(144)\/sqrt(4) + sqrt(36) + (-2*sqrt(18))\/sqrt(2)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(114)\/sqrt(6)) + 0 + sqrt(475) + -2 + (sqrt(513)\/sqrt(3) - sqrt(684)*6) + 0)**2.\nAnswer: 112*sqrt(19) + 14900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 - 2*o**3 + 2*o**3)*(-1282*o**2 - 11152479*o + 11152479*o).\nAnswer: -1282*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6489 is divided by 1405.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 - 2*a + 3. Suppose -2*q + 34 = k, 2*k + 22 = 2*q - 0*k. Let g = -2 + 3. Let x be q\/(-6) - g\/2. Calculate i(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 203.\nAnswer: 5\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*v - 2*u = -253*v - 11, -4*u = -2*v + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r + 27*r - 63 = 0. Solve r*x - 12 = 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 + 51 = -2*m + 3*u, -u + 480 = 3*m. What is the remainder when m is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 28131.525 microseconds?\nAnswer: 0.0000078143125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6661 - 79a2?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33756 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 16*a + 184 = -10*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - w - 25 = 0, -3*h + 5*w - 10 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**5 - 422770*c**4 - c**3 - 3620*c + 526.\nAnswer: 20*c**3 - 5073240*c**2 - 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -9. Let l be 4\/g + (-70)\/(-6). Let m(b) = -b**3 + 11*b**2 + 13*b - 5. Is 3 a factor of m(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5641 - -5646. Let j(o) be the second derivative of -17\/30*o**6 + 16*o + 0*o**4 + 0*o**c + 0*o**3 - 9*o**2 + 0. Find the first derivative of j(m) wrt m.\nAnswer: -68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138654069*s**5 + 146176*s**2 + 102*s + 2?\nAnswer: 8319244140*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34694 is divided by 1566?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -12. Let w be (8\/d)\/(14\/(-21)). Factor -18*y**w + 2*y + 33*y**2 - 16*y**2.\nAnswer: -y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 8*c - 2. Let h(i) = i**2 - i - 6. Let y be h(0). Calculate the least common multiple of o(y) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/1587?\nAnswer: 2\/1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14332851 and 234.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 286\/5, -4\/7, -2\/9, -3\/5, -18?\nAnswer: 286\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-21) + 412\/(-28). Let w be (-10)\/m + (-4)\/6. Let r = 83\/20 + -17\/5. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*y**2 + 6*y**2 + 9*y**3 - y**2 + y**2 wrt y?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 19 + 13. Let b(q) = q**2 - 29*q + 123. Let a be b(27). Let r = k + a. Calculate the remainder when r is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1447*f + 852*f + 178*f - 142*f - 137765 for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5480*j - 43798. Give u(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*f - 2*f + 547, -2*f = 4*k - 1090. Let y = -52 + k. List the prime factors of y.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 - 70 = -4*w. Let z be ((-6)\/w)\/((-9)\/(-21)). Suppose 2*x - 27 = -5*d, -2*x + 10 = 4*d - 12. Is x less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 828708610 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0846009 (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 581 and 10375?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - l)*(-2 + 2 + 3) + 23*l + 12*l - 7*l - l + 2*l + 0*l + 4 - 4 - l + (1 - 1 + 1)*(-1 + 2*l + 1) - l + 0 + 0 + 106*l - 14*l - 49*l.\nAnswer: 78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4 - 2*h**3 - h**2 - 7*h + 12. Is v(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/13, 0.2, 3\/2, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-11 + 5) - 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 93, 231, 435, 711, 1065, 1503?\nAnswer: 2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 10*a + 4*l + 13605, 4*a - 10920 = -4*l. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -3*v**2 - 62268*v = 0.\nAnswer: -20756, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 35*m + 1. Let r be j(1). What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 17*b = -48*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 3. Let k = 0 - -1. Suppose -54*z - 6 = -52*z. Let v be (1\/z)\/(k\/(-12)). Determine w(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + o. Let n(r) = -10*r**2 - r - 13. Let q(c) = -29*c**2 - 4*c - 38. Let p(m) = 17*n(m) - 6*q(m). Let d(i) = -p(i) + 5*y(i). What is d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 4 + 220\/(-35)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l**2 - 8*l. Let p(g) = g**2 - g. Let r(n) = a(n) - 6*p(n). Let k be (1 - 2) + (-3)\/3. Calculate r(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1\/13 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12894012 to the power of 1\/2, to the nearest integer?\nAnswer: 3591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - h**2 - 5*h\/4.\nAnswer: h*(h - 5)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6.41 times 12.1\nAnswer: 77.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016193019 to the nearest integer?\nAnswer: 31878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -8*t - 40. Let w be (-4)\/14 - t\/(-175). Put 1, -3, w in decreasing order.\nAnswer: 1, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -21. Let x = h + 20. Calculate the highest common factor of 77 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 47 + 45 + 2*h - 202 + 31 + 0*h + 52.\nAnswer: 2*h + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**2*r - 20318*o**2 + 391*o*r - 153*r wrt o.\nAnswer: -10*r - 40636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 - o**2 + 6*o**2)*(o + o - 3*o) - 1574*o**3 - 173457443*o + 173457443*o in the form n*o**2 + f*o**3 + i*o + w and give f.\nAnswer: -1577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 + 1)\/2)\/1. Suppose z + 3*l = -12, -5*z - 5*l - 25 + 5 = y. Suppose -5*g + 3*c + z*c = -2, 5*g - 10 = -5*c. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 24*h**2 + h. Let x(c) = 1606*c + 24*c**2 - 3188*c + 1583*c. Determine -5*m(n) + 4*x(n).\nAnswer: -24*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 at most -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 23, -1 in decreasing order.\nAnswer: 23, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, v: 4, k: 1, n: 3, w: 3, q: 2}. What is prob of sequence knn?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2, -0.0749, 3?\nAnswer: -0.0749","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**4 + 975*x**3 - 4960*x**2 + 7980*x - 4000 = 0.\nAnswer: -200, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, y: 2, t: 2, g: 6, m: 2}. What is prob of sequence tmy?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*k - 4*k + 5934 = 0. What is the remainder when k is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 + 290*d*g**2*z - 2*d*z - 2*g**2*z + 128*z wrt d.\nAnswer: 4*d + 290*g**2*z - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oshthstotts. What is prob of sequence otts?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 + 1 + (-22)\/(-3))*-3. Let y(a) be the third derivative of 5\/12*a**5 + 0*a**4 + 0*a - 5\/6*a**3 - 39*a**k + 0. Differentiate y(m) with respect to m.\nAnswer: 50*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0*f + 5*j + 5 = 0, -3*j - 11 = -f. Solve 4*a - 8 = 4*c, 3*a + 2*a - 31 = -f*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2*2\/1. Let p be (-152)\/w - (-4)\/(-14). Let v = -12 - p. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 12*u + 28. Let l be i(14). Let h = -0.605 + 2.605. Which is the fourth biggest value? (a) -4 (b) -3 (c) l (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128072?\nAnswer: 2, 7, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(-40) assuming d is positive.\nAnswer: d**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000011 + 1?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 17265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + 0.1. Let s be 5130\/(-11970) + (-19)\/(-28). Which is the nearest to s? (a) 0.12 (b) 3\/4 (c) -2\/5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773 not equal to 5772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0 + (1 - 2 + 0)*(-4 - 2 + 2))*((-3*y**2 - 11 + 11)*(0 - 1 - 5) - 2*y**2 + y**2 + 3*y**2).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21160 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - 2*h**2)*(2*h**2 + 0*h**2 - 6*h**2) + h**4 + 0*h**4 - 2*h**4 - 7*h**4 + 11*h**4 + 14*h**4.\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161958147.\nAnswer: 3, 13, 19, 127, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/(-36)*((-27)\/6 - -3). Is 56 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009216 to 7 dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -24. Suppose t = -t + 3*f + d, 3*t = 3*f + 42. Let h(w) = -w**3 + 9*w**2 + 8*w + 12. What is h(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393693673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 + 1 = 0. Suppose 0 = -t + 5*h - 3, 4*t = h - 0*h - 12. Let w = p - t. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568153817.\nAnswer: 7, 11, 61, 73, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (0 + -2 + (-15 - -6) + 6 - 7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 5 + -24 + -40 + 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**3 + m + 1. Let r be a(-1). Let i(p) = -p**3 + 5*p**2 + 6*p + 8. Give i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 + 30*w + 13. Let x be m(15). List the prime factors of x\/10 - (-2 + 54\/30).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4354 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3529560 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -90. Let j be (17\/3)\/((-14)\/h). Solve -5*u = -f - 20, -3*u = -5*f - j + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 425 = -25. Suppose -952 = -i*s + 43*s. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 80*r - 85*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, 911519, -0.4, 2, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 157 - 157.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4 - 6*o**3 - 4122*o**2 - 731*o**2 - 308*o**5 + 68 - 68 + 285*o**5 wrt o?\nAnswer: -1380*o**2 - 72*o - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544012.\nAnswer: 2, 7, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 x when three letters picked without replacement from awxwaxwawucp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 6. Calculate the remainder when l is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - (-3 - -1)) + -5 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**2 - 104*n + 1670. Let v(j) = j**2 - j + 1. Let k = -95 + 83. Let s(a) = k*v(a) - g(a). Factor s(q).\nAnswer: -2*(q - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3064\/5 + 9197\/15. What is the nearest to 1 in 23, 1\/7, -1\/10, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 12*q**2 - 14*q - 7. Let y be f(-13). Suppose 0 = -y*j - 7 - 23. What is the lowest common multiple of 14 and (14\/(-35))\/(1\/j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22402?\nAnswer: 2, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - -3) - ((-52 - -25) + 19)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*a + 76*a + 331*a - 41*a.\nAnswer: 241*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of 50*c + 1\/75*c**6 - 7\/15*c**4 + 3\/50*c**5 - 4\/5*c**3 + 8*c**2 + 0. Determine g so that m(g) = 0.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205114026 divided by -2629667?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -4, 20, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*v + 12380, -4*v + 25*j - 30*j + 24742 = 0. Does 35 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 19*h - 181. Suppose g + t = 5, 0 = 5*g - 4*t - 0*t + h. Put 15, 4, g in decreasing order.\nAnswer: 15, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 487 and 910690?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 142\/1846 + (-51)\/(-13). Solve 13 = c*t - k, k = -5*t + 4*t - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziskh. What is prob of picking 1 h, 1 z, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - t - 1. Let y be k(3). Suppose 0*d - 4*a = -y*d + 95, 95 = 5*d - a. What is the greatest common factor of 95 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**3 + 15*z**2 - 30*z + 15. Let p(t) = t**3 + t**2 + t - 1. Let w(s) = m(s) - 3*p(s). Find c, given that w(c) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -0*h - 13. Suppose -x - 2*w = -h, x = 6*x + w - 110. What is the remainder when x is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose 3*k - 47 - 208 = x. Calculate the highest common divisor of 17 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 3836 = 2*s. What is the greatest common divisor of s and 2603?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 198 + -168. Let q be 2*12\/i*5\/2. Let d be (-10)\/(-3) + (-2)\/(-3). Solve 3*v - 9 = -2*o, d*o - 3*v - q*v = 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1570273 (base 8) to base 13\nAnswer: 12c04c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 17. Let n(a) be the second derivative of a**5\/20 - a**4\/2 + a**3 + 7*a**2\/2 - a - 601. Is 14 a factor of n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -19, -1, 4, 8 in decreasing order.\nAnswer: 8, 4, 3, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-26))\/((-204)\/5304).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 2, q: 1}. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310 + -122?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 6*w - 4*w - 26, -3*y = -5*w. Suppose -y*d - 5*b + 98 = -7, d + 4*b = 24. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*((f*f**(-2\/15))\/f)\/f*f)\/f))\/f**(-2) assuming f is positive.\nAnswer: f**(32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428003 is divided by 678.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*((-1 + 2 + 0)*(3 - 2 + 1) - 3 + 3 - 2 + 7 - 3 - 3)*(j - 2*j - 3*j + (-4 - 1 + 4)*(14*j + 0*j + 3*j)).\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (0\/3 + -3)*867\/(-153)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 795 - 96 = n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24916030 by 35093.\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 5. Suppose d = -3*p + 12, -4*p = -2*j - 34. Let u = -4 - j. Solve -4*b = -u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 198, 568, 1284, 2460, 4210?\nAnswer: 6648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 174363*i - 8543793. Give x(49).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62717309 less than 52.42?\nAnswer: -62717256.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 - l**3 + 2*l**3)*(5*l + 0*l - 3*l) + (-3*l**3 - 3*l + 3*l)*(32 - 32 + 26*l).\nAnswer: -82*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/342 + (-132)\/(-171).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*k - 34, 23 = 3*k + j + 7. Suppose 0 = -3*g + 6*g - 3*r - 12, -2*r = -5*g + 14. Solve 2*f + y = 0, k*f = g*f - 3*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/((-2)\/(-5)). Let l = -20 + 20. Which is the closest to l? (a) -2\/15 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4290 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvwv when four letters picked without replacement from {w: 5, v: 4, r: 7}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-1104)\/(-360))\/(124\/24).\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from {f: 1, y: 2, t: 1, x: 6, q: 3}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8448)\/1760)\/((-2)\/(-56)*12\/(-10)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8)\/(s\/(s\/((s*s**(2\/27))\/s)*s))*(s*s**(1\/5))**29 assuming s is positive.\nAnswer: s**(3743\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 8*a**3 - 12 - 1 wrt a.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.12. Let g = -1439\/2490 - 11\/498. Let l = 4 + -6. Which is the closest to l? (a) w (b) 0.3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(2\/55)\/(m**(1\/3)\/m)**(-1\/15)*((m\/(m*m\/m**0*m)*m)**(1\/32))**(30\/11) assuming m is positive.\nAnswer: m**(-263\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yusyssyuyuyys. Give prob of picking 1 u and 2 y.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 25*t. Let j(a) be the third derivative of -a**4\/12 - 181*a**2. What is j(n(q))?\nAnswer: -50*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -78*h**2 - 9. Let p(d) = 61*d**2 + 7. Let t(c) = 7*g(c) + 9*p(c). Give t(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -3*i - 2 + 2\/5*i**2 - 1\/3*i**3 + 2\/15*i**4 - 1\/50*i**5. Factor o(q).\nAnswer: -2*(q - 2)*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:59 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16 - 1)\/((-3)\/3). Let n(i) = 2*i**3 + 44*i**2 - 95*i + 21. Let z be n(-24). Is 10 a factor of z - ((-1443)\/h - (-30)\/(-255))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 53408 + 1 - (-3)\/(-3). Suppose r = -0*f + f - d, f - 4*r = 53420. Suppose 139404 = 2*y + f. Round y to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*a*h*i*o - 367*a*h*o - 2*a*i**2*o - 6*h*o - h + i**2*o - 2*i*o - 294*i with respect to a.\nAnswer: -6*h*i*o - 367*h*o - 2*i**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73396662373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*x + 11700 = 1838*x - 1149*x for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00044855463 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:53 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 - 6533*n - 1934607. Determine p(-853).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w - 70. What is the tens digit of s(47)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**2 + 58*i - 25*i + 7*i**2 - 33*i.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 4*z**2 - z - 5. Suppose 3*f = 5*h - 2*f + 45, 0 = -2*h - 3*f + 7. Let d be s(h). Which is the smallest value? (a) -2 (b) d (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poo when three letters picked without replacement from oppopop.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 514180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eighteen fifths of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 6. Let g = 13 - 14. Let m be (2 + g)\/(5\/25). Let f(t) = 0 - 5 - 2 + 5*t. Give m*f(v) + 6*b(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**8\/(((l\/(l\/(l**(1\/9)*l))*l*l)\/l)\/l))\/(l*l*l**25*l*l**(-12\/11)*l))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226347 is divided by 70?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4280\/14 - 4\/(-14). Suppose 0 = -4*u + c - 6*c + a, -u = 3*c - 80. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - n - 170800001 = -3*f, -n - 85400001 = -2*f. Round f to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**3 + 250*m**2 + 2625*m = 0. What is m?\nAnswer: -35, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-4) + -5)\/(-2). Let t(v) = 7*v**2 + 2*v - 1. Let o be t(1). Solve i*h + o = 6*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-2\/7)\/v)\/v*v**(-3)\/v)**(-7\/2))**(-6\/13))**(-18) assuming v is positive.\nAnswer: v**(2376\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010000000100110 (base 2) in base 13?\nAnswer: 27764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/2, -4 in descending order.\nAnswer: 3\/2, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 2*b - 12, -13*y + 17*y = -b - 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*t - 922, 4*v - 4*t = -0*v - 940. Let x be v\/(-12) + (-1)\/3. What is the highest common factor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 6*u**2 - 3*u. List the prime factors of r(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22, 19, 6, -23, -74, -153, -266, -419?\n\"Answer: -h**3 + h**2 + h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**5\/170 + 8*z**4\/51 + 35*z**3\/51 + 18*z**2\/17 + 71*z. Factor s(w).\nAnswer: -2*(w - 18)*(w + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*v - 44 = 0, 2*v - 77 = -3*b + v. Solve 3*q = -3*n - b, -n + 2*q + 2*q + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -8*u**7\/7 + 7*u**4\/6 + 43*u. Find the third derivative of i(z) wrt z.\nAnswer: -2880*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*z**3 + 32*z**3 - 40*z**3 - 45*z**3.\nAnswer: -103*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5160 or 5174?\nAnswer: 5174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 + 0*r - r - r + 5*r**4 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 44. Let v be (-6)\/5 - 13\/((-715)\/44). Let x(t) = -t**3 - 6*t**2 + 7*t + 7. Let s be x(-7). Which is the closest to v? (a) r (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 3, -5, 23 in decreasing order.\nAnswer: 23, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-9)*(-2730)\/(-2275)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -105. Do u and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4704642 is divided by 887?\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -52.9 = 3\/152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9031536 divided by -16\nAnswer: -564471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*c**4*s**3 + 30*c**3*s**2 + 163*c**2*s + 21*c*s**3 - 2*s wrt c?\nAnswer: 2616*c*s**3 + 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 91940970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 2243?\nAnswer: -2235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*x**3 - 125 + 125.\nAnswer: -74*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/11 and 23\/(-27)*(-21 + 27)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -236668, -469901, -703146, -936409, -1169696, -1403013, -1636366?\n\"Answer: -w**3 - 233226*w - 3441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {r: 2, v: 4, l: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567203 is divided by 98?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 7*u - 6. Solve -u*h = -4*z - 22, 0*h - h - 4*z = 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -2. What is the remainder when 34 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 - -52. Let r(o) = -38*o + 18. List the prime factors of r(l).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + (sqrt(605) - (sqrt(605) + sqrt(605)*2)) - (sqrt(605) + sqrt(605) + -1)*2)**2*5.\nAnswer: -3960*sqrt(5) + 109084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/((-880)\/(-55)))\/((-2)\/(-98))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.4. Let q = -5.84 + 1. Let x = q + -0.16. Which is the second biggest value? (a) m (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(484) - (-2*sqrt(484) + sqrt(484))*-5)\/(sqrt(24)\/sqrt(192)*-2).\nAnswer: 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34382459 to the power of 1\/2, to the nearest integer?\nAnswer: 5864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2 + 3*f + 6 = 0. What is f?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2395358 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 18\/5 of a meter?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, d: 1, n: 3, y: 6, g: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 2 = 0. Suppose 0 = 14*u - 20*u + 12. Solve -2*o - 1 = -i, -u*o - m = -7*o + i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/7 - 5184532*j\/7 + 6719843014756\/7 = 0. Calculate j.\nAnswer: 2592266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 2*d**4 - 234 + 234 - d**4 - d**3 - 3*d**2 in the form k + a*d**2 + l*d**4 + t*d**3 + f*d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13455 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 plus 4.3?\nAnswer: 3091.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 145046281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 2*o + 0*o)*(3*o + 2*o + 0*o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13932 by -774.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3321 + -3320.66. Which is the second biggest value? (a) 5 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864)*-6)\/((sqrt(60) - sqrt(540))\/sqrt(5) - sqrt(12)))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(200)*-2)**2 + sqrt(200).\nAnswer: 10*sqrt(2) + 3200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 19741 = -5911. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 208.21?\nAnswer: -1665.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 487.43 * -0.1958\nAnswer: -95.438794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/2 in -2, 2, -4, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, -0.07, 2336 in decreasing order.\nAnswer: 2336, 0.1, -0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(4\/(-574))\/((5325\/(-350))\/(-71)).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/7856920 and -63\/200?\nAnswer: 39284600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -1 + (-3 + sqrt(5))*-4)**2.\nAnswer: -44*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*g**3 + 76*a*g + 10*a + 37*g**3 + 32*g wrt a?\nAnswer: -g**3 + 76*g + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.919 + 4.919. Suppose -k + 2*k + 4*o = 17, 5*o = -2*k + 19. Which is the third smallest value? (a) -1 (b) u (c) k (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223.67801 + 0.02199. Let s = o - 224. Which is the closest to -2\/3? (a) -1 (b) s (c) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 22*x + 1 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.9 + 0.9. Let p = s - -22.1. Which is the smallest value? (a) p (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11092679?\nAnswer: 13, 853283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 203 and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 2*v**2 - 6*v + 3. What is the tens digit of d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -2)\/(9\/(-156)). Is (9402\/8)\/((-39)\/l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 3. Let u(t) = 3*t - 1. Let a be ((-6)\/12)\/(1\/4). Calculate a*l(h) + 5*u(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 4:31 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 28409+-2\nAnswer: 28407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -12. Suppose -v*y + 158 = n - 4*y, -3*n - 3*y + 474 = 0. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l - 3*l + l + (0 - 4 + 2)*(0 + 2*l + 0) + 6*l - l - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -5 + (-23 - 117)*(-345)\/2196\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -41*c - 1340*c**2 - 699*c - 139*c**3 - 5*c**5 - 190*c**4 + 80*c - 726*c**3 = 0.\nAnswer: -33, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*a - 13*a + 21*a)*(2 + 3 - 4)*(2*a**2 + a**2 - 2*a**2) - 1 - 4*a**3 + 1.\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -579526*l**4 - 14*l**3 + l**2 + 104288*l wrt l.\nAnswer: -13908624*l - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 36 = -2*m, -5*m = -5*f + 6 + 29 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:40 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c - 2. Let p(x) = x. Let s(j) = o(j) - 3*p(j). Let t be s(5). Let n be 2\/(6 + -8) + 25*1. What is the greatest common factor of n and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 572 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, c: 1, j: 5, h: 5, v: 3}. Give prob of picking 1 j and 1 c.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.1 - -14. Let m = -5.1 - -0.1. What is the closest to q in 5\/3, m, 5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 153*j**3 + 26*j. Let u(n) = -1073*n**3 - 180*n. Calculate 2*u(t) + 15*y(t).\nAnswer: 149*t**3 + 30*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**2 - 22*l. Let h(x) = x**2 + x. Let p(j) = f(j) + 4*h(j). What is the second derivative of p(m) wrt m?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38035 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2395 and 2295847.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -50 - 54. Let k = 114 - d. Suppose -4*x - 35 + k = 0. Is 15 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3316 + -3310. Let r(g) = g**2 + 2. Calculate r(l).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -788 + 12*p + 64 - 13*p.\nAnswer: -p - 724","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 2)*10 + 2. Let g be (c\/3)\/(-8)*28. Let p = g - -14. Solve 2*b = -p*b - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1292, -1272, -1230, -1154, -1032, -852, -602, -270?\n\"Answer: 2*k**3 - k**2 + 9*k - 1302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 9*g**2. Let m(z) = z**2 - z. Let s(u) = -100*u - 96*u - u**2 + 296*u - 98*u. Let p = 27 + -25. Let y(f) = p*m(f) + s(f). Calculate k(y(r)).\nAnswer: 9*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4247 + 253. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 107*a - 367 - 2728, 0*i + 4*i = i + 2*a - 70 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + 9. Let n be h(-3). Let b = -30 + n. Let d(i) = 2*i + 4. What is d(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*s - 63418 = 821*s - 177*s for s.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzlllzvzlzlhzll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89145*t**4 + 50253*t**2 wrt t?\nAnswer: 2139480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3361 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 203.\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2900 and 113\/116480.\nAnswer: 16889600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716 = 140*f - 1104 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -2\/5, -6.66, 4 in descending order.\nAnswer: 4, -0.21, -2\/5, -6.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/4*(-1)\/3. What is the second smallest value in -2, l, 0.01?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-8)*(-82)\/(-123) - (9 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145*l*q**2*x + 2*l*q*x - 2*l*q + 148*l - 4*q**2*x - x wrt q.\nAnswer: 290*l*x - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - n = 3*j + 161, -n - 2*j + 54 = 0. Suppose f = -5*s + n, -4*s + 36 = s - f. What is the smallest common multiple of s and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3 - 1 = -5*k, 0 = 4*k. What is the remainder when (f\/2)\/((-5)\/280) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 13*m**2 - 16*m - 10. Let f be j(-13). Let x = 617 - f. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let a be 6\/21 - (-26)\/7. Let o(j) = -a*j + 3*j - 2 + j - 3*j. Determine 2*k(y) - o(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.72 + 28.72. Let k = y - 28. Let o = 2 - -3. Which is the closest to k? (a) o (b) -10 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(200)\/(sqrt(8) + sqrt(24)\/sqrt(3)))\/(2*sqrt(20) + 2*sqrt(20)\/sqrt(4)).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2971, 11967, 26961, 47953, 74943?\n\"Answer: 2999*m**2 - m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 4*j + 8. Let q(a) = -a**2 + a + 1. Let h = -9 - -10. Let c(k) = h*x(k) - 4*q(k). Find the first derivative of c(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 252 = -15*r. Suppose -3*n + 7*d + 128 = 5*d, -n = 3*d - r. Calculate the greatest common divisor of n and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-9))\/((-1)\/(-3)). Let c = 1.5 + 0.7. Let j = c - 1.2. What is the closest to o in 4, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 20 = -62. Suppose 0 = -2*q + 5*g - 8 + 27, -6 = 3*q + 4*g. Solve -4*h = -q*d + 5*d + 4, h = d + z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 70, 75, 82?\n\"Answer: r**2 + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 133\/216521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -242 - 411?\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f**(-6))**10 assuming f is positive.\nAnswer: f**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.3 + -6.1. Let p = -0.1 + -1.3. Let l = t + p. What is the smallest value in -1\/2, l, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 33*s**2 + 13*s - 10. Let b be c(1). Calculate the greatest common divisor of 1278 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006507203 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 40*b**2 + 12*b - 5*b**3 + 35*b**2 + 6*b = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(363)*2 + -5)**2 + sqrt(27)\/(sqrt(1089)*2)*6.\nAnswer: -2954 + 4843*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 826521293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 12. Suppose r*d = -127 + 499. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6389, -6402, -6429, -6476, -6549?\nAnswer: -6654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + p + 3*p + (4 - 3 - 3)*(-2*p - p + 2*p))*(1310*p**2 + 4*p - 660*p**2 - 429*p**2) as x + n*p**3 + z*p**2 + m*p and give n.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -19*j + 46*j - 25*j + 35. Let y be q(-19). Which is the third smallest value? (a) 0.17 (b) 1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 50*n**2 - 2*n - 1. Is d(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3314324 at least -3314321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.1. Let j = -0.79 - 0.85. Let d = -0.36 + j. What is the second biggest value in d, 2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/8 + (-345)\/(-3 - 0). Suppose -q + 5*b = -s, -3*q + 378 = 13*b - 16*b. Calculate the remainder when q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.59 less than or equal to -28632544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 9 = -3*z, -3*z + 20 = -d. Let r be 15\/5 + 7\/(d\/4). Solve 3*g - 4*g = y, 0 = 4*y + 5*g - r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -13*u - 6*u + 60. Solve -u*z - 2*s = -42 + 57, 5 = 4*z + 5*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 225 - 182. Suppose g - 23 = v - 0*v, -2*g = v - j. Solve -5*s - 5 = -20, -4*s = -5*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123500 + 2?\nAnswer: 123502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 97*t**2 + 471*t - 315. Give k(-53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 24769?\nAnswer: 5\/24769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 - 3*o + 6. Let x be k(4). Let h = 6 + x. Let r = 3 - 6. Sort h, 3, r in increasing order.\nAnswer: r, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 19820\/11 and -7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 679431 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9822 - -10399. What are the prime factors of i?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339673721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 11:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - j - 242 = 0, -3*a + 291 = a + 5*j. Suppose -2*q - 2*l = 328, 251 = -q + l + a. What is q rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 22 = 77. Let p = 1 + j. Suppose x = 2*t - 7, 5*t - p = t - 2*x. What is the highest common factor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14, 34, 74, 140, 238, 374?\n\"Answer: a**3 + 4*a**2 + a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by 13775\nAnswer: -83\/13775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49 - 49 + 4*j**4 + (2 + 2*j**4 - 2)*(3 - 4 - 1) + 4*j - 2*j**4 - 4*j + 234*j**4 - 108*j**4 - 105*j**4 - 1.\nAnswer: 19*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h**3 - 7*h**2. Let t(g) = -9*g**3 - 14*g**2 - g - 1. Let u(m) = 11*j(m) - 6*t(m). Let q be u(-5). What is q rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**19\/q**(-3\/4))\/(q**(-3\/10)\/(q**(-16)*q)) assuming q is positive.\nAnswer: q**(101\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -677*x**2 + 605*x**2 - 3*x + 3*x in the form h*x + j*x**2 + q and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyyd when four letters picked without replacement from ndmmmxdnnmmy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-151)\/(-453))\/(2\/(-84)*2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1104)\/32 - 1\/(-2). Let x = 36 + z. Suppose 0 = -m + 3, 4*i - 6 = -x*m + 8. Solve 0 = -2*g - 4 + i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 5:16 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 28. Let n be (-400200069)\/(-23) + (-4 - f). What is n rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:16 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:04 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/21, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*q + 165*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1901, 1900, 1899, 1898, 1897, 1896?\nAnswer: 1895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0149238992 to 4 dps.\nAnswer: 0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*y + 78 = 12*y, 0 = -29*j + 3*y + 16. Factor -72\/5*r - 2\/5*r**j - 648\/5.\nAnswer: -2*(r + 18)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512055622 to the nearest integer?\nAnswer: 22629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -4, -9, -18, -31, -48?\n\"Answer: -2*p**2 + 5*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/4*(-8 - -6). Let g = 8 + a. Find the first derivative of s**3 - s**g - 8 + 1 - 2*s**4 wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 10*w**3 - 18*w**3 + 0 - 2*w**2 - w in the form u + b*w**3 + v*w**2 + q*w and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 3*w**2 - 14*w + 8. Calculate m(5).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 59562.31 centimeters?\nAnswer: 595623100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-6) + 3)*-6. Suppose u*p + 57 = 6*p. Calculate the highest common factor of 171 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328101093?\nAnswer: 3, 179, 203663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 10819 = 2*x, -3*x - 4*t = -16453 + 217. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.1, 3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyyy when four letters picked without replacement from {c: 2, y: 7, a: 9}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjtjv. Give prob of picking 1 c, 1 v, and 1 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*x. Let s be -97 + 1\/(-1 + x). Let q = s + 211. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:01 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from asassssaasasss.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47805601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i + 4*i**2 + 24*i**3 - 3*i - 3*i**2 + 13*i in the form s + k*i + j*i**3 + z*i**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-248)\/(-155)*(-20)\/24*3*(-2)\/444?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + l + 28 = 0, -4*s - 8*l + 68 = -13*l. Find the third derivative of 3*i**2 - i**2 + 5*i**2 + 493*i**4 + s*i**5 - 491*i**4 wrt i.\nAnswer: 720*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -5. Let p = x + 8. Let n = -2 - -4. Solve -3*q - p*c = -0*c + 11, n*q + 5*c = -22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (123\/984)\/((-1)\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1587*m**2 - 3*m + 211.\nAnswer: 3174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 391 - 407 + 798.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*d - 120, 2*d = -12 + 4. Suppose 9*y + q = 14*y. Solve -5*o = -z, 3*o - 8 = y*o - 2*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 6*b. Let c be k(6). Let l be 9 - (1 + c)*3. Calculate the greatest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 8*z**2 - 9*z + 8. Let c be o(7). Let q(u) = u**3 + 6*u**2 + 2. Let r be q(c). Suppose r = -0*w + w. Solve 4 = -w*t + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 5\/3*j**3 - 24*j**2 - 3\/2*j**4 + 0*j + 109. Find the second derivative of q(b) wrt b.\nAnswer: -36*b + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -3. Let n(g) = -3*g - 4. Let s be n(v). Solve -13 = -4*w - s*b, -5*w - 4*b - 6 = -20 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 10. Let s(k) = k**2 - 39*k + 18. Let w be s(37). Let f = w - i. Solve v - 8 - 1 = -2*q, -f*v = -4*q + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**4 + 0*y**2 + 0*y**3 + 0*y - 2\/9*y**5 + 0.\nAnswer: -2*y**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 719*b**3 - 69 + 69.\nAnswer: 719*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, 36, 44, 52?\n\"Answer: 8*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o. Let h be l(4). Let z be (-168)\/h + (-1)\/4. Suppose -z*g + 5*s - 3 + 23 = 0, 6 = 3*s. Calculate the highest common factor of g and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 123430 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 9*s - 528 = 0. Calculate the greatest common divisor of 99 and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 9. Let p be n(-6). Suppose 216 = y - q - 85, -y - p*q = -313. Let f = y - 143. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(6))**2 + 0)*-4.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36.4, -4, 0.1, -2\/279 in decreasing order.\nAnswer: 0.1, -2\/279, -4, -36.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 708.7999952512 + -708.8. What is p rounded to seven decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140578779.\nAnswer: 3, 11, 499, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(5200))**2*-2 - (-1*sqrt(6292) + 5 - (sqrt(6292) + 4*(1 + sqrt(6292))))**2.\nAnswer: 264*sqrt(13) + 23087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 464647248 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -11*x. Let t(u) = 4*u**2 - 3*u + 3. Suppose -3*v + 2 - 11 = 0. Let m(f) = 7*f**2 - 5*f + 5. Let w(r) = v*m(r) + 5*t(r). Calculate w(h(c)).\nAnswer: -121*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/4 - (-3)\/12. Let f be (-2)\/(-6)*6*12\/6. Sort m, -2, f in ascending order.\nAnswer: -2, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.997195 millimeters to kilometers.\nAnswer: 0.000009997195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-30) + 14\/30. What is the third smallest value in -12, 5, -3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29630462*s - 123576358 wrt s?\nAnswer: -29630462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a**3\/5 - 2191*a**2\/5 + 629*a\/5 - 9 = 0. Calculate a.\nAnswer: -45, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 262144 and 2272.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472135107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(1\/(-21) - 50*(-34)\/(-17850))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 - l + 1. Let c be s(1). Let i be (c*-6)\/(-3) + -2. Suppose 5*n + 72 = -2*q + i*q, 2*q + n = 22. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/4)\/s)**(-2\/47)*s**4*(s*s\/(s\/(s**(3\/2)\/s)*s))\/s assuming s is positive.\nAnswer: s**(166\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*w + 50 = 235*w + 4*l, 0 = -5*w + 2*l - 34 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 2, -1, -22, 0.28.\nAnswer: -22, -1, 0.28, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p**2 - 540*p - 14797. What is r(-31)?\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 9:51 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -125\/3. Let s = 44.908 - 31.908. Is s at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-732)\/(-122))\/(6\/32). Solve 0 = 4*s + 12*s - j for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 10:35 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-80)*70*12\/504.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/8)*f**(-2\/3)*f)\/(f**(-2\/7))**(-8\/9))**(7\/9))**(-2\/39) assuming f is positive.\nAnswer: f**(-103\/12636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8892199 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 150274183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 9 - 7 = 2*a, 3*n = 5*a + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-4)\/i)**(3\/10) assuming i is positive.\nAnswer: i**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 3*u**3 + 13*u**2 - 10*u = 0.\nAnswer: -5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -221243022?\nAnswer: 221243023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 13*g**2 + 10*g + 22. Let l be f(-6). Let q be l - (-17 - (-35)\/5). Solve -10 = q*b + 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1584) - (sqrt(1584) + sqrt(1584) + 1) - (sqrt(66)*1)\/sqrt(6)).\nAnswer: -13*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 10. Solve -5*l = 0, l - 4*l = i + h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.2, -2, -3, 0.08?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4205091 and -1.16?\nAnswer: -4877905.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 8 - (-1 - 0) - 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 + 53 + (2 - 3). Let d = -5 + j. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25a77 (base 11) in base 8?\nAnswer: 110557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4210499 is divided by 105262.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7 + 0.4. What is the biggest value in -1\/5, f, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 13*r - 1595280 = 0. Let z = r + -65652. Round z to the nearest 1000.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.275 * 28.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-64)\/(-271606)) + 5. Let m = y - 8498. Find the common denominator of 57\/20 and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -35*t + 16. Let y(i) = -11*i. Give o(y(v)).\nAnswer: 385*v + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7279 (base 13) in base 15?\nAnswer: 4a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*a - 7, 3*y + 13 = 2*a - 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.95913 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 282 - 3145\/11. Suppose -3*o + w + 1249 = -1857, 0 = 4*o - 5*w - 4134. Find the common denominator of q and 4\/12 - o\/(-96).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88*m**3*s**3 + m**3*s + 59*m*s**3 + 3*m wrt m?\nAnswer: 528*m*s**3 + 6*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 9*m - 2*m + (-5*m + 0*m + 4*m)*(-3 + 5 - 4) + 1 - 1 - m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 239, 215, 167, 89, -25, -181?\n\"Answer: -s**3 - 6*s**2 + s + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7946.00701 rounded to 1 dp?\nAnswer: -7946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = 0, 5*w - 155 = -2*a + 85. Suppose -3*f + a = 2*f. Suppose -6 = -2*l + f. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36.49 - -36.19. What is the second smallest value in -1\/14, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 24 = -2*p - t, -5*t + 27 = p. Let k(j) = 50*j - 26*j - 24*j - 2*j**p. Let b(w) = -12*w**2. What is k(b(i))?\nAnswer: -288*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b - 11. Let v(c) = -c - 4. Let m(f) be the third derivative of -f**5\/30 + 3*f**4\/8 - f**3\/6 + 11*f**2. Let a be m(5). Determine a*w(p) + 17*v(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35439 is divided by 2542?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42646, -2\/5, 126 in descending order.\nAnswer: 42646, 126, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7456 + -7439. Suppose 0 = -0*p - p + 4*x + 18, -3*x = p - 4. Suppose 0 = -2*s - 3*s + p. Solve -5*b - t = -s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4 - 2761*j**3 + 77544*j**2 + 6323184*j = 0.\nAnswer: -2788, -36, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 - 1211861790*c - 73430449903100205 = 0 for c.\nAnswer: -121186179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -4*k**3\/3 - 16. Let f(n) = -16*n**2. Give i(f(q)).\nAnswer: -1024*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-5))\/k**7*k**9\/k*k**(-6\/5) assuming k is positive.\nAnswer: k**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa + 54?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33371755 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1491 or 7525?\nAnswer: 7525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1750\/(-105) - (-22 - -6). Let n be 1\/5 + 3\/(-15). What is the nearest to n in 2, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3261, -6897, -10535, -14175?\nAnswer: -17817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36012)\/69 - (-26)\/(-299). Calculate the remainder when (0 + 1)\/((-18)\/p) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -153, -0.14, -37 in ascending order.\nAnswer: -153, -37, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.951 - 0.951. Which is the second biggest value? (a) -2\/3 (b) 3 (c) h (d) 0.3 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/975*5*-15. Solve -3*t + 2*v + 12 = 0, r*t - 2 = -v + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 5)\/(0 - -1). Sort -6, -3, 5, t in ascending order.\nAnswer: -6, -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -17*q**5\/60 + q**4\/24 - q**2. Let k = 106 + -115. Let v be (3\/k)\/(-6*(-2)\/36). Calculate r(v).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -167753 minus 70442.4?\nAnswer: -238195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r - 0*r, 4*a - 240 = -r. Let u = a + -33. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740.8588um to meters.\nAnswer: 0.0007408588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 900, -5018, -14884, -28698, -46460, -68170?\nAnswer: -93828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*j**2 - 39*j**2 + 6*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 19. Let c be z(-5). What is the units digit of 4*10\/c*(1 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = 34 + 336. Is f >= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530953199 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 0.5, 2831, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4346014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-56)\/(-287))\/((-40)\/10)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + -2 + -2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-25)\/30 + 5*(-171)\/270. Let t = -0.4 + 0.1. What is the third biggest value in k, 2\/15, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6*p = -198. Solve 5*d = 5*v + 35, -3*d + d + p = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -74. Calculate the least common multiple of 14 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-4 + 2 + 1 + 5 + -4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1. Let i(j) = 2*j + 22. Determine -4*a(w) + i(w).\nAnswer: 2*w + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 68f8 (base 16) to base 13\nAnswer: c301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -21. Let t(h) = 17. Let i(w) = -4*k(w) - 5*t(w). Let p(o) = o - 9. Calculate 6*i(d) - p(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 + 95. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 3*o + 9. Let n(c) = c - c**3 - 2 + 0*c**3 + 2*c - c**2. Let m be n(2). Is h(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593*h + 730*h - 40000 = -1463*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5120263636 to the nearest integer?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 2*z - 25. What is x(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**2\/5 + 24963*i\/5 + 36558984\/5 = 0.\nAnswer: -6424, -1897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.57951 rounded to 0 dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 118, 143, 178, 223?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*r - 3*r. Let j = -8 - -5. What is the biggest value in r, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + (-55)\/(-2))\/(16\/64) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*o - 15 = -328*o. Solve -o*t + t + 3*d = -15, -2*t + 2*d = -10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1286*x**2 - 131*x - 440. List the prime factors of r(-6).\nAnswer: 2, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*g**4 - 19*g**4 + 25*g**4 + (3*g - 2*g + g)*(-g**3 - 2*g + 2*g) to v*g**3 + i*g**4 + j*g + h*g**2 + m and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/4*((-70)\/(-21))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -69397.64\nAnswer: -69397.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*f + 1957*z - 1955*z, -3*z - 8 = -4*f. Solve -2*x + 4*o - 2 = 0, 7 = 3*o - f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -112688, -112782, -112934, -113144, -113412, -113738, -114122?\n\"Answer: -29*f**2 - 7*f - 112652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + o = -8, 5*b = -o - 2 - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8225497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -103, -156, -229?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**7\/720 - o**6\/80 + o**5\/15 + o**4\/6 + 91*o**2. Let p(f) be the third derivative of t(f). Give p(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-108) + 2\/9. Suppose -4*u = -r*u. Solve 2*k - 4*y - 4 = u, -k - 5*y + 8 = -y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 - -11724\nAnswer: 11724.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = 2*a + 249. Let s(k) = -7*k - 3. What is s(a)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.7428 + -19.6428. Let p = 0.4 + 0. Let m = p - -3.6. Which is the closest to t? (a) 0.3 (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 36 - ((-17 - (13 - 16)) + 13)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-5) - 1*-4. Suppose u*k - 7 = 4*k. What is the second derivative of 7*v**2 + 7*v**2 + 7*v - k*v**2 wrt v?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*sqrt(88)\/sqrt(2))**2 + 5).\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15621244042 - 1495.\nAnswer: -15621245537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 - 85. Which is the second smallest value? (a) 0.5 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5802, -6205, -6564, -6873, -7126?\n\"Answer: p**3 + 16*p**2 - 458*p - 5361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from {e: 1, l: 1, b: 2, a: 2, v: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s = 0. Suppose s = 5*u - 2*u. Let t be (-3 + 5)*(-2)\/4. Sort 3, u, t in descending order.\nAnswer: 3, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (4\/6)\/(38\/2451)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/5, 27, 2, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 4, c: 15}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + 1 - 1 - a**2 + 2*a**2 - 3*a**2 + (4*a - 5*a + 5*a)*(-4 + a + 4))*(-2*a - a**2 + 7*a - 2*a).\nAnswer: -4*a**4 + 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 23*j + 2. Let v(y) = 2*y**2 + 3*y - 2. Let q be v(-3). Is a(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 8, o: 1}. What is prob of picking 2 h?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93)\/(-15) + 212\/265.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4199532450?\nAnswer: 2, 3, 5, 27996883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -136 and 0.668.\nAnswer: -135.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/((-1215)\/(-18)))\/(2\/(-6)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 7*v + 2. Suppose x = 2, -6 + 2 = v*o - 2*x. Solve o = 6*y - 9*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 53, 76, 103, 134?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/7 and 23\/360?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1185, 1186, 1189, 1194?\nAnswer: 1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + 3*x)*(5*x - 4*x + x)*(-2*x**2 - x + x).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36.1 - -37. What is the second biggest value in -5, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2784a - 27?\nAnswer: -27873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*a - 13*a**2 - 41*a - 76*a**2 in the form b + x*a + s*a**2 and give s.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - 36. What is the closest to 0.1 in 2, 7, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1946\/(-556))\/((8\/4)\/(-16)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/14988288 and -163\/1920.\nAnswer: 74941440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0*n**2 + 0 + 15*n - 1\/36*n**3 - 1\/120*n**5 - 1\/36*n**4. Factor p(s).\nAnswer: -s*(s + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * 5\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:01 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*d = -37, -5*i + 7*d + 75 = 4*d. Let u be 4\/i - 1\/3*3. Which is the nearest to u? (a) 2\/3 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*q - 51*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 11. Suppose -b*t - 6 = -m - m, -2*t = 5*m - 15. Suppose -4*f + m*f + 38 = 0. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(7\/(-14)). Let y be (d\/(-3) - 1)\/((-4)\/(-6)). List the prime factors of (2\/(-5))\/(y\/110).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-350)\/140)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-22) - 326\/22)*(-12)\/20\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-5\/6)*q\/q**(5\/2)*q**(10\/3)*q\/(q\/q**(-3\/22)) assuming q is positive.\nAnswer: q**(19\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30756 - 17?\nAnswer: 3073a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.08 and -15627.\nAnswer: -15627.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y = -5*i, -30 = -2*y - 5*i. Let o(f) = 2*f**2 - 4*f - 6. Let c(w) = w**2 - 2*w - 3. Determine y*c(v) - 3*o(v).\nAnswer: -v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5)*s*s**(-3))\/(s**(2\/13)*(s*s\/s**(-8))\/s) assuming s is positive.\nAnswer: s**(-751\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkpkbrqrqkpbpkpbk. What is prob of picking 1 b and 1 p?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 2*b**3\/3 - 6*b**2 + 25*b. Let l be p(3). Let a be (-45)\/135 - (l + (-2)\/(-3)). What is the closest to -0.1 in a, -4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68 (base 10) to base 4\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxbp when four letters picked without replacement from xlxbxzp?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 12:37 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 358 - -500546?\nAnswer: 501015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1766123 to 3 decimal places.\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 647*d + 9073. Determine s(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**3 - 4*a**2 + 7*a - 3. Let b(j) = -3*j**3 + 3*j**2 - 6*j + 3. Let c(v) = 6*b(v) + 5*y(v). Let s be c(2). Is s at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a**2 - 1. Let m be b(-1). Let g(p) = p**3 + 17*p**2 + 17*p + 19. Let l be g(m). Solve r - l = -1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.219266 + 53.\nAnswer: 53.219266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.53 in -1, 3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -23*c**5\/60 - 7*c**3\/3 - 7*c**2. What is the first derivative of p(j) wrt j?\nAnswer: -46*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307 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: Rearrange (41 + 37 + 21)*(-30*r - 31065 + 31065) to the form f*r + s and give f.\nAnswer: -2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1279 + -1272.09. Let d = 1.08 - b. What is d rounded to one dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4 - -2)*22. Suppose -4*i = -9*i + 10. Let y(v) = -2*v - v**i - 3 + 0 + 3 - 2. Let o(m) = -6*m**2 - 11*m - 11. Calculate u*y(x) + 4*o(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 17.1. Which is the nearest to f? (a) 2 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17954569 or 1\/4?\nAnswer: -17954569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 6*z. Suppose j + 0*j = z. Suppose -4 = -4*f + 4. Which is bigger: j or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2851 or 7101?\nAnswer: 2851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*g**3 - 2*g**2 - 167*g.\nAnswer: 366*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 2, 1, 4, -105, -2 in descending order.\nAnswer: 4, 2, 1, 1\/8, -2, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 3*k**2 - 11*k + 30. Let w be c(4). Suppose -9*y = w*y - 22. Suppose 2*m + 5*p - 65 = 21, -m - y*p = -41. Is 33 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -2*o**3\/3 - 25*o**2\/2 + 4*o + 23. Let v be k(-13). Does 8 divide 4\/(-5)*(-39 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + -1)\/4*-2. Let j be 26\/(-12) - 3\/y. Which is smaller: -1.2 or j?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/11 + 34*a\/11 + 36\/11.\nAnswer: -2*(a - 18)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -9*d**2 + 4*d + 5. Give g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 13*g - 7. Let u be j(-5). Let w(i) be the first derivative of -1\/3*i**3 + 3*i + 2*i**2 - 1\/2*i**4 - u. Calculate w(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 152*z - 56. Let f(a) = 8*a - 3. Let u(x) = 8*x + 16. Let b be u(-9). Let t(q) = b*f(q) + 3*i(q). Let r(d) = 3*d**2 - 3*d**2 + 2*d**2. Give r(t(m)).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**8\/3024 + c**7\/1890 + c**6\/540 - c**5\/270 - c**4\/216 + c**3\/54 - 8*c**2. Factor l(n).\nAnswer: -(n - 1)**3*(n + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 455958 and 48.\nAnswer: 3647664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s + s - 11*s**2 + 9*s**2. Let v(l) = -6*l + 7*l + 5*l**2 - 6*l**2. Calculate 4*q(h) - 4*v(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8439089 and 7225.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*t - 206*t - 259*t + 639*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4864.\nAnswer: 14592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2196 + 625516*u**2 + 7*u**3 - 324 - 2*u**3 + 3790*u - 626791*u**2.\nAnswer: 5*(u - 252)*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + 2*i - 2 + 16*i**3 - 4 - 18*i**3 + (53*i**3 + 98*i**3 - 92*i**3)*(-5*i + 0*i + 4*i) - 1 + 2*i**4 + 1.\nAnswer: -55*i**4 - 2*i**3 + 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, o: 2, u: 2, s: 2, v: 6, w: 1}. What is prob of picking 1 e, 2 v, and 1 u?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-80))\/(10\/(-80)). Put v, -70, 0 in increasing order.\nAnswer: -70, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(1 + 0) - 1\/(-1). List the prime factors of 2 - 0*u\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3000 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**2 - 67*h**2 + 944*h - 944*h + 66*h**2 + 12*h**2.\nAnswer: 34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*o + 207, 20*o - 3*z + 201 = 23*o. Let m be 5 + (-2)\/(-3 + o\/20). Put -3, 2, m, 5 in descending order.\nAnswer: 5, 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (32 - 16) - (-15 - (3 + -1)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**2*n + 358636*m*n - 2*m + 2443*n + 392 with respect to m.\nAnswer: -2*m*n + 358636*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 7, -33, -109, -233, -417, -673?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(833))**2 - (sqrt(68) + -3 - sqrt(68)))*-1 + -4.\nAnswer: -20832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2140.0156 to zero decimal places.\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*x + 125, -4*x - 65 = -p - 15. Calculate the remainder when p is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*l - 281*l = -243 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -15568260477.\nAnswer: -15568260477.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-802 - y + 1435 - 813)*(2 - 2 + 2)*(17 + y**2 - 17).\nAnswer: -2*y**3 - 360*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -906100, -1812209, -2718318, -3624427, -4530536, -5436645?\nAnswer: -6342754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (2 - -1)) + 9 - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 3:56 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 7. Let f be k(36). What is the second smallest value in -2\/7, f, 1, 5, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -12. Let z = -17 + g. What is k in z*k + 10 + 2*k**2 - 12 - 4*k + 2*k**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*b**3*f - 2*b**2*f**3 - 2*b**2*f + 2*b*f**2 - 9*b*f - f**3 wrt b?\nAnswer: -78*b*f - 4*f**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 + 14*g**3 + 55*g**3.\nAnswer: 77*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101.7 - 109.7. Which is bigger: r or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 11) to base 9.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 94\/4*(-16)\/(-40). Let l = 10 - h. What is the closest to -1 in l, -1\/3, -2.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 15*z**2 + 7*z + 119. What is the tens digit of n(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131301593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2 - 2452*w - 4920 = 0. What is w?\nAnswer: -2, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0.01, 9, 0.1466?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 0.64 (b) -3 (c) -3\/2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13039.70904 - 13040. What is g rounded to three dps?\nAnswer: -0.291","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5*t + 3. What is p(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.5 (b) 241 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.188?\nAnswer: -0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*c + 1 + 45 - 16 - 19 - 11.\nAnswer: -67*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34879 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/30*-29*33\/(-957).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1194019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184798826 to the power of 1\/3, to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*i**2 - 208*i**2 - 237*i**2 - 203*i**2 + 1046*i**2 - 196*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*5\/(-12)*-14*1\/665\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -78, -155, -262, -399, -566, -763?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9527838 smaller than 9527838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 130247173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 199486, 398397, 597328, 796285, 995274?\n\"Answer: c**3 + 4*c**2 + 198892*c + 589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 214\/77 - 8\/7. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + 4 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k - 21*k + 23*k)*(4 - 4 + 2).\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120012103 - 3?\nAnswer: 120012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((4658\/102 - 58) + 1*10)*-12\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/255*(1 - 9\/((-45)\/40)). Is s at least 1\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 34*n + 23. Let y be r(-1). Sort y, -5, -4 in descending order.\nAnswer: -4, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1514360 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2642, -5286, -7930, -10574?\nAnswer: -13218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*z + z, -d + 10 = z. Let r(a) be the first derivative of 0*a + 0*a**3 + 0*a**2 + 1\/2*a**4 - 1\/6*a**d - 1\/5*a**5 - 3. Factor r(v).\nAnswer: -v**3*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 - 32*u - 20. Give y(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32720)\/(-7771)*(-266)\/196?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by -102?\nAnswer: -9\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*h - 511 = 36*h + 379 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -x + 2, -d = 3*x + x - 3. Let y = x - 5. Let b be (-2*3)\/(6\/y). Solve -15 = 4*a - h, b*h = -3*a + 2*h - 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1413111\/28*(-2)\/15. Let d = k + 6718. What is the common denominator of 33\/14 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-3)\/((-9)\/(-3)). Suppose -24 - t = -2*p. Suppose 0 = 5*v - 4*v - 5*l - p, 3*v + 5*l - 2 = 0. Which is the biggest value? (a) v (b) 2\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*g + 45*g + 312996 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 - 4*m**2 + 6*m. What are the prime factors of b(3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4158782, -4158780, -4158776, -4158770, -4158762, -4158752?\n\"Answer: c**2 - c - 4158782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - u + 2. Calculate the smallest common multiple of (-26 - (11 - 40))*(-2)\/(-1) - (-3 + -31) and o(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t + 8. Let j(k) = -5*k - 9. Let r = 21 - 19. Suppose -7*a + r*a = 30. Let z(g) = a*u(g) - 5*j(g). Calculate z(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0*j + 0*j + 3*j**3) + (j**3 - 5*j**3 + 5*j**3)*(3 - 1 - 1).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(70\/(-49)*-7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 16 - 2. Suppose 5*s**3 - 20*s**3 - 3*s**5 + 6*s**2 + q + 12*s**4 - 9 = 0. Calculate s.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -0.5. Let s = 1.5 + i. Suppose 0 = 3*o - 2*r + 1, 5*r = -5*o + o + 14. Which is the second biggest value? (a) o (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 17. Let m = h - 2. Suppose -5*z + z - 12 = 0. Which is the nearest to -1? (a) z (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1542.447ug to nanograms.\nAnswer: 1542447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 758, 2891, 6484, 11567, 18170, 26323?\nAnswer: 36056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 140 = -5*v + 13*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1652.00481 to the nearest 10.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-12))\/(15\/5)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = h + 6 - 22, g - h = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -49. Suppose -128 + i = -2*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45360 and 9800.\nAnswer: 1587600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 108 + -4 - (-3914 - -3929).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78004328 and 204761361.\nAnswer: 1638090888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 7 = 40*h + 2*g, h = g - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-6)*(1 + 14). Let n(k) = k**3 + 2*k**2 + k - 1. Let i be n(-2). Let d = q + i. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 1 - (-1 + -304). Let h be -4 - 42\/(-10) - 5\/25. Suppose 0*j - 29 = -k + 5*j, 2*k + 4*j - 72 = h. Calculate the highest common divisor of f and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*b - 468 + 628 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m + 2. Let g be b(-2). What are the prime factors of 98 + (-1 + 17)\/g?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3454 is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218516 divided by 4.\nAnswer: 54629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*18 - (10 + -10 + -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115854 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 487, 485, 469, 433, 371?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(24)\/(sqrt(12)\/sqrt(3) + sqrt(4)))\/(sqrt(363) - (sqrt(363)*-1 - sqrt(363))).\nAnswer: -sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.032 and -4.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 21 - 4 - (6 - -21 - 5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*p - 559*a**2 + a*p**3 - 2*a + 6*p**2 - p - 1 wrt p.\nAnswer: a**2 + 3*a*p**2 + 12*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/90)\/((12\/(-50))\/((-296)\/(-740)))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -50. Suppose -3*o - 5*n = -34, -2*o - 4*n + f = 6. Suppose -4 = -j + o. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/3 + 3*v**2 + 6*v - 306. Determine b(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 12 + (-14 - (7 - (-5 + 61))).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1761699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30898459?\nAnswer: 2797, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*i**2 + 9*i - 253*i**2 - 9*i.\nAnswer: -596*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 + -34. Let h = -53 - s. Let p = -30 - -40. Solve -4*u - h = p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 245367.9 decades?\nAnswer: 2453.679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 24*q**2 - 38*q - 59. What is a(-25)?\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*s + 4875 = -283*s + 140*s. Calculate the highest common factor of 1716 and s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 5*u**2 - 4*u**2)*(0*u - u - u) - 80654*u**3 - 40688*u**3 + 7 - 345*u**3 - 7 - 10101*u**3.\nAnswer: -131792*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2. Let j(o) = -2*o**2 + 4. Suppose -4 = -2*i + 3*i. Let l(h) = -297*h + 5*h**2 + 297*h - 9. Let w(u) = i*l(u) - 9*j(u). Calculate f(w(q)).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**8\/336 - 977*h**7\/35 + h**5\/30 - 1121*h**3 + 28*h**2 - 123. What is the third derivative of m(z) wrt z?\nAnswer: -60*z**2 - 140688*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f + 509. Let i(q) = 6*q - 255. Let y(x) = -6*b(x) - 13*i(x). What is the tens digit of y(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002876401 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -24. Sort x, -0.4, -0.5.\nAnswer: x, -0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 5 = 4*k + 7, 2*k = 4*m. What is the closest to m in -0.3, -2, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -148, -231, -318?\nAnswer: -409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 633600 + -1081600. Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 112*l**2 + 41*l**2 + 71*l**2.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/493608 and -67\/65940.\nAnswer: 17276280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(2\/3))\/h)**(31\/5)*h\/(h\/((((h\/(h**0\/h))\/h)\/h)\/h*h))*(h**8*h)\/h*h**(-3)*h*h*h**(4\/3)*((h\/h**1)\/h)**(-4) assuming h is positive.\nAnswer: h**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264762 is divided by 52951?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41412 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyfafyyfyffyayfy. Give prob of sequence af.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 168, 234, 280, 300, 288, 238?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104080 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12745*o - 12683*o = 23722502. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, 5167, 0, -4.\nAnswer: -5, -4, 0, 2, 3, 5167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 2) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*-2*sqrt(847) + 4 + -5 + sqrt(847) + 0 + 0)**2.\nAnswer: 726*sqrt(7) + 307464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8920 - 6568. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.36 and -2.5.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwvzwzwvwwwwwwwww. What is prob of sequence wvwz?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127505 - 152437. Let v = -134006 - g. Let y = v + -375936. Round y to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8924*-0.04137.\nAnswer: 369.18588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*r - 4)*(2*r - 3*r + 4*r).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Let i(g) = 4*g**2 + 7*g + 8. Let c(t) = t**2 + t + 1. Let s(m) = -3*c(m) + i(m). Does 16 divide s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5872 = -7*u + 23*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 133*y + 176 = 6*u - 283, 3*u = -2*y + 54 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 8*o + 17 = 5*o + 8*o, 5*a = 4*o + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 289011 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -257 - -256.752. Let h = q - -0.448. What is the third biggest value in h, 4, 3\/2, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*o + 30 = 0, 3*o - 27 + 7 = -l. Let d be l*(306\/(-10))\/(-3). Suppose 5*j + 5*y = 75, -3*j - 6 = -3*y - d. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.11397173 rounded to zero dps?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2508327509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 + p**3\/3 + p**2\/2 + 42. Let l(d) = -5*d**3 + 3*d**2 + 4*d - 1. Give l(a) - 3*u(a).\nAnswer: -2*a**3 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4 = 4*j. Suppose -j*a + 18 = a. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164489.61us to minutes.\nAnswer: 0.0027414935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329337 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537\/365870 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 157?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 129 - 39. Let t be u\/(-105) - 12\/(-7). Suppose j + 4*n - 1493 = 0, 5*j - t*n + n = 7381. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**2 + 2*z - 48 = 0?\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -623*t**3 - 24*t**2 - 97*t. Let p(k) = 2491*k**3 + 92*k**2 + 387*k. Let w(o) = -6*p(o) - 23*v(o). What is the second derivative of w(r) wrt r?\nAnswer: -3702*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 10. Calculate the lowest common multiple of 16 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 90 and 68560.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 59. Let w = o - 25. Suppose 24 = -2*n + 6*n. Calculate the remainder when w is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)\/(sqrt(9)\/sqrt(3)))\/(sqrt(2)*1*3))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + j - 0*j - 6, 4*q - 3*j + 12 = 0. Sort 1\/13, q, -4.\nAnswer: -4, q, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22796138 is divided by 28248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/6 - 2*s**4\/3 - s**3\/3 + 4*s**2\/3 + s\/6 - 2\/3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10640 - 10636. Let g(r) be the third derivative of 0 + 8*r**2 + 3\/2*r**f + 0*r + 0*r**3. Let b(n) = 2*n**2. Give b(g(s)).\nAnswer: 2592*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 3) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*h - 5, 4*g - 14 = -h - g. Let o(f) = -9*f**3 - f**2 - f. Let s be o(h). Solve 0 = -5*u + 24 - s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-6)\/8)\/((-483)\/184). Which is the nearest to 36? (a) 4 (b) u (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2873229902?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-4))\/((-3)\/6). Let n = -5.3 + 2.3. Which is smaller: v or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 12*r**2 + 21*r + 13. Let h = -20 - -10. What is the remainder when 11 is divided by u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/16*(-12)\/9. Suppose m + m + 2 = 3*l, -t*m + 21 = -l. Calculate the least common multiple of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1559 - 29619\/19. Let s = -6.9 + 6.61. Let n = 0.2 + s. Sort g, -1, n in descending order.\nAnswer: g, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -478*c - 1130*c**2 - 566*c**2 + 200*c**2 wrt c.\nAnswer: -2992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*m**5 - 181*m**4 + 181*m**4 + (m**2 - m**2 + m**2)*(0*m**3 + 0*m**3 + m**3) + 6*m**5 - 47*m**5 - 39*m**5.\nAnswer: -53*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20143137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 8:25 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 11*v**2 + 12*v + 11. What is d(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(833) + sqrt(833) + -2 + sqrt(833) + 1)**2.\nAnswer: -42*sqrt(17) + 7499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 11695?\nAnswer: -11693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 49*u**2. Suppose -16*g + 5612 = 7*g. Let a(r) = 119 - g + r + 125. What is a(c(m))?\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387*t - 39 = 3*j + 383*t, 0 = 2*j + 5*t + 3. Let u(x) = -4*x - 42. Let g(i) = -2*i - 21. Let h(o) = 13*g(o) - 6*u(o). Give h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 6 = 3*n. Suppose -5*t + 75 = -5*w, 2 = w + n. Calculate the highest common divisor of 25 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 4*s**2 + 11*s + 5. Let x(u) = u**3 - 5*u**2 - 10*u - 4. Let h(q) = -2*t(q) - 3*x(q). Suppose w = 4*w - 24. What is the units digit of h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(-3\/2)\/l)\/l)\/l*l**(-1))**37)**49 assuming l is positive.\nAnswer: l**(-19943\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 2:20 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 29*r**4 + 212*r**3 + 140*r**2 - 2352*r.\nAnswer: r*(r - 14)**2*(r - 4)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 25*b - 35. Let j be n(6). Let o = j + 271. Suppose 4*t + 2*q = 372, 6*t = 2*t + 5*q + o. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w**3 - w**2 + 2*w - 1. What is the remainder when 5\/(75\/805) + (-10)\/6 is divided by t(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/4190 and -23\/10056?\nAnswer: 50280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 98805, 4, 2, -5, -3.\nAnswer: -6, -5, -3, 2, 4, 98805","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 7 (b) -3 (c) 0.5 (d) 0.157 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3, 2819\/3323, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24563 + 34603. List the prime factors of k.\nAnswer: 2, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 66 = -t - 5*t, -1899*z + 1898*z + 13 = t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 9. Let i = j - -2.03. Let n = 0.27 + i. Put -2, 0, n in decreasing order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 639 - 429. Let c be -3*4\/j*-7. What is the closest to c in 3\/4, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 23, -1, 4, -4 in increasing order.\nAnswer: -4, -1, 1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2045*p**4\/4 - 85889*p**3\/4 - 689207*p**2\/4 - 601567*p\/4 - 147\/2 = 0.\nAnswer: -6, -1, -1\/2045, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.39 + -0.69. What is the second smallest value in 0.3, n, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31034 (base 7) to base 5\nAnswer: 220241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -333*o**2. Let a(t) = t**2. Determine a(h(z)).\nAnswer: 110889*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*m + 6 = -3*q, 0 = 4*q - m - 12. Suppose q*g - 95 = -5. Calculate the remainder when g is divided by (-7)\/((-175)\/20)*20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f**2 + 7*f - 5. Suppose -3*p - 25 = r, 0 = 4*r + 3*p + 71 - 34. Let l(s) = -3*s**2 + 4*s - 3. What is r*b(y) + 7*l(y)?\nAnswer: 3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, s: 2, p: 5}. Give prob of sequence ppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-17 + 21)) + 5 - (2 + 29)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g**2 - 2*g - 2. Suppose h + 5*s = 3*h + 19, 4*s = 2*h + 16. Determine r(h).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h - 12 - 2 + 4 + 3 as k + p*h and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*l**2*m**4*q + 2*l**2*m**3 - 3*l**2*m*q - l**2*m - 12*l**2*q + m**2 wrt m?\nAnswer: -312*l**2*m*q + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -29*i + 1301. Let k be v(45). Sort 129, k, 0 in descending order.\nAnswer: 129, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - 3. Let g = 0.2 + w. Let u = 0.71 + -0.11. What is the closest to 0 in g, u, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/((12\/21)\/(-2)). Suppose -5*j + q = -68, 0*q - 5*q = -j + 4. Let o = j - 7. Calculate the greatest common factor of v and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 15 = 4*i - 1, 0 = p + 5*i + 18. Let j be 63\/42*4\/7*(-42)\/(-9). Solve -p + j = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098689869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-89 - -102) + 102\/(-8). What is the nearest to -82\/5 in 0.5, -1\/3, i?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 38, 45, 52?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.102 - 0.362. Let m = g - 0.04. Let z = m + -6. What is z rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shs when three letters picked without replacement from sshsh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 1. Let y be s(-1). Let o = -3132 + 3134. Suppose 3*a - 3*h = 4 + 2, -a - y*h = -o. Let p(d) = 6*d - 1. Let z(u) = u. Calculate a*p(k) - 14*z(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*j - 16, -2*j = -4*v - 0 + 26. Let i(k) = k - 2. Let y(w) = 1. Calculate v*y(u) + i(u).\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/10)\/((-3)\/(-24)). Let q = 39 - j. Calculate the remainder when 10 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**2 + 10*q + 34. Let a(x) = 7*x**2 + 11*x + 34. Let o(j) = 2*a(j) - 3*d(j). Differentiate o(u) wrt u.\nAnswer: -8*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-222)\/(-18) - 1989\/153?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c2 - 7?\nAnswer: -8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**3\/3 - d**2\/2 - 7. Let j be g(0). Suppose -2*a - 4*m + 7*m + 82 = 0, a + 4*m - 41 = j. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29172022 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 9:38 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(2\/41)*p**(-1\/3)*(p*p\/((p\/p**(-8\/7))\/p)*p)\/p assuming p is positive.\nAnswer: p**(367\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a. Let g(j) = -3*j. Let r(f) = 2*g(f) + 9*u(f). Let t(s) = 13*s - 9. Let o(y) = -6*y + 4. Let k(l) = 9*o(l) + 4*t(l). What is k(r(x))?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101110 + -1?\nAnswer: 100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -1, 0, -3 in descending order.\nAnswer: 0, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -635*h**2 + 1260*h**2 + 1705*h**2 to t*h + w + i*h**2 and give i.\nAnswer: 2330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p = 23 + 62 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 115*k**2 - 1. What is the tens digit of c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -76\/41 (c) -5\/3 (d) -2\/11 (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23409066 by -1.\nAnswer: 23409066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -5*l - 10, y = 2*l + 8. Let d(g) = -120*g - 2. Let f be d(-2). Let i be (-2)\/(-3) - f\/(-21). Solve -i = -4*k, -5*z - 4*k + 3 = -y for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 4 = 4*y - 5*d, -26 = -5*y + 3*d. Suppose -6*b + y*b = -10. What is the remainder when 23 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 4*q + 1039, 4*i - 14*q = -19*q + 823. Calculate the remainder when 290 is divided by i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/54*2\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4784 + 4789. Solve c = h*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 253 = 5*s, -4*n = -371*s + 373*s + 98 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*j - 16*j + 40*j - 147 in the form d*j + r and give r.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-48)\/(-4))*(-12)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 61 = -563. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 8. Let q be (490\/1)\/((-2)\/s). Let h = 13280\/9 + q. Find the common denominator of h and -55\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -10833*r**2. Let w(q) = 4170*q + 1. Calculate w(s(l)).\nAnswer: -45173610*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-4))\/(8\/(-16)). Suppose -4*p = -p - w. Suppose -3*c + 368 - 71 = -p*j, -198 = -2*c + 5*j. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*-523.\nAnswer: 12029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21198.\nAnswer: 2, 3, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41960 divided by 8392.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48813551.\nAnswer: 48813551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384393.\nAnswer: 3, 37, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 927 and 12.\nAnswer: 3708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -36*h + 11. Let t(u) = -7*u + 2. Suppose b - 2*b = -5*j + 42, -3*j = 4*b - 39. Suppose -p + j*p = 208. Let o = p + -37. Give o*t(n) + 2*s(n).\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1617178 + 2.\nAnswer: 1617180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c - 235. Give y(-39).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**5\/20 - 3*d**4\/16 - d**3\/12 + 3*d**2\/8 + d\/2 - 16. Determine h so that w(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24577, -24555, -24533?\nAnswer: -24511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/60 + 25*o**4\/24 + 24*o**3 - 951*o**2. Determine g so that a(g) = 0.\nAnswer: -16, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**3 + 2*p**2 + 2*p. Suppose -4*k = 6*k + 20. Let c(r) = 16*r**3 + 10*r**2 + 11*r. Let d(n) = k*c(n) + 11*h(n). Let d(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 6. Let u = 57 + -37. What is the least common multiple of c(5) and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2408 by -28.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 226\/8 - -6*6\/(-144). Calculate the highest common divisor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4044 and 127\/336.\nAnswer: 113232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwwfwffww. What is prob of picking 1 f, 1 h, and 1 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 98 = 53*d - 29*d for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 4. Suppose 0 = -z + 64 + 10. Suppose -76 = 25*t + z. What is j(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 617 and 542 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**3 - 66*c**2 - 10*c - 341. What are the prime factors of t(-36)?\nAnswer: 17, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -221 and 28750.\nAnswer: -6353750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1844200846.\nAnswer: 2, 419, 2200717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u - 12 + u**2 + 10*u**2 - 13*u. Is a(5) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q + 3. Let v(f) be the first derivative of f**2\/2 + f + 58. What is -2*s(y) + 5*v(y)?\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hddhhhdhhhhhhdhhhh. What is prob of picking 4 d?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29*p**2*x**2 - 3*p**2 + 3*p*x**2 + 2*p*x - 20 with respect to x.\nAnswer: 58*p**2*x + 6*p*x + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512431 (base 6) to base 3.\nAnswer: -2001221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 7:00 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15054 and 534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1661 - 3390 - 1850*m + 1731 to s + c*m and give c.\nAnswer: -1850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 152 and 3676348?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3414788, -6829583, -10244378?\nAnswer: -13659173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.0988 + 0.0988. What is the closest to 0.6 in b, -0.4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125462045 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(26\/7)*g)\/g*g*g*g**(7\/11)\/g*g*g)**(-14) assuming g is positive.\nAnswer: g**(-1132\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 1. Let n(m) = 9*m - 3. Let z(x) = -6*g(x) + 2*n(x). Let w(c) = -2*c + 14. Let q be w(-2). Let r(y) = 46 - q - 28 - y**2. Give r(z(h)).\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/4 - (11 + -3). Put h, -24, 1 in descending order.\nAnswer: 1, h, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/5*y**3 + 16\/5 - 4\/5*y**4 - 12\/5*y**2 + 16\/5*y = 0. What is y?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -5, 3, -4, -9 in ascending order.\nAnswer: -9, -5, -4, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - (-2)\/(-4). Suppose -4*b + b + 6 = j. Put 1, 0, b in descending order.\nAnswer: b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 9*h - 12 = 4*a, -5*h = 5*a + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3))**(-6)*((g*g**0*g)\/g)**(-9))\/((g\/g**(-1\/2))**30*g**8\/g*(g\/(g*g**(1\/4)\/g))\/g) assuming g is positive.\nAnswer: g**(-235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 701*v**3\/3 + 75*v - 40. What is the derivative of t(m) wrt m?\nAnswer: 1402*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11*6\/((-2)\/(-1)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77640 or -77964?\nAnswer: -77964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49405225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Round -10667238370 to the nearest 1000000.\nAnswer: -10667000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 0.1, -5\/3, -9, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2516, -2513, -2510, -2507, -2504, -2501?\n\"Answer: 3*n - 2519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 7. What is v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, u: 16}. Give prob of picking 1 u and 3 r.\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2822*s + 483*s**2 - 1405*s - 1417*s - 26*s**2.\nAnswer: 457*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j. Let s(k) = -207*k. Give s(q(b)).\nAnswer: 621*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 510\/(-75) + (60 - 53).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2642081.23100111 + 2642081.1. Let k = 0.131 + f. Round k to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**2 + 38*k - 118. Give s(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/7))**(7\/5)*(b*b\/b**(-1\/28))\/b**(-19) assuming b is positive.\nAnswer: b**(2973\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**3 + 7*y**2 - 20*y + 60. Let v be q(4). Is -228 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g + 0 - 6*g**2 - 3 - 2*g. Let v be 2\/(-3)*819\/(-78). Let x(i) = 36 - 34 + i**2 + v*i**2 - 4*i**2 - 7*i. Give -5*o(l) - 8*x(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) + (3359934\/(-15) - 4). What is d rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 14*d + 5*b + 54840 = 0, 3*d = 4*b + 32900. Is d a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117740862 divided by -1?\nAnswer: -117740862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*i + 39*i. Let d be (-42)\/15 - (-2)\/(-10). Let w be (-7)\/d + 4\/6. Sort i, w, -3 in descending order.\nAnswer: w, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -2. Let d = -41 - -42. What is the smallest value in s, d, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 16*t**2 + 14*t + 814. Let x be d(-26). What is the highest common divisor of 140 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 4*g - 621 = 0, 5*p - 5*g + 33 = 663. Calculate the remainder when p is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*m**3 - 8656*m**3 - 1833*m**3 - 5698*m**3.\nAnswer: -16796*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81266088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 814*q**2 - 1632*q**2 - 43*q + 858*q**2 + 1672 with respect to q.\nAnswer: 80*q - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -172*i - 2 + 406*i + 267*i + 61*i as r*i + l and give r.\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 10. Suppose -3*x + 5 = s*x. Solve 2 = -3*d - x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of 43*h**6\/120 + 31*h**3\/6 - 66*h**2. What is the first derivative of u(b) wrt b?\nAnswer: 129*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2116 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/30)\/((-8)\/(-40)). Let b be -41 + ((-12)\/3)\/4. Which is bigger: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 467027 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n. Let z(s) = s - 1. What is -5*y(g) + 5*z(g)?\nAnswer: -20*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 5*y - 14. List the prime factors of m(13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2199593885 and 2531.\nAnswer: 2199596416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019 less than 1.1?\nAnswer: -1017.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4\/19 + 2*l**3\/19 - 2*l**2\/19 - 2*l\/19.\nAnswer: 2*l*(l - 1)*(l + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (0 - 1)*-3. Suppose 15 = 4*m - 5, 1 = h - j*m. Let w = -3 + 4. What is the highest common divisor of w and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**7\/105 + 43*l**3\/6 - 2*l**2 - 12. Differentiate q(a) wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 27, 400?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2768756 and 24548?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3777*c**2 - 3*c + c + 390*c**2 + 2*c.\nAnswer: 4167*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 57*(4 + 770\/(-209))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-33))\/((1950\/12441)\/25)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3 = 7. Suppose 47 = -r*n - 105. Let l = n + 129. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.98 + -0.18. Let p = x + -2. Let g = -4.8 + p. Which is the nearest to -1\/4? (a) -4 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:18 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*j - 3531 = 0, -3*g - 5*j = -1147 - 2374. Suppose -8*v + g = -58. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c = -1703 - 205. Does 159 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*j**2 - 4*j + 16*j**2 + 6*j**2 + 26*j**2 + 161 - 7*j**2 wrt j?\nAnswer: 70*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-1)*15\/(-3). Suppose -15 = -0*u - 3*u. What is the remainder when 10*(d\/4)\/u is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2635, -4363, -4233, -1315, 5321, 16605, 33467, 56837?\nAnswer: 87645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26549 is divided by 44?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5520324 and 4923?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 17. Let x be k(-6). Suppose -w - 20 - 25 = -j, -x*j + 2*w + 219 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7948 + 1984 + 1990 + 1985 + 1989 + 26*h**3.\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 4*r - 11. What is h(8)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 - s**4\/2 - 4*s**3\/3 - s**2 + 4*s. Let w be l(-4). What is the units digit of (8\/24)\/((-322)\/162 - w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -19*n + 25*n. Is n greater than or equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13156794*o**4*q + 2*o**3*q + o*q + 5*o - 24990*q - 9 wrt o?\nAnswer: 157881528*o**2*q + 12*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30628.41937 and 0.6519?\nAnswer: 30627.76747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-6) - (-3 + -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(35) - (sqrt(35) - (sqrt(2835)*1 + sqrt(2835))))\/sqrt(5))**2.\nAnswer: 36*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93*p**4 - 3*p**3 - 6044 with respect to p.\nAnswer: -372*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-7)*10\/(-15). Let n = -512\/17 + 30. Put 0, n, o in decreasing order.\nAnswer: o, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 - 3*y - y**2 - 3*y**3 - y**3 - 3*y**3 to h*y**4 + o*y**2 + j*y + p + a*y**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1457 (b) -0.4 (c) -0.191 (d) 2\/53 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 4*u - 14 = 0. Solve -5*b + 4*x + 10 = 2*x, b - u*x - 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 21*b**3 - 3*b**2 - 104*b**4 + 0*b**2 + 38*b**4 + 54*b**4 + 3*b.\nAnswer: -3*b*(b + 1)**2*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27864*l**3*z - 2*l**2 - 29*l*z - 31*z + 2 wrt l.\nAnswer: 167184*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, e: 6, b: 4, j: 1}. Give prob of picking 1 e, 1 b, and 1 k.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 378916690.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/50)\/(2\/(-130)). Calculate the greatest common divisor of c and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 - 1. Suppose 2*z = -z + 18. Let f(n) = -11*n**2 + 2. Let h(j) = z*f(j) + 13*g(j). Let o be h(0). Let w(k) = 2*k**3 + k**2. Calculate w(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 6 = 4. Solve n*i = -3*z + 7, 4*z + 0*i = 2*i + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 90*o**2 + 24*o - 11. Suppose 0 = -2*z - 1 + 9. Let g(t) = t**2 + 2*t - 2. Let v(l) = z*g(l) - a(l). Find the second derivative of v(u) wrt u.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2, s - 2 - 3 = -i. Let n be 2*(-39)\/s - -3. Let x = 0 - n. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**3 - 8*w**2 - 6*w - 17. Let u be z(-7). Suppose 4*l - 1681 = a, -5*l + u = 3*a - 1418. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 5*r = 3, -5*r = 4*o - 13. Suppose -o*j + 30 = 26. Suppose 0 = -3*a - 0*y + j*y + 217, 2*y = -4*a + 294. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1103 by 21.\nAnswer: -1103\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1664*i + 1684*i = 140. Calculate the remainder when 293 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + w - 16, 5*k - 31 = -w - 3*w. Suppose 4*z - 27 + k = 0. Let j(o) = 7*o + z + o**2 - o + o. What is j(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 2, f: 6, w: 1, n: 7}. What is prob of picking 2 u and 1 d?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/3 (c) 3\/4 (d) -3\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99797?\nAnswer: 23, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/60 - (-8)\/15. What is the nearest to s in 0.2, 5, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:13 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 102936819*m**3 + 82*m**2 - 18585*m - 2?\nAnswer: 617620914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -12, -22, -34, -48, -64?\n\"Answer: -f**2 - 5*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -39*f - 214. Let d be v(-6). What is the highest common factor of 160 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506849?\nAnswer: 83, 30203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*o - 14, 4*k + 3*o + 67 = 21. Let b(v) = v**3 + 10*v**2 - 10*v - 9. Let p be b(k). Is 8 a factor of -4*(p\/4)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4129*y - 1375. Is v(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 = 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -83. Suppose 0 = n*q - 18*q - 35. Solve -l + 14 = l + 3*a, -q*l + 25 = 5*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -15, -39, -73, -117?\n\"Answer: -5*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**4 + 6864*p**3 + 54824*p**2 + 136992*p + 109568 = 0?\nAnswer: -3424, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 57 = -117. Suppose -2289 = -r*b - 147. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 3*h**2 - 16)*(h**2 - h**2 - 3*h**3) - 1 + 1 + h**5 + (h**2 + 2*h**2 - 4*h**2)*(4*h + 2*h**3 - 4*h).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 23*o + 34. Let c(g) = -g - 1. Let p(b) = 2*b + 2. What is o*c(y) - 6*p(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, s: 2}. Give prob of sequence gssg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.9 - 7. Which is the second smallest value? (a) r (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 3700*u**2 - 279105*u.\nAnswer: 5*u*(u - 809)*(u + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-81)*(-1 + 1). Solve i = -2*u - 38 + 46 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5040) + -2*sqrt(5040)))\/(sqrt(35)\/((-2*sqrt(63))\/sqrt(9))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3354 is divided by 667?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6287, 6318, 6371, 6446, 6543, 6662?\nAnswer: 6803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 180?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -k, -p - k = 2*p - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1582*q**3 + 1672 wrt q.\nAnswer: 4746*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2 - 16*w. Let x be b(-8). Suppose -3*v - 3 = 3*z - 36, -41 = -4*z - v. Suppose 0 = -2*o - z. Put x, o, -1 in descending order.\nAnswer: x, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3 - 4 + 3 - 1 + (1 + 0 + 1)*(-1 + 0 + 2))*(-2*i**2 + 0*i**2 + i**2)*(-3*i + 27*i + 18*i).\nAnswer: 84*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 127629846 a multiple of 1893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 8 = 7*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 349.3312ml?\nAnswer: 0.3493312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.32 + -0.003?\nAnswer: -4.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 20*a - 2. Let v be z(10). Let k be 156 - 0\/(v + -2). Suppose 0 = -2*q + 7*q + 4*f - 255, -k = -3*q - 3*f. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058352 rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from {w: 4, y: 3, r: 2, p: 4, g: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3204)\/(-45))\/((-4)\/10). Calculate the common denominator of -15\/4 and 90\/(-36)*n\/830.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 + 5588*l - 234725. What is g(40)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*r + 83 = 0, -32*r = 99*x - 36*r - 394 - 86 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.894 - -0.006. Let k = p + -3. Let n = -1539.02 - -1539. Which is the third biggest value? (a) 4 (b) n (c) -1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1132*i**2*j**3 - 408*i*j**3 - 2*i*j**2 wrt i.\nAnswer: 2264*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {g: 6, u: 2, b: 1, i: 2, h: 3}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-234)*(-78)\/(-91))\/(20\/5).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 16. Let q be 4\/s + 112\/6. Suppose 3*n - 9 = -3*m, 33 = 5*m + n - 2*n. Solve o + 6 + m = 5*h, 0 = 4*o + 2*h - q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 647809, 647810, 647811, 647812?\n\"Answer: n + 647808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1) - 1 - -3. Let i be (30\/24)\/(f\/12). Let g = 8 + i. Solve 2*a + g = -3*h, -7*a - 15 = -2*a - h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7\/5 (b) 3\/2 (c) -6 (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1053 + -7.4247. Let y = -8 - a. Let g = 0.4699941 + y. What is g rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/1123? (a) -3 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 209 - 182.92. Let p = h + 31.84. Let w = -3.98 - p. What is w rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23324728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l. Suppose s = 5*c - 21, 3*s - 2*s + 3*c = 19. Let u = s - 2. What are the prime factors of n(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*i - 48*i - 216 + 73*i + i**3 + 216.\nAnswer: i**3 - 64*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -60 (b) 2 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -155 and -5?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231339 is divided by 5397?\nAnswer: 4665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let x(l) = l + 7. Let b be -8 - -3 - (-1 + -1). Let d be (-18)\/(-8) + b\/12. Suppose d*i = 5*g - 25 - 8, g = 3*i + 43. Determine i*y(k) - 2*x(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98726.79ml to litres.\nAnswer: 98.72679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 27*p**2. Let b(d) = 586591*d**2 - 1 - 586455*d**2 + 1. Give b(w(n)).\nAnswer: 99144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1216.23183 - 1216. What is z rounded to three decimal places?\nAnswer: 0.232","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 7 - 19. Suppose a*g + 2*g - 10 = 0, 4*g = -t + 14. Let m be ((-9)\/6)\/((-1)\/2). Solve -5*p + 5*h = 0, 0*h = m*p - h + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -9410492?\nAnswer: 9410493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-147)*5\/2*9.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -235362, -235360, -235358, -235356, -235354?\n\"Answer: 2*y - 235364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 2, 81, -1\/4, 5?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 197?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/6 + (-7)\/21. Suppose -c*w = -0*w - 8. Suppose 2*k - 3*p + 16 = p, 0 = 5*k + p - w. Solve k = 3*g - g + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1332, 1313, 1292, 1269?\n\"Answer: -x**2 - 16*x + 1349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.353 * -12588\nAnswer: -4443.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 393, 392, 391, 390?\n\"Answer: -a + 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3011931, -3011854, -3011777, -3011700?\nAnswer: -3011623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**3\/5 - 23988*l**2\/5 - 191748*l\/5 - 287568\/5 = 0.\nAnswer: -7988, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 396271629\/200552 + 81\/18232. Let d = -1978 + l. Calculate the common denominator of d and -7\/121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 26*t**2 - 29*t + 64. Let u = 226 - 199. Calculate the smallest common multiple of 12 and g(u).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of -3*j**7\/70 + j**4\/4 - j**3\/3 + 6*j**2 - 2*j. Find the first derivative of d(y) wrt y.\nAnswer: -36*y**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13722 and -5.\nAnswer: 68610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t - 22*t + 3213 = -3*t. Put 1, 39, t in ascending order.\nAnswer: 1, 39, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 5.11807\nAnswer: -0.511807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*q**2 - 39*n - 10*q**4 - 6744*q**3 - 4*q**2 - 63750*q + 8 wrt q?\nAnswer: 4*n - 120*q**2 - 40464*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 11, a: 4, j: 1, u: 2}. What is prob of picking 1 j and 3 h?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 - -0.5. Let z = t - -3. Let l = 0.4 + z. What is the third smallest value in l, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-15) - (-328)\/6. Suppose -3*d + 0 + 9 = 0. Suppose d*q = v - 5. Calculate the remainder when 49 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4772553, -9545115, -14317677?\nAnswer: -19090239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802771 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 0.2 (c) 7 (d) -0.4 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(-22476)\/95523.\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 873 and 1552?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, k: 2, b: 2, j: 1}. What is prob of sequence rj?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 + -1 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.7. Let t(p) = p**2 + 92*p + 1859. Let o be t(-30). Which is the nearest to 3\/2? (a) 0.3 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -2 + 4 - (1*2*sqrt(425) + sqrt(425)))**2.\nAnswer: -40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.55 + 3.45. Let h = -0.8 + 6.9. Let y = -6 + h. What is the second biggest value in y, f, 0.07?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2 + (-32)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3544 + -2489. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.28 - -1.28. Let p = -2 + -1. What is the closest to 0 in t, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-3\/2)\/d*d))\/(d\/(d*d**(-4\/5)))*(d\/(d*(d**4*d)\/d))\/((d*d**(2\/25)\/d)\/d) assuming d is positive.\nAnswer: d**(-69\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 57\/7 of a week?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 546165 + -16933221\/31. Let t = 68 + l. Is -0.1 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1900\/15*6\/5. Suppose -114 = 2*m - d + u, -10 = -5*d. What is the units digit of m\/(-28) - (-2)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2 (c) 0.1 (d) 0.05 (e) -168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7338.933 meters in micrometers?\nAnswer: 7338933000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*sqrt(7)*4)**2 - (1*sqrt(686))\/sqrt(2).\nAnswer: -7*sqrt(7) + 445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -456 = -13*s - 352 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p - 56*p - 6*p + 18*p - 19.\nAnswer: -84*p - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:17 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44093 at most 44090?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29141, 116577, 262301, 466313, 728613?\n\"Answer: 29144*s**2 + 4*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368738449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5, -242005 = 2*r + 3*o + 2*o. Round r to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9504 + -0.0504. Sort k, 0, 3, -2 in increasing order.\nAnswer: -2, 0, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 12. Let l be i(10). Let u(f) = f - 1. Let o be u(l). Let a = -6 + o. Sort a, -4, -2 in increasing order.\nAnswer: a, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 9*x**2 + 2*x - 4. Let l be h(-8). Suppose l*k = 47*k + 4317. Let i = 2838 + k. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122081 rounded to the nearest one thousand?\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 5380?\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1057 - 49*k - 5*k**2 - 1057 as r*k + u*k**2 + h and give r.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/6 and (12\/(-18))\/(32\/(-856)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78012*n**3 - 2*n**2 + 5*n**2 - 10487*n**3 - 2*n**2.\nAnswer: -88499*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 11 = 2*v, -20*a = -2*v - 23*a + 19. Solve -5*r = 4*h - 1 + 3, 0 = 5*r + h + v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 233173328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 611 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -95*w**3 + 2*w**2 + 2*w + 1. Suppose 0*f - 2*f = -50. What is the remainder when s(-1) is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/10 - 3*o\/5 + 9\/10.\nAnswer: (o - 3)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98.5 - 98. Let d = 21 - 169\/8. What is the second smallest value in d, -2, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-6)\/(-4) - (52 + -51). Suppose 24 = 2*o - t*n, -2*o - n + 30 = -0*n. What is the lowest common multiple of (-10)\/(-2)*(-92)\/(-10) and o?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = 3*u. Suppose -4*b = x - u*b - 16, -2*x + 5*b = 3. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330411 divided by -3?\nAnswer: 110137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3217, 3, 2 in ascending order.\nAnswer: 2, 3, 3217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7378397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l - 12. Determine j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1278 divided by -1?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 46906.\nAnswer: 234530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-36)*3*-3. Let n(f) = -f**2 - 10*f - 5. Let i be n(-9). Suppose i*c - 4 = 0, -2*y + 4*y + 11 = -c. Is y not equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(3\/5)\/t))**(-38))**(-1\/4))**(-1\/6) assuming t is positive.\nAnswer: t**(-19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*j + 42, 0 = 3*s + 3*j - 2*j + 41. Which is smaller: -14 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214.\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 57*s - 3829. Determine g(68).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3. Let q = -17 + 14. Let b(g) = -2. Let a(n) = q*s(n) + 4*b(n). Let f(v) = -2*v + 2. Determine -3*a(h) + f(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1330 + 5321\/4. Which is the closest to m? (a) -5 (b) -22\/5 (c) -0.5 (d) 0.079\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**4\/24 - a**3\/6 + 2*a**2. What is k(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 1334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37944418 is divided by 7588880.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 22. Suppose 0 = -3*o + 3*t - 3, -2*t = 2*o + 2*t - n. Suppose -5*s + 90 = -o*s. Is 31 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus 1104?\nAnswer: -1104.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.08457579 times 0.2\nAnswer: 0.016915158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 5*d + 9. Let k be z(6). Suppose 0 = -5*i + 4*o - k, 0 = -i + o + 2*o + 6. List the prime factors of (0 - -3 - 8)*i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*(0 + 8 - 1938\/228)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**6\/120 - 7*b**5\/60 + 7*b**4\/24 + 3*b**2. Determine l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 358\/17413 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74133 is divided by 24710.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, h: 8, v: 4, d: 5}. What is prob of sequence dvh?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8475738830 rounded to the nearest 1000000?\nAnswer: 8476000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.16171 (b) 1 (c) -0.4 (d) 0.4 (e) -7\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -982, -1036, -1090, -1144, -1198?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 26 = 5*p, -2955*p + 2958*p - 219 = 4*f for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + c = -v + 7, 3*v = 4*c - 5. Let t be (-1 + 1)*(0 + v). Suppose 4*f + t*h - 67 = 3*h, 5*f - 85 = 5*h. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 3. Suppose -x + 4*g - 18 = 0, 3*x - 22 = 8*x - 3*g. Let b = x + t. What is the greatest common factor of 5 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/1594021 (b) -2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/1128 and 115\/658.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 361.07 + -364.07. Let j = 0.7 + 0.3. Which is the closest to 6? (a) j (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let i(x) be the third derivative of x**8\/10080 + x**5\/60 + x**2. Let z(n) be the third derivative of i(n). Determine z(c(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32832 and 113881896.\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - g + 15, 4 = -2*j + 2*g. Let c(p) = p - 66. Let s(f) = -12*f + 726. Let o(i) = 11*c(i) + s(i). What is o(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67295 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8144, -8140, -8136, -8132?\n\"Answer: 4*v - 8148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 10 + m**3 - 15*m**3 - 15*m + 5*m**3 + 10*m**2. Let s(o) = -5*o**3 + 5*o**2 - 8*o + 5. Let z(t) = 6*n(t) - 11*s(t). Is z(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 27, -12\/3959, -9, 0.03?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2805927 is divided by 935305.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 - 4) + 11 + -30 - (7 + 0 + -23).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**3 + 4*s**2 + 7*s - 3*s**3 - 8*s - 4*s + s**4 to the form f*s**4 + n*s**3 + u*s + x*s**2 + w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z. Suppose 4*t = n + 17, 4*n = -2*t - 0*t + 4. Suppose -o + 6 = 5*w, o - 5*o = t*w + 8. What is k(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -18. Let a(o) = o**3 - 2*o**2 - 5*o + 4. Calculate the remainder when w is divided by a(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.4 and 0.2.\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) -207 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w, 2*w + 264 = 2*o + 54. What is the highest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 3*a**2 - 5*a**2)*(-2*a - a + 2*a) + 4*a**2 - 4*a**3 - 4*a**2.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017495820636 to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 571 + 5?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3579713446 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 69. Calculate the remainder when 103 is divided by d(30).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -22*b + 26. Calculate v(-5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4\/4 - 625*q**3\/4 + 24492*q**2 - 24336*q = 0 for q.\nAnswer: 0, 1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 9:04 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 e when two letters picked without replacement from qeuueeuedeeqeqeed?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*x - x + 6 = 0, 5*x = -5*w + 25. Let g be 24 - (w + 2)\/(-3). Suppose -g = v + 7*t - 2*t, -2*t = 2*v + 10. Solve v = 2*j - 6*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*w + 5*n - 27, 18 = 2*w - 2*n. What is the common denominator of -27\/16 and 23*(-3)\/1602*w\/6?\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -54386\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/17 - 130641310*n**2\/17 - 261282626*n\/17 - 130641314\/17 = 0. What is n?\nAnswer: -1, 65320657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -3, 1, -1.\nAnswer: -72, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-4))\/((-7)\/(-28)). Let z = 20 + l. Suppose -z*u + 0*u = -165. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d + 1. Let y be z(-2). Let g = 14.1 - 14. Let j be (-3 + 2274\/750)\/((-4)\/(-10)). What is the smallest value in g, y, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*p = -5*p + 7, -4*z - 2*p = -18. Let q(t) = 4*t + t**z - 4*t. Let i(r) = -r + 5*r + 1515 - 1515. Give i(q(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + 4\/(-16). Suppose w = x + 5*s - 5 - 22, 0 = -x + 4*s. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6682 and 131\/18?\nAnswer: 60138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.91 + 0.09. Let l = -3.2 + n. Let y = l - 5.8. What is the biggest value in 1, -4, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 414 and 75840982.\nAnswer: 682568838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 32*w**5 + 56*w**5 - 4*w**5 + (2*w**2 + 1 - 1 + (w + 0*w - 3*w)*(-w + 0*w - w))*(-2*w**3 - 4*w**3 + 5*w**3).\nAnswer: 78*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 3 = -18, x = 5*p + 62 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 11778.\nAnswer: 35334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**3 - 3660 + 3*z**2 + 87*z**4 - 246*z**4 + 3658 in the form k*z**3 + q*z**2 + c*z**4 + t*z + s and give c.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 100 = -5*r, g - 33 = -3*r + 27. Let i = r + -16. Solve -4*y + 16 = 4*q, -i*y + 4 = 5*q - 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**7\/168 + u**6\/120 - 12*u. Factor l(s).\nAnswer: s**4*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 6*q + 4*q. Let w(g) = -3*g - 1. What is w(q)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -360 + 385. Find the common denominator of s\/11 - 27\/(8 + 1) and 68\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 5. Let j(a) be the third derivative of 13*a**4\/24 - 7*a**3\/2 + 9*a**2. Let u(t) = -2*j(t) + 9*x(t). Determine u(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (33\/(-55))\/((-1)\/(-5)). Which is the biggest value? (a) 34 (b) 5 (c) -1 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 6, -9, -324 in increasing order.\nAnswer: -324, -9, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x + 11*x + 7*x - 6*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, l: 4, j: 9}. What is prob of sequence oolj?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457910.\nAnswer: 2, 5, 29, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 9 = 0, -5*y + 4*p + 23 + 39 = 0. Let q be (-3100006)\/10 + 6\/y. Round q to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**2. Let g(z) = -13*z + 171. Let o be g(13). Let f(i) be the first derivative of 8 + 0*i**o + 0*i + 2\/3*i**3. Determine f(h(p)).\nAnswer: 162*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by 53\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) + (-24440)\/25. Let y = z - -338. Round y to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.217548 litres?\nAnswer: 8217.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93\/2 or -46?\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - 2*a**2 - 7*a + 4. Let x = -103 - -106. Let c be b(x). Calculate the highest common factor of 57 and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (17 + -20 - (2 + -8 + -3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 - 0.1. Let h = 3.01225 - 0.01225. Put h, -1, -41, p in descending order.\nAnswer: h, p, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*q = -72, 4*h + 5*q = -56 + 388. Suppose -2*r = -7*r + 55. Calculate the highest common factor of h and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**0*h)**(2\/7)*((h**(-5)\/h)\/h)\/h**10)**(-1) assuming h is positive.\nAnswer: h**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3040 = -37*h - 58*h. What is the remainder when h is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 237\nAnswer: 4\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4239*u - 4272*u + 660 = 0 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*w = -1568*w + 15300 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 8090 = -126*x + 122*x, 5*o - 3*x = 20211. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-15)\/160*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32057c (base 16) to base 5\nAnswer: 1314400304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493934 is divided by 493771.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**4 - 9*v**4 + 2*v**2 - 5*v**4 - 214*v**3 + 217*v**3 to m + g*v**3 + r*v**2 + y*v + t*v**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 122 - 22. Let n = i + 82. Solve 3*y = s - 6*s - 10, 2*y = 5*s + n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpvxvvvpprrupvpprxe. What is prob of picking 1 v and 1 p?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**2 - 4994*c + 168600. Give p(33).\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**4\/4 + 5*b**3 + 18*b**2 - 128*b - 130. Does 20 divide t(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 855801*w**2 - 531542*w**2 + 3.\nAnswer: -1387343*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/3, -3\/436, 0.4.\nAnswer: -3\/436, 1\/3, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3085*b - 330*b - 367*b to the form d + m*b and give m.\nAnswer: 2388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + 13. Calculate the remainder when p is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2. Let f(y) = 47454*y**2. What is h(f(r))?\nAnswer: 4503764232*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/37963146 and 67\/290.\nAnswer: 189815730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - -3)\/(1\/19). Let q be (-975)\/(-12) + (-2)\/8. Let c = a + q. Calculate the greatest common factor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8586, -17893, -27920, -38667, -50134, -62321, -75228?\n\"Answer: -360*a**2 - 8227*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 2, e: 2, a: 1, o: 9, n: 4}. Give prob of sequence fn.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 2\/3*p**3 + 0*p + 1\/240*p**6 + 1\/420*p**7 - 1\/12*p**4 - 1\/20*p**5 - 28*p**2 + 0. Factor j(v).\nAnswer: (v - 2)*(v - 1)*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21395963.\nAnswer: 21395963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 25*p**2 + 5*p + 3. List the prime factors of k(-2).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = z - 3*o, -13*z + 4*o = -16*z - 37. Let h(f) = -f**3 - 10*f**2 + 10*f - 8. Calculate h(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 + -35. Let x(r) be the third derivative of 16500*r**5 - r**4\/12 - r**3\/3 + 2*r**2. Let t be x(o). Round t to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from qqqqqmqqmmqq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -23 - 15) + 0 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 96 = -2*l + 29, 4*l + 125 = b. Which is smaller: -119 or l?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 5*o**3 + 9200*o**2 + 45805*o - 128450 = 0?\nAnswer: -1835, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 92925031 to the power of 1\/3, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 h, and 1 i when four letters picked without replacement from ijohajrh.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6587, -13031, -19163, -24827, -29867?\nAnswer: -34127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 4. Let f be -3 + 3 + -1 + -6. Let v be (2 + -5)*(-28)\/(-42). Let m(c) = -4*c - 13. Calculate f*q(a) + v*m(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*d = -15, -d - 19 = -3*g + d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(6\/13))\/(y**(-5\/3)*y)*(y**(5\/4)\/y)\/(y*y**3))**(-16) assuming y is positive.\nAnswer: y**(1012\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 3*s + 8. Let x be n(-4). Suppose 9 = -v - x*t, 0 = 4*v - 5*t - 3 - 24. Suppose 4*c = o + 15, -3*c + c + v = -5*o. Sort c, -7, -1.\nAnswer: -7, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 18*f = 2*n - 5, -4*f + 9*n = -25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.842319 millennia to decades.\nAnswer: 784.2319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 3. Let z be b(0). Suppose 22 + z = f + 2*y, -4*f - 2*y + 112 = 0. Let v = f - -125. What is the greatest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n - 2*n)*((3 + 2 - 3)*(-n + 3*n - 3*n) - 2*n + 2*n - 3*n - 4*n + 3*n + 2*n - n - n + n + (-n + 0*n - n)*(3 - 1 - 1) - n + 5*n - 3*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*q**4 - 92*q**3 + 0 + 201*q**3 + 2*q - 78*q**3 to u + o*q**2 + i*q**4 + c*q + x*q**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -55 + (12\/(-2) - -3). Let f = a - -100. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.6 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -327, -1294, -2905, -5160?\nAnswer: -8059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*w - 36*w + 385 = 0. Put 3, -3, -2, w, -4 in decreasing order.\nAnswer: w, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 736.796 microseconds to seconds.\nAnswer: 0.000736796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g = 2*g. Suppose g = -41*k + 40*k + 834. Round k to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28456 - 28456.00084245. Round s to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63319974 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 62*u - 2114. What is y(33)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000046406994 rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, b: 2, l: 1, y: 2, h: 1, g: 3}. Give prob of sequence qgyq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 32*i**5\/3 - 1008*i**4 + 25672*i**3\/3 + 1371268*i**2\/3 + 2476460*i - 4060528\/3 = 0.\nAnswer: -19\/2, 1\/2, 37, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2))\/(4\/1448). Let n = 285 - t. What is the greatest common factor of 26 and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.04, 1\/3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + sqrt(2176)*-2 + sqrt(34))\/(sqrt(2) + sqrt(2) + sqrt(18)*-2).\nAnswer: 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5 - 6. Let t = -0.5 + r. Let l = -10.7 - t. What is the third smallest value in -1, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1157801 - -1157738.2443. Let a = n - 0.0443. Round a to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:35 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 213 - 89. Calculate the greatest common factor of b and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20613 - -20615. Let b(c) be the first derivative of 2*c**2 + 1\/4*c**4 + 2 + 2*c**3 + w*c. Determine b(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 53. Let v be ((-1)\/5 - 1)*(-3)\/j. Let z be 1 + 1\/((-66)\/62). What is the nearest to 0 in z, 5, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 66*g**2 - 27*g**2 + 8*g - 21 + 10*g. Let s(h) = -11*h**2 - 5*h + 6. Suppose 0 = 5*d - 12 + 37. Let w(q) = d*z(q) - 18*s(q). Factor w(x).\nAnswer: 3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 = -s, 3*j - 7 = -4*s - 28. Let l(f) = -f**2 - 7*f - 1. What is the remainder when l(s) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -125*g**2 + 625*g + 625. Let r(b) = -b - 1. Give 625*r(m) + v(m).\nAnswer: -125*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20*1 + -2 + 2. Let b = 8 + -2. Suppose -n - q = -b*n. What is the greatest common factor of 8 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 3*i**2 + i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9959323877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 17\/50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-880)\/100*10\/(-2). Calculate the greatest common divisor of c and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3565515 divided by 3565515.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 129b23 + 5?\nAnswer: 129b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101110000001 (base 2) to base 4.\nAnswer: 232001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2729*z**2 + 4. Let x(n) = 1086*n**2. Determine o(x(r)).\nAnswer: 3218571684*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 271293827 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*i**2)*(-42*i + 36*i + 178*i)*(-3 + 3 - 2*i) in the form v*i**3 + d*i**4 + t*i**2 + f*i + h and give d.\nAnswer: -688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 3:11 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(-3504)\/(-25696).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -9632498?\nAnswer: 9632499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5006 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*a**2 - 2 + 6*a - 12*a**2 + 2.\nAnswer: 2*a*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -6*f**4 - 121*f**3 - 673*f**2 - 1062*f - 504 = 0.\nAnswer: -12, -6, -7\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1771, 3666, 5559, 7450, 9339?\nAnswer: 11226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -146 (b) -28 (c) -4 (d) 7 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2 (b) -0.2 (c) 0 (d) -4 (e) 283\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69907 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -799\nAnswer: 15.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 + 4*g + 4. Let t be (0\/1 + 1)*0. Let a be (t - (-1 - -1)) + -4. Let b(o) = 2*o**2 - 3*o - 3. What is a*b(u) - 3*x(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 156062926 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 4 (b) 0.4 (c) 1566706 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*q + 7*q + 1444344 = 0. What is the thousands digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370 - -3?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2\/7 + 2801544*y\/7 - 490540548996\/7.\nAnswer: -4*(y - 350193)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.55913 rounded to two decimal places?\nAnswer: 38.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6130555 to the power of 1\/2, to the nearest integer?\nAnswer: 2476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -424 or -427?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*5\/(-2))\/((-2)\/12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-15)\/20)\/(-1 - (-153)\/156). What is the greatest common factor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(117) + -1 - (sqrt(13)*1*-4)**2) - (1*sqrt(117)*-4)\/sqrt(9)*5.\nAnswer: -627 + 29*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08876851947 to five dps.\nAnswer: -0.08877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 122203333 to the power of 1\/2, to the nearest integer?\nAnswer: 11055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1. Let g = 3228 - 3229. Let a(z) = z + 1. Give g*j(h) + 3*a(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -56 + 26 + 30 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -1\/6*z**4 + 0 - 110*z + 3\/20*z**5 + 24*z**2 + 0*z**3. Differentiate d(y) wrt y.\nAnswer: 9*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 45\/20 + (-2)\/8. Suppose 8 = -j*g, -3*g - 172 = -m - 38. Let f = m - 113. What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 260569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -21 in ascending order.\nAnswer: -21, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Let z = -404.0032 + 405. Let b = n - z. What is b rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*w + 65*w + 1092 = 14*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (3 + (-1 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -389166754*z**3 - 659594170*z + 2.\nAnswer: -2335000524*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 21*d + 10. What is i(3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 20 = 4. Let o(l) = -l**2 + 59*l. Let f be o(u). Let j = f + -461. Round j to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -846, 7669, -2 in descending order.\nAnswer: 7669, 4, -2, -6, -846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) - 4*sqrt(343))*1)**2 + sqrt(343) + -6*(-1*sqrt(700) - sqrt(700))**2.\nAnswer: -13713 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189\/23 - 3457\/138. Calculate the common denominator of -61\/21 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnnhnhannk. What is prob of picking 2 h, 1 a, and 1 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 500266 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -56\/75 and 23\/1050?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154633337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9196798, -4, 2\/5, 1\/3, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -5*n**3\/6 - 77*n + 81. Let r(t) be the first derivative of c(t). Let x(d) = -d**2. What is x(r(b))?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32130557 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*w + 5*d = 40, 2*w + 3106*d = 3102*d + 30 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)*a)**45 assuming a is positive.\nAnswer: a**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/8 and -99\/3874022.\nAnswer: 15496088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, -5 in ascending order.\nAnswer: -5, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/10)\/(-1) + 4459\/65?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 337*p - 263. Calculate the remainder when 171 is divided by a(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*(0 + sqrt(304)) - 6*sqrt(475)*-2)*-2*2)**2 + 0.\nAnswer: 1945600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17628076 and 86462?\nAnswer: 5086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 8*u - 7. Let f be b(7). Solve 4*o - 3 = -5*i + 10, f = 4*i - 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*f = -f - 1, 5*f - 22 = -3*r. What is the tens digit of 3 - (-8 + r)*8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*t + 18*t - 48*t as d*t + p and give d.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 32 - 20 = 0. Which is smaller: -468 or c?\nAnswer: -468","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013741292147 to 4 decimal places.\nAnswer: 0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q = -9*q + 56. Let t be (-7)\/q + 2\/(-4). Suppose t = -2*z - 2*z. Solve z = x - 5 + 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(40\/(-6))*-2. Let y be (-6)\/(-15) + (-44)\/10. Let k be (4\/4)\/((-2)\/y). Which is bigger: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31508353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 5*q + 10, -5*c - 153 + 113 = -5*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 6996 = 5*c - 6826, c = 5*a + 98 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(1 - 0\/(-3)). Suppose f = s - 6 + 1. What is the second derivative of 16*k**5 - 11*k**s - 5*k + k wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29.3 - 29. What is the closest to -0.1 in 2\/5, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 g when four letters picked without replacement from gggggggrrgr?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -949 divided by 41\nAnswer: -949\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 32 = 16. Let z be (8\/(-5))\/(114\/(-10) + 11). What is the highest common factor of m and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * 10520\nAnswer: 14728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -10. Let o(g) = -n - 11*g + 3*g**2 - 2*g**2 - 4*g + 0 - g. Give o(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250706359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*4\/(-96))\/((-9)\/72).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 1, j: 4, u: 2, w: 1}. What is prob of picking 1 j and 1 w?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 m when three letters picked without replacement from {z: 3, s: 2, t: 2, q: 2, p: 2, m: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2914*z + 20420. Determine k(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/7124 and -34\/9?\nAnswer: 64116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110 or 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -18213 equal to -21033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 = -8*w. Let y(g) = -5*g**2 + 1. Let n(m) = -m**2 + m. Let x(a) = 4*n(a) - y(a). What is x(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152110)\/3300787 - 1*(2\/(-7))\/2.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.778 - -0.122. What is h rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19674 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d. Let c(u) be the third derivative of -u**5\/60 - 38*u**2. What is c(q(z))?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286597497.\nAnswer: 3, 95532499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 426*h**2*s + 2*h**2 + 2*h*s - 450*h + 2*s wrt s.\nAnswer: 426*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -16 - 4. Suppose a + 346 = -i, -m*a = -5*i + 2*i - 1078. Calculate the remainder when i\/(-3) - (-2 + 5) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*u**3 - 2*u - 78*u**4 + 193*u**4 - u - 113*u**4 in the form h*u**4 + m*u**3 + i*u**2 + z + k*u and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4 - 0)\/(4\/(-8))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -403 and 1055.82.\nAnswer: -425495.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 0. Suppose 0 = 3*b + 4*z, -5*z + o*z = 2*b + 7. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y\/(y\/(y*y**(3\/8)\/y)))*y\/y**1*((y*y\/y**(2\/3)*y)\/y*y)**(4\/15)*(y*y\/(y**1*y)*y**(-3\/5)\/y)\/(y\/y**(-1\/2))**(-13\/4) assuming y is positive.\nAnswer: y**(317\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 775 - 778 - (-3 + (-1 - 0 - -9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/203050 and -91\/406100?\nAnswer: 406100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*s + s = -36, -y = -5*s + 11. Suppose -t + y*i + 931 = 13*i, 4*i - 3716 = -4*t. What are the prime factors of t?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 - 5*n**2\/3 - 22*n\/3 - 16\/3.\nAnswer: (n - 8)*(n + 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*n - 19 = 0, -2*v = 2*n - 912 + 904 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 5347587.\nAnswer: -1\/1782529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4642 - 4642 - 9*i)*(19*i + 5*i + 6*i).\nAnswer: -270*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d**3 + d**2 + 250*d. Let k(w) = -w**2 - w. Determine k(b) + r(b).\nAnswer: -4*b**3 + 249*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367834053 to the power of 1\/2, to the nearest integer?\nAnswer: 19179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k + 3 = 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14*x + 2. Let w(f) = -9*f - 1. Let q be 6\/(-36)*3*10. What is q*i(g) - 8*w(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 4*j - j)*(-1 - 1 + 1)*(-4 - 5 - 5).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 40 (b) 5 (c) 0.4 (d) 0.2 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11 - 2*(-5)\/(-2). Suppose -9*r + 3 = -g*r. Let u(z) = 5*z**2 - z. What is u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46952 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.73 from -4.\nAnswer: -1.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12785*o**2 - 1931*o - 4.\nAnswer: 25570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 20*q**2 - 11*q - 4. Let z be p(-20). Let f be (-343)\/(-8) + 27\/z. Is f > 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92016234 is divided by 543.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Suppose -10 = -2*v, -4*p + 29 = -0*v + 5*v. Let t be 8\/2*p\/4. Solve r = -2*n + 3*n + t, 3*c = n + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 61 = 5*b, -5*m + 105 = 3*b. Let n be -4 + 3 - (-16)\/m. What is the closest to 2\/5 in -1\/2, 1\/4, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -4. Suppose 0 = 5*j - n - 0*n, 0 = -j - n + 6. Which is the closest to 0.4? (a) -1 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 660, 648, 636, 624, 612, 600?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - r - r + 0*r - r + 3*r + 2*r + 3 - 3 - 3 + 3 + 2*r + (-3 + 5 - 1)*(-4 + 4 + 2*r) + 6*r - 3*r - 2*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9941085 by 5.\nAnswer: -1988217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*b + 363 = 0, 2*n - 93 = -5*b + 612. Calculate the greatest common factor of 1072 and n.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h**3 - 3*h**2 + 3*h. Let s(x) = 7*x**3 - 4*x**2 + 9*x - 5. Let m(v) = v - 1. Let z = -10 + 0. Let i(q) = z*m(q) + 2*s(q). Give 8*f(l) - 3*i(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13785861 or -1?\nAnswer: -13785861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 22)\/(((-12)\/(-14))\/((-452)\/791))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 7 = -4*g, -5*j + 2*g = -2*g + 1. Let y be 3\/12 + j\/4. Suppose x + 4*x = y. Solve -7 + 0 = -3*c + 4*k, x = 2*c + 5*k + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -2*w + 3*i, 0 = 64*w - 22*w + 7*w - 4*i + 191 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, 14, 1, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1 + sqrt(832))*-4)**2.\nAnswer: -13328 + 256*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 17 - (3 - 2). Is ((-4)\/5)\/(k\/(-1305)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23753161087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, h: 15}. What is prob of picking 1 h and 2 l?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 157*o + 1742. Give w(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by -53590\nAnswer: -91\/26795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*k - 1003*k - 8758 = -267*k - 1373 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 172*-0.02\nAnswer: -3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15333 is divided by 47?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -471, -1767, -3919, -6921, -10767, -15451, -20967, -27309?\nAnswer: -34471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 56*f**2 + 118*f - 1599. What are the prime factors of a(69)?\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94439640 by -89094.\nAnswer: -1060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8721136l to millilitres.\nAnswer: 872.1136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**4\/6 + 65*h**2. Let p(i) = -8*i. What is g(p(s))?\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*s**4 + 9*s**3 + 124*s**2 - 9122?\nAnswer: -8*s**3 + 27*s**2 + 248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2758733081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 783421, -1, 2 in increasing order.\nAnswer: -1, 2, 783421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 574 and 84.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2. Let l(n) = 850*n**2. Determine l(p(u)).\nAnswer: 68850*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7894 + 14096. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13401553 and 37917.\nAnswer: 4213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9439138.3 rounded to the nearest 1000?\nAnswer: -9439000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -296, -188, 28, 382, 904?\n\"Answer: 5*r**3 + 24*r**2 + r - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.94 + 0.06. Let q = 36.7 - 35. Let y = q + -1.5. Which is the third smallest value? (a) y (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0319*-2\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.142616446 to three dps.\nAnswer: 0.143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8162826 is divided by 7679?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -10. Which is the nearest to l? (a) -1 (b) -0.1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g**3 - 2 - 6264*g + 12543*g - 2*g**2 - 6275*g in the form w*g**3 + a + f*g**2 + y*g and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/3*(7 + 297\/(-44)). What is the nearest to -19 in -2, 1, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -713 - -720. Suppose -120380 = -p*h - 12573. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10993 or 10994?\nAnswer: 10994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - -5) + (41 - 43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 55*q**2 + 54*q + 120. Let t be l(56). What is the nearest to -1 in t, -5, -1.6, -1\/3?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/20 + (-6)\/70?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 54 + 88 = 0. Sort -8, -4, o in increasing order.\nAnswer: -8, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**2\/2 + 52*v + 5. Let z be q(7). Let d = -39 - -70. What is the greatest common factor of d and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c - 39. What is o(14)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30379 is divided by 196.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7908911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (0 - 0)) + -25 + 18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 0, -4*x - 5*s + s = -244. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 7. Let w = -2 - f. Let m = 3.1 + 1.9. Which is the third smallest value? (a) w (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**6 + 1864681*r**3 - 4627254*r**2?\nAnswer: -120*r**3 + 11188086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747 = -w + 4*d, -2*w = -4*w + 2*d + 1512. Suppose 0 = 5*j + 3*c - 7*c - 345, 4*j - 276 = c. Calculate the highest common divisor of w and j.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(2 - (-126)\/(-66)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 50\/23593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -98*k**3*r - 20328*k**3 - 35*k**2 + k*r + r + 100 wrt k?\nAnswer: -588*r - 121968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 2*h + 31 = 0, -5*j + 0*j + 4 = 5*h + 44 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) 0.06 (c) 2181 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -116500?\nAnswer: -116464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7.07 * -1860\nAnswer: 13150.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/5 + 1562*z**3\/5 - 81432*z**2 + 7111520*z - 7030400 = 0. Calculate z.\nAnswer: 1, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -51. Let a = g + 72. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12494 is divided by 11115.\nAnswer: 1379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 888 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257176369?\nAnswer: 557, 461717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(704) + -1 + sqrt(1584)*1 + 5)**2.\nAnswer: 360*sqrt(11) + 4481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 10?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -637\/160 in 2\/5, 4, 0.5, -1\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.857 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 4*h + 2. Let t be c(4). Suppose t*m + 4 = 10. Suppose m*d + 40 = 151. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -79*q**2 + 6. Let t(a) = 14*a. Give v(t(d)).\nAnswer: -15484*d**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*r - r. Let p = r - 4. Is 22 a factor of -2 + p\/(-3)*48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 15 + 3. Let k be (((-2)\/1)\/g)\/((-2)\/586). Let u = 33 + k. What is the nearest to 3 in 2, -0.4, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19, -54, -111, -190, -291?\n\"Answer: -11*n**2 - 2*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-14 - ((-9 - -12) + -7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 5626 and 5518 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f + 12. Let b be v(5). Suppose -3 = 3*n, 74*i - 1 = 75*i - n. Sort i, 5, b, 8 in ascending order.\nAnswer: i, b, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 25 = 5*v, -4*v - 16*b + 22 = 98 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269\/4 - -67. Let s = 2.8 + -2. Let x = -0.7 + s. What is the closest to x in m, -1\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, a: 2, j: 9}. What is prob of picking 3 w and 1 j?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4467785 and 428?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 517429.594 * 0.3\nAnswer: 155228.8782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30438 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 22*k**2 - k**4 + 1 + 40*k**2 - 22*k**2 in the form f*k**4 + v*k**2 + x*k + b*k**3 + p and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -l. Let v(c) = c + 3. Let w be v(0). What is the remainder when l is divided by 2 + (w - (3 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 141*i + 3059. Let n be y(-21). Suppose 2 = -s + 16. What is the greatest common divisor of n and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-14))\/(4\/2)*245\/(-70).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*b**2 - 4*b**2 + 1)*(-68 - 159*b + 68).\nAnswer: -318*b**3 - 318*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 10*b**2 + 15*b - 10. Let t be d(-12). Let f = t - 684\/7. What is the biggest value in f, -0.4, 15, -1\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 384145*g**3 + 85*g**2 - 78452939?\nAnswer: 1152435*g**2 + 170*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + n = 94 + 103, -n = -5. Let f = o - -64. Let w(y) = 2*y + f*y + 22 - 21 - y**2 - y. Give w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2. Let p(z) = 41*z**2 + z + 6. Determine -p(b) + 6*w(b).\nAnswer: -47*b**2 - b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*o**6 + 66*o**5 - 3535*o**2.\nAnswer: -1800*o**3 + 3960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 7, n: 1, z: 10}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -0.07?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14547, -29148, -43749, -58350, -72951, -87552?\nAnswer: -102153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41*p - 10*p**2 - 23*p**3 + 33*p + 21*p**3.\nAnswer: -2*p*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 0 + sqrt(245))**2.\nAnswer: -498 - 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44900776*v**3 - 285900*v - 44.\nAnswer: -269404656*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1. Suppose 0*i - i = 5*f - 2, 0 = -2*f + 2. Let c be w(i). Suppose -4*l - l + 16 = c*q, -2*l - 3*q + 2 = 0. Is l <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 2*j - 13. Let a be m(6). Let x = a + 5. Let i(v) = v - 69 - 92*v**2 + 67 + 87*v**2. Let b(k) = 26*k**2 - 6*k + 10. Determine x*i(h) + 3*b(h).\nAnswer: -2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1915568*h**2 + 1718647*h?\nAnswer: 3831136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.53 - 7.53. Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 9*l + 12. Let a be t(-8). What is the third derivative of -8*g**4 + 8*g**a - 4*g**4 + 4*g**2 wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/812148 and -53\/12.\nAnswer: 812148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 7:16 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 56039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/45*(1 - 1). Solve u = 6*j - 279 + 279 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/9280 and -71\/8661952?\nAnswer: 43309760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((14\/(-35))\/(8\/20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11163329\/4408 - -198\/551. Let a = -2528 + f. Calculate the common denominator of 19\/18 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -436755 - -3?\nAnswer: -436752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 35 + 27)*(-11 - t**2 + 11).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11570 - 1.2123278\nAnswer: -11571.2123278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3154 and -3?\nAnswer: 0.9462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -54*u**6\/7 + 2124*u**5\/35 - 400*u**4\/7 - 6224*u**3\/21 - 1216*u**2\/7 - 256*u\/7 - 139. Determine w so that h(w) = 0.\nAnswer: -1, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -129.4 + 122.9. What is the second smallest value in y, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 15, 11 = -o + 3*v - 1. Let f be -4 - (-1 + o - -99). Let m = -96 - f. What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d. Let y(v) be the third derivative of v**6\/360 - 5*v**5\/24 + 97*v**4\/24 + 188*v**2. Let m(a) be the second derivative of y(a). Calculate t(m(o)).\nAnswer: -2*o + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 918068, 918110, 918192, 918314, 918476, 918678, 918920?\nAnswer: 919202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 5, k = 5*t - 2*k - 2. Let r(a) = -11 + t - 17*a + 8*a. Is r(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -5*j + 35, 5*j + 75372 = p + 2*p + 75332 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604*x**2 - 582*x**2 + 1763*x**2 - 579*x**2 + 1384.\nAnswer: -2*x**2 + 1384","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45\/287 - 24\/41. Let z be (-10)\/(-45) + 8\/126. Which is the biggest value? (a) 1 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69601\/104786919 - -2\/66447. Is 0 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -90 + 3?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1933.68 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1067.7 * 1.088\nAnswer: 1161.6576","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**4\/4 - 3*n. Let h(v) = 9*v**2. Give g(h(y)).\nAnswer: -243*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 10:40 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 6\/641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5577703.2 milliseconds?\nAnswer: 1.549362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2782*d*u**3 + 124*d*u + 10*d + 4133*u**3 - 2*u + 20 wrt u.\nAnswer: -16692*d*u + 24798*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wuuu when four letters picked without replacement from {w: 4, u: 5, q: 5}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + j - 2 + 0*j + 1. Let w be d(1). Factor 3\/2*c**w + 1\/2*c**4 - 1\/2*c + 0 - 3\/2*c**3.\nAnswer: c*(c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*k)*(-2 - 3 + 3) - 17*k + 9*k - 13*k + (2*k - 4 + 4)*(-2 + 1 - 1) to q + u*k and give u.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 - (-782)\/1870?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15079 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -530 - -531. What is the lowest common multiple of 90 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/34325?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)*n)\/n)**21\/(n*n**1*n*n*n**(-2\/9))*(n**(-2))**(-9\/7)\/(n**(-3)\/n**(-1\/9)) assuming n is positive.\nAnswer: n**(-1217\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69312.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 358908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.89 - 21.89. Which is the nearest to -0.5? (a) -6 (b) 69 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1821 - -1823. Which is the closest to 0.6? (a) p (b) -0.3 (c) -1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z - 413 + 413 + (-300 + 423 - 211)*(-4*z + 5*z - 2*z).\nAnswer: 92*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177.72 + -56.72. Put d, -2, -1, 2\/17 in decreasing order.\nAnswer: d, 2\/17, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8 = j + 4*p, -p - 3 = 0. Suppose 44*z + 124 = 13*z. Sort j, 6, z in decreasing order.\nAnswer: 6, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2. Let o(n) = -9*n - n - 6*n + 2*n. Calculate t(o(x)).\nAnswer: 392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/27)\/((-280)\/(-384) + (-2)\/32)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -10*t - 9. What are the prime factors of q(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -16*s - 29. Let p(y) = 3*y + 6. Give 4*c(u) + 22*p(u).\nAnswer: 2*u + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*s + s + 4, -4*u = -3*s + 2. Let w be (-4 + 6)\/(u\/(-12)). Is 1521\/w - 2\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/477 and -5*(0 - 63\/540)?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*m - 2*k, -4*m - 3*k + 10 + 3 = 0. Suppose -5*t + l + 12 = -t, 2*t + 8 = m*l. Let p = t + 0. Let g(b) = b**2 - 6*b + 6. Calculate g(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c**2 - 3*c + 3. Let z be j(-6). Does z = -340?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/(-12) - 1\/4. Let o be 3*(-10 - (21 + 6)). Let x = u - o. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3125 + -3120. Suppose 18 = 4*r - 6. What is the second derivative of -140*k**2 - z*k**3 + 140*k**2 - r*k wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 2132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8*b + 6*b + 21 = 0, 2*x = -3*b + 46. Calculate the remainder when 173 is divided by x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Let j(a) = 3*a**2 - a + 1. Let i be j(1). Let y = 0 + i. Let h(u) = 2*u - 2*u + y*u. Give h(x(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 664, 723, 782?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -64, 17, 118, 239, 380, 541?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*y - 15 - 16, -4*q - 8 = 3*y. What is the remainder when 10 is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (8\/10)\/((7 - 3)\/40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -34 - 40 + 69 + 2*z. Let v(i) = i - 1. Calculate -a(f) + 4*v(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, r: 4, z: 2, d: 4}. What is prob of picking 1 z, 1 d, and 2 l?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1551*w**6 - 1619*w**6 - 48*w**2 + 3*w - 24*w**2 - w wrt w?\nAnswer: -8160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/840 and 71\/73080.\nAnswer: 73080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 10*s**2 + 2*s - 21. Suppose 3*n = 425 - 395. Let l be h(n). Let m be ((-18)\/(-8))\/(66\/(-16)). Is l > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 5*x - 1. Let j be l(6). Solve 4*v = h + 10, v + j = 4*h - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 + 1)\/((-9)\/6). Let k(t) = -2*t + o*t**2 + 0 - t - 2*t**2 + 2. Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48601 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/9 and (-20)\/(-55)*(-38)\/(-8).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -b. Let c = b + 3. Solve -2 = -z + c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/((-1)\/(-4)). Suppose 0 = 7*f - 8*f + 12. Let a = l + f. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23462814.29 rounded to the nearest 1000?\nAnswer: 23463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -20*l**2 - 1563*l - 218. Give w(-78).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5265, 2\/7, 0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -8, -19, -44, -89?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23b + 225dae?\nAnswer: 2260ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h + 13. Let u(v) = -8*v - 11. Let l(i) = 4*t(i) + 5*u(i). Determine l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 + 0 - -2. Solve 4*w - v = -5*z, -4*w = -3*z + w - 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhdd when four letters picked without replacement from {h: 5, y: 1, b: 6, t: 3, d: 2}?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x + 6*x + i + 12, 0 = -4*x + 4*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence olos when four letters picked without replacement from lllloooolssooloos?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.75. Let r = k - 0.2499932. Round r to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 1)*(-1 - 1 + 0)*(-4*p**2 + 4*p**2 + 4*p**2) in the form d*p + u + w*p**2 and give w.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156436 by -37.\nAnswer: 4228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26, 25, 26, 29, 34, 41?\n\"Answer: i**2 - 4*i + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/10137 and 77\/1635?\nAnswer: 50685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n\/(n\/n**(-2\/17))*n\/(n**(-9)\/n*n)*n*n*((n\/(n*n\/n**(-9))*n)\/n*n)\/(n*n\/(n\/(n**6\/n)))*((n*n**(-11))\/(n\/(n\/n**7)))**(-15) assuming n is positive.\nAnswer: n**(4333\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -640341182 and 0.7.\nAnswer: -640341181.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34414277?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 + 12818*x - 41075281.\nAnswer: -(x - 6409)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*d + 588 - 169, 5*d - 765 = 5*j. What is the units digit of -20 + 19 + (6 - 0) - j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0995 + -538.9005. Let i = 539.000008234 + j. Round i to 7 dps.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4375*v**2 + 2*v - 4298*v**2 + 0 + 4 - 4 - 85*v**2.\nAnswer: -8*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 9:43 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*k + 64985, 2*q = -61 + 51. List the prime factors of k.\nAnswer: 5, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, 24947, -3 in descending order.\nAnswer: 24947, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 - 49*v + 7. What is the units digit of h(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/7 - 2*o**3\/7 = 0. What is o?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1077*j + 4304. Let l be r(-4). Let m(h) = -6*h**2 + 1. Let g be m(-1). Sort 1, g, 2, l in descending order.\nAnswer: 2, 1, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (2 - (43 + -41))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22093, -44209, -66335, -88471, -110617?\nAnswer: -132773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 5*m - 45. Let r(t) = -2*t**2 - 3*t + 23. Let p(o) = -3*d(o) - 5*r(o). Is p(0) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/59 (b) -4 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + 3*j - 14. Let t be c(6). Solve 0 = 3*o + o + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -110.3, -1, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 383598 and -1?\nAnswer: -383598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 + 5*c - 2. Let s be 2\/(-11) - 92\/(-22). Let i be y(s). Suppose 0 = -i*m - m + 249. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*d - 0*p + 2*p, -4*d + 16 = -4*p. Solve 21 = 5*t + d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1921754, 1921811, 1921844, 1921847, 1921814, 1921739?\nAnswer: 1921616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 132 + -474. Let x = s + 534. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376.8293*0.9\nAnswer: -339.14637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126780.\nAnswer: 2, 3, 5, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 639 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.08, 1\/29, 0.1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*v = -144*v - 1769 + 257 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 8*z**2 - 24*z - 18. What is g(-9)?\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3644?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -684, -0.075, 2?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofiyk. Give prob of picking 1 f and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 9*m - 3183 = 12*m, -4*c - 5*m = -12783. Suppose 21*z - c = 5376. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-105) + (-3001)\/(-15). What is the highest common divisor of l and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140130.8654 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -i, 0 = o + 4*i - 3*i - 8. Let c be (4\/6)\/(4\/o). Let q(l) = -2*l - 3*l**2 + 1 + l**2 - l**2. Give q(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 - 42*c - 235.\nAnswer: (c - 47)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 - 246 = 12*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (27 - (-21 + 32)) - -27.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0 = -10. Suppose 0 = 2*g + 2*q + 4, 5*q - 19 = -44. Sort 5, g, -5, s in descending order.\nAnswer: 5, g, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 2. Let s(g) = 3*g + 6. Suppose 0 = 29*n - 37*n - 56. Give n*p(r) + 2*s(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wssuou. Give prob of picking 2 s and 1 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -7*s - 10 - 102 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.91 and -0.008?\nAnswer: -0.03128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1581\/(-1632) - 57\/(-608).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 144. Suppose 2*w + 2 = 4*u, 4*u = q*w + u - 3. Solve w*v + 5 = 5*y + v, 0 = -5*y + v + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10211211001 (base 3) to base 6\nAnswer: -1342214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r - 3766 - 3506 = 0. Let a = -300 - r. Solve 1\/4*i + i**2 - 1 - 1\/4*i**a = 0 for i.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 6*q**3 - 6*q**3 - q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32963 - -66734. List the prime factors of g.\nAnswer: 3, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5575 - -5581. Solve c - 15 = 4*n, n - z = -2*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*s - 20. Let q(l) be the first derivative of -2 - 3*l + 3*l**2 - 1\/3*l**3. Give q(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 1798 = 27728. What is the remainder when l is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let l(k) = 6*k - 10*k - k. Calculate j(l(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13952, 29516, 45080, 60644, 76208?\nAnswer: 91772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*y + 201 - 511. Sort 2, -2, -74, -9, y.\nAnswer: -74, -9, -2, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*o + 51*o + 345 = 0. What are the prime factors of o?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102265 (base 7) in base 15?\nAnswer: 535d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3100, -3095, -3086, -3073?\n\"Answer: 2*t**2 - t - 3101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -554.308 + -2.792. Let x = v - -557. Put 1.6, -3\/7, -1, x in increasing order.\nAnswer: -1, -3\/7, x, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2064348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 1 - 5\/6*i + 1\/6*i**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -14, 0, -2\/9, -4, 5.\nAnswer: -14, -4, -2\/9, -1\/7, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 108127621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445 is divided by 303?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*a + 1 = -2*f, 4*a - 3*f = 0. Let b = 1 + 2. Suppose 0 = a*c + 2*u - 439, 3*c + b*u + 248 - 689 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*t - 40*t + 6016 = -8*t + 26*t for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/120*3*-7115?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. What is the remainder when m(-38) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a minute in milliseconds?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 21 = -21. Solve n = 2*r - 0*d + 3*d - 11, -4 = -2*r + 4*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*c + 88*c = 28*c + 1002 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/(-3)*-6) - (21120\/6640)\/88?\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*x + 8*x. Suppose x*g = -9285 + 87690. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z. Let u(b) = -6*b. Let s(a) = -2*a. Let n(r) = 21*s(r) - 6*u(r). Give m(n(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1111*r**3 - 101*r**2 - 101*r + 101. Let s(y) = -y**3 + y**2 + y - 1. What is 2*l(f) + 202*s(f)?\nAnswer: 2020*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 847 by -1.\nAnswer: -847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/1138642597?\nAnswer: 2\/1138642597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y**(5\/2)*y)\/y))*y*y\/(y\/(y\/y**(5\/2)))*((((y\/(((y**(-2\/7)*y)\/y*y)\/y*y))\/y*y)\/y)\/y)\/y**18 assuming y is positive.\nAnswer: y**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 4*f - 2. Let m = 15 + -19. Is 14 a factor of r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -50*z**2 + 8858*z**3 - 9822*z**3 - 2 - 5*z**2 + z**4 + 7*z wrt z.\nAnswer: 24*z - 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.21, -3019\/530, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1100071 (base 9) to base 11\nAnswer: 373768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(405) - sqrt(5))*2 + 5.\nAnswer: -74*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -8ac78e?\nAnswer: -8ac790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t**2 - 5*t + 5*t)*(3*t**2 + 0*t**2 - 4*t**2) - 18*t**4 + 499 - 528 + t**4 to the form i*t + a*t**4 + m*t**3 + w*t**2 + v and give v.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 3*j**2 + 5*j - 4. Suppose 5 = 12*h - 17*h - 4*p, 0 = 2*h + 2*p. Calculate r(h).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 1795 = -38*s. Calculate the remainder when s is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 52 - 52 + l**2. Let b(t) = 38*t**2. What is o(b(v))?\nAnswer: 1444*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23560 - 924*k + 23560)*(k - k + k) as y*k**2 + n*k + g and give y.\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-1))\/((-21)\/(-14)). Let l be (-9122)\/10 + (-4)\/o. Let m = -619 - l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2184 and 20\/12393927.\nAnswer: 99151416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*(-1 + sqrt(475)*4 + 0 + (sqrt(19) - (sqrt(76)\/sqrt(4) + -5)) + (sqrt(1900) + -1)**2).\nAnswer: 15240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*n + 4*r, -5*n + 5*r = -2*n - 23. Let u = n - 3. Solve 4*b + 4 = -u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 33509*k**2 - 435788*k + 7. Determine z(-13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 11 + 2*a - 8)*(1 + 0 - 2)*(-999*a**2 - 47*a**3 + 999*a**2) to the form v*a + r*a**3 + c*a**2 + u*a**4 + i and give u.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -467?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14696*h = -14753*h + 1995 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + -1 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3 + 5)*(-5 + -12). Let x = -16 + b. Solve -5*h = -2*l - 23, -3*l + x = -7*l + h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {b: 2, w: 1, d: 1, e: 2, l: 1, y: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/9*(-1)\/9 and 16\/45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*d - 7*d + 3*b - 25, -4*b = 7*d + 75 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*21\/(-14))\/((-5)\/2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/122904 and 95\/179244.\nAnswer: 611939016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 554177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-9 - -8) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1211.\nAnswer: -1211, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 11*k - 879 = 3*z, 0 = 2*k - 3*z - 1749. Let j = 1741\/2 - k. Factor 3\/2*h**4 - j - 2*h**3 + 2*h - h**2.\nAnswer: (h - 1)**2*(h + 1)*(3*h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwqrwwwjwwwwwkwwrw. Give prob of picking 2 r and 2 w.\nAnswer: 11\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5246707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 6*m + 5. Suppose -4*b - 56 = 3*b. Let p be s(b). Suppose 3*c = -w + 139, -52 = -c + 5*w + p. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(-25)\/(r**(2\/3)\/(r*r**(-1)*r*r)))**21 assuming r is positive.\nAnswer: r**(-1022)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(125) - (sqrt(125) - sqrt(125)*2 - sqrt(125))*-5) + -1 - (6*sqrt(125)*-1 + 1)) + 5)**2.\nAnswer: 1560*sqrt(5) + 18169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/32863 and 26\/531.\nAnswer: 295767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3957*w - 16 = -3965*w. Let z(o) = -3*o - 10. Give z(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from uhhuuuyuuyyu?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**5 - 4*g**3 + 4*g**3 + g + (0*g - 2*g**2 + 0*g)*(0*g**3 - 4*g**3 + 2*g**3).\nAnswer: 6*g**5 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -234142 (base 5) in base 6?\nAnswer: -104052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 514628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325 - -442. What is the remainder when o is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4*p**3 - 91*p**2 - 118*p - 79. Give h(24).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/12 and ((-251)\/168)\/(-1) + 2\/(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2505 + 6410. Suppose 4*k - 15602 = -2*o, -k + o - 12 = -s. Round k to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, b: 2, a: 2, x: 2, u: 3}. Give prob of picking 1 x and 1 u.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 455*g - 32845. What is p(-90)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -p + 27, o - 4 = -4*p + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.75 and 1700979.\nAnswer: 1275734.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -83*m**2. Let p(q) = -30*q**2. Give p(k(l)).\nAnswer: -206670*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i. Suppose 146 = -3*d - 3*b + 1352, -4*d + 1616 = -4*b. Let m = 402 - d. Let x(q) = -1. Determine m*x(z) - 2*o(z).\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1005289 and 3?\nAnswer: 3015867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/9 + 22*f**3\/9 + 34*f**2\/9 - 22*f\/9 - 4 = 0. What is f?\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 8217.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5331a (base 12) to base 4\nAnswer: -122230012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6797\/2913 - (-23)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 - 22?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2798262 and 498.\nAnswer: 2798262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -174313885?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -123016, -488582, -1097860, -1950850, -3047552, -4387966?\n\"Answer: -121856*n**2 + 2*n - 1162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0\/x)**(-10\/11)\/(x**(-2\/9))**34 assuming x is positive.\nAnswer: x**(838\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -57177 (base 12) in base 9?\nAnswer: -186121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 14*r + 12*r - 17*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8, 5, 2, -1, -4?\n\"Answer: -3*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302181439, -302181435, -302181435, -302181445, -302181471?\nAnswer: -302181519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 0. Let q = 2 + c. Let j be 12 - 4 - (q - -2). Solve 0*p = 3*p - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.87 + 1.9. Let z = -0.07 - i. What is the third smallest value in 5, z, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 11:24 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 + -13255?\nAnswer: -13258.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716.442 millilitres in litres?\nAnswer: 4.716442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -8*o + 27. Suppose -o = -k + 1. Solve -9 = 2*n - k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1623320841 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32 or -422\/13?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 22*j**2 + 54*j + 149. Let t be g(-24). Put 18, t, -6, -4 in decreasing order.\nAnswer: 18, t, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p**3 - 2*p**2 + 51*p - 508. Is 206 a factor of f(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2. Let a(s) = 20*s - 2. Calculate b(a(p)).\nAnswer: -400*p**2 + 80*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2965.992995 + -2966. What is t rounded to 4 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -707278 and 4.\nAnswer: -707274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -17 - (-3 + 3) - 24 - -59\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, 47, 14.\nAnswer: -191, 14, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q + 17*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*o = -199*o - 156*o - 1719 + 25443 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccvcvttc.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6 = 4*x - 31, 4*x - 7 = g. Let i(s) = s + 6. Let o be i(-9). Put 4, x, 2, o in decreasing order.\nAnswer: 4, x, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*q - 2*p, 0 = -q + 3*p + 2*p - 13. Suppose q*g + 9900000 = -g. Round g to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5 - 399213*o - 399215*o + 798424*o. Let n(w) = 2*w**2 - 3*w**2 + 2*w**2. Determine z(n(p)).\nAnswer: -4*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 6. Let h = j + 4. What is the greatest common factor of h and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - -1. Let a = t + -52. Suppose -2*d = s - 300010, 0 = -4*d + 28 - a. What is s rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 23 = -7*p + 2*p, 5*a - 5*p = 215. Suppose 4*d - 54 = 3*b, 2*d - a = 3*b - 0*d. Let n = b - -23. Calculate the greatest common divisor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2995 - 42.6295. Let z = 42 + n. Let d = -0.13 - z. Is d != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(187)*-2 + sqrt(187) + sqrt(187)*-2*-4)*2)\/(1*(sqrt(1584)*2 + sqrt(1584)) - sqrt(1584)*2*5).\nAnswer: -17*sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -20, 5*w - 7322*m + 7320*m = 8 + 57 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 262249 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -99422 at most 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(265070014*h**4 + 1 + 10*h**2 - 265070021*h**4 - 5*h**2) in the form q + n*h**4 + x*h**2 + a*h + r*h**3 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-515)\/(-40) + -13 - (-19)\/(-8)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 60240*a + 663124.\nAnswer: -4*(a - 15071)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 27, -5, -35, 2 in decreasing order.\nAnswer: 27, 2, -5, -20, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = h - r, 0 = 2*h + h + 2*r + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 0*a - a)*(2*a - 4*a + 13*a)*(8*a - 2*a - 3*a)*(a + 2*a - 4*a) as n*a**4 + i*a**3 + o*a + b + c*a**2 and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.866 - -23.366. Let t = 0.3 - 0.5. Which is the nearest to t? (a) 0 (b) -3 (c) z (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7141395279 from 0.02.\nAnswer: -7141395278.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4042813786 to the power of 1\/2, to the nearest integer?\nAnswer: 63583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 152373, 152371, 152369, 152367?\n\"Answer: -2*y + 152375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 4:32 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2 + (-9)\/(-4)). Let c(m) = m**3 - 4*m**2 + 5*m - 4. Let k be c(3). Suppose -x = -2*o - d - k*d, 5*d = -20. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7185479 nanograms in milligrams?\nAnswer: 0.0000007185479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -4. Let b(o) = 2*o**3 - 2*o**2 + 3*o - 3. What is the remainder when b(a) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - r)*((2 - 2 + 2)*(0 - 1 - 1) + 3 - 1 + 1 + (-5 + 1 + 3)*(5 - 2 - 4) + 1 + 3 - 2)*(-r + r - 2*r) to g + i*r + o*r**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135639522?\nAnswer: 2, 3, 157, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3337371313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + p - p + (2 + 5 - 5)*(-1 + 3 - 4)*(-3*p + 2*p**2 + 3*p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6828, 27377, 61624, 109569, 171212, 246553, 335592?\nAnswer: 438329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19 = -1. Let n = 17 - -2. Calculate the remainder when n is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496407?\nAnswer: 3, 165469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + s = -6, 3*v + 58 = s - 34 + 97 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ytlz when four letters picked without replacement from {m: 2, y: 1, z: 6, t: 2, h: 1, l: 5}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 436*w**3 - 10*w**2 - 6*w - 4. Let u(q) = -7*q**3. Let o be 4\/6*(-6)\/(-4). Let m be u(o). Let s be g(m). Round s to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*v + 30 = 0, -21 = 3*m - 2*v - v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**3 + 33*d**3 - 86*d**3 + 28*d**3.\nAnswer: -11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1513 + 4541\/3. Which is the closest to p? (a) 5 (b) 9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - j. Let r(x) = 1858*x**2 - 9*x. Give -18*g(a) + 2*r(a).\nAnswer: 3662*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 4. Suppose 0 = -5*d - f + 74, -k*f = -2*f + 2. Suppose 2*n + n - d = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 505.1 and 0.35204.\nAnswer: 505.45204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 926 is divided by (-465)\/((-378)\/14 + 24).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74156500 divided by -500\nAnswer: -148313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/19 (b) -1\/23 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20689 and 4701271.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 266.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12082, 11952, 11820, 11686?\n\"Answer: -m**2 - 127*m + 12210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 22055 = 5*o - 18*g, 25 = 5*g. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89121 < 89077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3)\/p**(2\/7))\/(p**(-1\/2))**48 assuming p is positive.\nAnswer: p**(484\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 54.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23970 + -71921\/3. Put -31, 3, y, 2\/7 in descending order.\nAnswer: 3, 2\/7, y, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -80*y**2 - 2*y + 11. Let n be f(-9). Let q = 52549 - n. Round q to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28842 is divided by 365.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 2\/5, 4, -23, 0.1.\nAnswer: -46, -23, 0.1, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 47 + -33. Let j(v) = v**3 + 13*v**2 + 41*v + 10. Let x = -133 + 125. Let n be j(x). Solve -2*g = -4*b + 4, 2*b = -g - n*g - c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 166655 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*(sqrt(448) + 1) + -2*(-1 + sqrt(448) - sqrt(448)) - (0 + 3 + sqrt(448) + -1))*-3)**2 + 3.\nAnswer: 432*sqrt(7) + 4116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3279, -1, 5, 2\/11, 13, 1\/5.\nAnswer: -1, -1\/3279, 2\/11, 1\/5, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -296, -309, -322, -335?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130853 and 1634.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549910730.\nAnswer: 2, 3, 5, 367, 140773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j\/(j\/(j**7\/j*j))))\/(j\/((((j*j**(-1\/12)*j*j)\/j)\/j*j)\/j*j)))\/((j*j**(-3))\/((j**(-1\/9)*j)\/j)))**(-3) assuming j is positive.\nAnswer: j**(151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -7*w**3\/3 + 331*w**2\/2 - 26*w + 3. Calculate j(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2)*(-8)\/10*7264. Calculate the greatest common factor of 16 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 1 + 3. Suppose 2*b - 27 = -5*q, 3*b - 42 + 13 = o*q. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -11*a**3 - a**2 - a + 1. Let v(z) be the second derivative of z**4\/12 + z**3\/3 - 6*z**2 - 13*z. Let w be v(-5). Let y be 4\/w - 3*4\/36. Give l(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 674, 1397, 2120, 2843, 3566?\n\"Answer: 723*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*c + 13963, 0 = -15*n + 12*n - 5*c + 8384. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o - 29*o + 198 = 40*o for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 6272*s - 81528. Give o(13).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 7*d + 6. Let p be b(4). Let f be (-4)\/(-8) - 6\/(-12). Let y = f - p. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 42?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 479\/4 - 120. Put -3, -42, w in descending order.\nAnswer: w, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277849?\nAnswer: 11, 13, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a617a + -3?\nAnswer: -3a6182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203394 at least 195717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*f*j*z - 2*f*j - 3*f*z**3 + 117*f*z - 44*j*z**3 - 2*j*z + 77*z wrt f.\nAnswer: -4*j*z - 2*j - 3*z**3 + 117*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2937214 is divided by 115?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/((-897)\/115) - (-78)\/(-14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -9729, 1, 2 in increasing order.\nAnswer: -9729, -4, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260)\/(-160))\/((-25)\/(-200))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 62, 74, 98, 140, 206, 302?\n\"Answer: p**3 + 5*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**3\/2 - h**2 - 4*h - 21. Let y(t) be the first derivative of l(t). Suppose 9*i = 5*i - 16. What is y(i)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 18. Sort -2.04, -1\/3, u in ascending order.\nAnswer: u, -2.04, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81*-13.\nAnswer: -1053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 216, 644, 1292, 2166, 3272, 4616, 6204, 8042?\nAnswer: 10136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*m - 5. Suppose -4*h + 737 = m*y, h - 2*y - 2*y = 200. Let w(p) = -h + 188 + p. Calculate w(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -67 - 15*z + 0*z**3 - 62\/5*z**5 - 1\/2*z**2 + 0*z**4. What is the second derivative of h(w) wrt w?\nAnswer: -744*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**3 + 0*h**3 - 3*h**3)*(2 - 2 - h)*(-2 - 3 + 6) - 1 + 1 + 2*h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16520423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 67 - 3*o**2 + 14 + 53.\nAnswer: -3*o**2 + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1)*((-3)\/(-4) - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 2*a**3 - 2*a**3 + (1 + a**2 - 1)*(-a + 4 - 4) + 7*a**3 - 3*a**3 + 3*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3*r + 1 = 3*q, -5 = -3*q + 2*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**3\/6 - 5*z**2\/2 + 19*z - 1. Suppose -4*y = 37 - 13. Let q = y + 11. What is o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1575)*-6*-4)\/(1*((2*sqrt(81))\/sqrt(9) - sqrt(36)\/sqrt(16))).\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 18. Let f be r(0). Let x = f - 11. Suppose -4*o + 0*o + 308 = 0. Calculate the greatest common divisor of x and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9 - 82*f**3 + 3*f + 4*f - 4*f - 3*f**2 + 81*f**3. Let h be l(-3). Solve 0 = 5*c - h*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 4*x**2 + 4*x + 5. Let w be b(5). Suppose w = -4*s + 25 - 5. Suppose -3*n = -2*n + s. Sort -2, 0, n in descending order.\nAnswer: 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/9)\/((-195)\/(-1170)). Let k = -23.021 - -0.021. Is f less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 414 in descending order.\nAnswer: 414, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 34, 44, 58, 76, 98, 124?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 42431463 and 42431462 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 187 = -4*k. Suppose 3*x + 2*x + k = 0. Let n = x - -13. Solve n + 4 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(2) - (sqrt(50) + -1)).\nAnswer: -5 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1 times 0.06?\nAnswer: 0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -31, -35 in decreasing order.\nAnswer: 3, -5, -31, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 5*q**4\/24 - 14*q**3\/3 - 7*q**2. Let d be r(-18). Let k = -12 - d. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.6 + -0.6. Let q be (-5)\/(150\/(-116)) - 4. What is the nearest to 0 in q, k, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 13\/7, -31, 33, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*q*s*u - 8*q*s + 183850957*q*u + 4306*s*u - 14*s wrt s?\nAnswer: -23*q*u - 8*q + 4306*u - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90461\/5 + -18093. Let f = 0.03 - -0.97. Which is the nearest to f? (a) 4 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4720 + -4719.99999632. What is j rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*v + 919 - 1955 = 1250 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 66*q**2 - 5347*q + 218. Give l(81).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + v + 0 = -4, -v = -2*j + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23026, 23333, 23848, 24571, 25502?\nAnswer: 26641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15820227 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5711 * 0.2.\nAnswer: -1142.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 59747.9347 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*g**2 + 231*g**2 + 16 + 2 - 26 + 8 - 453*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 4. Let n be v(-2). Let q(b) = b**3 + 2*b**2 - 2*b - 2. Let d be q(n). Suppose 5 + 3 = d*i. Solve 3*j - 16 = i*u, -3*j + 8*j - 21 = u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528889783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 73*p + 10. Let t be v(-2). Let l = t + 140. Solve l*a = a + 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*-5*(-8)\/120. Let k = 0 - 0. Which is greater: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 3*p**3 - 2*p + 0*p**3)*(85*p + 130*p - 110*p)*(4 - 10 + 10).\nAnswer: -840*p**4 - 840*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Let a be -1*(-6)\/(-28)*f. Suppose -5*c = -2*o - 2 + 13, -o + 5 = -2*c. What is the smallest value in a, c, 0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 0 - (11 + -11). Suppose -4*s = 5*w - 58, -41 = -4*w - 0*w - h*s. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -3*4\/(-3). Let n = 58 - 40. Let q be 4\/n - 94\/18. Sort q, -1\/6, a in decreasing order.\nAnswer: -1\/6, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -81 + (38 - 232\/(-80)*-10)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 16*f - 31. Let z be k(-18). Solve -z*o + 7*o - 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6993*t**2 + 1511*t**2 + 2898*t**2 + 1862*t**2.\nAnswer: -722*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2045, 2185, 2419, 2747, 3169, 3685, 4295?\nAnswer: 4999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 5:46 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 69.7356 and -0.5.\nAnswer: 69.2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 2. Let d be l(5). Suppose -12 = -d*r - 9. Is 615\/21 + r - 8\/28 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4457*w - 1368*w + 351120 = 2634*w - 2189*w for w.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 40, 66, 96?\n\"Answer: 2*o**2 + 16*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4\/(-24) - 91\/(-6) and 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 33*y - 4*y. Suppose -2*t = -2 + 32. Let a = 15 + t. Sort -5, 5, a, y in decreasing order.\nAnswer: 5, y, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/11340 - m**6\/810 - m**5\/135 - m**4\/3 - 5*m. Let n(d) be the third derivative of o(d). Factor n(y).\nAnswer: -2*(y + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -489, 5, 4, 61 in decreasing order.\nAnswer: 61, 5, 4, -489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80656?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9900659 - 9900547.000047. Let z = -111.885 - 0.115. Let s = h + z. What is s rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-42) + 61120\/8022\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46050 and 157481790?\nAnswer: 787408950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (37 - (71 - 35)) + 22\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(-3550)*(9 + 1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040917 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28654910 divided by -28654910.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 66465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = 0, -t - 2*z - 6 = -2*t. Suppose 4*q = -t*h + 2*q, 0 = -3*h - 4*q. Solve -k + 2 = -o, 0 = -h*o - o + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*r = 299, 0 = 3*i - r - 0*r - 178. Let p = -54 + i. Suppose 3*b - 2*h - 421 = 0, 3*h = -p*b + 5*h + 703. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11 - 106*x**2 - 10*x + 105*x**2 + 2*x. Suppose 3*m + 20 = -4*k - 22, -3*m - 51 = 5*k. Determine y(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9178?\nAnswer: 2, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 169577013 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/6*112\/98.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45486 or 454869\/10?\nAnswer: 454869\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4.4+13\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-4 + 1)*1. Differentiate 3 - 3 + j + 1 - w with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 12222201110221?\nAnswer: -12222201110211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1664679, -1664617, -1664555, -1664493, -1664431?\n\"Answer: 62*b - 1664741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 3, x: 1}. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (2 - (6 + 3 + -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 11:53 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4 - 16. Let j be (271*1)\/(-5 - g). Let k = j + 399. What is the greatest common factor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1814)\/(-6) + 3\/(-9). What are the prime factors of c\/10 - 1\/5?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times -2554?\nAnswer: -137916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -20*b**3 + 9*b - 5. Let o(u) = 50*u**3 - 22*u + 12. Give -5*o(p) - 12*t(p).\nAnswer: -10*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -70 - ((-7 - (-16 + 9 + 8)) + -7 + 7)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(64)*-1))**2 - sqrt(15)\/((sqrt(10)*4)\/sqrt(2)).\nAnswer: -sqrt(3)\/4 + 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201202212 - 2?\nAnswer: -2201202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -12 + -7 + 16. Solve 0 = f - 3*t + 4, -5*f + 8 - i = -3*t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3879103 - 39103 = 2*s. Suppose -3*c + 0*c = s. Round c to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 + 111. Let b be 8\/((8 - 5) + j). Solve 0 = -7*h + 3*h - b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-21) - (-31)\/(-3). What is the tens digit of 4\/b - (-22729)\/85?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022120010 (base 3) in base 2?\nAnswer: -1011001000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.04 (c) -3 (d) 3 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**6\/240 + u**4\/12 + u. Let b(q) be the third derivative of v(q). What is the units digit of b(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6688 and 19456?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u**2 + 5*u + 21. Let o(n) = -2*n - 10 - 2*n**2 + 5 - 5*n + 6*n. Determine -9*o(i) - 2*q(i).\nAnswer: 2*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4996 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2304 - 2307. Let t = -1.1 - -1. Let w = t + 0.2. Which is the second biggest value? (a) y (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 2*f + 22. Let k(a) = -11*a - 5*a**2 - 111 + 17*a**2 + 4*a**2. What is 2*k(n) + 11*v(n)?\nAnswer: -n**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nss when three letters picked without replacement from ningikniiskiinsnikn.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 11) in base 10?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-18) + ((-3)\/10)\/(-3). Let x be (-2)\/(-26) + (-28)\/(-2730)*-40. Which is the third smallest value? (a) 2\/9 (b) z (c) x (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let c be -3 + z + 17 + 0. Solve 16 = 2*b + 2*r, -5*r + c = -r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -970611.5?\nAnswer: -97061.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**12*t)**(-4\/29) assuming t is positive.\nAnswer: t**(-52\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 6*u**3 + 7*u**2 - 7*u + 3. Suppose -108*f = 130 + 113 + 81. Let h(i) = -3*i**3 - 3*i**2 + 3*i - 1. Determine f*x(t) - 7*h(t).\nAnswer: 3*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 19*c + 129. Is v(-9) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**2 + 0*v**4 + 40 - 32\/5*v**5 + v**3 + 0*v. Find the third derivative of s(y) wrt y.\nAnswer: -768*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -132984 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5 = 4. Let f be z\/2 - 54\/(-4). Suppose i - 1 = f. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(-2)\/12*9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.4 + -3.4. Which is greater: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(4800) + 2*sqrt(4800)) - (sqrt(4800) + sqrt(4800) + 0 + -4)) + -4*(sqrt(4800) + -3*(sqrt(4800) + sqrt(4800)*-2)))**2*-2.\nAnswer: -1382432 + 7680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*n**2*o**3 + 21*g*n**2 - 38*n**3*o**3 + 2*n**3 with respect to o.\nAnswer: -6*g*n**2*o**2 - 114*n**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 371923033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 - -115. Do -80 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -108184?\nAnswer: 432736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 6*c**2 - 3*c - 6. Let n be r(-6). Suppose w = -0*w + n. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 5 + 21*z + 2*z**2 - 4 - 67*z in the form l*z**2 + s + u*z and give u.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -277597 from 14.3.\nAnswer: 277611.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 394647.\nAnswer: -1\/394647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 17. Suppose -r + 5*r + 5*f - 3 = l, 8 = 2*r - 4*f. Calculate the smallest common multiple of r and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {b: 5, z: 5, a: 4, u: 1, s: 1}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (2 - -1))*(-4 + -1). Calculate the highest common factor of v and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202445*t**2 - 322378*t?\nAnswer: -404890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*t**2 - t*x**2 - 265*t*x - 2*x**2 - 11*x - 221 wrt t?\nAnswer: 52*t - x**2 - 265*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415171 is divided by 4370?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111 (base 2) in base 9?\nAnswer: -276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 22 + 5*b + 17 - 81 + 31 as z*b + q and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/1*2 + 4. Let f be 258\/90 + 2\/15. Suppose -4*d + 13 = -5*p - 2, 0 = 3*d - p - f. Solve -3*n - g - 9 = d, -n + i*g - 13 = -g for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11560)\/75140*1\/(1\/(-1))*(-13)\/(-7)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m - 9. Let a(c) = -4. Suppose 3*u + 5*g - 2 = 0, g + 64 - 104 = -5*u. Let v be (-4)\/(-14) + (-30)\/7. What is u*a(j) + v*i(j)?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 0.4, -0.763798?\nAnswer: -0.763798","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 + 3 + -12)*335\/(-6)?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 8:49 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2*(-1)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -8 - 6*(-33)\/(-1188)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 224.599 decades?\nAnswer: 22.4599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 338624 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -57 + 33 + 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*f**2 + 10*f**3 + 89*f**2 - 3 + 2 + 61*f**2 as q*f + h + g*f**2 + x*f**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 86 = 3*m + 2*v, 0 = 5*m + v + 223. Let k = m + 115. Suppose 0 = -g - a + 29, -4*a - k = -3*g + 45. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470866 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 225.75 + -18.13. Let u = -219 + m. Let n = u + -0.92. What is n rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -247487\/18 - -13745. What is the common denominator of 37\/392 and v?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (4\/6)\/((-3)\/(-72)). Let b = -21 + 91. Suppose 11 = 4*k - 4*a - 37, -5*k + b = -3*a. What is the highest common factor of h and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30624 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1, -2\/5, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -9. Let t = w - -23. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 3*v**3 + 1\/2*v**2 + 0 - 2*v. Let s(g) = -2*g - 11. Let n be s(-5). Calculate q(n).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1042174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1. Let w(s) = 9*s**2 + 2*s + 4. What is -2*o(k) - w(k)?\nAnswer: -9*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 - 26 = 39*w + 142 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 10.391488126?\nAnswer: -20.391488126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*z**4 + 69*z**2 - 735*z - 8173286?\nAnswer: 20*z**3 + 138*z - 735","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 155*f - 6658. Calculate c(43).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19985023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - -4 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000011101010000101111 (base 2) to base 9\nAnswer: 4148141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 786 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*a**4 + 4*a + 16\/3*a**2 - 6 - 4*a**3 = 0. Calculate a.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 - -64.88. Let o = q + 0.12. Let t be ((6\/(-27))\/(-2))\/(1\/(-2)). Which is the biggest value? (a) o (b) 0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 807*r**2 - 147*r**2 + 652*r**2 + 289*r**2.\nAnswer: 1601*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/28 and -31\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 825 = -5*z. Let i = -75 + z. Suppose i = -6*u + 360 + 612. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 11276716992?\nAnswer: 11276716992.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 52 + 3*r + 11*r - 12*r. Let u be c(-21). Let v be 12\/2*(-8 + u). Calculate the greatest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5252 and 1919?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477 is divided by 374?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011100 + -101001010100111?\nAnswer: -101000111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s**2 + 2*s + 3. Let c be k(-2). Let y be c + ((-1)\/2)\/(-1). Factor y*r + 3\/2*r**2 + 1.\nAnswer: (r + 2)*(3*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y. Let l(z) = 7*z**2 + 8*z**2 - z**2. Determine a(l(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 16*h - 69. Is h greater than or equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -125? (a) -0.1 (b) -3 (c) -4 (d) 296 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*c**3 + 43*c**2 - 43*c**2 in the form m*c**2 + a + w*c**3 + s*c and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2692395 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-5)*2)\/(2\/(-20)). Suppose 1 = -3*f + c. Let y be 1*(-1 + (f - 0)). Solve -2*u + 0*u = y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17084206?\nAnswer: 2, 661, 12923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/200 and 87\/20?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -150 in descending order.\nAnswer: 4, 2, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 36 = 6*x. Let u(r) = 3*r**3 + 2*r - 2. Let q(p) = -4*p**3 + p**2 - 4*p + 2. Let n(d) = x*u(d) + 2*q(d). Calculate n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37592 - -37591.83. Put 3, 25, 5, f in descending order.\nAnswer: 25, 5, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(5*p**2 - p**2 - p**2).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -20*z + 21. Let p(o) = 5*o - 5. Let k(j) = -4*l(j) - 18*p(j). Let b be k(1). Sort b, -9, -0.2, 2 in descending order.\nAnswer: 2, -0.2, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6008?\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.06493 rounded to 1 decimal place?\nAnswer: 9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (7 - (10 + -3 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*w + 73*w = 9, 5*w - 3 = -3*q. What is the second biggest value in q, -31, 1\/5, -29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2133336899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((35\/15)\/(-7)). Suppose 2*y - 7 - q = -5*h, -h + 15 = 3*y. Suppose -2*r = -h*r - 4. Solve 0 = 2*i - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -401ef (base 16) to base 12.\nAnswer: -107ba7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*(243\/(-6))\/((-183)\/5972). Let n = a + 5287. Let s = 2832\/671 - n. Find the common denominator of s and 39\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**44\/c)\/c**(-43)*((c**(-5)*c)\/c)\/c**(-2\/13) assuming c is positive.\nAnswer: c**(1055\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69.29 - 69. Let r = 5.29 - j. What is the second biggest value in 0, -0.3, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/30 and 61\/165?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2395869 or -2395872?\nAnswer: -2395872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.6 + 18.4. Let q = c + -22.999988. Round q to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 673 less than -99.91?\nAnswer: -772.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 555, 1123, 1691, 2259?\n\"Answer: 568*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*i + 15, -3 = -5*f - 4*i + 2. Solve 0*j = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-12) - 1225\/490\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80192\/5 - -33439684\/2085. What is the common denominator of i and -19\/11?\nAnswer: 4587","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/13, -2817, -10\/137 in descending order.\nAnswer: 6\/13, -10\/137, -2817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than -6\/1693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/30 and -109\/13277412.\nAnswer: 66387060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*n - n + 11*n + n - 23*n - 8*n - n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 57*k + 2. Let v(g) = 552*g + 58. Determine 12*n(z) - v(z).\nAnswer: 132*z - 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-48))\/(46\/(-368))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**5\/20 - t**4\/2 + 5*t**3\/6 + 3*t**2\/2 - 30*t. What is l(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8973 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 1881.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-5) - 4)\/((-10)\/25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + 3*x**3)*(71996*x**2 - 630*x - 144003*x**2 + 71998*x**2)*(4 - 5 + 3).\nAnswer: -54*x**5 - 3780*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*k + 21 = 0, 2*x = x + 5*k + 4. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(1300) + (5*(-2 + sqrt(1300) + sqrt(1300)) - sqrt(1300)) + 5 + -1*(-1 + sqrt(1300)) + -4)**2.\nAnswer: -2520*sqrt(13) + 105496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.436288 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 7aa8?\nAnswer: 7aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.191 - 15.591. Let j = m - -15. Let s = 897 + -897. Which is the closest to s? (a) 1 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-21)*((-285)\/(-10))\/(-19).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:15 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*b**2 - 59*b**2 + 31*b**2 - 5*b**3)*(3*b - 4*b + 2*b) - 9*b**4 - 35*b + 35*b.\nAnswer: -14*b**4 + 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(70\/2)*-5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let h(t) = -4*t - 1. Give p(h(c)).\nAnswer: 8*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 140003?\nAnswer: 140003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3*(7 + -10). What is the units digit of 2\/k - 705\/(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 3*u**2 + u + 2. Let b be m(3). Let c(o) = o**2 - 6*o + 7. Determine c(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -26. Let l be (-16)\/(-7) + (-18)\/63. Let f be l\/(-8) - (-9)\/84. Is f less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15768807121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, -826, -5.\nAnswer: -826, -5, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8575.6 and -0.2?\nAnswer: 8575.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1257 + 7365?\nAnswer: 6106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 54\/45*5\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*h = -z - 14, -5*h = -4*z - 65. Suppose 5*f - 2*f = h. Solve 0 = 2*j - 1 - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4568436 + 6?\nAnswer: -4568430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.922 + -5.1. Let k = -0.278 - l. Let j = -0.02 + 3.02. Put 1, k, j in ascending order.\nAnswer: k, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 > -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = 4*k - 9, 0 = -3*z + 2*k + 27. Let j be ((-8)\/(-2))\/(-2*(z - 8)). Let s be (-2 - (-5 - -1))*(-7)\/j. Are s and -7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*z = 5, 4*l + 5*z = 45 - 0. Solve -2*a - 27 = 5*r, 0 = 4*r - 4*a + 6 + l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 6*j**2 + 8*j. Let p be h(7). Let x(s) = -p*s - 9*s + 4*s. Let r(a) = 2*a. Determine r(x(q)).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 0*w - w**2 - w**3 + 2*w**2 - w**4 + w**2 to j + n*w**2 + k*w + h*w**4 + v*w**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*l - 54*l - 110 = 0. Let z = -113.1 - -113. What is the nearest to z in 0.3, l, 3, -4\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of p**5\/20 - 17*p**4\/12 - 3*p**3 + p**2 + 20*p. Let u be t(18). Let h be u + 3\/2 + (-6)\/(-12). Solve -y + 6 = -h*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*r - 570 = -1708, 0 = -4*s - r + 2279. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {t: 4, x: 2, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 6*q**2 - 12*q + 20. What is the units digit of i(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 110.3\nAnswer: 115.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/((-6)\/15). Solve 21*b**3 + 7*b**2 + 8*b**2 - 12*b**u + 3*b**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21895*k**3 + 14802*k**3 - 9640*k**3 + 221*k**3.\nAnswer: 27278*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22228 = 2*t + 3*h, 0 = -4*t + 5*h + 39284 + 5216. What are the prime factors of t?\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 32\/24409?\nAnswer: 32\/24409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a factor of 954574155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -1.2 (c) 2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q - 7. What is the third derivative of -6*t**5 - q*t**2 + 0*t**2 + 14*t**5 wrt t?\nAnswer: 480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35611691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -457099\/84 - -21767\/4. Let f = 3996\/11 - 364. Which is the nearest to f? (a) 0 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -5 (b) -2 (c) -1 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 13*o - 19. Let i be w(5). Calculate the highest common divisor of i and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*47.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + b)*(11956 - 11928 + 48*b + 270*b).\nAnswer: 636*b**2 + 56*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-234)\/105 - ((-80)\/(-28))\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)\/(z*z**(-3)*z)*(z*z\/z**(-1))**(-2\/21)*z*z\/z**(2\/19)*z**(1\/2)*z**5\/((z\/z**(-1\/3))\/z*z) assuming z is positive.\nAnswer: z**(2215\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7275436 = 138*i + 1423822. What is i rounded to the nearest one hundred?\nAnswer: 42400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 41, 16.155 in decreasing order.\nAnswer: 41, 16.155, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 1 + 7*a**2 - 4 - 2*a + 3*a. Let d be x(-7). Is 16 a factor of (-80)\/(-3) - d\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -1\/3*s**3 - 5\/24*s**4 - 1\/20*s**5 - 2 - s**2 + 0*s. Let x(g) be the second derivative of h(g). Factor x(f).\nAnswer: -(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 7*z - 1\/2*z**2 - 10. What is the first derivative of v(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 358552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20304 divided by -24\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9*q)**(-38)*q**(5\/2)*q*q**(-3\/5) assuming q is positive.\nAnswer: q**(-3771\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33074 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(2494\/609)\/(-43)*7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 189? (a) 66 (b) -9\/17 (c) -1\/2 (d) 0.2 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 22*u - 36. Let w be r(-22). Let l = -6 - w. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.7264.\nAnswer: 3.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.85 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 11*r**3 - r**2 - 2*r - 1. Let k be -29 - (-1 + 2 + 2). Calculate the remainder when z(2) is divided by (-72)\/k*(14 + -2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -14*j**3 + 6*j**2 - 6*j + 925. Let d(l) = 2*l**3 - l**2 + l + 1. Give a(t) + 6*d(t).\nAnswer: -2*t**3 + 931","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16248 divided by -4?\nAnswer: 4062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (14 - (19 - 0))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (9 + -16) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. List the prime factors of 4\/6 - (-22)\/z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w + 3. Let b be n(5). What is the common denominator of b\/63 - (-8)\/(-28) and -38\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 4 - 2*c - 5. Let u(i) be the second derivative of -i**3\/6 - i**2 + 2*i. Calculate -2*p(t) + 9*u(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1014807424 divided by 32\nAnswer: -31712732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(64) + (sqrt(96)\/sqrt(2))\/sqrt(12))\/(sqrt(242)*2*4)*-6.\nAnswer: 9*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -4. Suppose -3*q + 18 = -l. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94786.19 * -4\nAnswer: 379144.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 63 - (8 - (-2 - -6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34356214 to the nearest integer?\nAnswer: 5861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 5*q**3 - 5\/12*q**4 + 40*q**2 - 7*q - 1. Let h(a) = 0. Calculate a.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 4:17 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + x**3 - 4 + x**3 - 2*x + 2*x - x**3 + 4*x**3 - 5*x**3 + 4 - 4 - 2*x**3 + (-2*x**2 + 0*x**2 + 4*x**2)*(-2*x + x + 0*x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -4, 136?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1296, -2637, -4002, -5403, -6852, -8361, -9942, -11607?\nAnswer: -13368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000 + 10000010001101100?\nAnswer: 10000010000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1157362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208388*s**5 - 3851*s - 21?\nAnswer: 4167760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -3, -3\/7, 5\/2, 1\/2 in increasing order.\nAnswer: -3, -3\/7, 1\/2, 4\/3, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*j - 0*v + 33, 0 = 5*j + 2*v + 51. Let r(l) = 8*l + 13. Let c(f) = 2*f + 3. What is j*c(h) + 2*r(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 12:15 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14.62648077 - 24\nAnswer: -38.62648077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(320) + 2*sqrt(320)*4 + sqrt(320) - sqrt(320)))\/((sqrt(640) + 3*((sqrt(640) - -2*sqrt(640)) + sqrt(640)))*2).\nAnswer: -45*sqrt(2)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1507341244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -421, -476, -561, -676, -821, -996, -1201?\n\"Answer: -15*d**2 - 10*d - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + -0.3. Let r = -0.76 + 5.76. Which is the third smallest value? (a) 3\/7 (b) k (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273478.8741833 + -3063.9552867. Let h = s + 276544. Let i = h - 1.17. What is i rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = 6. Let d(c) = c**3 - c**2 - 1. Let y be d(2). Differentiate h**2 + u - 1 - y with respect to h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 7*q**2 + 5*q + 13. Suppose 0 = -21*o - 2 + 128. Calculate n(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-three fifths of a gram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.14 - -2.4. Let d = 4.76 - 4.8. Let g = d - l. What is the biggest value in 3, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f + 35*f = 3*p - 10, -4*f + p = -14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22907 + -15838. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 905276.\nAnswer: 2, 227, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.071146 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17292 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 1\/112*f**8 + 0*f**3 + 0*f**6 + 0*f**5 + 0*f + 0*f**7 - 1\/24*f**4 - f**2 + 0. Find the second derivative of v(m) wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/13718972 and 95\/174?\nAnswer: 41156916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19570 = 19573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 25*r**2 + 2*r - 61. Determine m(25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 10) to base 2\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**2 + 31*t - 1469. Let h be z(19). Solve 30*i = -h + 113 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -289.4 times -334?\nAnswer: 96659.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(34)\/sqrt(2)*5))**2*-6.\nAnswer: -23436 + 1620*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-2 - (0 - 4)). Let z(t) = 3*t**2 - 2*t - 1. Let m be z(-1). Suppose 0*p = m*p - 20. Solve p*j = -3*a - d, -2*a - a = -4*j + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3020327 is divided by 32131.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 229859 and 2842?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygg when three letters picked without replacement from {g: 14, y: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 4*s - 5. Let u(r) = -r**2 - r - 1. Let o(f) = 8*f**2 + 11*f. Let g(z) = o(z) + 6*u(z). What is 4*g(m) - 5*v(m)?\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 96 = 48. Calculate the smallest common multiple of y and 288.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 2*m + 2*m)*(3 + 0 - 2) + 14*m - 3*m + 12*m + 1 + m - 1 - m - 4 + 4 as g*m + k and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, w: 4, g: 3}. What is prob of picking 1 g and 2 w?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 411704 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: Put 3, 5, 107, -5, 48 in descending order.\nAnswer: 107, 48, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/10)\/n)\/(n*n**1))\/(n**2)**(2\/17) assuming n is positive.\nAnswer: n**(-329\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 12.8. Let y = d - -1.2. Which is the nearest to -0.1? (a) 0 (b) y (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and -273345?\nAnswer: -300679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(19))*-6*-6)**2 + -1.\nAnswer: -5184*sqrt(19) + 29807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 < -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 + 208. What is the closest to m in -0.2, -2, -0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 173 = 625. Let y be k\/98 + (-6)\/4. Which is the biggest value? (a) y (b) -1 (c) 7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3660*x**2. Let s(l) = -l**2. Calculate s(c(h)).\nAnswer: -13395600*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 122?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -117?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - 20. Let k(b) = b + 4. Let i be k(c). Let y be 1\/i + (-11)\/33. Is y bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 200*v**3 + 9*v + 3*v - 17*v + 44*v**3.\nAnswer: -156*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*k = 90*k - 4976. What are the prime factors of k?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*l - 10 + 31, 3*a - 19 = -2*l. Suppose -576 = -0*b - 4*b. Suppose i - a*i = -b. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1880268?\nAnswer: 2, 3, 13, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25893542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33476 + 7455?\nAnswer: 43153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 9*i**3 + 26*i**2 + 51*i - 481. Calculate t(7).\nAnswer: 4237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*(-3*h**5 - 3*h + 2*h**5 + 3*h**5) + 4*h**5 + 4*h**5 - 6*h**5.\nAnswer: 4*h**5 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.02 + 0.02. Let q = 2 + z. Which is the closest to q? (a) 1 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -66782681 and -86245.\nAnswer: -66868926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 98 = 129. Suppose -d + a = -3*s, -2*s = d + 2*d - 670. Let k = 1011 - d. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-556)\/(-24) + (-3)\/18.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/9, 0.2, -25, -6, -1 in decreasing order.\nAnswer: 5, 0.2, -2\/9, -1, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 15957437?\nAnswer: -15957437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q**(1\/4)*q)**23*q**(1\/3)*q*q\/(q**(3\/7)*q)*((q**(2\/9)*q)\/q**0)**14 assuming q is positive.\nAnswer: q**(29173\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -868, -1131, -64, 2999, 8724?\nAnswer: 17777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 - 44*c - 127 + 266 + 11*c**2 + 44*c.\nAnswer: 11*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x - 2 + 17 - 12 - 5. Let h(q) = 5*q + 2. Calculate 3*d(o) + 4*h(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhhwfdt. What is prob of sequence ftwd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = h + 10, 3*h - 4*h = 2*k + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48794803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6890598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*q - 90*q + 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 0. Let g be 1 + 2 + d + 1. What is the highest common divisor of 8 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5229774025 to the nearest integer?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 673967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1765.\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7361532 (base 8) to base 5.\nAnswer: 1000134441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14995 is divided by 1116.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-6885)\/(-20))\/9)\/((-333)\/(-444))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 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 the remainder when (695 - 20) + 35\/5 is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19247220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + v**2 - v**2 - 2*v**3 + 3*v**3 - 2*v**3 + (2 - 4 + 1)*(-4*v**2 + 4*v**2 + v**3) - 21*v**3 + 4852*v**2 - 4852*v**2.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227 - 73. Let g = 180 - 260. Does 10 divide (g\/(-56))\/(2\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 706924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 8 - 0 - 7 - (-21 - -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) 0 (c) 0.48 (d) -2 (e) 58 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 243687376610?\nAnswer: 243687376610.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9823.2 + -9823.2051691. Round d to four dps.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (10 + (-2 - 19) - -2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117490109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 12*z**2 + 22*z - 13. Calculate o(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16016 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 + -1.2. Which is the nearest to j? (a) 2 (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 0*f + 5*f)*(4*f - 7*f - f)*(-129*f - 39*f - 90*f).\nAnswer: 2064*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582 + 20*l**3 - 17*l**3 + 86 + 23*l**3.\nAnswer: 26*l**3 - 496","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (46\/(-161))\/((-16)\/(-194)) and (-186)\/4*(-4)\/40?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence miz when three letters picked without replacement from zmi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.086, -11, -16 in ascending order.\nAnswer: -16, -11, 0.086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3674129.76us?\nAnswer: 0.00000607495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.151 + -0.15099624. What is h rounded to seven decimal places?\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -74. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -28. Suppose 56 = -3*y + 11*y. Suppose 0*s = s + 4*w - l, -2*s - w = y. Put 0, s, -3 in increasing order.\nAnswer: s, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2 + 9*b - 2. Determine o(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 77074.\nAnswer: 1\/77074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q. Let i = -17 - -19. Let k(s) = -3*s**i + 0*s**2 + s**2. What is k(d(f))?\nAnswer: -162*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-6831)\/483 - (4\/1 - 18)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2775 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -440330*i - 6164613. Give l(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-945)\/(-10))\/9*6\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 5*f = -568. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -80, 2, 4, -2 in ascending order.\nAnswer: -80, -2, 2, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3221342.\nAnswer: 2, 107, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + -1 + -1764 + 1780.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, o: 4, d: 1, l: 5, u: 2}. What is prob of sequence ld?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n - 2*n + 0*n)*(-85 + 55 + 134 + 120) to k + s*n and give s.\nAnswer: 448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -166765 (c) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/1807 and 89\/63384.\nAnswer: 823992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -7*n + 16. Let s = 243 + -243. Let p be q(s). Let c = 15 - 8. Solve 0 = -3*f - 2*m + c, 2*f - 2 = 2*m + p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22.24 and -685.\nAnswer: -15234.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1566297, -3132574, -4698827, -6265044, -7831213, -9397322, -10963359?\nAnswer: -12529312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051493 is divided by 4827.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9542838, -9542793, -9542736, -9542661, -9542562, -9542433?\n\"Answer: b**3 + 38*b - 9542877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1672384 and 169\/12542880?\nAnswer: 25085760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/161 and 17\/2899.\nAnswer: 466739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -23. Suppose -6*n + 10*n - h = 0. Find the second derivative of 3*j**n + 8*j + 3*j - 2*j**4 + 2*j**4 wrt j.\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**4\/2 - 91605*g**3\/2 + 366339*g**2\/2 + 1007505*g\/2 + 274779 = 0 for g.\nAnswer: -1, 6, 30531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30581*b + 1613775 - 176468 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 18. Let n be i(9). Suppose -52 = -n*c + 4*c. Let j = 17 + c. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6571679 to the power of 1\/2, to the nearest integer?\nAnswer: 2564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38728476.\nAnswer: 2, 3, 358597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164*m - 186*m + 48*m)*((m - 2*m + 0*m)*(1 - 5 + 3) + 13 + 10 - 23*m - 19).\nAnswer: 6644*m**2 - 1208*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5494*s**5 + 4*s**4 - 429775*s**2.\nAnswer: 329640*s**2 + 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3743510, 3743511, 3743512?\n\"Answer: r + 3743509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 11*f**2 + 9*f - 13. What are the prime factors of j(-12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 53*o - 60. Let k be v(-28). What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 5*j - 15, 2*p + 0*p = j + 52. Calculate the remainder when p is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, 4, -6 in decreasing order.\nAnswer: 5, 4, -0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckkkkkckkkkk. What is prob of picking 2 k and 1 c?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.24 + -9.24001151. Round o to seven decimal places.\nAnswer: -0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -6 + (196 - 47) + 15 + 2?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 464611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-220)\/72 - -3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 8*c + 21 = 0. Suppose -2*w + 11 = b - 36, w + 120 = c*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 5*d**2 - 4*d**2)*(-2 - 2*d**2 + 5*d - 7*d + 10*d).\nAnswer: -4*d**4 + 16*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 41*n - 63. Let v be d(-10). Let i = v + -247. Round i to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -10 (b) -11 (c) -4\/51 (d) -1 (e) -1\/7 (f) 17 (g) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1713, 1694, 1663, 1620, 1565, 1498?\n\"Answer: -6*l**2 - l + 1720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 26*f**2 - 8*f - 111. What is the hundreds digit of z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1296 = -18*o - 9*o. Let k be (-5)\/(-200)*-5 + (-22)\/o. What is the second biggest value in 27, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*o - 20. Suppose 5*m + 20 = o*a, 5*a + 4*m - 20 = -m. Suppose -4*j = a*x - 0*j - 2720, 0 = x - 3*j - 668. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d**2\/7 - 9726*d\/7 - 39080\/7 = 0. What is d?\nAnswer: -4, 9770\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from hiiihhiiiiiiih.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2, -9, -1244 in decreasing order.\nAnswer: 9, 2, -9, -1244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1) + (-21)\/(-12)*-4. Which is the smallest value? (a) 2\/13 (b) 0.5 (c) y (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005262689338 to seven decimal places.\nAnswer: -0.0052627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**3 + 61*g**2 + 208*g + 34. Let f be s(-23). Calculate the greatest common divisor of 273 and f.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007324 rounded to five decimal places?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**4 + 8*i**3 + 4. Let x(a) = -6*a**4 + 9*a**3 + 5. Let u(t) = 5*m(t) - 4*x(t). Factor u(b).\nAnswer: -b**3*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 + 33 = 2*g. Let x = g + -21. Suppose -4*b + 40 = 5*s - 3*s, 4 = 2*s - 5*b. Calculate the remainder when x is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -12 + 6. Suppose s*m + 4*l = -2*m - 20, -16 = 4*l. Let n be 2\/2 - (-2)\/(-4). Which is the third biggest value? (a) n (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9134 - -5353. Does 22 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(567) + 4 + sqrt(567) - sqrt(567)) + ((sqrt(7) - sqrt(21)\/sqrt(300))*3)**2.\nAnswer: 6303\/100 + 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3015 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 25d227?\nAnswer: -25d225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19549633?\nAnswer: 53, 347, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 510862, 512670, 514480, 516292, 518106, 519922?\n\"Answer: m**2 + 1805*m + 509056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2702*z**2. Let c(g) = 384*g**2. Give p(c(q)).\nAnswer: -398426112*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 424*r + 498*r - 4898 - 6166 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-8)\/(-24))\/((-3)\/(-3) - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -115? (a) -1 (b) -5 (c) -2\/27 (d) -0.189 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19965656 is divided by 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1103407.\nAnswer: 3\/1103407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, 50, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**4 + m**3 - 40*m - 4896.\nAnswer: -8*m**3 + 3*m**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 + 49. Let f = -17 - o. Suppose -3*y = 2*y + 5*u - 20, 2*y - f = -u. Solve 4*w = 5*z + 2, y = 2*w - 3*z + 2*z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 213*f**8\/56 + 779*f**4\/4 - 5531*f**2. What is the second derivative of s(g) wrt g?\nAnswer: 25560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.8281708 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 162?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2. Let u(f) = -4924*f**2 - 12. Determine u(s(z)).\nAnswer: -19696*z**4 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1199.97338 + -1200. Round m to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3375.88 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.2, 0, 29.\nAnswer: 0, 0.2, 3\/7, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25543, -25552, -25563, -25576, -25591, -25608?\nAnswer: -25627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1657 or 1658?\nAnswer: 1658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59311.1 centimeters to micrometers.\nAnswer: 593111000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33 + (5 + -10 - -22)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -3 + (5 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {z: 2, h: 6, w: 3, u: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1382124*m + 691063*m + 691061*m + 12*m**3 + 10*m**3.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 779466 and 24450?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 405817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -18. Let h = w - -13.000004. Round h to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*s + 104*s = 22*s. Solve 3*c = -3*l - 18, -3*l - 3*c - c - 23 = s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2. Suppose 21*k + 0*k - 2940 = 0. Let b(g) = k*g - 7*g - 235*g - 275*g. Give b(i(o)).\nAnswer: -377*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Let x be ((-2)\/4)\/(1*(-5)\/30). Solve -3*f + m*z = x, z - 4*z = 4*f - 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 + 162. Let h = o - 45. Suppose 185*n - 1638 = 2617. Calculate the highest common factor of n and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2961*s**3 - 10*s + 3*s**2 - 69*s - 78*s**2 + 73*s**2 wrt s.\nAnswer: -17766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -58?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -912366 divided by -19\nAnswer: 912366\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 32*z + 65. Let t be j(-14). Let o = t - -721. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3133035 - -25?\nAnswer: 3133104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3110912 + 1.311. Round u to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -155*w**4 + 639838*w**3 + 766471077*w**2?\nAnswer: -3720*w + 3839028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 267*y**8\/112 - 4685*y**4\/24 - 4518*y**2. Find the second derivative of i(n) wrt n.\nAnswer: 16020*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - 7?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/3)\/2*70. Let h be v\/(-20)*12\/14. Suppose -276 = -h*r + 21. Calculate the highest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4620 and 9029559?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4477456*w**4 - 2725408*w**3 - 622104*w**2 - 63112*w - 2401.\nAnswer: -(46*w + 7)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + ((-2)\/(-11) - 696\/319).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + -2. Suppose 3*g - 288 = -63. Suppose -w + g = 14*w. Sort -17, w, t in increasing order.\nAnswer: -17, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of k**2*m - 15904*k**2 - k*m - 7500*m**2 wrt m.\nAnswer: k**2 - k - 15000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -209896 (b) -5 (c) 5\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 122*g - 552 + 186 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -687*c*w + 1435*c - w**2 with respect to w.\nAnswer: -687*c - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10469 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**4 + 193*n**3 + 433*n**2 + 336*n + 55. Let b(w) = -w**4 - 24*w**3 - 54*w**2 - 42*w - 7. Let a(p) = 51*b(p) + 6*r(p). Find t, given that a(t) = 0.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10 + 2 = 2*q, 0 = -3*q + 4*b + 16. Suppose -f - q*f + 25 = 0. Suppose 2*a - 10 = -4*r - 4, 2*r = -4*a + 12. Sort -1, f, r.\nAnswer: -1, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + n - 2 = 14*s, 0 = 5*s + 4*n - 8. Which is the nearest to -1? (a) 2.5 (b) s (c) -4 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**2 - 4*m - 1. Let c be v(4). Suppose -c*r + 18*r = 36. What is the smallest common multiple of (0 - (-1 - -7))\/(-1) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -58 and 560167554.\nAnswer: 560167496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p**8))*p*p))\/(p*p**(3\/8)*p)*((p*p\/((p*p**(-10)*p)\/p))\/p)\/(p**(10\/3)\/p) assuming p is positive.\nAnswer: p**(-113\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 771428540 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: 7 (base 16) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.3 - 0.7. Let j = -3 + 5. Which is the biggest value? (a) -0.7 (b) j (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54632409.823 + -0.2?\nAnswer: -54632410.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(-23)*d)*d*d\/(d*d\/(d*d*d**(-11))) assuming d is positive.\nAnswer: d**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 0. Which is the closest to -1? (a) -1 (b) 0.2 (c) v (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-15))\/(8\/(-4))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1 + (-2 - -2). Let v = z + 2. Suppose -2 + v = u. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/180 and 199\/1260.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 311090 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5038000499.\nAnswer: 7, 19, 5153, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3602451 by -18861.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 619300 + 1.7323.\nAnswer: 619301.7323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*h**4\/3 - 20909*h**3\/3 - 34740*h**2 = 0. What is h?\nAnswer: -20844\/13, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -1)*(-2)\/40. What is the nearest to -5 in -5, f, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -5. What is the units digit of 3 + m\/((-6)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*z**2 + 2)*(-z**2 + 0*z**2 + 3*z**2) - 6*z**4 + 0 + 0 + (-2 + 2 + 3*z)*(-4*z + 4*z - z**3) to p + r*z**2 + s*z + t*z**4 + o*z**3 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = 5*h, -7 = 5*d - 4*h - 45. Suppose 5*b - 4*z + 1829 = 241, 3*z = d. Is (22\/2)\/((-4)\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12530056 + -1154?\nAnswer: 12525602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1852*m - 1794*m + 522 = 0 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -953, -1093, -1285, -1553, -1921?\n\"Answer: -4*b**3 - 2*b**2 - 106*b - 841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 + f - 1. Let k be o(-3). Let y be -4*((-27)\/(-12))\/3. Is 6\/18 - k\/y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/5 - 1260*a.\nAnswer: 2*a*(a - 3150)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:18 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-6))\/((-23010)\/(-18408))?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 + 14 = 0. Let u(f) = 0*f + f**2 - 2 - 2*f + 0*f**2 - 5. Calculate the remainder when u(y) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-161245)\/(-14) - ((-55)\/(-10) + -6). Round k to the nearest one hundred.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 600 = 6*v - 0*v. Let n be (-9)\/6*(-4)\/6. Let g be (-46)\/(-3) - n\/3. What is the greatest common divisor of v and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 2\/5 (c) -0.3 (d) -2\/9 (e) -0.17737\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -11, -7 in ascending order.\nAnswer: -11, -7, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 10) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5328 * -5.\nAnswer: -26640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(7\/9))**(-4\/11) assuming l is positive.\nAnswer: l**(-28\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from vvvsvvsvsvvvvvvvvvvs.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 10:44 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -12*d. Let k(s) = -3*s. Calculate g(k(f)).\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76669, -613205, -2069453, -4905271, -9580517, -16555049?\nAnswer: -26288725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -5. Suppose 3*j - j - 2 = -p, -m = 3*j + 5*p. Suppose k - j*k = -4. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 - n + 4)*(n**2 + 4*n**2 + 0*n**2) as a*n**2 + z*n**3 + v + b*n and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2695)\/(-396) + (-5)\/4 - 12\/(-27).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 45. Let j be ((-4)\/5)\/(182\/s). What is the third biggest value in 7\/3, 1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3779329*h**2*o**2 + 94*h**2*o - 3*h**2 - 3*h*o + h + 16*o + 5 wrt o?\nAnswer: -7558658*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 + (-30)\/(-8). Let u(a) = -4*a**3 + 3*a**2 + 6*a - 2. Let p be u(k). Let j = -91 - p. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -243, -375, -509, -645, -783, -923?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18824 is divided by 238.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/9, 2, 2\/7, -1908, -1\/9.\nAnswer: -1908, -1, -1\/9, 1\/9, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280832.7mg to micrograms.\nAnswer: 280832700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1053 - 1246. Put 0.1, k, 5, 1 in decreasing order.\nAnswer: 5, 1, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.11 - 201.89. Let a = r + 205.99999897. What is a rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*b**4 + 11*b**3 + 313 wrt b.\nAnswer: -20*b**3 + 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 - -70. Suppose f = -4*b + 9*b + s, 4*f + 5 = 5*b. Let m(z) = -3*z - 2. Give m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39.6 - 42.6. Put -4, d, 5, -3\/7 in decreasing order.\nAnswer: 5, -3\/7, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-32))\/((-2)\/16). Suppose -s - 42899999 = -y + r*y, -5*y + 2*s - 71500002 = 0. Round y to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gnlglbglppp. What is prob of sequence llbp?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/9681716 and -41\/13758228.\nAnswer: 261406332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-14) - -1)*52\/(-78)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002292472027 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 173 - 151. Put 1, 2, b in decreasing order.\nAnswer: b, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 559 = -2*s - 315, 2*i + 2*s - 344 = 0. Let n = i + 30. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-70)\/(-25) + (-2)\/(-10). Solve -4*w + x*d - 14 = -0*d, -w - 4*d + 6 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1. Determine v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d + 27. Give r(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -132697*r. Let c(q) = 361*q. Determine c(j(g)).\nAnswer: -47903617*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -0*o - 34. Suppose -3*l = -4*d - o - 0, 2*d = -2*l + 2. Let k(s) = -4*s - 3. Give k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 313 = -69. Let l = 64 + g. Solve l*h = 5*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 5017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1122\/14 - ((-30)\/35)\/(-6). Let t = -83 + b. Which is bigger: -17\/8 or t?\nAnswer: -17\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n*u - 1546*n + u - 4631 wrt n.\nAnswer: -5*u - 1546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11173 = -2*s + 11187. Solve 13*j + 20 = -s*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 1:41 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 1. Let q be i(1). Find the second derivative of 3*r + 4*r**3 + r**q - 4*r**3 wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 + 78483*y**2 + 4622448*y + 62488188 = 0. Calculate y.\nAnswer: -26102, -38, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (22 + (-20 - -7) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 11. Let w be f(13). Put w, -0.4, -1\/7, 1\/6 in descending order.\nAnswer: 1\/6, -1\/7, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2, -5\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 87. Let a be m(0). Suppose 36*c - 29*c = 952. Let h = c - a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -919.2066906.\nAnswer: -923.2066906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in 1\/3, 0.4, 1\/7, -198?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 511 - 306. Let r = 199 - f. Sort 1\/6, 0.1, -0.5, r.\nAnswer: r, -0.5, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1571598 by 6.\nAnswer: 261933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6888640 and 33440?\nAnswer: 6888640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5291 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 267 = -v - 2*v, 3*v - 267 = 2*o. Suppose -640 = 9*i - 3295. Let x = i + -265. What is the remainder when v is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 10:11 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 444172 + -277531. Let i = 166640.459947 - a. Let z = -0.54 - i. Round z to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 3. Let g be k(0). Suppose g*x - 528 = 2409. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 2\/9 (c) -2\/3 (d) 3845 (e) -384 (f) 0.4 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/6)\/a**4)**(1\/42) assuming a is positive.\nAnswer: a**(-25\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23 - ((0\/4)\/4 + -3). Find the first derivative of -7*q**2 + c*q**2 + 5*q**2 + 7 - 2 wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(4\/13)*(48 + (-580)\/170*17).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-16)*8\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.1. Let l = -0.41 + -2.99. Let c = -3.6 - l. Which is smaller: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 86?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15289382299 and 0.11.\nAnswer: -15289382298.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -4\/5 (c) 2 (d) 353\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21206?\nAnswer: 2, 23, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 85. Let v be l(17). Suppose 15*x - 24*x + 846 = v. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7c (base 15) to base 10.\nAnswer: 2367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -13*j**5\/5 - 2*j**2 - 3. Find the second derivative of o(l) wrt l.\nAnswer: -156*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 2*v**5 + 26*v**4 + 160*v**3\/3 - 336*v**2 - 288*v + 45. Let q(r) = 0. What is r?\nAnswer: -6, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 581 and 5146?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0*z = -z, 2*z = 3*x - 9. Suppose -3*m - 2 = -3*c + 13, -2*m + 4*c = 18. Let s be m\/(2*4\/(-24)). Solve -x = 5*q + s*t + 8, -q = -2*t + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 28*y**2 - 63*y - 35. Calculate the remainder when 156 is divided by j(-30).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvffyvyfyyevyvyyg. Give prob of sequence yvyf.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*b - 3*b + 7, 4*h + 4*b + 4 = 0. Let y = 41 + -35. Suppose 17 = -y*a + 5. Sort a, 5, h in ascending order.\nAnswer: a, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(196\/12)\/7. Suppose 6 = -2*i - 0*i. Let g = h + i. Sort 0.01, g, -4\/3 in descending order.\nAnswer: g, 0.01, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3620167 and 5185?\nAnswer: 18100835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + c + 7 = 2*k, c + 3 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208.69 - -208.39. Which is the nearest to 35? (a) 0.22 (b) -1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6*y**2. Let r(s) = -s**2. Let h(d) = d - 40. Let f be h(13). Let x(z) = -6*z**2. Let b(p) = f*r(p) + 4*x(p). Determine v(b(a)).\nAnswer: -54*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013 + -3?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 4*m + 2. What is b(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -83 and 0.06.\nAnswer: -4.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6*k = -19611. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*m + 11*m - 411678 + 407256 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 197, 34, 1, -7, 4 in ascending order.\nAnswer: -7, -5, 1, 4, 34, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -942 + 1901. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 - p. Let l be 4\/(-22) - 124*(-16)\/(-704). Let z(r) = 12*r**3 - 3*r**2 - 3*r + 2. Determine l*u(i) + z(i).\nAnswer: 9*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -37. Let q be s\/22 + -1 + 0. What is the closest to 0 in 4, 0.4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.44 and 64.\nAnswer: -28.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 7, q: 1, y: 2, s: 1, n: 2}. Give prob of sequence hh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*j + 20. Let k = 18 - j. Put -4, k, -7 in descending order.\nAnswer: k, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 < 1219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 + 40 = 6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -555*r**2*s**2 + r*s**2 - 49*r*s - 2 wrt r?\nAnswer: -1110*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 138496 and 9197?\nAnswer: 2354432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*o - 3*f, 41 - 12 = -3*o - 2*f. Let j be (-8 - o)\/(2\/302). Let l = j + 212. Calculate the remainder when l is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 = 15. Let t(x) = i*x**2 - 2*x**3 - 5 - 2*x + 3*x**3 + 7*x + 1. Determine t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n = -55 - 57 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(243) + sqrt(243)) + sqrt(243))**2 + sqrt(243) + (sqrt(243)*5 - sqrt(243) - sqrt(243))**2 + -2 + 1.\nAnswer: 9*sqrt(3) + 31589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 901 is divided by 129?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59351 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -23411141 (base 5) to base 16\nAnswer: -34d65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/12*(-2)\/(-21)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-16)\/(-14))*(-380)\/(-532)*10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:36 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1*((-328)\/84 - -4).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -3 (b) -1\/5 (c) 2\/19 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2, 0.4, -6, -1\/5, 0.9 in increasing order.\nAnswer: -6, -2, -1\/5, 0.4, 0.5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9422070 = -5*q, -4*q - 7537644 = -g + 3*g. Let s = q + 4394412. Round s to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1201 rounded to three dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 62+-16\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -890*z + 2. Let v be (-4)\/(-10) + ((-144)\/10)\/6. Let f be c(v). Suppose -2161 = -k + f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912551555 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + 0*b**3 - 2*b**5 + (-4*b**5 + 2*b**5 + 3*b**5)*(-1 + 2 - 2) + (-2*b + 2*b + b)*(3*b**2 - 3*b**2 - b**4) + 2 - b**5 - 2 - b**5 + 2*b**4 - 2*b**4.\nAnswer: -6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37734*d**4*z**2 - 2*d**2*z**2 + 601*d*z - 2*d - 2*z**2 wrt d?\nAnswer: 905616*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 24*j - 27*j + 2*q, 36 = 2*j + 10*q - 13*q for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -993 in -0.07, -2, -5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -5 + 2 - -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 281*m**2 - 94*m - 455. Calculate j(-94).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8684 + 9094. Calculate the highest common factor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/6 + 2*g**3\/3 + 3*g**2 + 10*g\/3 + 7\/6.\nAnswer: -(g - 7)*(g + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-95))\/(28\/28*(-2)\/(-5))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from cccccccccccccccicic.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -3*q. Suppose -c - 2*x = 0, -5*c + 6 = -x - 27. Solve -2*o + c = -q*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*y + 4 - 34, 48 = 3*w + 3*y. Solve 2*k + w = b, -5*k - 17 = 4*b - 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 49\/6731, 2, 0.09, 2\/5?\nAnswer: 49\/6731","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - -76 - (3 - -18)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041, -1036, -1029, -1020, -1009?\nAnswer: -996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781*p - 93 - 208 = -743*p + 193 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -154 - -150. Let x(u) = u**3 + 6*u**2 + 10*u + 3. Let i be x(z). Let d be 1\/4 + (-67)\/12. Is i at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 7 + 7)*(8 + 7 - 21)*(138 + 12*i**4 - 138).\nAnswer: -720*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71 and 5954.97.\nAnswer: -422802.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 360063\/65 or 5538?\nAnswer: 360063\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0*m - 1 - m)*(-5 - 2 + 5) + (0 + 0 - 2*m)*(4 + 0 - 3) + 3*m - 8*m - 2*m to w*m + t and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 4*q - 6*q - 8.\nAnswer: q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 7*b + 2. Let i = -8.6 + 8. Let w = i - 0.4. Sort -3, b, w in descending order.\nAnswer: w, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.4 (b) 2\/9 (c) -4 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611*p = 1607*p + 44, -5*x + 3*p = 48 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1229223 (base 11) to base 12.\nAnswer: 86b787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5. Let p be v(-4). What is the highest common divisor of p and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 370 - 469 - 369 + 17*k**2 + (-1 + 2*k + 1)*(-1 + 2*k + 1) to d*k + t*k**2 + v and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -129*((-7)\/(-21))\/(1\/(-1)). Let b be i\/172*(3 + 0). Factor 3\/4*k**3 - 1\/4*k**2 - b*k + 0 + 1\/4*k**4.\nAnswer: k*(k - 1)*(k + 1)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 3) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1587\/4 - 791\/2. Let m(c) be the second derivative of 15\/2*c**2 - w*c**4 + 0 - 11*c + 5\/6*c**3 - 1\/4*c**5. Factor m(x).\nAnswer: -5*(x - 1)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*g + 6880, -g + 3*i + 853 + 1427 = 0. Suppose -2*f + 0*t = -t - g, -4*f + 4584 = -5*t. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8\/7, 4, -3, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 17*r + 4. Let h be i(-17). Solve 0 = -o - h*q + 18, -2*q + 20 = 3*o + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/11 (c) -1\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 528698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q + 11*q**2 + 0*q**3 + 9 + q**3 - 3*q**2. Let l(s) = -2*s + 3. Let c be l(5). Let k be t(c). Solve -k - 9 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of y**6 - 21*y**2 - 9*y**6 - 35*y**2 + y**6 wrt y?\nAnswer: -840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v + 49*v + 6*v - 20*v - 26*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 64 = -76 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 106. Let w be 2*(-1 + v\/10). Suppose -2*n + w = 1. What is the highest common factor of n and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3001*i + 3001*i + 1 - 5*i**2. Let n(d) = 108*d**2 + 108. Let b(o) = -n(o) - 15*r(o). What is the derivative of b(j) wrt j?\nAnswer: -66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 136853547 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55296 is divided by 427.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1142030 (base 8) in base 13?\nAnswer: -ac226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 229, 238, 261, 304, 373?\nAnswer: 474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4202085?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18577216 by 14.\nAnswer: 1326944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -107360*q. Let h(y) = 3*y**2. Determine i(h(j)).\nAnswer: -322080*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1652757728?\nAnswer: 2, 51648679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -580 or -581?\nAnswer: -580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) 4 (c) 55.25 (d) -0.5 (e) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x - 6. Let k be j(5). Let i = k + 16. Is -3 - i\/3 - -561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225335 and 51?\nAnswer: 676005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bkbvvkbvkvv. What is prob of picking 1 v and 1 b?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1138 * -315\nAnswer: 358470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:42 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 - m**2 + 21*m + 3. Let w(r) = -6*r**3 - 2*r**2 + 43*r + 7. Calculate 7*c(h) - 3*w(h).\nAnswer: -3*h**3 - h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, -146, -54 in increasing order.\nAnswer: -146, -54, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/5)*((s**(2\/7)\/s)\/s)\/s)\/(s**(-2\/3))**(1\/8) assuming s is positive.\nAnswer: s**(-1357\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -6*d - 7*d + 63. Solve -3*i + 5*i + q - 8 = 0, -3*q = -i - d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 139867?\nAnswer: 699335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.87 + -0.67. Let w = 120 + -120.6. Sort x, 0, w.\nAnswer: w, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Let s(a) = 7*a**2 - 16*a + 10. Let m be s(2). Solve 4*o - r*p = 0, -m*p + 3*p = 2*o + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 21\/(-40)) + 1232\/(-880).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1233 + 1238. Which is the closest to -0.4? (a) 3 (b) r (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 6\/5*h**2 - 8\/5*h**3 + 3\/4*h**5 + 1\/4*h**4 + h + 0. Determine g, given that z(g) = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + (-116)\/(-56))*2. Which is the nearest to -3? (a) 0.1 (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3*o + 12 = 0, -11 = -b - 3*b - o. Suppose 0 = -4*q - 2*w + 290, 3*q + w - 228 = b*w. Let m = q + -38. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 + i**2 - 5*i - 2. Let p be q(-3). Let t = p - -37. Suppose 0*s = s - 7. Which is bigger: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 + 4632 = 22*t. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, g: 4, w: 2, d: 6, f: 1}. What is prob of sequence td?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 368 + 616 = -38*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -915 - -949. What is the remainder when 93 is divided by y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*d + 3 = 0, -3*q = 4*d - 15. Let w = q + -6. Suppose -4*c = -w*c - 3. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*f = -15, -f + 1 = 2*t + 4. Suppose -36 = -5*o + g, t = 4*o - g + 3*g - 26. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210021 + 1111112?\nAnswer: 2021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 9:18 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*g - 81129 + 76593 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/7 - 6*b**3\/7 - 4*b**2\/7 + 24*b\/7 - 16\/7.\nAnswer: 2*(b - 2)**2*(b - 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -30.954. What is p rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/2*(-265 - -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -272, 0, 3 in increasing order.\nAnswer: -272, -20, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.4781572.\nAnswer: 0.19126288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15150 and 145501610?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -522*u + 40*u**4 - 66*u**3 - 591*u**2 + 59*u**4 - 96*u**4.\nAnswer: 3*u*(u - 29)*(u + 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 4899.\nAnswer: -68586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/6 - 55*z**3\/3 + 666*z**2 - 23273*z\/3 - 50653\/6 = 0. Calculate z.\nAnswer: -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 25*m**2 - 3*m**3 - 25*m**2 + 9 - 2*m**5. What is the third derivative of x(z) wrt z?\nAnswer: -240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.036 + -0.096. Let d = 3.04 + -3. Let k = b - d. Round k to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 259320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - 36*u**2 + 2 - 1 - 38*u**2 as p + j*u**2 + y*u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**10)*b**(-24))\/((b\/((b\/(b\/(b\/b**(-3\/10))))\/b)*b*b)\/b*b**24\/b) assuming b is positive.\nAnswer: b**(-387\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 9. Let l be y(8). Suppose l*d - 234 = 4*d. What are the prime factors of d?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*((sqrt(99) - (sqrt(99) + 0 + (sqrt(99) + -2)**2)) + sqrt(33)\/sqrt(75) + -2*sqrt(704) + sqrt(704)).\nAnswer: -84*sqrt(11) + 2060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2)*t*t)\/t**4 assuming t is positive.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 72, 66, 22, -72, -228, -458?\n\"Answer: -2*q**3 - q**2 + 37*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -7 + 5*(2 - 1). Solve 0*c = -w*c + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 768*h*k**2*v**3 - 2*h*k**2 + 2*h*v**2 + 1271*h*v - 15*h - 83*k**2*v**3 + 3*k*v - 2*v**3 wrt k?\nAnswer: 1536*h*v**3 - 4*h - 166*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:04 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*t**2 + 710*t + 794*t**4 + t**5 - 32*t**2 - 794*t**4 wrt t?\nAnswer: 20*t**3 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38252 or 38237?\nAnswer: 38237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2. Let h(j) = -88*j - 3. Let u(b) = 88*b + 4. Let t(d) = -4*h(d) - 3*u(d). Calculate z(t(o)).\nAnswer: 30976*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/985 and 50\/23?\nAnswer: 22655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1714830 divided by 13?\nAnswer: -131910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 0, -5*n + 7*z + 860 = 8*z. Is n a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 3\/7, -0.027, 4?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 152961534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1063 and -288495.\nAnswer: 306670185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 6 + 4)*(-2 + 3 - 2)*(-3 - 1 + 3)*(3 + 3 - 3)*(-2*x - x - 3*x)*(x**3 + x**3 - 3*x**3) to n*x**3 + p + r*x + u*x**4 + y*x**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)*(s*s**(-10)*s*s*s)\/s*(s**(-5))**(4\/39))**(10\/9))**(5\/4) assuming s is positive.\nAnswer: s**(-5125\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 20 = -15*m. Suppose 0 = 4*z + f - 16 - 23, -12 = -2*z - 2*f. Suppose -3*o + n = -10, 5 + z = 5*o - n. Solve -o*t - m = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.4, -0.089, 19 in ascending order.\nAnswer: -11, -0.4, -0.089, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-561)\/(-306))\/((-2)\/20)*(-10584)\/(-2520).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/45 or -5039?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -8.6\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*j + 187*j - 63 = -11. Factor 0*g - 2\/5*g**j + 2\/5.\nAnswer: -2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.003026 bigger than -35.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1 + (2 + 4*sqrt(612) - sqrt(612))**2 - (4 + (2*sqrt(612))**2 + -2 + 4).\nAnswer: 72*sqrt(17) + 3059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 38936 and 0.03.\nAnswer: 38936.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 3:56 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13173 - -118553\/9. What is the nearest to 16 in -0.1, 1, 5, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 - 5 = 0. Solve 0 = 5*i - 4*s - 0*s - 5, -2*i - t*s + 25 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -81, -135, -195, -255, -309, -351?\n\"Answer: f**3 - 9*f**2 - 34*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83.6? (a) 2 (b) 15 (c) -5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 - 2?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1551784442?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/9 (c) -3 (d) -10\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 4 + 2 - (4 - (24 + -2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 5*l**2 + 7*l - 6. Let m be i(6). Suppose -5*n + 7 = -4*n + u, -5*n + 2*u + 28 = m. Suppose s = -2*s + n. Solve 3 = -d - s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -372372*q**4 - 5663*q**2 - 4 wrt q.\nAnswer: -8936928*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29335?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -8*w + 82. Suppose -69*x + 282 = -891. Give p(x).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 738473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 2*u + 80, 6*u - 2*u = -2*z + 2*u + 46 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10057, -11297, -12537?\n\"Answer: -1240*k - 8817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -4, -334?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -9763554 and -9763556 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6*4\/(-24))\/(1\/4310). Round i to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - 81 - 294*o**2 + 35 to the form b + x*o**2 + i*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -62?\nAnswer: -7\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 549 (b) -2\/41 (c) 3 (d) 4\/5 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53426 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 5320181?\nAnswer: 5320181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*v. Suppose v*w - 23 = 9. Suppose 0 = -5*u + w*u - 57. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 73, 158, 297, 496, 761?\n\"Answer: j**3 + 21*j**2 + 15*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and (-1 + 1 + -30)*30\/(-20).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/14*2\/2. Let b be 10\/4*1 + 26\/((-2912)\/238). Sort c, 7, b in descending order.\nAnswer: 7, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18485298 divided by 2\nAnswer: -9242649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 3 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69820312*b**4 - 168362717*b wrt b.\nAnswer: 837843744*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ouzzooozo. What is prob of picking 3 o and 1 z?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a1 + -1?\nAnswer: 2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -2934*k**2 - 5768*k - 8020. What is the first derivative of y(f) wrt f?\nAnswer: -5868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -384.9222694849 + -0.0778536151. Let u = g + 385. Round u to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46900 or 46898?\nAnswer: 46898","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:37 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63.71 + -64. Which is the third smallest value? (a) 0.5 (b) v (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:19 PM?\nAnswer: 577","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let o = 1 - z. Let u be o - 1*(-4)\/2. Solve -u*t - 5 = -0*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74823*o**2 + 80086.\nAnswer: -149646*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzzhdhhbbbzdhz. Give prob of sequence db.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7331337 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.85 + 2.85. Let j = 2906\/11 - 264. Which is the nearest to p? (a) 0 (b) -2\/15 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 93.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + 4*r**4 - 3*r**4 + 51*r**3)*(4*r - 3*r - 2*r) - 4*r**5 + 5*r**5 + 0*r**5.\nAnswer: -r**5 - 51*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 243, 250, 257?\n\"Answer: 7*b + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5185*-0.02.\nAnswer: -103.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c**2 - 3*c - 2. Let n = 13 - 16. Let p be b(n). Let d(r) = -3*r. Give d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from hqeddqdquudmeq.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14322 (base 5) to base 9.\nAnswer: 1586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f + 13*f**2 - 24*f**2 - 35*f**2 - 11*f**4 - 3*f + 4*f as v + l*f**2 + x*f + z*f**3 + g*f**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1885050 is divided by 2950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 759*y - 1530*y - 71*y**2 + 763*y in the form m*y + a + l*y**2 and give l.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39078 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 68\/6 + (-28)\/21. Suppose 0 = -2*q + 4*l + 24, 0 = -3*q + 2*l + 18 + d. Let r(b) = 3*b**2 + 11*b - 23. Is r(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, e: 3, v: 11, j: 2}. Give prob of sequence vev.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -230054, -460159, -690264, -920369, -1150474?\n\"Answer: -230105*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 0 + 1\/27*w**7 + 0*w**2 - 2\/27*w**3 - 19\/135*w**6 + 1\/6*w**5 - 1\/54*w**4 - w. Solve t(f) = 0 for f.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.0160229 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -5*k**3\/2 - k**2 + 1611*k. Let u(o) = -11*o**2. Determine u(i(x)).\nAnswer: -2475*x**2 - 660*x - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/3)\/((n**7*n)\/n)*(n\/(n*n**(-8\/7)))\/n**(-1\/8) assuming n is positive.\nAnswer: n**(-851\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919*x**2 - x**3 - 919*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -1 + 21. Suppose -h*n + 892 = -0*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -1. Let j = -4 - -8. What is the third derivative of -i*z**4 + 4*z**4 + 0*z**2 + j*z**2 wrt z?\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9323576556 plus -292?\nAnswer: -290.0676423444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -1\/2 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -4. Let v = 8 + w. Is 3*-1 + v + 29 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 40 = -m + 3*m, -m + 34 = -5*p. Let c be (m\/(-10))\/((-3)\/15). Suppose -2*l + c*l + 3550 = 0. What is l rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 7*r**2 + 10*r + 21. Let h be s(-6). Is h greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5*16)\/(-15 - -14). What is the greatest common divisor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - (6*sqrt(119)*-1 - sqrt(119)) - sqrt(119)*1*6)\/((sqrt(77) - 1*sqrt(77))\/sqrt(11) - sqrt(84)\/(sqrt(48)\/sqrt(4))).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (90\/(-8) - -11) + 5\/4. Put -1, a, -8\/7 in ascending order.\nAnswer: -8\/7, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/3)*c**9)\/((c*c**(-2\/11)*c)\/c)**(-1\/70) assuming c is positive.\nAnswer: c**(16967\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4, -n + 2 = -5*w + 8. What is the third derivative of 27*t**n + 256*t**2 - 141*t**2 - 145*t**2 wrt t?\nAnswer: 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + (-3 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 24*c = 27*c + 18, -2*c = -2*i + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -818108 or -818109?\nAnswer: -818109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 60*u - 59*u + 30, u + 25 = 4*g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5188.\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 5133?\nAnswer: 5141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + f**2 + 19 + f**2 - 7*f**3 to the form q + d*f**2 + w*f**3 + x*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p - 15 = -11*p. Let z = p + 28. Calculate the remainder when 62 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 - 8789*k**2\/2 - 353681*k\/2 + 181232 = 0. What is k?\nAnswer: -241\/6, 1, 1504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79913 and 135962.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*x - x. Is (24\/(-4))\/(x\/(-223)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, y: 4}. Give prob of sequence yyg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*y = -324, -h - h + 324 = 4*y. Suppose -k - 300 = 3*k. Let b = h + k. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1156124, 4624477, 10405066, 18497891, 28902952, 41620249, 56649782?\nAnswer: 73991551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 5*c - 5. Let h(k) = k**3 - 8*k - 8. Suppose -3*a = -7*a + 576. Let j = 102 - a. Let n = j - -50. Calculate n*v(w) - 5*h(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 162.56 at least 507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/83, 655, 7?\nAnswer: 655","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 5, 1, 0.4, 34, 38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 36 - 11. What is the third derivative of 3*m**2 - 2*m**2 - 3*m**2 - 4*m**5 + m**j wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 41626936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16824893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, -2099, 0, 3 in descending order.\nAnswer: 3, 0, -4, -6, -2099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.566 - 0.034. Let g = y + 19. Which is the nearest to 0.1? (a) g (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 60 + 16)*(-3*y - 2*y + 3*y)*(2*y**3 + 4*y**3 - 3*y**3) + (1 - 1 - 2*y**4)*(15 + 4 - 9).\nAnswer: -458*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1755878*f + 2*r + 13 = -1755879*f, 1 = -2*f + r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**6\/3 + 8*x**5\/5 - x**4\/4 - 3*x**2\/2 + 330*x + 180. What is the second derivative of h(j) wrt j?\nAnswer: 40*j**3 + 96*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 4*n**2 - 6*n - 2. Let s be o(-3). Let t(b) = -b**2 + 7*b + 9. What is t(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.87 + -10.4. Let u = -0.63 - v. Let o(t) = t + 2. Let s be o(-2). Which is the second smallest value? (a) s (b) -0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30, -170, 1, 0 in increasing order.\nAnswer: -170, 0, 1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2766970 divided by -145630?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -514250*b + 3085499. Calculate j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 1 - 2 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 4*o**6\/135 - 251*o**5\/90 - 193*o**4\/18 - 389*o**3\/27 - 65*o**2\/9 - 1373*o. Let v(z) = 0. Calculate z.\nAnswer: -1, -1\/4, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-72) + (-4)\/(-3) + 1. Suppose 5*l - 2*g - 2*g = 10, 3*l - 2*g = 6. Solve 0 = l*s + 3*y + 11, y = -4*s + b*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 388187 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080 and 288?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*f + 19474 - 8684 + 18118. What is the smallest common multiple of f and 657?\nAnswer: 7227","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -482 + 848?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104 + 1. What is the greatest common divisor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g + 20 = 29*g. Let r(l) = g*l + 3*l - 4*l + l**2 - 4*l + 0*l. Give r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**3 - 144*j**2 + 57072*j = 0.\nAnswer: -164, 0, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5655010 (base 7) to base 8.\nAnswer: -2534536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225677.\nAnswer: 83, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 405.6 and -4.\nAnswer: -1622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324067 is divided by 161187?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1015*z = 1233*z + 17984 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-225))\/(268\/201).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/4*1260\/(-1890). Let y(q) = -q + 12. Let z(l) = 2*l - 4. Let p be z(6). Let n be y(p). Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21105 by -7.\nAnswer: -3015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-8 - -14) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11913619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*c**3*l**2 + 25*c**3*l + 85*c**3 + 3*c**2*l**2 + 8*c*l**2 wrt l?\nAnswer: 56*c**3 + 6*c**2 + 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -65. Suppose 5*i - q = 6. What is the units digit of 1 + 0*1*(-2)\/i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 58\/295 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1072152 and -0.3.\nAnswer: -321645.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20632982.\nAnswer: 2, 10316491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -5.03. Let s be 2*(-3)\/6 - (-5 - -2). Sort v, -4, s.\nAnswer: -4, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 723102701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 20. Put -4\/5, 2\/9, -2, o in decreasing order.\nAnswer: o, 2\/9, -4\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**5\/60 - 5*c**4\/24 - 11*c**3\/6 - 10*c**2. What is h(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:13 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21328 or 272?\nAnswer: -21328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*c**2 + 19*c - 5*c - 16*c)*(2*c + 7*c - 5*c)*(2*c - 5*c + c).\nAnswer: -264*c**4 + 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 2*q - 2. Suppose -8 = v + 2*w - 1, 5*v = -4*w - 5. Let k = v - 3. Let d(g) = g - 2 + 0 + 1 + k. Determine c(r) - 2*d(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1690)\/78)\/(-13)*(-2)\/((-2)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/120 + g**5\/20 - 7*g**2. What is the third derivative of u(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5459, 5442, 5411, 5360, 5283?\nAnswer: 5174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 6 - (-5 - (-6 - 3 - -9)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5719, 11435, 17153, 22873, 28595?\n\"Answer: i**2 + 5713*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 6*b + 5*b + (-3 - 1 + 2)*(4 - 2*b - 4) + (3 - 3 + 6)*(-3*b - 2*b + 3*b) in the form v*b + c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*r - 7*r**3 + 46*r**3 + 1 + 43*r wrt r?\nAnswer: 234*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let f = -149 - -148. Let a(b) = 10*b + 1. Calculate f*a(k) - 6*g(k).\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 111001221 (base 3) to base 9\nAnswer: 14057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9781592.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.847 to one dp.\nAnswer: -26.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1204 times 0.251\nAnswer: -302.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/10)*c\/c**(-1))**(-1\/3)*((c**(-2\/9)*c)**(-5\/6))**(19\/4) assuming c is positive.\nAnswer: c**(-4441\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789177 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + s + 4. Let a be y(0). Suppose 0*w - 18000000 = -a*w. Round w to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408848781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c + 295. Let i(a) = -a + 59. Give 2*f(p) - 11*i(p).\nAnswer: -p - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -309 - 1966 - 1133. What is the remainder when z is divided by 103?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9.3 (b) -1\/6 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*m = -629*m + 110 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*y**5 - 2560*y - 155\/4*y**4 - 440*y**3 - 2080*y**2 + 5120.\nAnswer: -5*(y - 1)*(y + 8)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-6) + 2)*-6. Calculate the common denominator of (205\/(-50))\/((-2)\/5) and ((-6)\/u)\/(2\/42).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20034, 20114, 20194?\n\"Answer: 80*d + 19954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 24*u - 39. Give v(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 17*n + 2. Let a be h(2). Suppose -5*d + a - 6 = 0. Solve -d*p + 5*p = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c. Solve c = -v + 5*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9566, 19130, 28694, 38258, 47822?\nAnswer: 57386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from {a: 14, j: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 429.6 + -428.6. Which is the closest to m? (a) 3 (b) 0 (c) -2\/565 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 155, 214, 277, 344, 415?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 200\/175*((-6)\/16)\/(-1)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:05 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 12:51 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**2\/2 - 179015*y\/2 + 447600 = 0. What is y?\nAnswer: -35808, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.383 + 49.363. Let f = -48 + z. Let g = f + -1.17. Round g to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 8 - 218. Let x(n) = -6287*n + 31484. What is the remainder when m is divided by x(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:15 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49103 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: Is 150654966 less than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 140.06 + -141. Which is smaller: 2\/9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(119)*-1)\/(sqrt(252)\/sqrt(4) - sqrt(28)\/(sqrt(16)\/sqrt(4))))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -7) + 7 + -3 + 24 + 0\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2. Let p(r) = -1. Let h(c) = -12*c**2 + 4*c - 6. Suppose -2*n - 1 = -5*n + f, -1 = 5*n - 3*f. Let a(m) = n*h(m) - 6*p(m). What is x(a(t))?\nAnswer: 288*t**4 - 192*t**3 + 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + y + 1. Let f(n) = -12 - 4*n - 5*n - 373*n**2 + 127*n**2 + 122*n**2 + 121*n**2. What is -f(s) - 9*j(s)?\nAnswer: -6*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l + 36. Suppose -3*f - 22 = -2*a - 75, 3*f + 31 = -a. Let t = a + 36. What is the smallest common multiple of n(t) and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -252, -4, 0.2?\nAnswer: -252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4814*n**2 + 4887*n**2 - 9700*n**2. Let l(g) = g**2 + 3*g - 2. Let j be l(-4). Let q(d) = -j*d**2 - d + d. Calculate m(q(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 633?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 5*v**2. Let u(z) = 2*z**2 + 2*z - 1. Let h be u(1). Let l(s) = h + 2*s + 0*s - s. Let m be l(-8). Give a(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15849?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**5*p*p)\/(p*p**21))\/(p**(-10)\/(((p\/(p**(-20)\/p))\/p)\/p)))**(-5\/3) assuming p is positive.\nAnswer: p**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -817, -823, -827, -829, -829?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9378 + 9380. Suppose 2\/9*y**r - 16\/9 - 4\/9*y = 0. Calculate y.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d**2 - d**5 + 2*d**2)*(3 - 4 + 2).\nAnswer: -d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 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: Suppose 0 = 5*i + 20, -2*k + 4*k + 2*i + 38 = 0. Let z(m) = -m**2 - 20*m + 12. Does 29 divide z(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 415695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9998.582 centuries in decades?\nAnswer: 99985.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*q = 211*q - 3839 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407 - -898. Suppose -2*k + 3*a + 227 = -x, 0 = -3*a + 6. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20.1 less than or equal to -3025713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 10 + 14 + -20 + 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 - 5*w**4 - w**4 - 2*w**4 - 8*w wrt w?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -0.4, 7, 0, -0.769 in ascending order.\nAnswer: -0.769, -0.4, 0, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 7. Solve 0 = q - y - 2 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 0*p**2 + 2*p - 1\/12*p**4 + 0*p**3 + 0. Let i(q) be the second derivative of -5*q**4\/12 - 2*q. Determine t(i(j)).\nAnswer: -25*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74400 divided by -992.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -594 - -937. Does 49 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 15 - g**3 + g + 26196*g**2 - 26204*g**2 in the form d*g**2 + i*g + k + v*g**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 522 and -23 - -16 - (1 - 2792)?\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1455261 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*f + 2*h + 3119, 5*f - 5*h = 5205. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/(-36))\/(-1)*(-1)\/(-3).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91732 + -3684.5?\nAnswer: 88047.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from errypprrrpprppyppp. Give prob of picking 2 y and 1 p.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*k - 22*k - 300 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.5, -0.09, -0.98, -2\/565, -14?\nAnswer: -2\/565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*w**2 + 142*w**2 + 40*w**2 + 19*w**2 - 159*w**2.\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -41, 23 in descending order.\nAnswer: 61, 23, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10111101001010 (base 2) to base 4\nAnswer: -2331022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.032 - 4.484. Round t to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {w: 1, g: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -11*b**5\/15 + 7*b**4\/24 + b**2 - 7*b. Find the second derivative of u(k) wrt k.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -14*b. Let c(z) = 51*z**2 + 1944*z + 1. Give c(s(w)).\nAnswer: 9996*w**2 - 27216*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*x + 7*x - 3*w, -30 = -4*x - 5*w. Suppose 20 = -0*n - x*n. Does 6 divide (-3)\/n*(-8)\/36*-114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -7. Let o(f) = 9*f + 419. Let p be o(-14). Suppose -34 = -d*g + p. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 1, -113011, 7, 5 in ascending order.\nAnswer: -113011, 1, 2, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 equal to -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 - (-114)\/15. Suppose -r*s + 7*s = 2. Sort 4, s, -3 in ascending order.\nAnswer: -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose 4 = k*f + i, 4*f + 3*i + 1 = -3. What is the third derivative of -8*u**5 - 30*u**3 + 4*u**f + 30*u**3 wrt u?\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 50.6485cm?\nAnswer: 506.485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/50*-5)\/((-3)\/14). Let d = 71 + p. Suppose -5*r = -53 - 2. What is the remainder when d is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8135949586 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56 + 23. Let k be (4 - 291\/x) + 4\/22. Suppose 275 = 18*b - k*b. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45 + 783?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3*r - 2*r + 9, 5*j = 4*r + 21. Let w be r\/(3 + (-52)\/4). Let n = -177 - -176.9. What is the nearest to w in -4, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144634151 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 13889, 14546, 15193, 15830, 16457, 17074, 17681?\n\"Answer: -5*d**2 + 672*d + 13222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/10*2\/((-1)\/(-5)*-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 1482 = 5*t. Let m be (38\/t)\/(2\/(-3)). Let r(s) = -s + 1. Give r(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 12*h**2 - 7*h + 39. Give j(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 8. Suppose 5*v + 13 - 43 = 0. Let i be b(v). Suppose -l = i*l - 4*a - 50, l - 4*a = 26. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + n = 2*x - 20, 2*x - 43 = -n. Let u(q) = 8 - 4*q - 6*q + 9*q. Calculate the remainder when x is divided by u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 246.9055ms?\nAnswer: 0.2469055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(28) - sqrt(112)))\/sqrt(4) + -4 - ((sqrt(252) + sqrt(252)*-2)*-2)\/sqrt(4))**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, 0 in decreasing order.\nAnswer: 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 35376 * -3.76\nAnswer: -133013.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (1 - 1) + (67 - 55) + -16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -475 times -28\nAnswer: 13300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 715747940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 72.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23649 is divided by 64.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 5*v - 1. Let d be f(4). Suppose -4*t - 3*q - 10 + d = 0, 2*q = 4*t - 18. Suppose 3*g - 10 = -t*b, -2*g - b - 2*b = -10. Is 1 at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1346964, -1346966, -1346968, -1346970, -1346972, -1346974?\nAnswer: -1346976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5839 + 9840. Let s = f - -258. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:33 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213503.\nAnswer: 17, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 14*g - 19 = 9*g, 3*q = -2*g + 18 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1430\/231)\/13*15*98\/35\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7599559.\nAnswer: 11, 690869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 37*h**2 - 967*h + 168. What is o(26)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - k + 2 + (0 + 0 - k)*(1 + 1 + 4)*(0 + 0 - 1) + 5*k - 10 + 10 + 0 + 2*k + 0 + (0 + 3 - 2)*(-4*k + 4*k - 2*k) - 2*k + 2*k + k - 5*k + 2*k - k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46353?\nAnswer: 3, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 + -162. Let m = 158 + v. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 555 + -556. Let r(d) = -d**2 + 6*d + 5. Let z be r(-3). Which is the closest to p? (a) -4 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38478*0.11\nAnswer: -4232.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = l - 59. Let m(x) = -x**2 - 6*x - 1. Calculate the remainder when m(-5) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -25. Let h = 0.9 + -0.7. Which is the biggest value? (a) -2 (b) h (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20104 is divided by 1827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1988603?\nAnswer: 23, 86461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 402255 - 402442.081. Let w = i - -187. What is w rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/12)\/f)\/f*f)\/((f*f**(-20)\/f)\/f*f))\/(f\/(f*f*f\/(f*f*f**(-4\/7)*f)*f)*f\/f**20*f) assuming f is positive.\nAnswer: f**(3163\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 7789.\nAnswer: -31156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11843.5 to the nearest one hundred.\nAnswer: -11800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + 34. Give c(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 59446.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 13*g. Give w(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12131413 - 104?\nAnswer: -12132022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 30 = 5*p, -20*s + 17*s - 4*p = 24. What is the third biggest value in -1\/38, -5, s, 2?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -642 < -638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1616343 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-650)\/200)\/(1\/4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5*(1*sqrt(99) + sqrt(11) + sqrt(44)*-5 + sqrt(11)) + (2*sqrt(1331) - (1 + sqrt(44)\/sqrt(4)))) + 2.\nAnswer: 6 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 70. Let c be n*(-3 + 65\/25). Calculate the greatest common divisor of 42 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46.5*6.08\nAnswer: 282.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 4*w - 7\/2*w**2 + 1. Is d(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -138\/31, 2\/11, -2\/7, -15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*h + 65*h + 58*h to w*h + v and give w.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -42.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015803531 to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 157200?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4 = -p. Let y be 8\/10*5\/p. Let q = -6 + 9. Solve -y = i - q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.3? (a) 0.5 (b) 1 (c) -0.372 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*k**4 - 7*k**3 - 3*k**2 + 60078*k?\nAnswer: -720*k**2 - 42*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 76 + 80 + 60 - 20 + 11.\nAnswer: -g + 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**2. Let z(g) = 357076*g + 2. Determine z(p(r)).\nAnswer: 1071228*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9*j = 38337 + 47037, 5*j = 5*q - 213600. Does 113 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147050, -294097, -441142, -588185, -735226?\nAnswer: -882265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18699 - 0.578582. Let g = 0.4175981 + k. Let a = -0.026 + g. Round a to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a + 5*a**3 - 3*a**2 - 2*a**3 - 9*a to u*a**3 + s*a + y + v*a**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 0*o**6 + 0*o**7 + 2\/15*o**5 + 1\/168*o**8 + 19*o**2 + 0*o + 0*o**3 + 0*o**4 + 0. Find the third derivative of x(r) wrt r.\nAnswer: 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1254*h - 133. Let f(l) = -19*l + 2. Give -2*a(b) - 133*f(b).\nAnswer: 19*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 416549184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0272155 + -219.1462155. Let a = b + 219. Round a to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/9)\/2)\/((-11954)\/139)*(-6)\/(-4)\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 - -55?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -2383160830.8?\nAnswer: 2383160829.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -210710750 and -210710750 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 14 + j - 27*j - 2 to the form a*j + t and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162, -133, -618, -1293, -2158, -3213?\nAnswer: -4458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11423 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000722269 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4 - 8. Let p(z) = -z**2 + 3*z + 60. Let t be p(-6). Find the third derivative of 2*o**3 - 2*o**2 + t*o**2 - 6*o**3 + o**w wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 908047*h - 304919?\nAnswer: 908047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1111860*l**5*v + 124*l**4*v + 69379*l**2*v + l**2 + 465*v wrt l?\nAnswer: 66711600*l**2*v + 2976*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*o + 11 - 75 = 0, -5*o - 4 = i. Let k be 4\/3*3*i\/(-28). Solve 0*z - 2*z = k*j + 10, 5*z + 16 = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546153893647 minus -0.105?\nAnswer: 546153893647.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z + 2*p, 3 - 4 = -z - 4*p. Suppose 0 = -z*f + v + 3100, 3*f - v - 378 - 1480 = 0. Suppose 0*q - 4*q + f = 3*x, 636 = 3*x - q. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*t + 43 = 0, 4*a - 89 - 167 = 2*t. Let q(s) = s**3 - 2*s**2 + 2*s + 1. Calculate the remainder when a is divided by q(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1027 - -1719. Suppose -1737 = -5*f + k, -2*f + 4*k - 5*k + q = 0. Is f a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**2 + 2*o - 2. Let f be q(2). Let i be f\/(-4) - 2\/4. Suppose -3*a = -a - 4. Is a less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 10:06 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 7, w: 3}. What is prob of sequence wq?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/30)\/((-3)\/(-15)). Suppose -2*f + 10 = w*o, 10 = f - 2*f + 2*o. Sort 3, -3, f in decreasing order.\nAnswer: 3, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3765331 is divided by 12148.\nAnswer: 11599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -7*z**4\/4 + 68*z**2 - 63*z - 1. What is the first derivative of h(k) wrt k?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -196 - -195.9924. What is v rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -267, -5, -1, 5, -18, 4 in decreasing order.\nAnswer: 22, 5, 4, -1, -5, -18, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 899076649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u - u**2 - u**2 + (-1 + 3*u + 1)*(-49 + 34*u + 49).\nAnswer: 100*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from ppyyfpppppppypyf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = -5. Let r be -1 - (-6 - (s - 0)). Solve -t + 0*t = -r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7599, 7699, 7801, 7905, 8011, 8119, 8229?\nAnswer: 8341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1294?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410401, 410392, 410383, 410374, 410365, 410356?\nAnswer: 410347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -6. Let x be (k + 0)\/((-3)\/(-12)). Suppose 2*d - 3*d = 4*b - 8, 0 = 5*d + 3*b - 91. Solve 0 = -t + 4*m + d, 3*t - m - x - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78185495.\nAnswer: 5, 15637099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5 times -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*a + 2*a + r, -r + 5 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 297746 * -0.07.\nAnswer: -20842.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 255 - 253. Solve 0 = -0*y - 2*y - 8, -s*y - 14 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 5*f**2 - 5*f + 8. Let g be c(-6). Suppose 0*z**g - 1 + 3\/2*z - 1\/2*z**3 = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -20, 2*s - 22 = -5*q - 1. What is the closest to -0.1 in s, -3\/181, -1?\nAnswer: -3\/181","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j - 21*j - 32 = -4*m, -m - 5*j = 11. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34675*w**3 - 12*w**2 + 12161985 wrt w?\nAnswer: 104025*w**2 - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65*c**2 - 26*c**2 - 50*c**2)*(-22*c**3 - 5507 + 5507).\nAnswer: 3102*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -15. Suppose 4*k - 35 = -l, 0 = 2*k - k - 5*l + m. List the prime factors of k + (12\/(-3))\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16010235 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 37*p + 185. Let u be c(9). Let o(x) = 20 - 4*x**2 + 18*x**2 + 11*x - x + 4*x**3 - 5*x**3. What is the units digit of o(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 7, w: 1, k: 3}. What is prob of sequence vvd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/9 - 13*a**3\/9 + 16*a**2\/9 + 28*a\/9 = 0.\nAnswer: -14, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/1424?\nAnswer: -3\/1424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 10\/(-4))*12\/14. Let n = -39 - -37. What is the nearest to -7 in v, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2585, -2244, -1901, -1556, -1209?\n\"Answer: u**2 + 338*u - 2924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 8:01 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 487 + -487.87. Let r = p + 1.07. Which is the closest to 78? (a) 0 (b) r (c) 5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 660715 by 293.\nAnswer: 2255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/13)\/(1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/((-47)\/(-1128)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057 is divided by 311.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -67.\nAnswer: 1943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 75*s = -37*s - 37*s + 13, 5*s = 4*z - 53 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 4*t - 37, -51*t - 4*o = -52*t + 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23210320, -92841260, -208892832, -371365042, -580257896, -835571400, -1137305560?\nAnswer: -1485460382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 104*p**2 - p - 46. Let d be g(-52). Let q(i) be the third derivative of 0 + 0*i + i**3 - 1\/60*i**5 + 1\/4*i**4 + i**2. Give q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 772925*j**2 + 772948*j**2 - 1545883*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9536522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 53776?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-18\/7)*z**(11\/4)\/z assuming z is positive.\nAnswer: z**(-23\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and -17.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (-14 - -1 - (188 + -196)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 517424 by -6.\nAnswer: -258712\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1716*738.5.\nAnswer: 126.7266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 + 278 = -160*z. Solve z = 7*b - 55 + 83 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 - 9*y - 4. Let k(x) = -1. Let u(h) = 10*k(h) - 5*m(h). Factor u(v).\nAnswer: 5*(v + 2)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 29*f = 54211 + 16321. What is the greatest common divisor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.6 + -21.8. Sort 0, q, 2\/3, 1 in decreasing order.\nAnswer: 1, 2\/3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*q - 0*q. Let f be 666 - (2 - q\/5). Suppose 7*i = -i + f. List the prime factors of i.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.191, -14?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, m: 3, n: 1, v: 10}. Give prob of picking 2 m, 1 e, and 1 n.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11067*z + 317148 - 94525 = -279822 - 106240 for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 5:28 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b28623 (base 12) in base 7?\nAnswer: 32512563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 337146 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 4) + -46 + (1 - 7) - (2 - -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 388. Let t be v(0). Let k = t - -801. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - h**2 + 2. Let o(x) = -161*x**3 - 172*x**2 + 4. Let b(s) = o(s) - 2*p(s). Find the third derivative of b(a) wrt a.\nAnswer: -954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18354 = -15*g + 12*g. Is 42 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6509, -6502, -6485, -6452, -6397, -6314?\n\"Answer: g**3 - g**2 + 3*g - 6512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*l - 54 = 69*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 2091.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/4*(-1946)\/(7 - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + 2 + sqrt(112) + 0.\nAnswer: 2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -810, -1216, -1620, -2022?\nAnswer: -2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 1. Let y = -25 - -28. Determine f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*d = -442*d - 280 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1194*b = 1198*b - 16, -3*l - b - 9 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-52)\/10)\/((-8)\/(-120)). What is the common denominator of 133\/18 and (c\/(-20))\/((-28)\/20)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275075 is divided by 30547?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of f**4\/8 + 2*f**3\/3 - f**2. Let t(z) = -z + 4. Suppose -h = -3 - 4. Let c be t(h). What is q(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21746 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: In base 12, what is 945 - 159?\nAnswer: 7a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -535040 by -55.\nAnswer: 9728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 725*m + 11. Give r(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-1890))\/(((-40)\/(-250))\/((-2)\/10)).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 - 6*y - 13. Suppose -4*u - 4*u = 32. Let a(x) = 5*x**2 - 6*x - 14. Let o(w) = u*f(w) + 3*a(w). Give o(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 46977 and -4.\nAnswer: 46973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 259*t**3 + t**2 - 3*t + 3. What are the prime factors of z(1)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 712*y - 2640. What is the hundreds digit of m(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 64*b**2 - b - 2. Let o(m) = -63*m**2 + m + 3. Calculate 3*g(j) + 2*o(j).\nAnswer: 66*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -4. Let f = 6 + n. Sort 7, f, 0.4 in ascending order.\nAnswer: 0.4, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31955.8897 to the nearest 10.\nAnswer: -31960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333233 - -11?\nAnswer: -333222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/10555766 and -17\/63334596?\nAnswer: 63334596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 89\/2 of a century?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*s + 2*s + 7*s)*(2*s**2 - 2*s**2 - 4*s**2).\nAnswer: -104*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5929 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.05 - -0.05. Let a = k - -3.8. Is -1\/2 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 360291167 to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3875596*0.5.\nAnswer: 1.6937798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 5, l: 3, d: 3, h: 3}. What is prob of sequence whh?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(120) - (sqrt(120) - (sqrt(120)*-1 - sqrt(120) - sqrt(120)) - sqrt(120))) + sqrt(120))\/sqrt(12))\/((sqrt(20) + sqrt(5))*6))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-4)\/12)\/((-1)\/24) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-16)\/(-6) - 3). Let z be (0 - a)\/((-5)\/25). Let o(p) = -5*p**2 + 2*p + 5. Let c(y) = 6*y**2 - 2*y - 6. What is z*o(q) + 4*c(q)?\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545 is divided by (-273)\/(-5)*(-1280)\/(-384).\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 5. Let v be y(3). Let l be -4*(3*v)\/1. What is the units digit of (l\/10)\/(6\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48510)\/(-945)*(-15)\/630.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8535 divided by -1707\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5485 plus 162?\nAnswer: 5647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -17*d**2 - 23*d + 250. Let t(k) = k. Give t(r(a)).\nAnswer: -17*a**2 - 23*a + 250","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 218563?\nAnswer: -218559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 - -176. Let m(n) = n**3 - 3*n**2 - 9*n + 5. Let r be m(3). Let o = w + r. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + p + 49, -2*m = m - p - 145. Suppose -l + 4*l + 4*z = 105, -l + 3*z + m = 0. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**4 + 0*x**4 + 15*x**4 + x**2)*(3 - 8*x - 3).\nAnswer: -72*x**5 - 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1749, 3227, 4705, 6183?\n\"Answer: 1478*f + 271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 15 = -2*r - 0*v, -r - 5*v = -21. Solve -2*f - r = -14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -309*j - 318*j + 586*j - 1353 for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*p*r**3 + 583*p*r + 6*p - 7747 wrt r.\nAnswer: -72*p*r**2 + 583*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5*c**2 - 7*c + 3. Let a be y(-6). Let m be 2\/(-5) + a\/(-25). Suppose v - 20 = m*h, -2*h = v - 3*v + 8. Solve n + n - 8 = v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 10. Let t be r(12). What are the prime factors of 96\/t - 5\/(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5215, 2450, -315, -3080, -5845?\n\"Answer: -2765*w + 7980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**3 - 356*h**2 - 2773*h - 275. Calculate a(126).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48.65 - 52. Let b = t - -3.069. What is b rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -7. Let n(a) = -a**2 + q + 16*a - 15*a - 2. Give n(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.4, -4, 14\/1021 in decreasing order.\nAnswer: 2.4, 14\/1021, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2185, 3299, 4415, 5527, 6629?\n\"Answer: -t**3 + 7*t**2 + 1100*t + 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 3*s - 2. Let m be g(6). Let n(t) = t**3 - 9*t**2 - 5*t + 12. Let d be n(9). Let i = m - d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 2*w - 1, -2*n = w + 1 - 2. Let q(u) = -5*u - 1. Let b be q(n). Suppose 0 = -k + b*k. Solve k = c + 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.632426 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 766 and 14?\nAnswer: 5362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285371 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v + 7. Let k(q) = 3*q - 3. Let b(g) = -2*k(g) - z(g). Let c(n) = n + 1. Determine -2*b(u) - c(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + (sqrt(1584) - (1 + sqrt(1584))**2))*6 + -3*(sqrt(1584)*1 - sqrt(1584))**2.\nAnswer: -9510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -741376*p - 1044851 wrt p.\nAnswer: -741376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10648)\/26620*(-6)\/20.\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-1462)\/492 - 49\/3234*11) + -2?\nAnswer: -8\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/((x*x**(-18)*x)\/x)*x**(-1\/7)*(x**(-2))**(-1\/5) assuming x is positive.\nAnswer: x**(639\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181, -687, -1527, -2695, -4185?\nAnswer: -5991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o + 2. Suppose -3*b - 25 = -8*b. Give t(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(125) + sqrt(125) + -1)*-4 + -4).\nAnswer: 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 33*w**2 + 86*w - 132. Determine x(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -337 + 355.9. What is v rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/(i*i**(2\/3)))\/i*i)*i)\/i)**(-38)*(i**0)**(-3\/11)*(i**(-3)\/(i**(-4)*i*i))\/((i\/i**1)\/i)**27 assuming i is positive.\nAnswer: i**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcr when three letters picked without replacement from {w: 2, c: 1, r: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**4 - 2*f**3 + 3*f**2 - 4*f + 6. Let k(l) = l - 1. Let a(z) = d(z) + 6*k(z). Factor a(r).\nAnswer: -r*(r - 1)*(r + 1)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 3\/2 (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102\/37, 1, 0.1 in descending order.\nAnswer: 1, 0.1, -102\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 627224 and 8476?\nAnswer: 627224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**4\/4 + d**3\/3 + 4*d**2 - 2*d - 12. Let l be v(3). Solve 4*u - j + 25 = -0*j, 0 = u + l*j - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16036*y**2 + 19900.\nAnswer: 32072*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/8084 + -2683843\/121260. Let h = -179\/5 - b. What is the common denominator of h and -49\/290?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -23. Let a(l) be the third derivative of l**6\/120 - 7*l**5\/60 + l**4\/24 + 7*l**3\/6 + 5*l**2. What is the units digit of a(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -110 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164034*h**2*n - 52*h*n - 904*h wrt h?\nAnswer: -328068*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3717416 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1117 + -49. Let t = 1321 + 1146. Let w = t - o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 190*c + 4899.\nAnswer: -(c - 23)*(c + 213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(z + 3*z**2 - z) - 36*z + z**2 + 54*z - 19*z + 6.\nAnswer: -5*z**2 - z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q + 2*q)*(3*q**2 + 0*q**2 - q**2) - q**3 + 0*q**3 + 2*q**3 - 8*q + 2*q**3 + 8*q.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086283.\nAnswer: 11, 17, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 + 0*n**4 + 8 - 343*n + 337*n as w*n**3 + g + x*n + h*n**2 + t*n**4 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-112)\/5)\/4 + (-4)\/10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142769 divided by 5?\nAnswer: -142769\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i**4 + 0*i**3 + 0 + 0*i + 7*i**2 - 1\/270*i**5. Factor d(u).\nAnswer: -2*u**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5164 - 570600*a**3 + 4028 + 570594*a**3.\nAnswer: -6*a**3 + 9192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 22 + 8. Suppose 0 = -z*c + 2*c + 12. Solve 0 = -q - 3*i + c + 9, 0 = -q - i + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15525078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pptppnptptttpnppppp. What is prob of picking 1 p, 2 t, and 1 n?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h + 4 = 13*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/(2\/15). Suppose -c = 3*g + 14. Let o = 31 + g. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((12\/(-15))\/1)\/1. Let v be 4\/(-14)*6\/(-4). Sort v, 0, m, -0.5.\nAnswer: m, -0.5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**2 + 2*y**2 - y**2 + (0*y - 2*y + 3*y)*(3*y - 3*y + 2*y) + y**2 - 3*y + 3*y + (-3*y + 4*y + 0*y)*(-2 + 2 - y))*(-y**3 - 2*y**3 + 8*y**3).\nAnswer: 20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 457 a factor of 12515851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 1 = 0, -5*h - 175*z = -174*z + 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 349, 735, 1159, 1621, 2121?\nAnswer: 2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from ysjtjjjsycyycsybyc.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1154 - -1194. What is the smallest common multiple of 8 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.4 - -55.4. Let u = -51.98 + t. Let v = u - 0.02. Which is the smallest value? (a) v (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + i - 13*i)*(-7*i + 6*i - 3*i)*(3 + 5 - 6) + 2*i**2 + 5 + 494*i - 493*i - 4 to the form u*i + f + p*i**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 10*m + 9. Let i be u(-7). Let g be ((-174)\/4)\/(9\/i). Suppose 2*b + 0*c = 5*c + g, 4*b + 5*c - 146 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235358153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*h + 49 - 3, 0 = -4*h + 4*j + 48. What is the highest common factor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.23 + -12. Let r = -95.87 - -96.2. Let d = h - r. Which is the nearest to -0.1? (a) d (b) -0.4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence foq when three letters picked without replacement from qfofgggofof?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-928)\/(-22) + 8\/(-44). Suppose -v - v + s = 0. Calculate the highest common divisor of 84 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {n: 2, f: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**4*p + 890*o**3*p**2 + 87*o**3 - 4*o**2*p**2 - 48*o**2 + 97*o*p**2 - 6*p**2 wrt o.\nAnswer: -72*o*p + 5340*p**2 + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3\/14 (b) -1 (c) 0.2 (d) 337 (e) -0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 1:07 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57552.79 centimeters to meters.\nAnswer: 575.5279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236 and 1357.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/2)*(c**(2\/57)*c)\/c assuming c is positive.\nAnswer: c**(289\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 7*y**2 + 2*y + 1. Let a be c(-6). Let v(l) = l**2 + 515*l + 26729. Let g be v(-56). What is the greatest common divisor of a and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10247833 is divided by 1485.\nAnswer: 1333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7.07, -0.8488.\nAnswer: -7.07, -1, -0.8488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-25850)\/(-90) - (-2)\/(-9). Let r = c - -371. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {s: 7, a: 1, r: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14105 - -14106. Let v(p) = -p**3 - 2*p**2 + p + 2. Let q be v(-2). Solve -2*n - 1 - a = q for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004703 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026564 rounded to five decimal places?\nAnswer: 0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f + 1070000. Round f to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267 - 41. Let i = 309 + k. Sort i, -25, -1 in increasing order.\nAnswer: -25, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 14*n + 116 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35613286*x - 8759014 wrt x.\nAnswer: 35613286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 907222 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t + 40*t + 36*t + 35*t - 180*t + 36*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 7.03763?\nAnswer: 7.13763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-21 - -17) - (-5 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*y - 26 = 0, 22*p - 27*p = -4*y - 172. Calculate the remainder when 117 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 4*w**2 - 4*w - 1. Let t be q(-3). Suppose 5*p = 3*b + 12, -p + 7*b = t*b - 20. Which is smaller: p or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 d, and 1 t when four letters picked without replacement from {t: 2, z: 4, d: 6, n: 6}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -355*m**2 + 361*m - 6 = 0. What is m?\nAnswer: 6\/355, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*t - 829, -8*t - 2*g + 491 = -11*t. Let h = t - -167. Which is smaller: 12\/17 or h?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28762521409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11770968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4911362*z**4 - 809*z - 4297 wrt z.\nAnswer: 58936344*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, -2, 10\/9, -3, -5, 0.2, -2\/17?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1665 + -1678.596. Let s = b + 9.5982. Let p = s + 4. Round p to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 24*n - 2*d + 11 = 0, 9 = -3*n + 4*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -20. Let f be 45*((-14)\/6 + l). What is the greatest common factor of 20 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 9. Let o be i(6). Suppose -o*f + 7 + 5 = 0. Let s(c) = -f*c + c + 0*c. Let l(u) = -2*u**2. Give s(l(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -241*f + 2875. Determine m(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739342285.\nAnswer: 5, 11, 2441, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -385 + 2178. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-7 - -3)) + -1 + 0 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-24)\/(-32) - (-2)\/((-12)\/87) and -33\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*f**2 + 48*f**2 + 34*f**2 to the form o*f + j*f**2 + t and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9\/392, 0.1, -1\/4, 2\/19, 3?\nAnswer: -9\/392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 2:38 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 23*j**6\/40 + 41*j**3\/6 - 32*j**2 + 2. What is the derivative of t(n) wrt n?\nAnswer: 207*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538403170 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11134*c - 178126. What is f(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 127 = -5*y, 4*r - 2*y = -0*r - 174. Let c = 79 + r. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n - 18371 = 349*n + 88*n + 5003 for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - -103. Find the second derivative of -93*a**3 + i*a - 66*a - 10*a wrt a.\nAnswer: -558*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7629.\nAnswer: 3, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 7642\/13 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*y)*(-2410847 + 1205467 + 1205463 + 34*y) in the form k*y**2 + m + x*y and give x.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 623.543586 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.74 + -0.74. Which is the second biggest value? (a) s (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*21.3\nAnswer: -575.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.642 rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 792 - 794. Which is greater: p or -0.0798?\nAnswer: -0.0798","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3457226 is divided by 1359?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = 2*g. Let u be ((0 - g) + -3)\/(-7). What is the third biggest value in 2\/5, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19797*d = -19789*d + 32. Sort -12, -2, d, 4, -5.\nAnswer: -12, -5, d, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 517.5 - 538. Let k = -20.051 + 0.051. Let h = k - d. Sort 1\/5, 0, h.\nAnswer: 0, 1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 + 9*p - 41 - 6*p - p**2 + 5*p.\nAnswer: -18*p**2 + 8*p - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -3221 - 517. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -211692 divided by -59\nAnswer: 3588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/695 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4488 - -2673. Let g = r - -1256. Round g to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q - 26*q - 13568 = -10*q - 11554 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -16.96. Let a = w - 0.14. Let i = 144 - 1294\/9. Is i at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 285*c - 22. Let j(o) = -142*o + 11. Let w(u) = -7*j(u) - 3*q(u). Is w(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 14*i**2 - 15*i - 15. Let c be n(-13). What is the second derivative of -21*o**5 - 2*o - c*o**5 - 9*o**5 - 14 wrt o?\nAnswer: -820*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y - 8. Let h(p) = -17 - 30 + 16 - 39 - 28*p. Let m(u) = -4*h(u) + 35*t(u). Let n(j) = 4*j. What is -6*m(o) + 11*n(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82809288 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txydtrrrrrvrrr. What is prob of picking 1 d, 1 r, and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/96? (a) 14 (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25 = v. Suppose -v*w + 20 = 5. Suppose -2*i = w*i. Solve 5*h - 10 - 5 = i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 - -837. Is 50 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.18 - -279.78. Let j = -250 + k. Which is the closest to 1? (a) 1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by 337671?\nAnswer: -52\/337671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 3808.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6.1. Let u = -0.4 - -0.4. Let o = -0.1 - u. Which is the second biggest value? (a) -1 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 3, -2, 17 in descending order.\nAnswer: 17, 3, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**3 + y**2. Suppose -v + 13 = -2*h, 0*v - 4*v + 4*h + 36 = 0. Suppose 20 = -5*d, -5*w - 16 = -w + v*d. What is j(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.42035869 take away 0.1614?\nAnswer: -8.58175869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36*t + 61*t + 93*t)*(1 + 3 - 2)*(-3 + 3 - 1)*(-22*t - 13*t + 7*t) to u + n*t + c*t**2 and give c.\nAnswer: 6608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4\/7 + 1644*c**3\/7 - 337842*c**2\/7 + 30856236*c\/7 - 1056826083\/7 = 0. What is c?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**5 + 432*h**4 - 1244*h**3 - 40392*h**2 - 38720*h = 0. Calculate h.\nAnswer: -110, -8, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069503 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301 or -300?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1014 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z**5*z*z*z)\/z)*z*z**1\/z*z*z)**(-3\/29)\/(((z*z*z**1*z)\/z)\/(z\/(z*z**(-1\/3)*z)*z)*((z*z*z*z**(1\/9)*z)\/z)\/(z*z\/z**(-2\/13))) assuming z is positive.\nAnswer: z**(-11243\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016401402 rounded to seven dps?\nAnswer: -0.0016401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*q - 605 + 850 + 767 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4576719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14)\/((-28)\/2214) + 6 is divided by 186.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2) - -3*8. Suppose -b + 6*b = 5, -2*y - 5*b = -h. Let 3*l**2 - y - 4 + 1 = 0. What is l?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m**0\/m)**(-48) assuming m is positive.\nAnswer: m**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -131.0978 + 225.1047. Let b = -94 + g. Round b to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, 16\/13, 1, 1374?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-4)\/2)\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:10 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3212 + 333?\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z**2. Let w be ((-8)\/(-12))\/((-1)\/(-3)). Let t be (1 - 0) + 0\/w. What is the units digit of n(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828690691.\nAnswer: 97, 1009, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 61\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.56 - 0.56. Let t = a + -5. What is the closest to 3 in 4, t, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**2*w**4 + 4*b**2 - 16*b*w - 9*w**5 wrt w?\nAnswer: 12*b**2*w**2 - 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -61*c - 2374. Let g be j(-39). What is the nearest to 0.2 in -0.3, g, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (27\/6 + -4)\/(3\/1008)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-7324)\/(-8) - -2*3\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 30*y - 3. Let s(g) = 2*g**2 + 28*g - 4. Let w(b) = -4*c(b) + 3*s(b). Let z(f) = 2*f. Determine w(z(x)).\nAnswer: -8*x**2 - 72*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51129?\nAnswer: 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414162619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1102024 (base 5) to base 14\nAnswer: 6d02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -419\/61491 - 1\/309. Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 71\/3. Sort 2\/13, -1, l in ascending order.\nAnswer: -1, 2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114478 = -501*b + 484*b. List the prime factors of b.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 25 - 84 + 21 + 27.\nAnswer: 4*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 176 = 14*z. Suppose -z*l = 11*l - 5324. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 978258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + -77 + 94 + -69.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o**2 - 2*o + 1. Let s be y(1). Suppose -c = -4*w + s, 3*w - 6 - 26 = -5*c. Suppose c*r = -0*r. Solve r*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 22*v + 81 = 141 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1043 - 251 + 3471*c - 3477*c to m + r*c and give m.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 23*l**2 + 20*l - 5. Let h be q(24). Are h and -101 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -30123.8 (b) -1\/3 (c) -4 (d) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 + 24*y**2 - 41*y + 11. Let z be -14 - (-12)\/8*2. Let w(c) = -c**3 + 5*c**2 - 8*c + 2. Let a(n) = z*w(n) + 2*g(n). Give a(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 8*f**3 - 38*f**2 - 28*f.\nAnswer: 2*f*(f - 7)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v - 3*v + 2*v)*(-8 - 11 + 3) - 3*v + v - v)*(0*v**2 + 2*v**3 + 0*v**2).\nAnswer: 26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1492620 and 0.0225.\nAnswer: -33583.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d = -3. Suppose 19*k + 49 + 8 = 0. Put 2, d, k in decreasing order.\nAnswer: 2, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5140, 42078, 142442, 337978, 660432, 1141550?\n\"Answer: 5291*w**3 - 33*w**2 - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(-5)\/u)))\/(u\/u**4))**(9\/5)*u\/(u\/(u**(-2\/3)*u))*u*(u\/(u**(2\/9)*u))\/u*(u**0)**(-22) assuming u is positive.\nAnswer: u**(-238\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4993?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -21. Calculate the remainder when 10 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y**3 + 4*y + 6. Let d(w) = 22*w**3 - 7*w - 11. Suppose 0 = 6*v - 9*v - 12. What is v*d(f) - 7*o(f)?\nAnswer: -11*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((1210\/(-1331) - 2\/22)\/((-2)\/4))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1421 - 2741 = 47*g + 25 + 2509 for g.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10550 by 25.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/6 + (-162 - 11))*2*(-12)\/(-40)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*-2 - -3. Let o = -3 + 6. Suppose -q*z + o*t + 1 = 8*t, -2*z - t = -21. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l + 236. Let d(p) = p - 4. Calculate -b(t) - 4*d(t).\nAnswer: -t - 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2544, 10130, 22756, 40422, 63128, 90874?\nAnswer: 123660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 261*l - 6521. Determine k(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/99)\/(1\/(-11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 47*g**2 + 5*g - 5. What is s(1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160324?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 12*c**2 + 12*c + 3. Calculate n(5).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -447 or -448?\nAnswer: -447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(55) + sqrt(55))*-1)\/(3*sqrt(11)*-5) - 6*(-2*sqrt(500)*-2 + sqrt(500) + 0 + -5).\nAnswer: -300*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 (base 12) in base 6?\nAnswer: -1513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39113943952 and 45.\nAnswer: 39113943997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -219*n**2 + 17*n + 17. Let v be u(-1). Let o = v - -221. Let m = 1 + 1. Solve -o = -m*w - h - 13, -7 = w + 2*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334 - -0.04.\nAnswer: -333.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**4\/24 + 43*b**3\/2 - b**2 - 17. Let v be c(21). Calculate the highest common divisor of v and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + l)*(2 + 1 - 1) + 2*l + 0*l + 0*l)*(-4 - l**2 + 4).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 15\/2677609 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-54)\/297)\/(7\/(-11)). Sort -1\/3, v, -0.05.\nAnswer: -1\/3, -0.05, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382 - 387 - ((8 - (-2 - -1)) + 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxq when three letters picked without replacement from {x: 3, q: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**6\/360 - j**5\/24 + 7*j**4\/12 - 21*j. Let p(b) be the third derivative of l(b). Let u be p(0). Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:48 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*u + 66, 4*u + 4*l + 24 - 124 = 0. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 7) to base 12\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291320 is divided by 48511?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*c = -43, 0 = 2*q - 3*c - 40 - 14. Is (-2)\/3*q\/14*-853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/11 - 46862*n\/11 - 3903324\/11 = 0. Calculate n.\nAnswer: -83, 23514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 + 5*p**3 - 4*p**3)*(-1959 - 5116*p - 1895 + 3853 + 102534*p) to the form g*p + x*p**2 + c*p**4 + i*p**3 + j and give c.\nAnswer: 194836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 495*m**2 - 116818*m - 459. Give q(236).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 4:18 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 958*v**2. Let d(k) = 5*k - 1. Let w(f) = -3*f**2 - 15*f + 3. Let a(i) = -9*d(i) - 3*w(i). Determine a(x(c)).\nAnswer: 8259876*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1381795254 to the nearest integer?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*f**2 + 197*f**2 + 54*f**2 to k*f + u + g*f**2 and give g.\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1055586083.\nAnswer: 17, 3652547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**4 - 610*z**3 - 24600*z**2 - 319390*z + 344605 = 0.\nAnswer: -41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-12 - (27 + -21))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (-4 - 32*200\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3186276 and 4828.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 96936?\nAnswer: 290808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, z: 5, r: 9, h: 3}. Give prob of sequence zar.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 127.791 minus 10929886?\nAnswer: -10929758.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169870 is divided by 438?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 658800.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 77 + (36 + 1 + -24 - ((14 - 6) + -3))\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 + 126. Calculate d(0).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 21*m = 28014. Let b = 1049 - m. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -28*g**3 + 4*g**2 + 4*g - 6. Let n(x) = x**2 + x - 1. Calculate -4*n(w) + y(w).\nAnswer: -28*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)\/q**(4\/3)*(q*q**(-4))**(5\/7))**(-26) assuming q is positive.\nAnswer: q**(9542\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-75))\/(18\/((-972)\/6))*210\/(-1).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 0*m - 2 + 1\/2*m**2. Let n(x) = -5*x - 6. Let l(w) = 4*w + 5. Let z(o) = -6*l(o) - 5*n(o). What is z(j(b))?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 0*x = -0*x. Suppose 5*l + 2*s - 1270 = 0, -4*l + x*s - 4*s + 1028 = 0. What is the greatest common divisor of l and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = b, -3*b + 2 - 5 = -4*v + 34 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1))**(-31)\/(a**(-1\/2))**(6\/23)*a\/(((a**(-4)\/a)\/a*a)\/a*a)*a*a*a**(-1\/7)\/a*a*a*(a**(1\/4)*a)**1 assuming a is positive.\nAnswer: a**(6593\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-49)\/((-12)\/16 - (-3)\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 30*f**2 - 3*f + 97. Let m be o(30). What is the nearest to 0 in -1, m, -2\/17, -2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53977.\nAnswer: 7, 11, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3*m + 8 = -12, 2*m = 2*d - 8. Suppose -v = 2*k - 86, d*v + k + k = 368. What is the first derivative of v + 49*u - 126 - 16*u wrt u?\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6.1 (b) -1 (c) -6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276 = 16*t - 1308 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 2. Let n be d(-8). Let i(g) = 169994*g - 60. Let u be i(n). What is u rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 2 (c) 1\/9 (d) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 129. Is y a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 5. Let t be p(-6). Let m = t + -4. Suppose -6 = -3*d + 3*c, 3*d - 1 = 4*c + 3. Solve -5*o + 4 - 5 = 4*h, -3*o + d*h = m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/17, -3.9, 0.12, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) -1\/5 (c) -4333491 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -26, -54, -92, -146, -222, -326, -464?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*v**3 - 48*v**3 + 2*v**2 - 2*v**2 + 2*v - 2 + 2*v**4 to i + m*v**3 + a*v + c*v**4 + z*v**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {f: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*f - 30 = 18*f - 30. Let z(i) = 0*i + i**3 + 10 + i - 2. Give z(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83695 - 1718?\nAnswer: -85413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, -0.4, 1449, 18, -0.1, -1?\nAnswer: 1449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 1, v: 1, f: 1, l: 2}. Give prob of picking 1 f, 1 l, and 1 n.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 + 23*b**3 + 2*b**2 - 6 + 13*b**2 + 12*b**3 - 24*b**2 to f*b**2 + u*b**3 + i*b + j and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -49*c**5\/10 - c**4\/12 - c**3\/6 - c**2\/2 + c. Is u(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-78)\/4*(-9)\/27. Is 7 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 47*l - 545. Let o be t(12). Which is the third smallest value? (a) -14 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let l be (-10 - 642\/(-9))*1*3. Let n(q) = -15*q + l*q**2 - 39*q**2 + 15*q. Determine x(n(m)).\nAnswer: -21025*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 16*k + 1. Determine i(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2147, -9355, -21367, -38183, -59803?\n\"Answer: -2402*v**2 - 2*v + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(864) + sqrt(24))*2*-3)\/((sqrt(64) + -5*sqrt(64)*2 - sqrt(64))\/sqrt(8)).\nAnswer: 21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**3 + 3*c**2 - 7*c - 183. Let i(l) = -2*l**3 - 2*l**2 + 4*l + 92. Suppose 2*b + 12 = -2*b. Let a(s) = b*y(s) - 5*i(s). Is a(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/58 and -50\/165264997.\nAnswer: 330529994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6 = 5*s, -45 = -4*s - 5*m - 55. Let p(u) = u**3 + u**2 + 3*u + 10. Determine p(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552722329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (543 - 561) + -3 + 9 - (-1 + 13).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 3*w**2 - 4*w + 2. Let m(u) = 9*u**2 - 1. Let h be m(-1). Let a = 11 - h. Suppose -z = -a*z + 8. What is p(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/120 + b**5\/30 - b**4\/8 + 3*b**2 - 3. Calculate d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5\/7 + 264*n**4\/7.\nAnswer: 2*n**4*(n + 132)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3661763?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*t = 6, 81*i - 80*i = -4*t + 7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 2*i**2 - i + 4. Let q be (-12)\/(-36) + (-14)\/6. Let a be k(q). Solve 3*c - l = 5, 2*c - a*c - 2 = 3*l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/280 - (-285)\/(-1995))*(-12)\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1043.7259 and -2.\nAnswer: -1045.7259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*u + 23*u - 20*u)*(u**2 - u**2 + 3*u**2) - 2*u + 2*u + 3*u**3 - 1 + 2*u**3 + 1 - 2*u**2 to p*u**2 + o + i*u**3 + c*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1430 + 0.24.\nAnswer: -1429.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41725 + 11404 = -27*i. Suppose -2*a - 3*t + i = 0, 5*a + 4*t - 104 = 2686. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 111\/2 in -0.5, 5, -2\/47, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -56 times -4759046\nAnswer: 266506576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*q**2 - 320*q**2 - 441*q**2 - 209*q**2 - q + 68*q**2.\nAnswer: -1041*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88\/119 + 15\/17. Sort -0.1, 0, i, 1\/2.\nAnswer: -0.1, 0, i, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.592 + -223.592. Let h = -222.9 - m. What is the nearest to 0 in -1\/6, h, -3, -0.8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 4*i - 102. What is b(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 19616*h + 19616*h + 17*h**3 + 0 - 39232*h.\nAnswer: 17*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/42 and -65\/1533?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddzddddddddd. Give prob of picking 2 d and 1 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2607?\nAnswer: 3, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/2 (b) 1\/5 (c) -3\/4 (d) 3.44 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = o + 2*t, 3*o - 4*t = -2. Let k(r) = 0*r**2 - 4*r**2 + 2*r**o. Let f(m) = 6*m + 3. Calculate k(f(w)).\nAnswer: -72*w**2 - 72*w - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + -1120?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-12))\/(1\/(-6)). Suppose 3*q + 5*s - 25 = 14, -n*s = -4*q + 52. Calculate the remainder when q is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = 34 - 356. Suppose -3*i - 2*x + 207 = 83, -4*x = 5*i - 206. What is the highest common divisor of i and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - z + 1)*(36*z**2 - 11*z**2 + 129*z**2).\nAnswer: -154*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/55)\/(360\/5280).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 4*f - 1. Let k = -12 + 2. Let i be (k\/(-12))\/(4\/24). Suppose -i*t = 5*h, -3*t + 4*t + 3 = 0. Give c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.8 (b) -1.7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/(22\/(-22))*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(2*2\/8). Let u be 4 - (0 + (y - 1)). Let h = -197 - -199. Solve u*d + 3*g = 0, 2*g + g = -h*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*g - 4 = 2*g, 4*v - 7 = 3*g. Let p(y) = 3*y**2 - 3. Let u(b) = -4*b**2 + 2. Let c(h) = 4*p(h) + 6*u(h). What is c(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10907, 43445, 97681, 173621, 271271, 390637, 531725, 694541?\nAnswer: 879091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 5. Let i(c) = c. Let z(h) = 4*i(h) - w(h). List the prime factors of z(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6129, 16, -1, 0 in decreasing order.\nAnswer: 16, 1, 0, -1, -6129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 213*a**2. Let w(n) = -2*n**2. What is z(w(k))?\nAnswer: 852*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.273321 and 2095134.88?\nAnswer: 2095133.606679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/42)\/(4\/42*-3). Let r(i) = 2*i + 1. Let d(h) = -4*h - 3. Determine l*d(q) + 5*r(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 - 5*s + s**2 + 5*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 0.8.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3895703 plus -0.066?\nAnswer: -3895703.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + ((-1)\/2)\/((-12)\/144). Solve 5*y - z + 0 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + g, 5*k - 3*g - 1 = -g. Let f(w) = -w - 1. What is the remainder when (k - 4)*15\/(-3) is divided by f(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 1 + 9 = 0, 2*j + 14 = -t. Let p = t - -26. Let o be (-1)\/((-2)\/(-288))*-1. What is the highest common divisor of p and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 13, 43 in increasing order.\nAnswer: -3, 13, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366174 is divided by 122054.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/204*51 - (14 + (0 - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/299 (b) -3 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**4 + 4187*m**3*t - 2*m**3 + 15689*t + 7 with respect to m.\nAnswer: 8*m**3 + 12561*m**2*t - 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*l**2 - 15049765*l - 162866994?\nAnswer: 24*l - 15049765","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*x, -2*v + 0 = 3*x - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1271, -2539, -3807?\n\"Answer: -1268*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.3 and -0.1794.\nAnswer: 1.66842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 368. Let v be y(-61). Let c(b) be the second derivative of 0 + 0*b**3 + 0*b**v - 1\/6*b**4 + 2*b. Factor c(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000010 (base 2) to base 11.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 74775.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/60 + w**4\/8 + 2*w**2. Let o be n(2). What is the third derivative of c**6 + c**6 + 0*c**o + c**6 - c**2 wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 7 = k + 21*u, 5*u = 3*k + 5. Solve -g + 2*y - 4*y = 11, k*y + 5 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*i + 76027 - 69547 = 0 for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*r**4 - 20*r**3 - 4*r**2 + 2057 wrt r.\nAnswer: -36*r**3 - 60*r**2 - 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/13 - -28\/65. Let k = 0.08 - 3.08. Let p = -2.9 - k. Sort p, u, -3\/2 in descending order.\nAnswer: u, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 61 = a + 2*a, 3*a + 95 = 2*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 5*s**2 + s. Let l be x(-4). Solve -2*g - 2*b - 3 = -3*g, -3*g + 3*b + l = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -233047.8 * 0.373\nAnswer: -86926.8294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 5 = -5*a + 2*r, r = -4*a + 24. Solve a*k - 7*k = 15*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 15 = -2*g, -36*g - 9284*b + 9286*b - 190 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 653 = -43. Suppose -10*q = -11*q + f. Let c(y) = q*y + y**2 - 348*y. Let b(m) = m**2. Determine c(b(j)).\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170263\/2 + -85131. Let g = 0.3 - 0.4. What is the third biggest value in -19, g, -3\/2, l?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17997, -36019, -54073, -72159, -90277, -108427?\n\"Answer: -16*x**2 - 17974*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18*161\/(-966)*(-56)\/3\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2. Let j(z) = -2*z**2 - 6*z. Let w(m) = 2*m + 6. Let o be w(-5). Let i(b) = o*r(b) - j(b). Find the second derivative of i(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -0.4. Suppose 0 = -0*g - 2*g - 2. Let h be (1 - 1)\/(2\/g). Which is the closest to h? (a) 1 (b) 0.2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 84 = 7*n. Let g(a) = -3*a - 32. Suppose 0 = o + 3*o - 388. What is the remainder when o is divided by g(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 14 = -5*f, 0 = 13*f - 11*f + o - 2. Let i be (-2)\/1 - 28\/(-8). Factor -i*r**f + 3\/2*r**4 + 0*r**3 + 0 + 0*r.\nAnswer: 3*r**2*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 47*l**4\/6 - 129*l. Let z(u) = -2*u. Calculate a(z(b)).\nAnswer: 376*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69425788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*a*z**3 - 2*a*z - 1859931*z**3 + 6791877*z wrt z.\nAnswer: -60*a*z - 11159586*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -127 + 132. Suppose 2 = -2*w - 0. Let k be -2 + 0\/w + 2. Solve -l*s + 6 + 14 = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {y: 3, z: 3, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htxaxax. Give prob of picking 1 t and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)\/(f*(f**(2\/9)*f)\/f))**(-31)\/(f**1\/f**(-1\/3)*f*f\/(f*f*((f*f*f**5)\/f)\/f)*f*f**(-2)) assuming f is positive.\nAnswer: f**(1636\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 36. Let s(l) be the first derivative of 1\/2*l**4 + 0*l**2 - p + 0*l**3 - 3*l. Find the first derivative of s(y) wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.802195*43\nAnswer: 77.494385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qps when three letters picked without replacement from {h: 3, s: 2, q: 7, p: 7}.\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -142 + 132.5. Let g = 11 - 20. Let z = g - m. Which is the nearest to -2\/3? (a) z (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -14*q + 21*q. Suppose -6*f - q = -1368. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**7\/126 - h**5\/20 + h**4\/18 - 42*h. Factor u(k).\nAnswer: k**2*(k - 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**5\/2 + 31*y**4\/2 + 33*y**3 + y**2 - 65*y\/2 - 33\/2 = 0.\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6000567 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*-2*sqrt(11) - sqrt(11) - sqrt(11)) + 0 + -2)*-1 + -2 + -5 + sqrt(539)*-2*-3)**2.\nAnswer: -320*sqrt(11) + 11289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8660232 and 107\/24.\nAnswer: 8660232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 4112 + 36*a**3 - 4112 - 287*a**3 + 6*a**2 as q + f*a**2 + n*a + m*a**3 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 - -20?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s**3 - 10 + 10 + 6*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -18. Solve x - 29 = -x + t*h, 0 = -5*h - 25 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577068523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1499540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*i**3 + 88*i**2 - 2*i + 38896 with respect to i.\nAnswer: 234*i**2 + 176*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 5*w**2 - 123*w - 1281. Determine t(17).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Let p(r) = -r**2 - 10*r - 8. Let g be p(-9). Let n = -2\/453 + -2696\/4983. Which is the third biggest value? (a) d (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -7\/9, -154?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -28. Let i = w - -32. Let l(m) = 24*m**3 - 2*m**2 - 2*m + 4. Let y be l(2). What is the highest common divisor of y and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 332 + 2?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b + 11. Calculate a(-6).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let a(w) = -7*w + 1. Let t be a(1). Let o be t\/15 - (-42)\/5. Calculate the greatest common divisor of z and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 8:28 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -79*t + 32. Calculate n(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + 33\/7. Suppose -y*b = -b - 448. Let w = -65 + b. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 1\/7, 7234, 21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 - 22*t + 22*t.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjgxxgxxxxwxgwxr. What is prob of sequence jr?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m. Let q(p) be the second derivative of -p**4\/12 - p**3\/3 - 11*p**2\/2 - 4*p. Let h(b) = -q(b) - 4*x(b). Let g be h(-3). Solve g*f + 0*f = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = z - 24, 0 = -3*m - 34424132*z + 34424129*z - 45 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 80. Let y(v) = 10*v**3 + 2*v**2 - 3*v. List the prime factors of y(l).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 - 17550*t - 25666875 = 0 for t.\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12403 - 5343?\nAnswer: 3020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 42*r**2 - 18*r + 10. What is the thousands digit of k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*i + 41*i - 50918000. What is i rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 210 = y. Let z(d) = 2*d**2 - d + 1. Let x be z(1). Suppose 2*g + 3*l - 23 = 28, -4*l = -x*g + y. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = -30. Let t(u) = 8*u**4 + 10*u**3 - 8*u**2 + 10*u. Let d(p) = -p**2 + p. Let g be (2 - 0\/4) + -1. Let h(a) = g*t(a) + o*d(a). Factor h(s).\nAnswer: 2*s**2*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3639*h**4 - 1362*h - 9749997?\nAnswer: 14556*h**3 - 1362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136030 and 11826.\nAnswer: 804345390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11167 + -3696. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.6 + 7. Let f = 0.6 - i. Let n = 4.91 - -0.09. Put f, n, -2 in decreasing order.\nAnswer: n, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**2 - 12*i**2 - 674 + 55*i + 644 = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4015 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 47. Let o = 166 - 94. Suppose 0*a - 4*a + o = v. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 12:07 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c**2 - c - 2. Let u be o(3). Suppose -30 = -0*s + 2*s + 4*j, -2*s = -5*j - 6. Let f = s + u. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18877, 18960, 19107, 19318, 19593?\n\"Answer: 32*l**2 - 13*l + 18858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 663*n**3 + 551*n**2 - 640*n**2 - 217*n**3 wrt n.\nAnswer: 2676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 4*c**2 + c + 2. What is y(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01111321 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 + (0 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(130)*2*2 + 1*sqrt(130)*-1))\/(5*sqrt(250) - 1*sqrt(10)*1).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 90972737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 6 = 5*s - 4*a, 4*s - 16 = 4*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536919724.\nAnswer: 2, 11, 661, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 40*b + 507. Calculate n(-12).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:53 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-523*v + 815*v + 549*v + 630*v)*(-2 - 10 + 2).\nAnswer: -14710*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518545 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2997, -6014, -9033, -12054, -15077?\nAnswer: -18102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**6\/120 - 7*d**5\/60 + d**3\/3 + 2*d**2 + 73. Give c(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14553 and 184653.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + 2 + -3 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(28)*-1 + -3)**2.\nAnswer: 48*sqrt(7) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 1:40 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14326 (base 7) to base 13\nAnswer: -1a41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -30128 equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d*h**2 - 77401*d + 3393026*h**2 wrt d.\nAnswer: 7*h**2 - 77401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 3*r**2 + 18*r - 1. Let n be o(-3). Put 5, -354, n, -5, 2 in increasing order.\nAnswer: -354, -5, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -y + 5*y + 8, 0 = -4*o - 3*y - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5930797665 to the nearest integer?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111 - 71. Suppose -5*a = -5 - h. Let z(p) = p**3 - 6*p**2 - 16*p - 2. What is the tens digit of z(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*i + 106, -2*w - 3*i + 3 - 51 = 0. Let o = w + 71. What is the remainder when o is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345*q - 372*q + 7*q**4 - 31*q**4 wrt q?\nAnswer: -288*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16611 - 4189 = -77967*z + 78287*z for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 9 - 29)*(-6*k + 11*k - 1 - 4*k) to the form w + d*k and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 966 and 4578.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424812815 minus -0.59?\nAnswer: -1424812814.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 231.95048 - 232. Let n = s + 0.05. What is n rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a - 83. Let c be ((13 + -16)*73\/(-3))\/1. Let l = -56 + c. What is the remainder when b(l) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/3 + 2 + -4. Suppose -4*o - 32 = -4*y, w*o = -o + 4*y - 14. List the prime factors of -1 + o\/(-3) + 14.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-70)*((-7)\/(-2) - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10054 (base 7) to base 3.\nAnswer: -10100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 7 + (-2 - -6) - (60 + -14 + 6)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 176865919?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5.7 - -0.30873\nAnswer: 6.00873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111101112 + -120101?\nAnswer: -111221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967751947?\nAnswer: 19, 50934313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3) + 1)*-4)**2.\nAnswer: 32*sqrt(3) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = x - 5*a, 2 = -x - 2*a + 4. Let g(j) be the first derivative of 4 + 0*j + x*j**3 + 2*j**2 - 1\/2*j**4. Find the second derivative of g(o) wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -461*t + 2897*t - 174251 - 20629 for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 806*c**4 + 4*c**2 - 4*c**2 - 1606*c**4 + 1349 wrt c.\nAnswer: -3200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 158.136 and 18.85293.\nAnswer: 176.98893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3417.80063 rounded to the nearest ten?\nAnswer: -3420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.05, -0.08, -1\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = 0, -5*l - 3010 = -5*q - 4*l. Let w = q - 4204\/7. Determine h, given that 3\/7*h**3 + 0 + 0*h**2 - w*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i - 11. Calculate m(-4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7821967*l**2*z - 26*l**2 + 3924*l*z - 17*l - 6*z + 96 wrt l?\nAnswer: -15643934*z - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t**2 - 26*t**2 + 7*t**2 + 149151289 - 149151289.\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7718 + -7719. What is the third smallest value in l, -2\/37, -0.3?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.593 - -52822233712\nAnswer: 52822233716.593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*k + 2, -3*k = -2*o - 1. Is 7\/3 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11890\/76947 + -4\/5919. What is l in -u*l**2 + 2\/13*l + 4\/13 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 310352*z**4 - 3*z**3 - 5*z + 7417272?\nAnswer: 1241408*z**3 - 9*z**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3312 divided by -72.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1094 = 28*u + 86. Factor -58*j**5 - j**2 - 18*j**4 - 23*j**2 + 55*j**5 - u*j**3.\nAnswer: -3*j**2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5 = 2*z, -1831*m = -1834*m + 3*z + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-3)*-8*(-30)\/1600?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -731*c - 1436. Determine r(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*b**3 + 77275*b**2*p + 7*p - 48383 wrt b.\nAnswer: 57*b**2 + 154550*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-2)\/2)\/(4\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17680710 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 - -108. Let q = -58 - -57. Sort q, -4, s.\nAnswer: -4, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/7, -2, 15, -2\/13?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32.1 + 3.9. Let z = l + -38.2. Let n = z - 0.5. What is n rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12383 + 12382.5. Sort 0.4, 1.8, -15, p in increasing order.\nAnswer: -15, p, 0.4, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5 = 17. Let l = 0 + 3. Suppose 0 = -2*w + 3*w - l. Solve 4*p + b*i = 23, -3*p - 14 = w*i - 7*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.89 + -0.11. Let i = 9 + k. Let x = -3 - -1. Which is the closest to 0? (a) 3 (b) i (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -704921, -704881, -704809, -704699, -704545?\nAnswer: -704341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + -214\/5. Let q(z) = z**2 - 3*z - 1. Let v be q(3). Is v at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(143) - sqrt(143)*1)\/sqrt(11) + 3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*u**3 + 14*u**3 - u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 52*v + 17*v**2 - 13 - 33*v - v. Is c(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122.5 != 118439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91559.69 kilometers to centimeters.\nAnswer: 9155969000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0915 and 4338.2772016.\nAnswer: 4338.1857016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 - 4*k + 1. Let v be c(3). Let x(w) = w**2 - 3*w + 3. Let t be x(3). Sort t, -3, v in decreasing order.\nAnswer: t, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(85))\/sqrt(5) - (0 + sqrt(1088) + sqrt(1088) + -3))**2.\nAnswer: -66*sqrt(17) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -91, 3, 5, 0.05, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**3 + 465 + 461 - 926.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i*i\/(i\/(i*i*i*i*i**(1\/2)*i)))\/i)*i)**40)**(-21)*((i**(-2)\/i*i)**(-3\/14))**(-40) assuming i is positive.\nAnswer: i**(14580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -5, 1.8, 23.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) 2\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 0. Let x(t) = t**3 + 5*t**2 - t - 3. Let p be x(-5). Suppose p*j - 4*l - 14 = 0, -2*l - 1 = j - 0*l. Solve -3*u + n = j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1245804 and -51.\nAnswer: -63536004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 16. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let b(r) = -18*r. Let o be b(1). Let x = 163 + -163. Sort w, x, o in ascending order.\nAnswer: o, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19349 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 - 15593360*v**3 + 15197070348952*v**2 - 30394093917840*v + 15197039162244.\nAnswer: 4*(v - 1949169)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 5. Let b be (h*2\/(-6))\/1. Suppose -25*u = -26*u + b. Solve 1 = 4*v - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -395*s - 3*s + 1805*s to k*s + v and give k.\nAnswer: 1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.140093289008 + 0.232.\nAnswer: 0.372093289008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-81) - (-4)\/(-36). Which is greater: c or -4\/505?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1432415 (base 8) to base 13.\nAnswer: 113211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmmmamgamagaggmgmgm.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 8 = -4*p. Let c(x) = x**2 + 0*x**2 + x**p. Let y(d) be the first derivative of d**3\/3 + 16. Give y(c(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l. Let d be i(1). Let u(w) = -2*w**3 + 5*w**2 - w - 4. Let h be u(d). Let y = h - -18. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19*-0.8.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 24 = -7*k. Let x be 7\/(-7) - (-1 + -2). Let f be 1 - x\/(2\/(-87)). What is the highest common divisor of f and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2085*d - 2*q = -2093*d - 44, -18*q + 692 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 4*l. List the prime factors of -1 + -2 + l + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 1 - 4*f**2 - 2*f**2 + f**2)*(-22 - 7*f + 0 + 34).\nAnswer: 35*f**3 - 67*f**2 + 19*f - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*o + 56*a**2*o**2 - 817*a**2 - 14*a*o**2 - 2*a*o - 116*a - 77*o**2 wrt a?\nAnswer: 6*a*o + 112*o**2 - 1634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -4.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(((-141687)\/351)\/(-173))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a hour in minutes?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20463746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = q - 266. Let o be 24337\/(-170)*(-5)\/(-6). Let s = o - -2106\/17. Calculate the common denominator of s and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190*l*x**3 + l*x - x**3 - 10*x**2 wrt l.\nAnswer: -190*x**3 + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 66*s + 661. Determine v(-54).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 9 - 8 + 19)*(-2 - 2*n + 2).\nAnswer: 8*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 2, 18, 68, 164, 318?\n\"Answer: 2*n**3 - n**2 - 17*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000223356 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkiiikbiipkipizzbzpb. What is prob of sequence pkk?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7729, -7731, -7733, -7735, -7737?\nAnswer: -7739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n. Let q(s) = -2*s**2 - 10*s - 1. Let z be q(-4). Let g be d(z). Suppose 7*j = 84 - g. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - r + r)*(-7*r + 3*r + 3*r) + r - 3*r**2 - r + 1 - r**2 + r**2 + 2*r**2.\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/316260 and 149\/1458.\nAnswer: 25617060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -3*c - 264. Solve -5*y = -5*h, -5*y + 4*h - c = 5*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3726 + 3730. Solve -4*w = -z - 12, 2*z - a*w + 3*w = -10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g*g)\/((g*g**(2\/9)*g)\/g))\/(g**0)**(-1\/39) assuming g is positive.\nAnswer: g**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8 = -2*o - y, 5*o - 5*y = -25. What is the lowest common multiple of 822 and o?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-16)\/b*b\/(b\/(b*b\/b**(-2))*b))\/(((b**15\/b)\/b)\/b**(1\/32)) assuming b is positive.\nAnswer: b**(-863\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1780 and 97\/1990?\nAnswer: 354220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Let h(p) = p**3 - 4*p**2 + 4*p - 11. Let l be h(4). Solve 0 = l*n + 3*k + 26, -2*k = 2*n + 9 + t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 + -96. Suppose 4*o + 2*t - 480 = 0, -t + x = o - 5*t. Suppose o + 44 = 5*c. Calculate the highest common factor of 22 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587850000 rounded to the nearest 1000000?\nAnswer: 1588000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 83. Is ((-25508)\/21)\/(y\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 18. Let z be x(-18). Is 12 a factor of (-1852)\/(-22) - z\/(-99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 1:00 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phph when four letters picked without replacement from {h: 6, a: 2, p: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 1\/4, -2\/3, 27.87491, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -4, 4, 1, 20.3905, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 13494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -71175 rounded to the nearest one thousand?\nAnswer: -71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, -2\/3, 4, -202, 1.6 in decreasing order.\nAnswer: 4, 1.6, -3\/8, -2\/3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027325 rounded to four dps?\nAnswer: -0.0273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -868\/109 + 41507\/6540. What is the common denominator of -139\/540 and l?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 3*y + 3. Calculate v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 10. Put m, 3, 4 in decreasing order.\nAnswer: 4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*f - 8*f. Suppose -5*c + 4*c - 45 = f. Does 10 divide (-27)\/4*600\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 966 and 6?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*t + 10 + 12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -56 + -17 + 30 + -5\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - -5 - (8 + (-336)\/49)*7. Let l(r) = -r**3 - 6*r**2 - r + 10. Determine l(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5206*x + 5205*x + 4*x**2 + 4*x**3 - 6*x**2 + 36*x**4 in the form m*x**3 + v*x**2 + w*x**4 + a + p*x and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w - 3*g + 8 = 0, -3*w - 3*g + 12 = 0. Let t(c) = 13*c**w - c + 18 - 18. What is the tens digit of t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/5 + 11408092*x**2\/5 - 34224258*x\/5 = 0. Calculate x.\nAnswer: 0, 3, 5704043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1)*1\/((-12)\/(-2736)*12).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8214 + -58.13?\nAnswer: 8155.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a5a (base 13) to base 16.\nAnswer: -f7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 5*k**2 - 8. Let q be w(6). Suppose -5*a + 17 = -3*v, 2*v - 10 = 5*a - q. Calculate the smallest common multiple of v and 2*(-4)\/(3\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 122.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 1)*(2 - 4 - 3) - 5 + 2 + 0)*(0*c**2 + 2*c**3 + 0*c**2)*(c + 3*c - 2*c).\nAnswer: -52*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, -1, 0.4, 0, -2, -1\/14927?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3541920, -3541924, -3541928, -3541932, -3541936, -3541940?\nAnswer: -3541944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -48. Suppose -n + v = -5*n. Let h be 48\/22 + n\/55. Calculate the greatest common divisor of 6 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**2 - 2*t**2 - 2*t**2)*(-20*t - 10*t - 2*t).\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 11*u**2 - 18*u + 29. Give z(-13).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n**2 - 5*n - 3. Let j be 7\/(-6)*(-54)\/42*-2. Let x(i) = -4*i**2 - 5*i - 3. Determine j*p(r) + 2*x(r).\nAnswer: r**2 + 5*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -74143.\nAnswer: 3\/74143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15*d**2 + 7*d + 2. What is the hundreds digit of h(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38, -181, -428, -785, -1258, -1853, -2576, -3433?\n\"Answer: -w**3 - 46*w**2 + 2*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13 + 0*v**3 - 8 - 39*v**3 - 7 wrt v?\nAnswer: -117*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000215284 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 77825272*s\/5 - 1514193240468496\/5.\nAnswer: -(s - 38912636)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - a + 1 = 2*h, -4*h - 4 = 4*a. Suppose -3*b = -2*s - 3*s - 17, -2*b - h*s + 22 = 0. Factor -1\/3*o**3 - b*o - 3*o**2 - 9.\nAnswer: -(o + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (0 + -2 + -8 + 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:10 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 38. Suppose 3*y - 35 = 3*t - 11, 0 = 2*t - 3*y + 14. Let l be f(t). Let a = l - -42. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -431, -787, -1141, -1493, -1843, -2191?\n\"Answer: p**2 - 359*p - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 + 89. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -69*z**3 - z. Let a be i(-1). Let p = a + -50. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485\/4 greater than or equal to 122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -v - 36. Suppose -s - v*s = -25. Let j(h) = 3*h + 4*h**3 + 2*h**3 + 5 - 10*h**3 - 6*h**2 + 5*h**3. Give j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 9858*y - 117 = 9859*y, -3*y = 4*n - 105 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.5, -56, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h + 1150 = -34*h - 36*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 19 - 21 - 24 + 10 + 7*t**3 to b*t + j + q*t**3 + u*t**2 and give j.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14080068 - -3?\nAnswer: 14080072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*c + 14. Suppose -c*d + 3 + 7 = 0. Suppose -m - 2*v = v - 278, -1374 = -d*m + v. What is the highest common factor of m and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703894420 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -363.3 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5790967 at least 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*c**3*w + a*c - 2216*a*w + a - 22*c**2*w + 2*c*w wrt c?\nAnswer: 3*a*c**2*w + a - 44*c*w + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*p*q**2 + a*p + 1014*a*q**2 - 4*a*q - 6*a + 3*p wrt q?\nAnswer: 4*a*p + 2028*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/((g*g**(9\/2)\/g*g)\/g))\/g)**(-24) assuming g is positive.\nAnswer: g**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-5)*(0 + 1). Let d = -0.1 + 0.5. Which is the closest to l? (a) -4 (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 2*f + f. Let g(b) be the third derivative of -5*b**4\/12 - 14*b**2 - 6*b - 22. What is g(y(r))?\nAnswer: -40*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -454, -482, -536, -628, -770, -974, -1252?\n\"Answer: -2*d**3 - d**2 - 11*d - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9852 and 6656668.\nAnswer: 3284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2 - m**2 - m + 10*m + 8. What is the tens digit of i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -4*a**3\/3 - 34*a**2 + 41*a. Let z be b(-8). Sort 0, z, -2, -5 in descending order.\nAnswer: 0, -2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -5100772?\nAnswer: -5100767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.3952209 microseconds in weeks?\nAnswer: 0.00000000030819315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2043354822 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -7.2. Let x = 105 - 96. Let h be (x\/(-27))\/(3\/(-6)). Which is the closest to q? (a) 1\/6 (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -67091 - 14*o**2 + 134234 + 3*o**3 - 67108 + o. Let c be 8 + (1 - (-1 - -1)). Is w(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/10 + 16553*w\/10 + 461916\/5 = 0?\nAnswer: -16497, -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 2 + 2 + (3*f - 3*f + 2*f)*(-5*f + 0*f + 4*f) - 7*f**2 + f**2 - 14*f**2.\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 54, 55, 56, 57?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -217081995 by 65.\nAnswer: -3339723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 47018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 15, u: 3}.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 10*w**2 + 3*w - 38. What is l(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 3:54 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 - 5*q + 5. Let f(m) = -m**2 + 3*m - 3. Suppose -642*i + 144 = -594*i. Give i*l(s) + 5*f(s).\nAnswer: 3*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 170, -3, 4, -5 in decreasing order.\nAnswer: 170, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206500.\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 50138288.3 to the nearest 10000.\nAnswer: 50140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:00 PM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75294.\nAnswer: 2, 3, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 96907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*w**3 + 23*w**3 + 44*w**3 + 103*w**3.\nAnswer: 221*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2\/5 - 720104*v\/5 - 720102\/5 = 0.\nAnswer: -360051, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4 - 19*j**3 - 36*j**2 - 5*j + 14 = 0. What is j?\nAnswer: -7, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1959578?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:19 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l + 12. Let w be -1*3*2\/l. Let t = -44 + 46. Solve -5*z + w*r = -t*z + 11, -6 = z - 3*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.114564677 to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 2059377 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 686219569 to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2 + -2a165a?\nAnswer: -2a1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + x + 270 = 0, -4*n - 222 = 6*x - 4*x. Let f = n + 58. Suppose 1236 = 4*k - f*b, 3*b + 977 = 2*k + 361. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v + 3*k - 336, 0 = -3*v - 2*k + 489. What is the remainder when v is divided by -5*1*(-9 - -1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13339 + 13342. Let -2\/5 + 57\/5*c**x - 1\/5*c + 27\/5*c**4 + 31\/5*c**2 = 0. What is c?\nAnswer: -1, -1\/3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -367*n - 726 = -4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1041539*z**4 + 149973.\nAnswer: 4166156*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212309.\nAnswer: 29, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1.2. Let z = 1.80301 + -1.70301. What is the closest to z in 1, 1\/7, j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 7259\nAnswer: -3\/7259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2*2\/36). Let c(i) = 17*i + 9*i + 1298 - 1320. Let v be c(o). What is v rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3709723 and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 + 77 - (-6)\/2*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4124*(1\/4)\/((-10)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 + 4*l + 3. Let i be k(-3). Round i to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135191 to the power of 1\/2, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 1, -6, -4 in decreasing order.\nAnswer: 12, 2, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 z when three letters picked without replacement from llktjzszs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(528\/104) - 4\/(-22). Let v be (0 + 2 + -3)*(-1 - n). Suppose 2*t + 4*g - 10 = v, 22 + 5 = -5*t + 3*g. Put 2, -2, t, 5 in decreasing order.\nAnswer: 5, 2, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 times 9.83079\nAnswer: -176.95422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -230031 - -31?\nAnswer: -230000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -29*z**3 - 11*z**2. Let u(v) = -19*v**3 - 7*v**2. Let p(m) = -5*r(m) + 8*u(m). Find the third derivative of p(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**5\/15 + o**4\/4 - 2*o**3\/3 - 20*o**2. Factor s(c).\nAnswer: 2*(c + 2)*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 624439.8ns?\nAnswer: 0.00001040733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from {j: 1, z: 2, f: 2, m: 1, l: 1, d: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/210*(175\/(-2))\/7*-3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6069*k*m**3 - 11*k*m**2 - 1273*k*m - k + 2*m**3 - 5*m**2 - 3445*m wrt m.\nAnswer: 36414*k*m - 22*k + 12*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5 + 1688*w**4 - 6988*w**3 - 72896*w**2 + 159984*w - 81792 = 0.\nAnswer: -426, -6, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 707.983 to the nearest 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2991 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4871017622 to the power of 1\/3, to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/462 and -51\/847.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1857 = 181*u - 45*u + 6031 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/27)*z\/z**(-2) assuming z is positive.\nAnswer: z**(79\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -406 (base 9) to base 14\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4\/4 + 415*g**3\/2 + 38265*g**2\/4 + 77805*g + 68445 = 0. Calculate g.\nAnswer: -78, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 659 - 184 = 0. Let p = 119 + s. Calculate the least common multiple of 4 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -3150998?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35729.\nAnswer: 35729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*r - 2*v - 2114, 0 = 2*v - 10. Suppose -4*t + r = -230. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(20\/9)*c)\/(c*c**(-22)\/c*c) assuming c is positive.\nAnswer: c**(227\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f*v**4 - 256*f*v**3 - f*v**2 - f + v**4 - 170*v**2 wrt v?\nAnswer: 96*f*v - 1536*f + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**4\/12 - 13*r**3\/2 + 13*r**2\/2 + 111*r - 1. Let y be q(-39). Solve -4*t + 11 = 4*j - t, 2*j = -3*t + y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31610 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 119*p**2 - 2*p + 3. Let c be t(1). What is the third derivative of 63 - c + 13*l**3 + 4*l**2 + 3*l + 57 wrt l?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1564\/273 + 4\/273. Which is smaller: -7 or o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 30*b**2 - 267*b - 1327. Calculate the remainder when d(-5) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppfrwiwf. What is prob of picking 1 i and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 2. Let d = -4 + 9. Suppose d*y + 4 = 2*h, -5*y + 41 = 4*h - 27. What is the remainder when m(-4) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.2 - -20. Round r to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -h + 2*c, h = -4*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a minute in seconds?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 2*a + 5. Give u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 124558889 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -439 + 1?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 = 5*w - 5*u - 294, 3*w = -2*u - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*v**5 - 155*v**4 + 955*v**3 - 1405*v**2 + 320*v + 300 = 0. Calculate v.\nAnswer: -15, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/13 + (-147)\/(-975))\/(15472\/(-154720))\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 45*h**2 + 31. What is the remainder when 183 is divided by g(45)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*z = 2734, 5*j + 4*z - z = -4544. Let p = j - -2945. Suppose -5*h + 5*b = -p, 2*h - 3*b - 808 = 2*b. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(2\/3))\/(-26 + 25). Suppose b - 2*w - x*w = 40, -2*b + w = -35. Is b >= 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5163760, -5163761, -5163762?\nAnswer: -5163763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/(-8))\/(1\/16). What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 7:09 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -24*q + 7*q + 4*q - 18*q. Suppose 2*a = -3*b + 19, 0 = -0*b + b - 5. Let o(t) = 6*t**2 - 6*t**2 - t**2 + 2*t**a. Determine o(x(d)).\nAnswer: 961*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3432 and 603604?\nAnswer: 517892232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 169200886\nAnswer: 3\/169200886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 455, -1253, -2961, -4669?\nAnswer: -6377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5\/2 + 11*b**4\/2 + 41*b**3\/2 + 61*b**2\/2 + 15*b = 0.\nAnswer: -5, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -326760 divided by 14\nAnswer: -23340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + u = -15, -3*i + 18*u = 17*u - 20. Suppose -10*x + 8*x + 4332 = -3*f, i*x - 10852 = 2*f. Round x to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 355042*v**3*y**4 + 5*v**3*y**2 + 19*v**2*y**4 + 1939307*y**2 wrt y.\nAnswer: 8521008*v**3*y + 456*v**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*x - 19*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -10110113?\nAnswer: -10110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.1, 6, -1, -3\/13, -4 in increasing order.\nAnswer: -4, -2.1, -1, -3\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/32 and 21\/1352.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-1 + sqrt(2736) + sqrt(2736)*1 - ((0 + sqrt(2736))*2 + sqrt(2736))) - 4*((sqrt(2736) - (-1 + sqrt(2736)))*-4 + 0 + 0 + sqrt(2736)))*6)**2.\nAnswer: -78624*sqrt(19) + 4832388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/4 - 319*a**4\/4 - 13749*a**3\/4 + 7940579*a**2\/4 - 3959660*a + 1978032 = 0 for a.\nAnswer: -147, 1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110 - -100111000110000001?\nAnswer: 100111000110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:39 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -9251455.\nAnswer: -3\/9251455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137 by -330.\nAnswer: 137\/330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37 - 16 + 28)*(0*r + 0*r + 2*r**2) + (0 + 2 + 2)*(7*r**2 + r**2 - 4*r**2).\nAnswer: 114*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -5. Suppose 2*j = 53 + 9. Suppose -3*t - 1 = -2*t, 3*t - j = -g. Calculate the highest common factor of i and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -68*r**3 + 35*r**2 + 21*r + 50. What is the tens digit of q(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*n + 441 = 106 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 10, 145, -4 in decreasing order.\nAnswer: 145, 10, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -90. Suppose 74 = -5*g + v. Let p = 20 - g. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 350*v**2 - 20*v - 3. Let p(c) = -233*c**2 + 14*c + 2. Give 7*p(o) + 5*x(o).\nAnswer: 119*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -4109\nAnswer: -2054.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531095 is divided by 15615.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 + 5*k - 4. Let b(o) = o**2 + 10*o - 4. Let n(a) = a**2 - a. Let u(z) = b(z) + 4*n(z). Let p(x) = -4*q(x) + 3*u(x). Give p(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -291*s**3 - 1457028*s**2 + 45063*s = 0?\nAnswer: -5007, 0, 3\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:36 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*x**2 - 2*x**4 + 4*x**3 - 6*x**3 - 5*x**2 - 3*x as c*x**2 + d + w*x**4 + r*x + a*x**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 2670*d**2 + 5*d + 2670.\nAnswer: -5*(d - 1)*(d + 1)*(d + 534)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 35199118 a multiple of 790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -111, -166, -223, -282, -343, -406?\n\"Answer: -k**2 - 50*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**3 + 36078840*x**2 = 0.\nAnswer: 0, 12026280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19357\/6 smaller than 319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4197 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.3 + -87.375.\nAnswer: -83.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3638938.155 to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/2)\/(((-3)\/(-3))\/255). Let g = 468 + s. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-24)*k**(-2) assuming k is positive.\nAnswer: k**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 858 = -3*h, 4*f - 1137 - 61 = -5*h. Calculate the remainder when f is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z + 2*y = 46, 4*y - 176 = -4*z. Suppose -5*w = -2*h - z, 0*w - h = 5*w - 39. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(539) + 0)*6 - (-2 + (sqrt(11) - (-2 + sqrt(11))) + sqrt(11) - sqrt(22)\/(1*sqrt(2)))*-6)**2.\nAnswer: 174636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 115499.0578 + -0.43?\nAnswer: 115498.6278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39274 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -630.962242074 and 120?\nAnswer: 750.962242074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9827 + -9820. Sort k, -2, 2, 6\/23, 5 in ascending order.\nAnswer: -2, 6\/23, 2, 5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8)*-12)\/(816\/32368)?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 962667697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16056 is divided by 4011?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469, 1493, 1517, 1541, 1565, 1589?\nAnswer: 1613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/23776 and -101\/18.\nAnswer: 213984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.2214463 + 406.7761637. Let k = 417 - h. Round k to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 6, 5*o + 3*v - 7*v = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 49 + 89*q**3)*(0 + 0 + q) + (0*q**2 + 0*q**2 + 4*q**3)*(-17*q - q - 3*q).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 8. Let r = 5 + w. Let n = -1 + -2. Which is the nearest to 2? (a) n (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944 divided by 2?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*z + 7*z**3 + 58*z.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 2 (c) -0.4 (d) 1 (e) 5 (f) -0.1 (g) 281310\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169 = -246*z - 137 + 60 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from ykytytyyyyyutyy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from ngveveuvne?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(363) + -2)*4)**2 - (3 + sqrt(363) + -2)).\nAnswer: -715*sqrt(3) + 5873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52078288 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2809058 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 6:05 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6059.738 kilograms?\nAnswer: 6059738000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -7*b**3 + 4*b + 1 - 1 - 1 + 2*b**2 - 6*b**2. Find y such that t(y) = 0.\nAnswer: -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/(i*i\/(i\/(i*i**(-7)))))\/((i\/((i**(-2\/7)*i)\/i))\/i)**10)**9 assuming i is positive.\nAnswer: i**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 16*r + 28. Let j = -50 - -53. Let f be y(j). What is the highest common factor of 95 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 7. Let i(w) = w - 13. Determine 6*i(m) + 11*p(m).\nAnswer: -5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 5*w**3\/3 + 2*w**2 - 7*w + 25. Let z be (-2)\/((10\/(-3))\/5). Is 25 a factor of j(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*y + 10*y. Suppose 6*x - y*x = 60. Let c = 24 - x. What is the remainder when 15 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1263161*n - 1262516*n - 16770 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13974*x + 52 - 107 + 29032*x + 55.\nAnswer: 43006*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/11623 + 639279\/162722. Calculate the common denominator of 83\/16 and h.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + y**2 + 2. Suppose 0 = 5*z - k + 2, -6*z + 4 = -z + 2*k. Let d be w(z). Differentiate -5 - t**4 + d*t**4 + 3 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4 = -14. Let m(p) = 0*p - 3*p + g*p. Let a be m(-2). Solve 13 = -5*v - a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -364559*f - 508430?\nAnswer: -364559","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6033 + -5462. Calculate the remainder when 1162 is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -255*g**3*m**3 + 2*g**3 + 6*g**2 - 1791*g*m**5 - 172*g*m - 24*m**2 wrt m?\nAnswer: -1530*g**3 - 107460*g*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 312b1 - 5?\nAnswer: 312ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1366*k + 1378*k + 1379*k + 1382*k - 6881*k + 1382*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + 309\/15. Calculate the greatest common divisor of a and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4079108874 and 0.246511?\nAnswer: 4079108873.753489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 - ((31 - 0) + -51).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -0.2, -21\/8, 2\/7?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 442. Suppose -c = 7*j - 388. Let m(d) = -3*d - 27. What is m(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.3766 + -0.0223?\nAnswer: -5.3989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(2 + ((sqrt(832) + -2*(sqrt(832) - 1*sqrt(832)) + sqrt(832))*-2 + 0)*-5))**2.\nAnswer: 12800*sqrt(13) + 8320064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 128*r + 1666. Let i be t(-13). Determine v, given that -2\/3*v**i - 8\/3 + 10\/3*v = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 494.04 - 478. Let y = k - 16. What is y rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -585.65 - -628. Let v = h - -2.15. Let l = -76 + v. Round l to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17148\/(-3)*(-66)\/44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((1 + sqrt(1100) - sqrt(1100)) + sqrt(1100))**2 - (-5*(sqrt(11) + 1) + -3)**2) + -3.\nAnswer: -5847 - 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n - 3*g - 35, 0 = -n + 3*g - 5. Let z = n + 36. What is the lowest common multiple of 22 and z?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296738 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000110 (base 2) in base 12?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*f - 10. Suppose -4*n + 3 = -f. What is the common denominator of -17 and ((-83)\/14 + n)\/(4\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6260 and -6?\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-600*c**3 + 404*c**3 - 3*c**2 - 119 - 3*c + 198*c**3)*(-7*c - 2*c - c) as w*c + m*c**3 + b*c**2 + o*c**4 + j and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -730, -1537, -2322, -3073, -3778, -4425?\n\"Answer: 2*h**3 - h**2 - 818*h + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.7 + 32.7. Let v = 22 - g. Let f = -23 - -23.9. Which is the closest to f? (a) -0.1 (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11876 = 5*u - m, 2*u - m = 2427 + 2321. Does 42 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7647125 by -1529425.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1768 (base 12) in base 2?\nAnswer: -101100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -44*i**2 - 8*i + 8. Let x be j(1). Let v be 52\/(-286) - ((-14)\/x + 0). Let r be 8\/(-16) + 1*2. Which is the closest to v? (a) 2 (b) r (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 165607\nAnswer: 5\/165607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1164155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/12 + 5*x**4\/24 + 3*x**3 - 21*x**2. Is 6 a factor of i(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -180 (b) -2\/17 (c) -520 (d) -9\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1066 and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50762.7 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 0, -26, -84, -186?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**4\/30 - 14*o**3\/45 + 16*o**2\/15 - 8*o\/5 + 15. Find x, given that m(x) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -0.2, -78\/11, -29 in increasing order.\nAnswer: -29, -78\/11, -0.2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125547 is divided by 33104.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 4*y - 24. Suppose -x = -4*x + 69. What is the remainder when x is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -95384*h**2 - 8*h. Let d(f) = -3*f. Calculate d(n(j)).\nAnswer: 286152*j**2 + 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163*q + 795*q + 318*q + 83*q + 617 + 246 with respect to q.\nAnswer: 1359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rllg when four letters picked without replacement from {g: 7, l: 2, r: 1}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.56 + -24.54. Let s = f + 24. Let z = s - -0.1. Are z and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + -2 + (5 - 1). Solve d - 2*c + 5 + g = 0, -3*d = 5*c - 18 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 3*q - 89, -2*g + 6848 = q + 6755 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4. Let g(n) = -5. Let t(r) = -3*g(r) + 4*h(r). Let s(z) = -2*z**2 + 3. Let c be 7\/(168\/(-120)) - (-3 + 0 - 3). Calculate c*s(k) + 3*t(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15119)\/(-3) + 3\/9. Round z to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.98852 millennia in years?\nAnswer: 45988.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279153 is divided by 1310?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - t + 6 - 1)*(-30*t + 7*t**2 - 2*t**2 + 33*t) in the form i*t + f*t**2 + h*t**3 + m and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31351612 divided by 1093.\nAnswer: -28684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204072 is divided by 67911.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(2\/11)\/i)\/i))**(-41)*i**(2\/41)\/i*i**(2\/37) assuming i is positive.\nAnswer: i**(-1943078\/16687)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 51 = 2*u. Calculate the smallest common multiple of u and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -128. Determine p, given that 18*p**2 + r*p**3 + 0*p**2 - 27*p - 9*p**3 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 481142932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 2\/3, -2\/1447, -6, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/(sqrt(4)\/sqrt(2)) - (sqrt(484)*-4)\/sqrt(11))*1)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*x - 3*d, 4*d + d = 0. Suppose x*z - 10 = 7*z. Let 0 + 0*m - 4\/3*m**3 + 2\/3*m**z + 2\/3*m**4 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -765 divided by -255?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 4 = -7*r + 6*r + 3*d, 0 = d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -475780*g + 360. Let h be p(-38). What is h rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 + 7*v + 2. What is y(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -2. Let u = a - -10. Let s = 8 - 5. Solve 2*b = u*b + s for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 19, 77, 189, 373?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -523?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6788461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - 1 + 1 + (4 + 1 - 4)*(-4 + 4 + h) + 2*h - 5 + 5)*(29*h - 10*h - 10*h) as p + r*h + j*h**2 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 64 + 189. Suppose 0 = v*j - 19*j - 52. Solve 15*l - 8 = j*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4268 = -5*j + 3*s, 0 = 2*s - 50 + 62. Calculate the remainder when j is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xex when three letters picked without replacement from pppxpxxexip?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16023, -16010, -15997, -15984, -15971?\nAnswer: -15958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1188, 77, -0.1?\nAnswer: -1188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4)*12*(-2)\/(-12). Solve o*k = -3*c - 0*c, 0 = -2*k + 5*c - 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 19, 3, -817, -7, 5 in decreasing order.\nAnswer: 19, 5, 3, 1, -7, -8, -817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m + 2*m**4 + 9*m + 4 - 3*m - 3*m**2 - 2*m**3 in the form o*m**2 + n*m**3 + b*m + l + f*m**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.21152 (b) -1.911 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 5*x**2 - 1. Let m be p(-5). Let y be (-2 + 2 - m) + 3. Let a(g) = -4*g**2 - 5*g + 6*g - 6 + 2 + g**3. Calculate a(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2392915 (base 11) to base 14\nAnswer: 7a49a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5626 = -29*l - 5104 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6852 - -9702. Suppose -910 = 4*j - v. What are the prime factors of j?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**5 + 3914*x**4 + 3*x**3 + 16005*x wrt x?\nAnswer: -40*x**3 + 46968*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 2*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2. Let m(y) = 5*y**2 + 20*y. What is h(m(f))?\nAnswer: 50*f**4 + 400*f**3 + 800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**12)\/h)\/h*h*(h*h*h*h**(-16))\/h)\/((h\/h**3)\/((h\/(h**(-10\/3)\/h))\/h*h*h)) assuming h is positive.\nAnswer: h**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4 = -4*i + 4*w, -2*w = 5*i - 28. Let s be ((-30)\/i)\/(72\/(-48)). List the prime factors of -112*(25\/(-10))\/s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 477, 694, 899, 1086, 1249?\nAnswer: 1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1037879*y**2 - 65*y + 300. Let t be p(5). What is t rounded to the nearest 100000?\nAnswer: -25900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 904\/(-16) - (-3)\/(-2). Let x be f\/18 + 4\/18. Let g be 8\/5*x\/(-12). Which is the second biggest value? (a) 1\/9 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -16533.\nAnswer: -16533, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 120401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.168 times 5\nAnswer: -0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)*1 - (sqrt(75)\/sqrt(3))\/sqrt(5)) + -4 - (1 + sqrt(405) + -5)**2.\nAnswer: -425 + 82*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225610723 to the nearest integer?\nAnswer: 15020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93696378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10585? (a) -5 (b) -1\/7 (c) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmn when four letters picked without replacement from mmnmnmm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 0 + 0 = -4*q + 13, 140*q = -c - 60 + 197 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.93 + 0.13. Let y = -4.2 + r. Let p = 0 + -1\/6. Sort -0.4, p, 5, y in descending order.\nAnswer: 5, p, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 2. Let h be f(2). Let q = 2 + h. Suppose 19 = -v - q*v - 5*s, -4*v - 2*s = -14. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11)\/(-5) + (92\/(-10) - (-800)\/80). Let v(t) be the second derivative of 7\/2*t**q + 0 + 16*t - 7\/2*t**2. What is the derivative of v(o) wrt o?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*f = 0, -8*f = -3*f + 5. Suppose -4*u - 12 = -r*d, -5*d + 2*u = u - 3. Determine q so that -4\/3*q**4 - 1\/3*q**3 + 0*q**2 + 0 + d*q = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 322, 734, 1300, 2014, 2870?\nAnswer: 3862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 h when two letters picked without replacement from hgohighobgoggigoggh.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 76883585 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: Find the third derivative of -1668535*n**3 - 1113470*n**2.\nAnswer: -10011210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*v - 2 = 0, 4*v = -9*z + 6*z + 13. Calculate the highest common factor of z and 192.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from mnmnmqnuunnnnqnmmua?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127462?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (1 + 1)) + (388360\/14 - 13) a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a - 3. Let t(k) = 4*k + 0*k - 15*k - 15 - k**2 - 5*k. Let x(y) = -9*j(y) + 2*t(y). Give x(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 729 and 42768?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 15) in base 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*v + 21765 = -20*v + 3*p, -v + 4*p = -10866. Calculate the greatest common divisor of v and 666.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u - 3*u - 4*u - 2. Calculate r(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a - 13. Let g be x(-10). Suppose -8 = -g*l + 13. Suppose -l*p - 1 - 2 = 0. Let c(w) = -w + 1. What is c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -19*u + 1\/3*u**3 + 0 - 5\/2*u**2. Calculate g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/64*2*(-2262)\/91 and 5\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1304 - 0?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265 + 263. What are the prime factors of -4 + r - (-404 + 0 + 2)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 2 x when four letters picked without replacement from {u: 5, x: 2, m: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 48543 (base 9) to base 12\nAnswer: 169a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = -h, -5 = 2*h + 1. Solve -3 = -f + 3*j, -4*f - 3*j - 6 = -z*j for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 362 and 2200?\nAnswer: 398200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -84 + 0*y**2 + 2*y**2 + 5287*y**4 - 5273*y**4 with respect to y.\nAnswer: 56*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 - 10*i - 10. Let d(j) = -3*j**2 + 4*j**2 + j - 1 - 2*j. Let u(o) = 6*d(o) - v(o). Let w be u(4). Let y(k) = k**2 - 6*k + 5. Calculate y(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 + (4 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 561*m**2 + 101*m + 61. Is o(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-6\/23))**(-17\/4))**(2\/13) assuming w is positive.\nAnswer: w**(51\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21b (base 14) to base 2.\nAnswer: 110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -24. Suppose -i*f - 1112 + 3717 = 0. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, 2, 0.724?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110470 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1096602294.\nAnswer: 2, 3, 997, 183317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343*470434.\nAnswer: -161358862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*sqrt(1620)*6)\/(2*sqrt(900) - (3*sqrt(81) + sqrt(9))))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 e, and 2 v when four letters picked without replacement from vgeqgeggvgggg.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*c - 1292, -9*c = -11*c + 5*z + 1247. What is the lowest common multiple of c and 8?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123.8321m in millimeters?\nAnswer: 123832.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2854193 divided by -65?\nAnswer: 2854193\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2*b - 3*j + 16 = 0, 2*j = -5*b + 20. Solve 0 = -a - b, 5*w + 7 = -3*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/5 - 29816*a\/5 + 55562116\/5.\nAnswer: 4*(a - 3727)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328276*w = 328439*w - 163 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 62, 72, 96, 140, 210?\n\"Answer: g**3 + g**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 4*a = -400. Let v = a + 64. Is (-8)\/v + (-1339)\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/3 (b) 3\/5 (c) 32604\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*h + 70*h = -30840. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8724 is divided by 1451.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 17ab?\nAnswer: -17ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12896456, -25792916, -38689378, -51585842, -64482308?\n\"Answer: -q**2 - 12896457*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 1162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5794757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r - 5. Let l(x) = 4*x - 5. Let v(j) = -3*l(j) + 2*z(j). Suppose 5*d + n = 6, d = 4*n - 3 - 0. Let y be ((-2)\/3)\/(d\/(-6)). Give v(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 6*p**2 - 5. Determine i(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -562.05456 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 43. Let m = -2 + -20. Let k = b - m. What is the greatest common divisor of 40 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z**2 + z - 4. Let k(w) = -w**3 - w**2 + w - 5. Let r(f) = 6*b(f) - 5*k(f). Find h, given that r(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0 + 0)*(-2*a - 3 + 3) + 0*a**2 + a**2 - 3*a**2 - 1661*a - 5 + 1661*a + 34*a**2.\nAnswer: 36*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 4*k - 8635 + 8632, -5*k - 12*r + 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 0*n**2 - 56\/3*n**3 - 44 - 37*n. Differentiate h(y) with respect to y.\nAnswer: -112*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 981960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a - 12. Let o be m(2). Let k be 2\/5 - 118\/(-5). Suppose p = o*p - k. Solve 0 = 3*n - 5*w + p, 0 = -4*n + n - 2*w - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let w(d) = -d**2 - 6*d + 10. Suppose s - y + 3 = 0, 0 = 4*s - 5*y + 8. Let k be w(s). Let i(c) = k*c - c - c. Give i(o(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -8 - 0. Let h(s) = 2*s - 4. Let t be h(y). Suppose 8 = 2*j - 4*w, 34*j = 31*j + 3*w + 15. Solve j*i = t*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 616995096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 789280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7118008 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -4*o. Suppose 5*h + 27 = 4*t, o*t = 5*h - 0 + 21. Solve 0 = 3*p - 7*g + t*g + 5, -16 = 4*p + 4*g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 + 0.05. Suppose -4*w - 4 = 16. What is the second biggest value in m, 1\/3, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.17 - -3.33. Let v = 7.5 - m. Which is the biggest value? (a) 2\/7 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.196 (b) -29 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - r + 4. Let w be q(0). Suppose 3*v = -2*g + 49, -3*v + v - 58 = -w*g. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -1\/60*c**7 - 1\/48*c**4 + 0*c + 1\/6*c**3 - 1\/8*c**5 - 19\/240*c**6 - 3*c**2 + 0. What is d in q(d) = 0?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v - 4343 = -4847 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z = -8. Let l(g) = -2*g - 6. Let n(i) = -i - 3. Let h(a) = z*l(a) - 5*n(a). Let c(f) = 5 - 2 - 2 - 4 + 2. Calculate 2*c(m) + h(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 14050 = -4*v. What is v rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 150297?\nAnswer: 1352673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s - 15 = 0, 38 = 5*p - s. Which is the closest to p? (a) -4 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110000001000 + -1011100111?\nAnswer: -11111011101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -983*u**8\/336 - u**7\/210 - 413*u**4\/24 - 2*u**2 - 45. What is the second derivative of a(r) wrt r?\nAnswer: -19660*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**4 + 3*f**2 + 7*f + 2. Let r(s) = 8910*s**4 - 4839*s**2 - 35*s - 10. Let c(k) = -5*h(k) - r(k). Find the third derivative of c(l) wrt l.\nAnswer: -213720*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*n + 47866 = 698*n + 4738 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/2*10\/15. Suppose -b*l - 4*l = -72. What is the remainder when 23 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 848.4026 weeks?\nAnswer: 8551898.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzzzzzzzczzzzz.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -143704 divided by 22\nAnswer: -6532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**5\/7 - 3792*x**4\/7 + 2404048*x**3\/7 - 73474560*x**2 + 423208800*x + 1143072000 = 0. Calculate x.\nAnswer: -2, 8, 630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d - 2730 + 2730 - 2*d**5 + (-3 + 3 + 2*d**4 + (0*d**3 - d**3 + 2*d**3)*(0*d - 4*d - 3*d))*(0*d + 0*d - 4*d).\nAnswer: 18*d**5 - 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4\/3))**(-45)*n**(-34)\/n**2 assuming n is positive.\nAnswer: n**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0.4, 0.09, 17, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1734 - -1429. List the prime factors of j.\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4804 is divided by 2256?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 775243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0371069 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.064 + -0.336. What is the third smallest value in -3, l, 1\/3, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b - k + 2, -2*k = 3*b - 4. Suppose -2*n = -7*n - 10. Sort -5, n, b.\nAnswer: -5, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqztzzzzszzqtzzzzs. What is prob of picking 1 q and 2 z?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n**3 - 253676*n**2 - 422768*n - 169104 = 0 for n.\nAnswer: -21138, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3702 + 5\nAnswer: -3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 3*z - 13 + 5*z + z. Let j be n(9). Let v(c) = 2*c + 20. Let k be v(-8). Solve -k*w - j - 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (10 + (3 - (-7 - -15))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4952\nAnswer: -1\/4952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5074804401?\nAnswer: 3, 43, 39339569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 3072?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -17*t**8\/168 + 107*t**5\/60 + 2*t**2 - 2*t. Find the third derivative of s(c) wrt c.\nAnswer: -2040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 31?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 189\/12 + (-5)\/(-20). What is the highest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101997 greater than 102000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0110283 take away -23?\nAnswer: 23.0110283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = -21*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -184*c + 93*c + 2*c**2 - 6*c**3 - 5 + 91*c. Suppose -4*w + 3 = 2*s - 1, 2*w - 5*s = -22. Let v(n) = n**3 - n**2 + 1. Determine w*r(f) - 4*v(f).\nAnswer: 2*f**3 + 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 5*i + 2616, -5*q = 3*i - 3233. Suppose -4*y - 2*r = -58, 0 = 20*y - 21*y - 4*r + 39. Calculate the highest common divisor of q and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.554 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minus -0.21?\nAnswer: 137.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j*j*(j\/(j\/((((j*((j\/(j*j*j**(-5\/7)\/j))\/j)\/j)\/j)\/j*j)\/j)))\/j*j)\/j)*j)\/(j*j**6*j)*(j\/(j**16\/j))**(19\/4) assuming j is positive.\nAnswer: j**(-1011\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504871 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.093645.\nAnswer: 0.18729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 980108 is divided by 51571.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**4\/12 - 2*i**3\/3 - 13*i**2\/2 + 3*i. Calculate the remainder when o(9) is divided by (-1 + -1)*(-44)\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 399253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2024*o**2 + 256*o**2 + 249*o**2 - 2511*o**2.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 33 = -0*u + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3)*2)**2 - ((1*sqrt(15))\/sqrt(5) + sqrt(3)).\nAnswer: -22*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 5*x + 8. Let p be 27\/(-15)*-5*(-2)\/3. Let g be o(p). Solve -i + 5*l = -3 + 17, g*i = -2*l + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 + 5801*v + 17 - 5794*v + 35 + (3 + 3 - 4)*(-v + 5*v - 3*v) - 2*v - 9*v + 0*v.\nAnswer: -2*v + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 47, -2\/13, 3, -4, 0.5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 32 - 13)*(-5 + 2 + 2)*(0*p - p - 2*p) to v + u*p and give u.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 - 5*v - 1. Let j be c(4). Let f = -4 - j. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 18*r - 895. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 0*i**4 - 156 + 0*i**6 - i**3 + 0*i + 27\/7*i**7 - 1\/5*i**5 - 53\/2*i**2. What is the third derivative of v(y) wrt y?\nAnswer: 3240*y**3 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1744*-1177\nAnswer: 205.2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1069 + -865. What is the remainder when q is divided by 54?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2420).\nAnswer: 44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2 - -1.3. Let h = 5 - r. Let g be (15\/(-10))\/(7 + -1). What is the third smallest value in g, h, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49237240*p**6 - 4*p**5 + 249227474*p**2 wrt p?\nAnswer: -5908468800*p**3 - 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4655 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 329*n**6\/24 + n**5\/15 + 5*n**4\/24 - n**3\/3 + n**2 + 6*n - 66. Find the third derivative of l(s) wrt s.\nAnswer: 9870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {p: 1, n: 1, s: 1, k: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5 + 181 = 0. Let p be (-1)\/(-5) + o\/70. Which is the closest to -2\/5? (a) p (b) 5\/2 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (7 + (-2845)\/(-10))\/(1\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(162)*1*1 - sqrt(162) - 3*sqrt(162)*1)\/(sqrt(72)\/sqrt(72) + ((sqrt(99) - (sqrt(99)*-1 - sqrt(99)) - sqrt(99))\/sqrt(11) - sqrt(9))) + -1.\nAnswer: -27*sqrt(2)\/4 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = r - 3*a - 21, 0 = -r - 3*a - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011517 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15 - 3375*f + 576*f**2 + 3372*f + 143 wrt f?\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140089239 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 505502, 2022057, 4549654, 8088293?\nAnswer: 12637974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 7*x + 11. Let o be b(-7). Solve 3*d - 4 - o = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5175 and 87561?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 27*l**2 + 58*l + 64. Is 25 a factor of y(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.3 (b) -975 (c) -1540 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13574\/13 - 1044. Determine d, given that -q + 4\/13*d**2 - 2\/13*d = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37be (base 15) to base 7\nAnswer: 46430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/7)*d)**(2\/37)*(d**0)**20)\/((d*d**1)**(2\/5))**(-46) assuming d is positive.\nAnswer: d**(47746\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113276*q**2 - 226536*q**2 + 113255*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 7. Suppose c - 6*c = 4*f + 43, 3*f + 5*c = -26. Let l = g + f. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - sqrt(112)*-2) + 1)*1 + 0)**2.\nAnswer: 24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -24.23?\nAnswer: -96.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Let u = -1 + q. Sort -3, 3, u in decreasing order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 - 2534071 + 2534071.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/13)*m**(-3))\/(m*m\/(m\/m**(-3\/7))*m*m\/(m*m*m*(m**(-5)\/m)\/m*m*m*m)) assuming m is positive.\nAnswer: m**(-605\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dadacdadsdpv. Give prob of picking 1 p and 2 d.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.4 (c) 68 (d) -1 (e) -4\/7 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = -3*u + 17, -5*u = -4*l + 1. Let q be -65*(u + -5 + 0). Let f = -27 + q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1112 is divided by 241.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -3498, -10504, -21014, -35028, -52546?\nAnswer: -73568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5, 124, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10592280 and 45899880?\nAnswer: 137699640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 2 + 5 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/21062?\nAnswer: 7\/21062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95760?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4895261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -148 + 144. Let u(q) = -141*q - 31. List the prime factors of u(j).\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 19*s - 60. Let c be t(3). Let h(g) = -g**2 + 2*g + 24. Let u be h(c). Solve -v + 3*v - 2 = u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -15*g + 12. Let a(r) = -6*r + 5. Let j(x) = 12*a(x) - 5*w(x). Let p(f) = 4*f. What is p(j(y))?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005826 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105.883 - -106. Let w = -13.083 - n. What is w rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.312 - -0.115234763.\nAnswer: -5.196765237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - 133\/9. Let j be (z\/9)\/1 - -2. Is j > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 33*u = 29*u + 60, 0 = r - 9*u + 104 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 5. Let y(x) = 4*x**3 - 3*x. Let h(q) = 3*q**3 - 3*q. Let a(k) = d*y(k) - 6*h(k). Find the second derivative of a(r) wrt r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r + 15. Let u(o) = 19*o - 54. Let s(a) = -2*u(a) - 7*x(a). Suppose -8 - 12 = 5*w. Calculate s(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014350739 to the power of 1\/2, to the nearest integer?\nAnswer: 31849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366 = 35*m - 26 - 131 - 212 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bb - 1dd?\nAnswer: -2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.209 + -140.791. Let d = 183.2 + u. Let z = d - 54. What is z rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*t + 2106 - 501 = 0, 5*t = 4*x - 6480. Which is smaller: x or 1627?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6\/13, -5, 0.1, 18 in ascending order.\nAnswer: -5, -3, -6\/13, 0.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 3, 0.074, -1698, -0.3, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-6)*64\/20. Suppose -3*f + s = 2. Solve 3*z - 2*b - 15 = 2*b, 0 = f*z + 4*b + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 123*x**2 - x - 5. Is v(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-21)*11886\/165555?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -960\/7 + 31708\/231. What is the common denominator of 41\/66 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -12*b - 10. Let s be w(-6). Suppose 0*p - s = -5*i + p, 0 = 3*i + 3*p - 30. Suppose -3*q + i = -63. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 732685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 981, 1839, 2695, 3543, 4377?\n\"Answer: -u**3 + 5*u**2 + 850*u + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let d(m) be the third derivative of -m**6\/360 - 5*m**4\/12 - 11*m**2. Let i(b) be the second derivative of d(b). What is p(i(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.037 - 42. Let j = g - 0.457. What is j rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, 2*h - 110 = -5*g - 2*h. Let y = 0 - 4. Is y\/g - 70\/(-22) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661670?\nAnswer: 2, 3, 5, 37, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177955*w - 30 = -177952*w - 3*q, -10 = -3*w - 5*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - 3241?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -31272, -124775, -280606, -498759, -779228?\n\"Answer: q**3 - 31170*q**2 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(243)*3 + 1 - sqrt(243)) + 3)**2.\nAnswer: 108*sqrt(3) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (z + 39 - 39)*(-4*z**3 + 0*z**3 + 5*z**3) + (-18 - 1 - 1)*(-z**4 + z**4 + 2*z**4) in the form d*z**4 + n*z + o*z**3 + q*z**2 + m and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4098 + -4094. What is the closest to 10\/21 in y, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 7*m - 20. Is b(-7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188670000 to the nearest one million.\nAnswer: -189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Let p = 9 - b. Solve -27 = -5*x - 4*q, p*q - 18 = -4*x + 2*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttoowowtattottt. What is prob of sequence tw?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a year in months?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(3240) - -1*sqrt(3240)*4))\/((-2*(sqrt(256) + sqrt(16)) + sqrt(16))\/sqrt(2)*-3).\nAnswer: 25*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309478?\nAnswer: 2, 13, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -43*d + 45. Let z be y(1). Suppose z*w + i = -65525, 10*i = w + 12*i + 32770. What is w rounded to the nearest one thousand?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.96 + 28. Let d = 5.78083 + -5.741. Let b = h - d. What is b rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2489983 and 9304?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3352 and -3358 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*u = 92*u. Let v = u + 5581. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -380*m + 1556. Let h be c(4). Solve -4*v = -s - 15, -9 = -4*s - 5*v + h for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6dff - -2946?\nAnswer: 9745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 5952219.\nAnswer: 59522190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m - 7*m + 0*m + (0 - 1 + 0)*(-2*m - 2*m - m) + (37 + 3 - 210)*(2 + 3*m - 2).\nAnswer: -508*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*n - 265 = 0, -3*a + n + 140 = 6*n. Suppose 2*z = -c + 5, 0 = -4*z - 2*c - 2*c + 8. Factor 37*h + a*h + 4*h**z - 104*h - 8.\nAnswer: 4*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {o: 2, f: 10, m: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -658 - -1018. Suppose 12*n - f - 120 = 0. Suppose 0 = 2*m - 3*a - 25, -m - 2*m + 5*a = -n. Solve -m + 1 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tsvtvtst?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130999, 130969, 130939?\nAnswer: 130909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18138961471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056772?\nAnswer: 2, 167, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(1573) + -2))**2 + 1*sqrt(13) + -3.\nAnswer: -39*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4.7. Let o = -1.2 + i. Which is the third smallest value? (a) o (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u + 1. Let y(c) = 8*c + 149. Let p(i) = -10*b(i) + 2*y(i). Is p(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 5*r + 5. Let a be u(2). Put a, 13, 0, -2 in descending order.\nAnswer: 13, a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -539 + 556 - (4 - -41)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, i: 1, m: 4, y: 1, w: 4}. What is prob of picking 1 w and 1 y?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.4 + -0.6. Let a = -499 - -489.6. Let z = a - -8.4. What is the closest to 4 in 0.1, i, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11374179 and 384807?\nAnswer: 8949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165 = 5*o - 20*y, -2*o + o = 2*o + 589*y - 593*y - 59 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5846.43 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4 - (-63)\/(-14). Let j(i) = i**3 + 6*i**2 - 4*i - 6. What is the remainder when 50 is divided by j(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 37*c**2 - 2693. Determine m(28).\nAnswer: 4363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22427 + 348?\nAnswer: 22776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1552*l + 9601. Give p(6).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 118*x - 240*x - 4 - 434*x as y*x + z and give y.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5969563 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = r. Let o = r + -6. Is o\/6 - 70\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 145 - 143. Solve -r - 4*w = -20, 2*r + 3*w - 5 = b*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-3)*-1*(-58)\/(-145)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 5*q - 2. Calculate d(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11102233 (base 4) in base 5?\nAnswer: 1143204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16121 (base 11) to base 14\nAnswer: -8427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2 = -4. Calculate the remainder when 3 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = -7*j + 64. Solve l + 0*g + 10 = 5*g, -18 = 4*l + j*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27910 and -1781?\nAnswer: 49707710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 810\/4536*-2*2\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3244101 (base 6) to base 16\nAnswer: 27745","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/99 and 155\/50796?\nAnswer: 558756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 51788 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1423 and 1184 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + 0.039601967585?\nAnswer: 109.039601967585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -23b2?\nAnswer: 23b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -17263145, -5 in descending order.\nAnswer: -0.3, -5, -17263145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/98)\/(1206\/1407).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (11 + -11))\/((-336)\/(-111) - 3)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-1\/3)*b))\/b*b)\/(b*b*b**(2\/17))*b**(-1)*b**(-5) assuming b is positive.\nAnswer: b**(-482\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6159869665.\nAnswer: 5, 337, 3655709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 2\/(-12)*-6 + 1212 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27b (base 16) to base 15\nAnswer: -2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -38\/3, 0.1, 4, -0.4 in increasing order.\nAnswer: -38\/3, -0.4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9*1\/3*-1. Solve w*q + 5*r - 11 = 3*r, -3*r + 12 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/((-18)\/164043) + 4\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 2404.415 nanometers?\nAnswer: 2.404415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**6\/300 - 34*r**5\/75 + 487*r**4\/60 - 28*r**3 + 1229*r**2 + 2*r. What is z in x(z) = 0?\nAnswer: 1, 7, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let k(q) = -312*q. What is k(g(n))?\nAnswer: 624*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*y - 6645 + 1557 = 1410 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(4\/7)\/h**(-2\/5))**(-1\/32))**(2\/115) assuming h is positive.\nAnswer: h**(-17\/32200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - p + 0*p + (-10*p - 4*p - 6*p)*(-509 - 295 - 416) to f + j*p and give j.\nAnswer: 24402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686 (base 9) to base 12.\nAnswer: 3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -42?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.17, -0.1, 2\/5, 0, 1\/2, 7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiiiiiiiyjyiiojiiiiy. What is prob of picking 1 i and 3 j?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.2, 0.19, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 3*m**7\/35 - 7*m**4\/24 + 41*m**2. What is the second derivative of h(l) wrt l?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3024 and 666245664?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 5 + 7)*((-5*c + 2*c + 2*c)*(-424 - 18*c**2 + 424) + (-2*c + 3*c**2 + 2*c)*(-c + 5*c + c)).\nAnswer: -231*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 22657715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 16*j - 1. Let i(u) = 49*u + 2. Let p(k) = 3*d(k) - i(k). Calculate p(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 291375 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279560524.\nAnswer: 2, 69890131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 6*r**2 + 4*r + 16. Calculate the lowest common multiple of (-4)\/3*(-42)\/2 and t(6).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 224638*g**2*t - 21*g**2 + 9519*g with respect to t.\nAnswer: 224638*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 32 = -8. Let t be (-1 - 5) + 0\/p. Which is smaller: t or -40\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*a - 33, z + 9 = -4*a - 9. Let v be ((-203)\/14)\/((-1)\/z). Let f = 66 - v. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -17)*(0 + 2\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 737 - 191. Suppose 2*p - 2*v - 134 = 0, -5*p - 2*v + 426 = a. List the prime factors of p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 136*b - 23. Let w(y) = 138*y - 28. Determine 5*v(r) - 4*w(r).\nAnswer: 128*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2, 0.01471, 83, 2\/11?\nAnswer: 0.01471","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-1160)*29*-1*2\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbchbchhbzccccchcccc. What is prob of sequence bzb?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -918306044\/145 - -6333188. Let x = 214\/5 - q. Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/80 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**5 + 18020*k**4 - 90220*k**3 + 18150*k**2 + 378855*k - 324810 = 0.\nAnswer: -3609, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 10*r + 2. Let u = -8 - -5. Let k = 5 + u. What is the lowest common multiple of m(k) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -348*r**3 - 421*r**2 - 1466. What is the second derivative of m(k) wrt k?\nAnswer: -2088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, -21, 46, -1, 1 in decreasing order.\nAnswer: 46, 12, 1, -1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2880 + 2172. Do k and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 3*b - 402. What is the common denominator of (3 - b\/20)\/1 and -37\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (88\/10)\/(8\/220). Suppose 0 = -4*x - 18 + j. Let y be 1*((0 - -6) + 1). Calculate the highest common factor of y and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 17*y - 411. Suppose -y = -46*i + 31*i. What is the remainder when 14 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -61, 5, -5, 3.6 in ascending order.\nAnswer: -61, -5, -3, 0, 3.6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6870 times 667?\nAnswer: -4582290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 293 + -233. Find the first derivative of 2 - 973*r**2 + 899*r**2 + d wrt r.\nAnswer: -148*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 163, 32, -461, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 11 - 28 = 0. Let p = 1.6343 - -0.3657. Is p bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 3*u + 20*u**2 - 9*u + 54*u**2.\nAnswer: 74*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + -40 + -30 + 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 13. Let r(d) = -10*d**2 + 2*d - 3. Let s be r(2). Let k be -1 + 1 + (-13)\/s. What is the second biggest value in k, i, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 + 18*a**2 + 32*a + 14. List the prime factors of d(-7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42*l*s**2 - l*s + 212*l - s with respect to s.\nAnswer: 84*l*s - l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138856826.\nAnswer: 2, 19, 167, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -16555569332?\nAnswer: 16555569333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 279*z + 11250. Let d be v(-35). What is the greatest common factor of d and 1890?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 208\/(-12)*(-45)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3038 and 14105.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 27\/36 - 1074\/(-8). Let h = k + -93. Suppose 0 = -7*d - 7 + h. Solve q = d*o + 5, -3*q - 11 - 8 = 2*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f - 3 + f**2 - 17*f + 0 - 4. Let a be v(13). Let n(r) = -r**3 + 6*r**2 + r + 3. Determine n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 2 m when four letters picked without replacement from {f: 6, m: 3, z: 3, n: 2, d: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 - 34. Let u = -23 - -22. Let a be (-1 - u)\/(-7 - -4). Which is smaller: n or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5470 = -66*t + 1466660. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n + 195 = 0, 5*m - 2 - 5 = 4*n - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 974933053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g**2 - 11*g - 20. Let a(d) = 5*d**2 - 4*d - 7. What is -8*a(c) + 3*j(c)?\nAnswer: 2*c**2 - c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -9*f**4\/22 - 14*f**3\/11 - 16*f**2\/11 - 8*f\/11 - 8. Factor n(c).\nAnswer: -2*(c + 1)*(3*c + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/5, -3, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4440 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15556? (a) -1\/3 (b) 28 (c) 1 (d) -4\/7 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 240379739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 288 + 172. Calculate the highest common divisor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14858974 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 290771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 1\/4, -6.37, 0.4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 7. Let t be (c + 4)*8\/12. Sort -1, t, 5 in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77614*w + 77669*w = 1100 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 59, 38, -5 in ascending order.\nAnswer: -5, 38, 59, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 9) to base 7.\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/385 and -31\/4670105.\nAnswer: 32690735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 33. Let b(d) be the second derivative of 0*d**4 + 0*d**2 - 1\/24*d**3 + 4*d + a + 1\/80*d**5. Solve b(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 30*q**4 - 115*q**3 + 65*q**2 + 35*q - 15 = 0.\nAnswer: -1\/2, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1809*n - 63122. What is a(37)?\nAnswer: 3811","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of 7*i**5\/30 + 23*i**2 + 3*i. Let v(t) = -13*t**2. Calculate f(v(u)).\nAnswer: 2366*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7490)\/210)\/((-100)\/(-3)) and -17\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27479008*p**3 - p + 90688048.\nAnswer: -82437024*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/5 - 7\/10. Which is smaller: -2\/13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2015*i - 29501 + 156446 = 0 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**3 + 2*r**3 - r**3)*(2 + 21 - 7)*(-2 + 0 + 0) to the form v + q*r + x*r**3 + h*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/707 and -52\/24341.\nAnswer: 170387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2 = w. Let p be (-2 + w)\/(-1 - 1). Suppose 5*s + p*s = 25. Solve s*z - 1 = -2*a, -5*z = -5*a - 7 - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528417905 divided by 305683581?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z + 47. Let f be v(13). Let n(p) = -3*p**2 - 4*p + 6. Let d(m) = -4*m**2 - 5*m + 7. Give f*n(j) + 4*d(j).\nAnswer: -j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 51*x**2 + 509*x - 5. Let z be n(-10). Which is the third smallest value? (a) 2 (b) z (c) -4 (d) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 260328787 + 0.466.\nAnswer: 260328787.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236*f*n**2*r**3 - f*r**2 - n*r**3 + 26*n*r**2 wrt n?\nAnswer: 472*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -408*j + 112014. Determine z(274).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -353436 and -0.059686?\nAnswer: 353435.940314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -188, -4267, -12212, -24017, -39676, -59183, -82532, -109717?\n\"Answer: s**3 - 1939*s**2 + 1731*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(12)*2)\/sqrt(4) + 0.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/288 and -151\/396?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8592.17 and -377.808.\nAnswer: -8969.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*j + 39*j - 65. Let r(h) = -h**2 + 13*h - 3. Give r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.01 - -1.59. Let j = a + -2. Let p = -0.3999996 - j. Round p to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34\/8*1)\/((117\/(-12))\/39)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3 + 16*o**2 + 32*o - 256 = 0.\nAnswer: -4, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 209 - 17. Let m = y + -91. Let f(r) = -4*r**3 + r**2 - 5*r + r - m - 5*r. Let v(z) = -10*z**3 + 2*z**2 - 22*z - 12. Calculate -12*f(n) + 5*v(n).\nAnswer: -2*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -118*w**5 + 2*w**2 - 2*w - 71?\nAnswer: -2360*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - j**2 - j + 12. What is n(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1894157171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/8970*13*9\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1192 = -4*j - 2*c, 293 = 3*j - 2*j - 2*c. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 3*l**2 + 6*l**2)*(-2 - l**2 + 2) - l**4 + 5*l**4 - 2*l**4 + l**4 - 2*l**2 + 2*l**2 - 47*l + 104*l - 13*l**4 - 55*l.\nAnswer: -11*l**4 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l + 7*l - 5 + 4*l. Let d be m(7). Suppose d*n - 189 = 2365. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11.775 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11765135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*c - 6*c + 17*c + 66*c**4 wrt c?\nAnswer: 792*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151483356?\nAnswer: 2, 3, 29, 41, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(80) + 1 + sqrt(80) + 3)**2.\nAnswer: 64*sqrt(5) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145980084?\nAnswer: 2, 3, 29, 419483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 27, 2, -4, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141111798.\nAnswer: 2, 3, 17, 1383449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*c - 20, -m - 4 = 3*c + 2*c. Suppose -7*d + m = -4*d. Solve -5*o + d = 4*n + 5, 5*o = 3*n - 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 + 44*m**2 + 54*m - 188. Let l be c(23). Let f(h) = -9*h + 5. Determine f(l).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 - 1)*(-393)\/(-888). Let g = z + 18\/37. Calculate the common denominator of 6\/(-16) + 7\/(-28) and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l + 8800 = 33*l - 11*l. Let u be 1\/(-2) - (-132)\/8. What is the highest common factor of u and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1114036 + 33?\nAnswer: 1114102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -8. Suppose -l*m = -3*j - 33, -3*m + 81 = 2*j + 33. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, l: 5, k: 3}. What is prob of picking 2 k and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.219 and -0.5.\nAnswer: -0.1095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137580919?\nAnswer: 7, 19, 1034443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-3))\/(2\/6). Suppose 15 = 5*k + 5. Let z = k - -2. Solve 28 = -4*c - 4*d, 19 = -3*c - u*d - z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 - (-1)\/(-21). Is t greater than or equal to -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/4 + 0). Let m(q) = -q**3 - 7*q**2 + q + 12. Let o be m(-7). Suppose u*k = 3*k + o. What is the greatest common divisor of k and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131536960 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*o**2 + 23 - 23)*(493*o**2 - 595*o**2 + 34*o - 636*o**2 - 34*o).\nAnswer: 10332*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(2\/5)*u)*u)**(-2\/19)*(u*u\/(((u\/u**(2\/7))\/u)\/u))**(-22))**(-11) assuming u is positive.\nAnswer: u**(529232\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*(1*sqrt(152) - sqrt(152)))\/(sqrt(8) + -1*sqrt(512) + -1*(sqrt(8) + (sqrt(8)*1 - sqrt(8)) + sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*c + 3 - 3 - 2*c**3 - 16*c.\nAnswer: -2*c**3 + 106*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3*g - 15 = 0, 1 = 3*i + 2*g - 13 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14.6 (b) -4\/7 (c) 1123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2800580, 2800574, 2800568?\n\"Answer: -6*l + 2800586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 + 0 + 0 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(99) - sqrt(99))\/sqrt(3))\/sqrt(11) + -5 + 0 + 5)*-5.\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 13) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1377*u - 1543*u + 6806 = 0 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 3022832?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 54750*a**2 + 1966140*a + 17680680.\nAnswer: 5*(a + 18)**2*(a + 10914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92648867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -49.2. Let s = -0.2 - h. Put -4, s, -1.6 in ascending order.\nAnswer: -4, -1.6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 920693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*x**3 + 5*b**3*x**2 - 24*b**3*x + 2*x**5 - 18*x**3 wrt x.\nAnswer: -12*b**3 + 120*x**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*t**3 + 138*t**3 - 371*t**3 + 233*t**3)*(-2 + 0 + 0 + 4 - 4 - 5 + (-3 + 2 + 3)*(0 + 0 - 1)).\nAnswer: -1287*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02051 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*c**2 - 50*c**2 - 21*c + 2584 - 2674 = 0. What is c?\nAnswer: -15, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by (5 - 3)*34\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (101 + -18) - (-8 - (-6 + -8))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 72.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5. Let b be -6*4\/(4\/w). Let k be 26\/(-8) - b\/(-2). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/(-2695)*-742)\/((-18)\/99).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*v = -11, 4*v = 5*v + 5. Let n be ((-4)\/(48\/b))\/(-3). What is the nearest to 1\/6 in n, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wccwckoiwckyccwccoi. Give prob of sequence oo.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + -1 + (-3 - -3). Let c be ((-2)\/s)\/(7\/56). Suppose -10 = -2*n - c. Sort -3, n, -9, 0.\nAnswer: -9, -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((150\/18)\/5)\/((-24)\/(-18)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/5 (b) 0.5 (c) 0.4 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 48 = 5*u. Let w be (-14 - 1)*(-2)\/u. What is the biggest value in 0.1, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 14 - 44 = 0. Calculate the least common multiple of 5 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**2 + 351*n + 348 = 0?\nAnswer: -116, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 divided by -204?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7\/13205 + 491083\/45108280. Find the common denominator of i and -87\/20.\nAnswer: 17080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = -1. Let u(g) = g**3 - g**2 - 5*g + 4. Calculate the remainder when 20 is divided by u(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*-7429372\nAnswer: 89152464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -2. Let v(c) = c**3 - 11*c**2 + c - 9. Let l be v(11). Calculate the least common multiple of 5 + (1 - l)*t and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1669926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 8898.85\nAnswer: -889.885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:04 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1115 is divided by 219?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57261401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 1212102121111210?\nAnswer: 1212102121111212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*n - 251*n - n**2 - 328*n + 146*n - 490*n to o + r*n + s*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.075 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 less than -343402332468?\nAnswer: -343402332499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 74761*p + p**2 - 37382*p + p**3 - 37378*p - 40 + (0*p**2 - 2*p**2 + 0*p**2)*(-6*p + 2*p + 3*p) - p**3 + 2*p**3 - 2*p**3.\nAnswer: 2*p**3 + p**2 + p - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2494 by 2.\nAnswer: 1247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v - 8 - v**3 - 2 + 13*v**2 - 21*v**2. Let n be ((-39)\/(-6))\/(4 + (-14)\/4). Suppose 0 = -5*g + f - 11 - 28, -5*f + n = g. What is k(g)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10222122220220 (base 3) to base 6.\nAnswer: 113230510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14609583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f - 19. Let h be d(9). Let m be 0*(-6 + 4 - h). Solve 3*c + 2*c + 20 = m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.272 (b) 4 (c) 0 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 524690487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/14 or -1\/5?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = 27*v + 16 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 128.1 - 119. Let p = -9.0953 + u. What is p rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1435*f*r**2*u**3 - 16*f*r**2*u + 3*f*r*u**2 + 3*r**2*u**2 wrt u.\nAnswer: -8610*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4171)\/291 - (-4)\/3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79\/(-10) + (-17 - (-338)\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**4 + 0*g**2 - 11 + 11\/3*g**3 + 0*g. Find the third derivative of z(o) wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355*p - 1599880 = 167*p. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13620431 and 13620431.\nAnswer: 13620431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5026\/(-6) + (-21)\/9. Let p = m + 841. Solve w - 4*y = 19, -3*w + 2*w - p = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9020718581.\nAnswer: 7, 1288674083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 - 206 + 206 - 9*l**3 - 9*l.\nAnswer: -9*l**3 - 4*l**2 - 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 11 + 2 + -41 + (4 - -31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/7 - 40014*c\/7 = 0.\nAnswer: 0, 40014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69505789 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*c - 37 = 0, -167 = -5*w + c - 3*c. Let b = -63 - -40. Let j = b + w. What is the smallest common multiple of j and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1137380.\nAnswer: 2, 5, 29, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448 divided by -4?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 85747.347 milliseconds?\nAnswer: 0.0238187075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 783172018 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: In base 7, what is 10 + -365?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggbggggsbbmsgggb. Give prob of sequence bsg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449 a factor of 631210482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)\/(p\/((p**11*p)\/p)) assuming p is positive.\nAnswer: p**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 14. Let v be f(-14). Suppose 2*d - 30 = -3*d. What is the highest common factor of d and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 33*y + 466. Determine w(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -62760 divided by 6\nAnswer: -10460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*u - 34*u = 3*s - 3, 0 = s - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33631594 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + g - 121, 8*g - 6*g + 6 = 0. Suppose -36*x + u*x + 18555 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**3 - 2345 + 2345 + 7*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*k - 40*k + 110*k - 33*k + 12045*k**2.\nAnswer: 12045*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 120 = 5*b. Let h(y) = -4*y + 28. Let o be h(b). Let g be (-18)\/(-8) - o\/(-64)*4. Solve -g*r - 20 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2\/5 + 16758*q\/5 + 23402547\/5 = 0. Calculate q.\nAnswer: -2793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2963546.769 from 17.16.\nAnswer: -2963529.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:30 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -157, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 72 or 506\/7?\nAnswer: 506\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 1\/3*c**3 - 1\/2*c**2 + 2 + 0*c. Let y be d(-1). Solve w + 12 = -y*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**3\/2 + 1299445*q**2\/2 + 84440208775*q\/2 + 1603894901375\/2 = 0. What is q?\nAnswer: -129935, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0656 in 2\/9, -3\/2, 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 4*i - 2*i)*((6*i + i - 8*i)*(-4 + 4 - 2) + 2*i + 0*i + 0*i).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -10*o + 480. Suppose 8 = -y + o. Does 28 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 217429\/33 - 6591. Let q = s - -32\/11. What is the second smallest value in q, 1\/12, -1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 (base 7) in base 12?\nAnswer: 32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-6))\/((-9)\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*l**3*p*x + l**3*p + 4*l**2*x - 2*l*p*x + 107*l*x - 3 wrt l?\nAnswer: -174*l*p*x + 6*l*p + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 1\/2, 0.1 in decreasing order.\nAnswer: 2, 1\/2, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -114*x + 79. Is h(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-814)\/308)\/(4\/6*51\/(-476))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from {m: 6, z: 7, b: 2}.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:15 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2. Let b(a) = -23*a - 10 - 2 - 20 - 61*a. Let i(u) = 13*u + 5. Let v(q) = 5*b(q) + 32*i(q). Give v(d(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*o - 0*o - 30, 0 = 2*p. Let l = o - -49\/3. Factor 2*b**2 + l*b**3 + 1\/3 + 1\/3*b**4 + 4\/3*b.\nAnswer: (b + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2*z**2 + 14*z - 3 - 12*z.\nAnswer: -2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/161 (b) -0.1 (c) 44 (d) 3 (e) 2 (f) 3\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*a + 2*y - 10, 0 = 4*a + 5*y - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i**2 - 79*i + 384. Let y(j) = 57*j**2 + 630*j - 3069. Let s(n) = 33*p(n) + 4*y(n). Solve s(v) = 0 for v.\nAnswer: -33, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 + 8*h**3 - 118*h**4 - 6*h**3 + 2638*h**4 - 3246*h**2 + 16*h**4 wrt h?\nAnswer: 60864*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.97613 - -323008.\nAnswer: 322973.02387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 416688168 to the power of 1\/2, to the nearest integer?\nAnswer: 20413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 145993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 109846 - 78147. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -413, 450888 in decreasing order.\nAnswer: 450888, -1, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(112)*-1 - sqrt(112).\nAnswer: 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266 and 439470?\nAnswer: 3076290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3 - 3*p + 1)*(5 - 1 + 11).\nAnswer: -15*p - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/16)\/(15\/300 - 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*sqrt(405)*2 - sqrt(405) - sqrt(405) - (4*-1*sqrt(405) + sqrt(405) + sqrt(405)))\/(((sqrt(216)*1)\/sqrt(6) + sqrt(36))\/sqrt(4)) + 2.\nAnswer: -6*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -856, -1719, -2586, -3457, -4332?\n\"Answer: -2*a**2 - 857*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480496166 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 l(d) = -8*d - 197. What is l(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 10. Suppose 44 = 2*i - 4*g, 3*g - 8*g + 35 = 5*i. Suppose i*k + 297 = 39*k. Calculate the smallest common multiple of t and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (44 - 55 - 27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-15)\/b**(-3\/2) assuming b is positive.\nAnswer: b**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 5. Calculate x(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 5*a - 7. Let v(l) = l**2 - l + 1. Let x(z) = -d(z) - 2*v(z). Is 2 a factor of x(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 2*j - 9. Let z(r) = -40*r**2 + 386*r - 30. Let a(d) = -76*t(d) + 2*z(d). Find h, given that a(h) = 0.\nAnswer: -1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 745252?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -322, 0.113622, -4?\nAnswer: 0.113622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9, -38, -117, -228, -371, -546, -753?\n\"Answer: -16*l**2 + l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) -1 (c) -2\/7 (d) -3\/8 (e) 1\/5 (f) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -223080786 divided by -6\nAnswer: 37180131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {x: 2, u: 2, b: 4, q: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j + 2. Let q = 515 - 511. Let h(g) be the third derivative of -g**5\/30 + g**4\/24 - g**3\/3 - g**2 + 22*g. Calculate q*t(v) + 3*h(v).\nAnswer: -2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**4 - 10*r**3 - 4*r - 4. Let s(q) = q**4 - q**2 + q + 1. Let w(k) = -a(k) - 4*s(k). Factor w(n).\nAnswer: 2*n**2*(n + 1)*(3*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 244. Calculate the remainder when a is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16209 or 859056\/53?\nAnswer: 859056\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.8. Let u = -28780.5 + 28781. Which is the closest to p? (a) -2 (b) 0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15870 - ((-150)\/(-10) + -8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1254 = -4*t + 2*m, m - 476 = 5*t - 2039. Suppose t = -7*x + 13*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 7, u: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:18 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 224.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 71*g + 5 + 3 - 2 = -74*g, -g + 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 9:39 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84427517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -14. Determine l, given that 5 - 5 - 2*l**z - 2*l**2 + 4*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**4 + 125*f**2 - 1262. Let x(m) = 3*m**4 - 2*m**3 + 125*m**2 - 1261. Let b(p) = 4*q(p) - 3*x(p). What is the derivative of b(t) wrt t?\nAnswer: -4*t**3 + 18*t**2 + 250*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/20 + (-9)\/(-12). Solve -r = 2*d - d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 5*b + 30, -4*h - 3*b + 7 + 18 = 0. Suppose 4*o - 71 + h = 0. 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 42\/5 of a millisecond in microseconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r + 3. Suppose 4*p - 8 = -24, -3*x = 4*p + 22. Let o be u(x). Let f = o + 19. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 22*r**2 + 552*r - 31. Calculate v(15).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 283609 + y + 567242 - 283633 - 12*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 13994.\nAnswer: -1\/13994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z, 3*l + 5*z + 19 = 52. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3838640.6 plus -0.3?\nAnswer: -3838640.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -2 - (-30)\/(-2). Let a = m - -15. Let t(i) = -40*i + 20*i - 6*i**a + 21*i. Let l(o) = -o**2. Calculate -4*l(s) + t(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2487\/1662 + 6\/(-4). Let n = 1657\/1385 - c. Let l = -4163\/148 - -162\/37. Find the common denominator of n and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41276 and 1821?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23968 and -9908.\nAnswer: -33876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.36571798 - -0.0410916.\nAnswer: 1.40680958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*c - 64454 - 269621, -c = -3. Let l = f + -3834060. Round l to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v**2. Let y be (56\/16)\/(1\/(-2))*1. Let z = y + 7. Let o(j) = 3*j + z - 12 + 12. Calculate u(o(a)).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -563330 or -563334?\nAnswer: -563330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.02 + -0.02. What is the nearest to -0.1 in o, 11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2198 is divided by 1672.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 4*p - 4. Suppose 0 = -3*f - 10 + 19. Let t(u) = -u**2 - 3*u + 3. Let o(d) = f*w(d) + 4*t(d). Let b(k) = 2*k. Give o(b(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.3. Let t = 6 + -5.6. Let r = t - j. Which is the biggest value? (a) 3 (b) -3\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203185 is divided by 67.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 26. Let d be z(6). Suppose v = -d + 16. Solve 0*f - 2*f - 9 = y, -v*y = 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 22*a**3 + a**2 - 5*a - 2. Let m be d(3). Suppose 2*b + m = 4*b. Suppose -3*c - 92 + b = 0. What are the prime factors of c?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + 21. Let j = 145 - q. Let l = j - 32. Calculate the greatest common factor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 6612696*m + 68*m**2 + 6612696*m as c*m**2 + w*m + k and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -152*g**3 + 2*g**2 + 3*g - 2. Let z be r(2). Let o = z + 1716. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 21*u**2 + 17*u - 17. Let m(z) = -7*z**2 + 104*z - 56*z + 6 - 54*z. Calculate 17*m(l) + 6*r(l).\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2 - 4 = 3*t, -229*t + 233*t + 10*b + 8 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2738 + 4312 = -6*p. Let h = p + 11729\/10. Calculate the common denominator of h and -133\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -16.44. Let v = p + 0.56000057. What is v rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 7. Let j(l) = l - 10. Give 7*a(k) + 5*j(k).\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280 times -0.02?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 y when three letters picked without replacement from xxynxnwnvxynxsnn.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.451 + -0.461. Which is the closest to 1? (a) 4 (b) s (c) 0 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(15\/(-30)). Solve -w = -5*y - 21 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0457 and 1.\nAnswer: 0.0457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4174015838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498539*t = 498571*t + 1920 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0 (c) 0.072 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11))*-6)**2*2 - (1*(sqrt(11) + (sqrt(11) + (sqrt(77)\/sqrt(7))**2 - sqrt(11))) + 2).\nAnswer: -145*sqrt(11) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from ddjrhrrrj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 13*k**2 + 44*k - 7630. Determine m(-26).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -267 divided by 11?\nAnswer: -267\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -404616990 or -404616988?\nAnswer: -404616990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 - 2. Let r(i) = -313*i**3 - 2*i**2 + 321*i + 8. Let s(o) = 4*q(o) + r(o). What is the third derivative of s(a) wrt a?\nAnswer: -1854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -7*o**5\/20 - o**4\/4 + o**3\/2 - 2*o**2 - 2*o + 1. Let i(c) be the first derivative of a(c). Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78884*s**6 - 22*s**2 + 109*s - 2 wrt s.\nAnswer: 9466080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -44158*j + 1854634. Determine s(42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -18. Let n(z) = z + 1. Let s be n(j). Let u be (-6)\/s - 46\/(-8). What is the greatest common factor of 10 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-15) - (-678)\/220 - 418\/2299.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 13*n**2 + 12*n. Suppose f + 84 = 8*f. Let h be i(f). Suppose 4*t - 57 - 123 = h. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(15*(-81)\/(-192)) - 4\/(-10)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((5*(sqrt(102) + sqrt(102)*-1 + sqrt(102))*5)\/(-3*sqrt(480)\/sqrt(5)) + 0)**2.\nAnswer: 10481\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppc when three letters picked without replacement from {r: 2, p: 5, c: 1, u: 4, l: 3, n: 5}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158601588 divided by 38.\nAnswer: -4173726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -29*k**2 - 17*k + 212. Let s(p) = -15*p**2 - 8*p + 105. Determine -17*s(w) + 8*z(w).\nAnswer: 23*w**2 - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = -32 - 33. Let t be 6 - 168\/35 - 4\/a. What is the third smallest value in -4, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((210\/(-80))\/(-7))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 15*l + 458. Determine u(16).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 80, 92, 88, 62?\n\"Answer: -p**3 + p**2 + 26*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(143) + (1*sqrt(143) - sqrt(143))) + (-1*sqrt(143) + sqrt(143))*1)*-6)\/(3*sqrt(99) + (sqrt(88)*-3)\/sqrt(8)) + 4.\nAnswer: 4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {l: 1, c: 6, n: 2, r: 3, a: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16298.35 years?\nAnswer: 162.9835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*p + 1 = 0, 13*w = 70*w - p - 44 - 132 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1497 and 61998.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41171 + 5?\nAnswer: 41176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 3 + 0 + 11 - 3*o to r*o + m and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1152 + 1152.49. Let t = -3.9225272 - -3.43253. Let f = v + t. Round f to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, 6908 in decreasing order.\nAnswer: 6908, 4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 8. Let o = 0.04923 - -2.95077. What is the second smallest value in u, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2681021387?\nAnswer: 11, 243729217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**3 - 7881206*s**2 - 4015245*s wrt s?\nAnswer: -6*s - 15762412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -4. Solve 0 = -l*h + 2*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-159)\/(-7) + 3 - (-2)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tg when two letters picked without replacement from sgsgggggtagsgggagsg.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-15))**15 assuming q is positive.\nAnswer: q**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1079\/(-332) - 1*2\/(-8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**5\/330 + 5*d**4\/44 - 26*d**2 + 4*d. Factor r(v).\nAnswer: 2*v*(v + 15)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*w - 1536 = 0, 4*w - 2*w + 770 = 2*i. Let p = i + -58. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 + 6*f - 3. Let z be y(-5). Find the common denominator of (2 - 93\/z)\/((-9)\/(-249)) and 115\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -155406 - 4?\nAnswer: -155413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2122794 and 183654.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 4. Let c be j(-3). Solve t + 3 = -c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 254958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (396\/(-264))\/(6\/(-859244)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w + 1. Let r(g) = -6*g**2 - 7*g - 5. Let l(o) = -5*c(o) - r(o). Let y be l(-3). Let a = 10 - 4. Solve y*j = a*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Let u = -101 - -105. Suppose -3*r = p*r + u*x + 18, 4*x = 4*r. Does r = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r - 109. Suppose -149*f - 3009 + 726 = 3081. Determine j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*-5*((sqrt(3744)*-3)\/((6*sqrt(20) + sqrt(20))\/sqrt(10)))**2.\nAnswer: 336960\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 21. Let n be (34\/3)\/(10\/z). Let o = n - -14. Sort -5, -4, o.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 50*b + 9. Let z be ((-27)\/(-18))\/(6\/4). Is l(z) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c - 90 = 0. Let g = -165 - -291. Suppose 65*a - g = 64*a. What is the greatest common factor of a and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 55\/6 (b) -0.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2 + 5*t**2 - 2 - 1 - 2 + 2*t. Let h(f) be the first derivative of 2*f**3 + f**2 - 8*f + 1. Let w(l) = -4*d(l) + 3*h(l). What is x in w(x) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(11\/5)*v)\/v**9)**(-5\/2))**(4\/7))**(-25) assuming v is positive.\nAnswer: v**(-1450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 = -13. Let w be (0 - 0) + g\/14. Let k be (6\/10)\/(5\/(-5)). Which is the third smallest value? (a) w (b) -1\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 3. What is the remainder when 13 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of o**4\/24 + o**3 + 7*o**2. Let c be j(-4). Solve 4*t - 4 = -3*h, -3 = h - c*h - 3*t for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0124766 to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.68.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 2, c: 1, q: 1, m: 2}. Give prob of sequence cmq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 139 and -33657?\nAnswer: 33796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09625 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 71*k + 2. Is m(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 274 = -g, -4*s = -5*s + g + 94. Suppose -s = -9*o + 4*o. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/84)\/(12*2\/64).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14250, 14248, 14236, 14208, 14158, 14080, 13968?\n\"Answer: -m**3 + m**2 + 2*m + 14248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j + 20. Let y be f(-6). Let u(l) = l**3 + 3*l**2 - 4*l + 1. What is the lowest common multiple of u(y) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1377.9 - -1373.9. Sort -0.4, j, 7, 2\/3, 4.\nAnswer: j, -0.4, 2\/3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255.95 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 3*g**3 - 2*g**3 + (57 - 2 + 38)*(-g**3 + 2*g**3 + 0*g**3) as m*g**3 + p + b*g + s*g**2 and give m.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-8 + 0 + 3)*(2*y + 3*y - 4*y)*(-2 + 2 + y).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3804)\/(-9)*((-585)\/(-10))\/3 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-10)\/(-8))\/5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1133)\/500 + 1420\/88750.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5\/6)*m)\/(m\/(m*m**(-3)*m)*m*m*m))\/(m*m**(-33))**(-24\/7) assuming m is positive.\nAnswer: m**(-4811\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11 - (-15 - -26))\/(-1). Let q(a) = -7 - 8 - a**2 - a + 2*a + 0*a**3 + a**3. Give q(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.39 (b) -0.4 (c) 1 (d) -1 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 0.4, -186, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + b. Let f be u(0). Let h(x) = x**2 + 3*x**3 + f*x**3 + x**3 - 3*x**3. Let c(s) = s**3 + 3*s**2 + s + 3. Let k be c(-3). Give h(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41 - -44. Suppose 4*a = -v + 34, -4*v + 2*v + f*a = -13. Calculate the greatest common factor of v and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Let m be v(-3). Let k be 57\/(-105) + 2\/5. Let d = -3.1 + 3. What is the third smallest value in m, d, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 12. Let z = n - -3. Suppose -z*m + 38 = 2*q, -4*m - 35 = 5*q - 131. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/1)\/(11\/(-44)*8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 0.3, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16839050 divided by -5?\nAnswer: -3367810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -45 (c) -5 (d) -1\/5 (e) -7.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-222 - -220) + 7 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -55*a + 355. Let w be c(6). Solve 3*l - x + 5 = 8*l, 3*l + 5*x - w = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 805 + -793. Solve 19*d - 4 = 23*d, -u = -4*q + 4*d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 13 + 28 + (-259)\/15.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 5, -2.6 in descending order.\nAnswer: 5, -0.07, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (3 + -8 + (-5 - -9) - 8).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 14423543?\nAnswer: 14423535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.318176 plus 0.5?\nAnswer: 0.818176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7099833883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w + 16. Let l(j) = 4*j - 7. Let y(f) = -14*l(f) - 6*m(f). Calculate y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35665 is divided by 223.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 8:34 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaavsaaaaaaaaaa. Give prob of picking 1 v and 2 a.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4e (base 15) to base 3.\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/120 - z**4\/24 - z**3\/4 - 5*z**2\/12 + 12*z - 1. Suppose g(l) = 0. Calculate l.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-2)*(-4)\/(-4). Let f be 66\/126 + v\/(-6). Let n = 26 + -26. What is the closest to f in -0.2, n, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3638 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 2*x**3 + 0*x**3 - 23*x**2 + 0*x**3.\nAnswer: -2*x**3 - 23*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59*o + 54*o - 68*o)*(3 - 2 + 0) to i + q*o and give q.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 190 + -88 - (60 - 12)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6751 is divided by 337?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**4\/24 - 2*l**3 - 28*l**2. Determine o(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16005 by -5335.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-105)\/(-546)*2\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/264 and -191\/6270.\nAnswer: 25080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 989*q + 2714. Is o(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-16)\/164*(-115)\/(-230). Suppose -v + 24 = 4*v + 3*r, -4*v + 27 = 5*r. Let j be (-2)\/v*-1*-3. What is the biggest value in j, -0.2, u, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 15. Let b be -5 + 7 - (71 - (-1 - k)). Let n = -64 - b. Solve 0 = -0*t - n*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*s**4 + 97*k*s + 2*k + 3687650*s**4 - 3*s - 3596 wrt s?\nAnswer: 24*k*s**2 + 44251800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13746526*q**3 + q**2 + 2290*q - 5681 wrt q.\nAnswer: -82479156*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*b = 4*l + 18, -5*l - 26 = 2*b. Let t be ((-21)\/l)\/((-2)\/8). Let q = t + 21. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3135027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45465 = 693*f + 16905 for f.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -246567, -493123, -739679, -986235?\n\"Answer: -246556*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 1869300?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*a**2 + 1 + 0 - 2 + 23*a**2 to s + f*a + y*a**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 427, 804, 1367, 2182, 3315, 4832?\nAnswer: 6799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4 - 2*g**3 + 5*g**2 + 6*g = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -377.8 + 377.8. What is the biggest value in z, -4, -11, -0.06?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4*m - 172. Suppose -427 = -21*v + 476. Let c be r(v). Solve c*i - 2 = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-110)*-9*((-51)\/(-68))\/((-189)\/(-784))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 864 and 216.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/10402 and -17\/1519.\nAnswer: 2257234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7559, -22393, -47135, -81785, -126343, -180809, -245183?\n\"Answer: -4954*c**2 + 28*c - 2633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert a7b (base 14) to base 11.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*(sqrt(75) + -1 + 3) - (-1*(sqrt(75) + -3) + 4*(-4*sqrt(75))**2).\nAnswer: -4813 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*v, 3*d - 2*v - 1074 = v. Is d a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, -7.\nAnswer: -9, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -5*v**3 - 3*v**2 - 2*v - 2. Suppose -2 = 3*z + 16*d - 11*d, 0 = -4*z - d - 14. Let q(x) = 5*x**3 + 4*x**2 + 2*x + 2. Give z*u(i) - 3*q(i).\nAnswer: 5*i**3 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4555 divided by -5\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(-5))\/(d\/((d\/d**(2\/59))\/d)))**47)**46)**13 assuming d is positive.\nAnswer: d**(-8347482\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/21 and 31\/99.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 39*a - 9. Let r(t) = 1. Determine j(y) + 9*r(y).\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 5*d - 25, 0 = -197*h + 201*h + 5*d - 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14.3 - -22.7. Let v = f + -8.5. Which is the closest to 2? (a) 0 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 915*u - 23897 + 8407 = 11045 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 876075 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87.929 + -88. Round z to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 7 (c) 0 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70812 and 892?\nAnswer: 15791076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-6 - 1) - (1 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23.9 + 25. Let u = 94487 + -94488. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -6*(-2 + sqrt(500) + -3 - (-5 + (-1*sqrt(500))**2)).\nAnswer: -60*sqrt(5) + 2997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.4 + 2. Let i = -65.7 + 67. Let d = 3.6 - -0.4. Which is the nearest to i? (a) t (b) -5\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 51, 40, 27, 12?\n\"Answer: -l**2 - 6*l + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 greater than 106?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g. Let f(v) = -12*v. Determine s(f(c)).\nAnswer: -144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.109 - -0.118. Let q = 0.121 + j. Are 1 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5 = -4*w - 14, 5*w = 3*q - 24 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-34 + 19 - (-6 + 2))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2644367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321496 is divided by 408?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 20 = 3*n, -5*r = 3*n + 15. Let o = -8 - 0. Let q be ((-4)\/o)\/(2 - 0). Which is greater: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-2 - (-1017)\/3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8462946 meters in nanometers?\nAnswer: 846294600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9649030 by 34.\nAnswer: -283795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = -3093 + 3029 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 144411.4 to the nearest 100.\nAnswer: 144400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s**4 - 205*s**3 - 205*s**2 + 205*s + 225 = 0.\nAnswer: -9, -5\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + -3 + ((sqrt(9072) + -2)*-3 - (-6*(0 + sqrt(9072) - sqrt(9072)))**2).\nAnswer: -108*sqrt(7) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let d be r(-4). Let x(k) = -3 + 3*k**2 + 4 + k - 4*k + 2. Let y(q) = 7*q**2 - 6*q + 7. Let i(l) = d*y(l) + 9*x(l). What is i(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*t - 2*a + 32, 2*a = 4*t + 28. Let l be (-2)\/(-4)*t\/(-16). Put -4, 4, l in descending order.\nAnswer: 4, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -51*p + 56*p - 3*r, 4*p + 5*r = 69 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -172 by -2887367.\nAnswer: 172\/2887367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34812 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 16, 1.\nAnswer: -5, 1, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -27 - -10) + (-9 + 3 - -2 - -6)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1404 - 1379 = 5*u - 4*l, 5 = u + l. Suppose 2*b = -2*b + 32. Solve u*o = 7 + b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (3 + -1 - (26 + -25))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15018)\/18*-15 + 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwzzwzzwzwwwzz. What is prob of sequence wzw?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150*x - 3 - 247 = 50. Solve 2*y - x*q = 4, 0*q + 5*q + 7 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - z = -568, 38*t - 33*t - 1430 = -5*z. What is the second biggest value in t, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(26\/(-1391)) - 4\/(-1). What is the greatest common factor of 1221 and o?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 415a + 6?\nAnswer: 4165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = 11 - 191 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h - 6. Determine x(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) -1\/14 (b) 21 (c) 0 (d) 1\/21 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let j be 6\/(-21) - 88\/(-14). Let t be (j\/(-4) + 1)*m. Which is the third biggest value? (a) t (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 3*-1) + -1. Let f(h) = -h**3 - h + 4. Let d be f(j). Let o(z) be the second derivative of z**4\/12 - z**3 + z**2 - 24*z. Give o(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33567\/9 - (-6)\/18. Suppose 2*z + k = 5*h + z, h = -2*z + 757. Let t = h - 410. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o**2 + 124368*o + 35532 = 0. Calculate o.\nAnswer: -5922, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.11. Let l = -94 - -94.1. Let j = 42 + -38. Which is the nearest to 0.1? (a) j (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(14) + (sqrt(126) - sqrt(14) - sqrt(14)))\/sqrt(7) - (1*sqrt(2) + -1)) + 1) + -4*(1*(sqrt(44)\/sqrt(2)*-1)\/sqrt(11))**2.\nAnswer: -18 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3022 (base 5) to base 12.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1\/8 (c) 26 (d) -1105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from wxnvo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 219 + 257. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 928 and 1566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 1. Let y be z(4). Let k = 7 + 2. List the prime factors of (k\/(-2))\/(y\/12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 20*o**2 + 21*o - 89. Let b(y) = 9*y**2 + 11*y - 45. Let z(s) = -9*b(s) + 4*v(s). Calculate the least common multiple of 30 and z(-17).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**6\/10 + y**5\/20 + 202*y**3\/3 + 417*y. Find the second derivative of k(g) wrt g.\nAnswer: -36*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yww when three letters picked without replacement from wwcybif.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10*r**2 + r. Suppose -4*o - 3*m + 1 = -10, -2 = -2*m. Let n be o + -4 + 2 - -1. What is y(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127954161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**3 + 21*u - 6. Let f(o) = -4*o**3 + 22*o - 5. Calculate 4*f(a) - 3*t(a).\nAnswer: -a**3 + 25*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (63\/36 + 7 - 9)*-1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480473.6 litres to millilitres.\nAnswer: 480473600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 8*y + 6*y. Suppose y = 11*p - 8*p. Are p and 2\/129 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688137 (base 9) to base 15\nAnswer: 82454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 4*t - 20 = 0, -5*t - 113 = -4*s. Let y = s - 29. Find the second derivative of 97*p**y + 7*p - 97*p**3 + 5*p**5 + 6*p**5 wrt p.\nAnswer: 220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5740, -4166, -2594, -1024?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -22078*o - 64143. Determine x(-3).\nAnswer: 2091","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -379 - -384. Solve 3*w - 4 = x, 2*w - w = -h*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 12. Let s = -7 - u. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z + 6. Let a be x(5). Let o = a - 22. Suppose 7*p = 10*p - o. What is the highest common divisor of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**2 - 19*g**2 + 14*g**2.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000161465842 rounded to seven decimal places?\nAnswer: 0.0001615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - q + 1 + 1 - 3 + 3 - q + (-q + 2 - 2)*(1 + 3 - 3) + 3*q - 4*q + 2*q.\nAnswer: -3*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1168 and 539324?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 + 3*t**4 - 4*t**4 + (0*t - 2*t + t)*(4*t**3 - 2*t**3 + 0*t**3) - 4*t**4 - 3*t**4 - 3*t**4 - 3*t**4 - 2*t**4 + 4*t**4 - 2*t**4 + 6*t**4 + 0*t**4.\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g. Let a(k) be the third derivative of 5*k**7\/1008 + 2*k**5\/15 - 16*k**2. Let x(p) be the third derivative of a(p). What is x(u(f))?\nAnswer: -50*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*b = 23*b - 1781 + 2101 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00255524023 rounded to 5 decimal places?\nAnswer: -0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/4 - 9*b**3 + 27*b**2\/2 + 243*b - 2187\/4 = 0.\nAnswer: -9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3718\/(-33))\/((12\/(-9))\/(-4)). Let q = 363 + d. Let h = 173 + -75. What is the remainder when h is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33154 and 363.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 22 = -0*j + u, 3*j + 2*u + 9 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2. Let l(z) = -514*z - 5 + 1 + 5. Calculate n(l(i)).\nAnswer: -792588*i**2 + 3084*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2319*v - 58954 + 231212 = -316*v for v.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 8*u**2 - 8*u - 7. Let b = -836 + 830. Give n(b).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*(-5828)\/94.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**3 + 6*c**2 + 42*c + 3. Let k(j) = 3*j**3 - 4*j**2 - 36*j - 2. Give -7*k(u) - 6*p(u).\nAnswer: -9*u**3 - 8*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.083 + -4.783. Let t = 25 - 73\/3. What is the closest to 0.3 in t, -1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-2))\/(-10 - -11)*-16. Let k be ((-2)\/(-10) - (-568)\/x)\/2. Let p(z) = -27*z - 4. Does 27 divide p(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4\/2 - 4249593*t**3 + 6019697220231*t**2\/2 - 12039343445394*t + 12039326447046 = 0.\nAnswer: 2, 1416529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or 352\/5?\nAnswer: 352\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -171699 + -3?\nAnswer: -1716a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 + 95*j**2 - 96330*j + 288000.\nAnswer: 5*(j - 128)*(j - 3)*(j + 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/112 and 13\/65114?\nAnswer: 520912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69*((-8)\/60)\/((-4)\/(-10))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86534 is divided by 43251.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 48 = 10*g. Solve -g = -5*d - 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 1. Let j be q(-1). Let y = 0.27 - 0.17. What is the third biggest value in y, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22 - 0\/((7 - 4)*1). Suppose -q = -5*l - 4*s, 0 = -4*l + 4*s + 7 + 25. Suppose -3*n + 6 = 3*n. Solve -3*r = -2*i + 4, -r + n = 3*i + l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*x. Solve 2*u = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktmwwnk. What is prob of sequence kw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, y: 2}. Give prob of sequence bbyy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.407 rounded to one decimal place?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 + 32*p - 18. Let r be h(10). Solve -6*g - 20 = -r*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-3))\/(4\/6). Which is the third biggest value? (a) -0.01 (b) -1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z + 18*z + 13*z)*(-4*z - 1 + 1) + (-z**2 - 3*z**2 + 2*z**2)*(1 + 2 - 4) + (-2*z + 1 - 1)*(z - z - 2*z) - 5*z**2 + 3*z**2 + 4*z**2.\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*w - 465, -3*w + 2295 = 5*b + 2*w. Let r = b - 458. Solve 5*g + 4 = r*h, 5*h - 2 + 9 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -11258.2?\nAnswer: -11258.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-256)\/28 - (-3 + -6). Which is the third smallest value? (a) 2 (b) l (c) -673\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(75) + 5 + sqrt(75) + 5)**2.\nAnswer: 220*sqrt(3) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 5*m**5 + 81*m - 37. Find the first derivative of g(p) wrt p.\nAnswer: 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -4\/16719039?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -75c5b + 3?\nAnswer: -75c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127*b**6 - b**2 - 2*b**2 - 94*b**6 + 4*b**2 wrt b?\nAnswer: 3960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q. Let b(o) = -20*o**2 - 11*o. Give r(b(i)).\nAnswer: -20*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 280\/429 - -2\/143. Suppose 3*j - 52 + 15 = 5*y, -2*y - 4*j = -6. Let f be (-6)\/9 + 0 + y + 5. What is the third biggest value in f, q, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 9. Let b(q) = 4*q + 37. Let j(l) = 2*l**3 + l - 2. Let p be j(0). Let t(x) = p*b(x) + 9*g(x). Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 431*i**4\/4 - i**3\/2 - 17*i**2\/2 + 3084*i. Find the second derivative of d(s) wrt s.\nAnswer: 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 28*z**2 - 25*z - 47. Give d(27).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r + 6048 = -74*r - 134*r for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - j - 529. Let c = 1127 - -897. Let m be c\/j - (4 + 0). Do -1 and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -2*(4 + -3). Suppose -2*f + 108 = u*f. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2839036 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 963 and 4708.\nAnswer: 42372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*i*z**4 + i*z**2 + 111*i*z wrt z?\nAnswer: -324*i*z**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1224756 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -81 divided by -2\nAnswer: 81\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/26, -0.5, 2, -0.3?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 8*c + 8. Let x be z(8). Suppose 0 = -6*d + x*d - 4. Let n(f) = -2*f**2 - f - 2. Calculate n(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + 32. Suppose -2*b - 206 = o*b - 2*q, q + 113 = -2*b. Let k = b + 74. Does 5 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - ac4188?\nAnswer: -ac4187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 114. Let l = 38 + t. Let f = -15 - -24. Solve -2*d - 1 = -h + f, l*h + 6 = -4*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 433 - 441. Let p(h) = -h**3 - 4*h**2 + 36*h - 15. Let c be p(k). Is c != -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 126*y - 122*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*x - 3, -2*x + 16 = -5*n + 25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*o - 894 + 900 = -3*l, -10*l + 4*o - 20 - 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*q - 12 = m, -3*q = 2*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 120*f - 332. What is the remainder when y(4) is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 695340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -18) + (108 + -105)*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-1 - -2)*-3. Is (u - -1933)*(-2)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7768, -15719, -24064, -33001, -42728?\n\"Answer: -33*w**3 + w**2 - 7723*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 1490 = -14240. Does 42 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 times -0.141?\nAnswer: -6.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -188, -2195, 43, -4 in increasing order.\nAnswer: -2195, -188, -4, 1\/2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -5. Suppose 4*y - 4040000 = o, 0*y = -t*y - 3*o + 5050000. What is y rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.11 + 5.11. Let c = -260.96 + 261. What is the second biggest value in 0.4, s, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*f - 8032 - 1181 = 6911 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -386bb?\nAnswer: -386c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -7715 >= -7713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.037 + -215.037. Which is the biggest value? (a) 0.1 (b) -2\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -2 (b) 3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 480?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -5*b + 30617, -r = 166*b - 171*b + 30621. Does 175 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1499*y + 89. What is the lowest common multiple of n(-1) and 3?\nAnswer: 4764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.056 (b) 0.2 (c) 2\/11 (d) 5.8 (e) 9 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 108 = j. Let t be (-40)\/3*j\/5. Let o be (t\/28)\/(4\/42). Calculate the greatest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -97.5. Let v be (-100)\/30 - (-4)\/(-6). Which is the closest to 7\/5? (a) o (b) v (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Suppose -5*v + b*v = -5. Suppose 0 = 5*g - v, 5*i + 5*g - 20 = 0. Solve 5*x = -i*u + 21, -x + 9 = 2*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 23, 8.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.16 rounded to zero dps?\nAnswer: -565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 4. Let a be (10\/6 - 2)\/z. Sort -0.4, 1, a in descending order.\nAnswer: 1, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 38 = -3*w, -l - 36 = -475*w + 471*w. Factor -2*h - l - 1\/4*h**2.\nAnswer: -(h + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -165682, -331354, -497028, -662704?\n\"Answer: -o**2 - 165669*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/73)*r**(-26\/5))\/(r**(1\/4)*r**(-33)) assuming r is positive.\nAnswer: r**(40263\/1460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**2. Let t(s) = -s**2 + 7*s**2 - 4*s**2. Determine f(t(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 4*j - j - 7, -2*l - 21 = -5*j. Let v = 36 + -51. Let h = -13 - v. Solve 0*w = l*w + h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**17)\/m)\/(m*m\/((m\/(m\/((m\/m**(-5\/2))\/m*m*m))*m)\/m))*(m*m**(3\/2)*m*m)**(-9))**30 assuming m is positive.\nAnswer: m**(-1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i + 0*i + 6*i)*(5508 - 5508 + 53*i)*(0*i + i - 2*i) to a*i**2 + o + h*i + k*i**3 and give k.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1011 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 26 = 3*u. Solve -u*t + 11 = -3*r, -2*r = 2*r + 4*t + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -191*s**2. Let t(i) = 18008*i - 18008*i + 4*i**2. Determine t(v(b)).\nAnswer: 145924*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 14*s + 184. What is c(9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 15, 0 = -x + b - 1362 + 1761. Calculate the lowest common multiple of 1773 and x.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -778356*n + 537338.\nAnswer: -778356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18486015.\nAnswer: 3, 5, 1232401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwxx when four letters picked without replacement from wxxxxwx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, -134 in increasing order.\nAnswer: -134, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**5 + n**4 - 537*n**3 - 60595*n**2?\nAnswer: 180*n**2 + 24*n - 3222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -436095*b**2 - b - 1. Let p(m) = -16*m**2. Determine j(p(l)).\nAnswer: -111640320*l**4 + 16*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 - 2547*g**2 - 25233*g - 52857.\nAnswer: -3*(g + 3)*(g + 7)*(g + 839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3080)\/(-1050) + 5\/((-250)\/80)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 18 = -24. Suppose p = -t + 4. What is the third derivative of 15*v**3 + 0*v**t + 3*v**2 - 7*v**2 - 21*v**2 wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 11:44 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -7*l**4\/4 + l - 7. Calculate s(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162.16 + 163. Let i = 0.48201 + 0.357468. Let v = i - q. Round v to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1003 - 0.027\nAnswer: 1002.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -5 - 3\/(-1). Let y = 10 + -7. Find the third derivative of 0*b**3 + b**3 + y*b**2 + l*b**3 wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 18. Determine h(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -41. Let t(n) = 2*n + 31. Let q be t(f). Suppose k - k = -q*k. Put k, -3, -5 in descending order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v = 5*i - 35, -5*v + 5*i = -85. What is the nearest to v in 0.1, -0.5, -5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 44*y**3 - 21*y**2 - 145*y + 8. Let r(x) = 41*x**3 - 21*x**2 - 145*x + 10. Let v(c) = 5*f(c) - 4*r(c). What is the second derivative of v(n) wrt n?\nAnswer: 336*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*o + 505, 0*h = -4*h + o + 688. Let a = h - 21. What is the remainder when a is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3024 or 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 5*p**2 - 4 + p**3 + 1 + p. Let v be h(5). What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13224 + 155?\nAnswer: -13036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 501*m + 14243 + 5970 = 161*m - 153*m for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*r + 2*r - 100 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 e when two letters picked without replacement from mnnzernennyyynyyynm.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001588 rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14495540?\nAnswer: 2, 5, 724777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 119626*-730\nAnswer: -87326980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-57 - 0) + (-2 - -70) + -66.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13\/(-39))\/(21\/(-18)). Let m be (-6)\/9*(1 + 0). Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18898.\nAnswer: 2, 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l**2. Let c = 1510 + -1508. Let a(b) be the third derivative of 0 - 1\/12*b**4 - 25*b**c + 0*b**3 + 0*b. Give a(g(n)).\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*h. Let d be 6*12\/8 + -2. Is h less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110111 + 1?\nAnswer: 110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -110240*w**2 - 4*w - 2. Let k(a) = 2*a. Determine k(v(p)).\nAnswer: -220480*p**2 - 8*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2710 and 61439765.\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 135 = -20*d. Solve 14*i = d*i + 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1976*b - 3178*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d6 (base 14) in base 9?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 1:41 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (490\/294)\/(50\/18)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 2313267?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (-970)\/80)\/((-879)\/(-30472))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 12:37 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 4 (b) -8 (c) 0.5 (d) 75 (e) 2\/529 (f) 0.01 (g) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.447 - 0.053. What is the closest to 2 in j, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154467581, -308935155, -463402725, -617870291, -772337853, -926805411?\nAnswer: -1081272965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -408\/625109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-13)\/((t\/(t\/(t*(t\/t**6)\/t)))\/t**8) assuming t is positive.\nAnswer: t**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 19*p**2 + 29*p - 58. Let j be r(-22). Let a = 54433\/72 - j. Do 1 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -66, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51897\/8 - -6499. Calculate the common denominator of p and (-4)\/6 + 202\/(-30).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/12 + o**3\/6 - o**2\/2 + 2*o. Let g be n(2). Find the second derivative of -g*a + 3*a - 2*a**5 + 3*a wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 17 (c) 5 (d) -1\/4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 555972237096933?\nAnswer: 555972237096934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 26*c**2 - 933*c + 79. Calculate the least common multiple of 51 and s(36).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 9*h**2 - 17*h + 17. Let s be c(7). What is the units digit of (-24)\/(-1 + s\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -218 + 317. Let a(m) = -m**2 - 2*m + 2. Let z be a(-4). Let x be -14*z\/12 + 11. Calculate the greatest common divisor of s and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145418343?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 73*p + 79*p + 21 = 0, 5*p = 2*t - 22 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4633 + 4683. What is the greatest common factor of 410 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14560573?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8201, -8191, -8175, -8153, -8125?\n\"Answer: 3*k**2 + k - 8205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.287? (a) 651 (b) 5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/252)\/((-1)\/2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102664*q = -102598*q - 2046. Suppose 0 = -5*g - w + 1710, 709 = 3*g + 4*w - 334. What is the greatest common divisor of q and g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/25 and 83\/20.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:52 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -36354.5, 2, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzbbzxxxbzzbblzbzb. Give prob of sequence bbb.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 222\/145 + (-74)\/(-185).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) -4\/9 (c) 2 (d) -0.4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3392 + -0.0389. Round o to 3 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42.5 - -43. Let v be 372\/279*(-1)\/(-6). Which is the second biggest value? (a) v (b) s (c) -7.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 1. Let q = 6.5 - j. Which is the nearest to 2\/11? (a) -4 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1797212 and 1797211 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.1681434 months?\nAnswer: 0.00001401195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:55 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8392 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 1. Let o(h) = 3*h**2 - 4*h + 2. Let k(n) = 2*n**2 - 3*n + 2. Let y(a) = 4*k(a) - 3*o(a). Determine -2*m(c) - y(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 15030?\nAnswer: 15024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02 - 0.98. Which is the closest to i? (a) 0 (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -860, -862, -864, -866, -868, -870?\n\"Answer: -2*y - 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -681594, -1363086, -2044580, -2726076?\n\"Answer: -m**2 - 681489*m - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/2 - 10*p + 19\/2 = 0. Calculate p.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -12 + 0*p + 0*p**5 + 0*p**2 + 2*p**3 + 0*p**4 + 3\/2*p**6. Find the third derivative of q(i) wrt i.\nAnswer: 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5866*f + 2904*f + 2944 = -2916*f for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmi when three letters picked without replacement from ninxexnesxemmi?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and -0.1.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 7\/43 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83.6 + 263.8. Let g = w - 46.2. Sort 2\/11, -0.4, g.\nAnswer: -0.4, 2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5996563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -309, -2899, -9929, -23619, -46189?\n\"Answer: -370*y**3 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56629\/3 - 282929\/15. Factor 1536\/5*f - 576\/5*f**2 + 0 + a*f**3 - 3\/5*f**4.\nAnswer: -3*f*(f - 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -667*j**2 + 172*j**2 + 55*j - 57*j + 36 - 3*j**3 - 34 - 969*j**2 in the form u*j**2 + o*j + x*j**3 + c and give u.\nAnswer: -1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + -2 + 6 + -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 65004, 130010, 195018, 260028, 325040, 390054?\n\"Answer: k**2 + 65003*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:30 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 11*v - 10. Let r(t) = t**3 + 4*t**2 - t + 15. Let l be r(-5). Let o be g(l). What is the second biggest value in 0.5, o, 5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 - 8*h**2 - 2*h - 16. Let u be r(-8). Suppose -5*f - 3*f + 80 = u. Solve -2*a + f = 4*m, -4*m = 3*a - 3*m - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 30 = 7*l. Let h(x) be the first derivative of 46 - 1\/2*x**2 + 7*x. Calculate h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 32*q - 17 = 27*q, 0 = -8*q + 40 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m + m**2 - 2*m - 5*m + 11*m + 13*m**2. Calculate p(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**2 + 7. Let g(s) = -2*s**2 + 3. Let m(y) = 3*b(y) - 7*g(y). Let x(n) = 6*n. Give m(x(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 107294222 and 140.\nAnswer: 1072942220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -82\/21441 and 69\/28588.\nAnswer: 85764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1204969252)\/(-1370) + 0 + 4\/10. Let u = -7220460 - r. What is u rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9232 and 32120?\nAnswer: 37066480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 + 22 + h**2 + 3*h**2.\nAnswer: -3*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = 4*p - 0, 0 = -p. Find the second derivative of -f*x**2 + x**2 - 25*x + 4*x**2 + 0*x**2 wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 11*z + 11. Let d be q(-10). Let o be (-3 - (780\/(-4) - d)) + 3. Suppose -2*u = 5*m - 2*m - o, 5*m + 228 = 2*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134476 and 48.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 29. Is g greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 41*k**2 - 44*k - 73. Let l be j(39). Suppose -5*c + 2432 + l = f, 5*f + 25 = 0. What is the greatest common divisor of 164 and c?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011011 + 110010101?\nAnswer: 1001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 10) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 10) in base 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 1.21?\nAnswer: 0.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 11) to base 12\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 * 0.067.\nAnswer: -0.00335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 + 172*x + 1817. What is l(-58)?\nAnswer: -1431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 756766?\nAnswer: 2, 61, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -5. Suppose -18 + 3 = -5*d. Let b(a) = 3*a**3 - a + 1. Let v be b(1). Solve -d*n - 5 = i, q*i - 8 = v*n + 2*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14063 and 581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*v + 995684 + 9393916. What is v rounded to the nearest 10000?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3504a7 (base 14) to base 9.\nAnswer: -3353023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.3 (c) 15\/173 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 7*h + 2. Let m be p(-7). Let c(v) = -2 + 4*v + 3 - 4. Calculate c(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3318*l**4 + 2959*l**4 - 2458*l**4 + (-l**2 + 2*l**2 + 0*l**2)*(-5*l + 5*l - 2*l**2) to the form k + p*l + d*l**2 + z*l**4 + v*l**3 and give z.\nAnswer: 3817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 5*s**2 + 2*s**2)*(2*s + 2 - 2) + (2*s**3 + 0 + 0)*(-10 + 5 - 8).\nAnswer: -30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 9. What is the closest to -1\/4 in -1\/6, 0.3, q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 179 divided by 35\nAnswer: 179\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebebeieb. What is prob of picking 1 b and 1 e?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = -0. Let c be z - -5 - 8\/(-1). What is the highest common divisor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 7*p + 440 = -16*p. Suppose 6*h + 13 = h - 4*l, 5 = 2*h + 5*l. Put 5, 1, p, h in increasing order.\nAnswer: p, h, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*q + 2. Solve 2*j + 1 + q = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29677454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546178313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-49)*-7*-7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 7 - (13 + -15)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -328*s**7\/105 - 136*s**3\/3 + s**2 - 181. Differentiate k(l) wrt l.\nAnswer: -2624*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, g: 3}. What is prob of picking 2 g and 1 t?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -276*q**2 - 2*q - 5. Let o be n(-1). Let c = 1383 + o. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 13. Let b = q + -6. Suppose -2*g - 3*y + y + 2 = 0, -2*g + b*y = 13. Is g greater than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*1*sqrt(162) + 3 + 2*(-2 + sqrt(162))*-4)**2*-2.\nAnswer: -1944 + 1296*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/48 and 41\/972.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuw when three letters picked without replacement from {w: 7, u: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 9, -4*w = 3*a - 13 - 8. Sort 2, -1, a in descending order.\nAnswer: a, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -2 - (26 + -25)) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millisecond in microseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 18*l**2 + 35*l + 15. Let s be r(16). Let q be (4\/(-9))\/((-7)\/s). Solve n - q = -9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-5 + -2 + 4). Solve 2*n = -k + 1, 3 - 10 = -4*n - u*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -22, -27, -30?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*i**(-2\/25))\/i*i*(i**(2\/11)\/i)\/i*(((i\/(i\/((((((i*i*i*i**(8\/3)*i*i)\/i)\/i*i)\/i)\/i)\/i)))\/i)\/i)\/i**(5\/4) assuming i is positive.\nAnswer: i**(1711\/3300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1245\/1743)\/((-3)\/6*1*-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2103a4 - -4c?\nAnswer: -210358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-52)\/(-16) - 2\/8. Let i = -46 - -47.05. Let r = 0.05 - i. Which is the smallest value? (a) 5 (b) r (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458591977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1455542468?\nAnswer: 2, 4583, 79399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74091549 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*((sqrt(432) + (sqrt(432) - sqrt(432)*2) - sqrt(432)) + sqrt(432))*2 + 3 + -3)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (6 - (-1 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 140*l**2 - 5*l + 33. List the prime factors of z(5).\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 + 0 = 0. Let z = 3162 - 3145. Is o <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 37*m - 3. Let z be o(1). Suppose -z = -a - 2*w, 0 = -3*w + 11 + 1. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 2*m - 6. Suppose 0 = -4*g + 2*g - 2. Let l(j) = -j**3 - j**2 + j. Let v(x) = g*r(x) - 2*l(x). What is the first derivative of v(i) wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38935231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.53696626 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 2\/3*g**3 + 2\/3*g + 1\/6 + 1\/6*g**4.\nAnswer: (g + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g. Let y(n) = -45*n. Suppose 0 = 5*v + 4*z + 9 + 1, 3*z + 15 = 0. Give v*y(w) + 9*a(w).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**2 - 2*z**2 + 5*z**2 + (2 + 3 - 6)*(2 - 2 - 5*z)*(-4 - z + 4).\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -329*v + 680*v + 367*v + 686*v + 9828 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -a**3\/3 + a**2\/2 + 8*a - 1. Suppose f = -0*f + 1. Suppose -5*x + 6 = -5*t + f, 0 = -2*x + 2. Give v(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4526924*q**2 + 2263151*q**2 + 2263776*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 205\/8?\nAnswer: 205\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -143\nAnswer: 57.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + b?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**5\/15 - v**4\/3 + 5*v**3\/9 - v**2\/3 - 792. Solve w(t) = 0 for t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7*y + 20. Let u be 61\/9 + y\/(-18). Suppose u*w - 4*w = 45. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**6\/810 - 2*f**5\/45 - 2*f**4\/3 + 4*f**3\/3 - 2*f**2 - 6*f + 2. Let v(t) be the second derivative of m(t). Factor v(x).\nAnswer: -4*(x + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202 + -20012221221101?\nAnswer: -20012222002010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.2, 93, -598, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/4 of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Suppose -x = q*b - 13, b - 2*b = -4. Let d = 4 + -2. Solve d*o + 3 = -x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h. Let k(c) = -c. Let j(p) = -2*k(p) + o(p). Let s be (-2)\/(-20)*338 - (-10)\/50. Let u(d) = s*d + 12*d - 7*d - 2*d. Give j(u(m)).\nAnswer: -74*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -442.81726 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + 2*j**2 - j - 1. Give p(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*i - 2 = 0, 2*i = 4*b - 0 + 10. Let g be 10\/3 + -2 + 5\/3. Let f(d) = -d + 3. Let y be f(4). Sort y, b, g in increasing order.\nAnswer: b, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 103. Let g = -0.9 - -3.9. Which is the third smallest value? (a) g (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2408 divided by -1204?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*5*6672\/(-15). Let h = 8958\/1813 + 144895073\/32634. Let p = r - h. Find the common denominator of p and -133\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 7*s**2 - 3*s - 5. Give r(7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 - 61114*r.\nAnswer: -r*(r + 244456)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 9*f + 9. Determine j(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 871*c - 318 - 616 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/100)\/(5\/50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3253914?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-3331517416924\nAnswer: -3331517416924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) - sqrt(22)\/(sqrt(2) - sqrt(8))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 9*q - 11. Determine c(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -1756, 0.02?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17138 divided by -779?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/12 and 53\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 7*s**2 - 5*s - 7. Let c(j) = j**3 + 3*j**2 - 2*j - 3. Determine 5*c(n) - 2*h(n).\nAnswer: n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7980\/455 + (-48 - -30)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 7*y - 6. Let r be x(7). Let l be -1*(-4)\/r*-3. Suppose 6*w - 16 = 2*w. What is the greatest common factor of l and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 8:46 PM?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -580085*v - 8701276. Determine q(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 4 + 3 + 50*k.\nAnswer: 45*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*y**4 + 123 - 245 + 122 + 13*y wrt y.\nAnswer: 396*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57 - 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -375, -706, -1035, -1362, -1687, -2010, -2331?\nAnswer: -2650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*((f**(-10)\/f*f)\/f)\/f*f)**(-1\/7)\/((f**0)**(-41)\/((f\/(f*f\/f**(-4)))\/((f**(-2\/11)\/f)\/f))) assuming f is positive.\nAnswer: f**(-96\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3070.1 rounded to the nearest one hundred?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17594487?\nAnswer: 3, 1954943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 - -6. Sort -3, d, 0.2, 0.\nAnswer: d, -3, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -577, -378, -55, 386, 939, 1598?\n\"Answer: -c**3 + 68*c**2 + 2*c - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -5 (b) -1\/9 (c) -5\/2 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(72)\/sqrt(3))\/(sqrt(32)\/sqrt(4)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45259\/5823978 + -1\/11442. Sort 0.5, x, 0 in descending order.\nAnswer: 0.5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09 - -0.49. Put -1, z, -5\/2 in decreasing order.\nAnswer: z, -1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 133245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.035 - -14. Let c = 60.965 - k. Let h = c - 62. Which is smaller: -3\/7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) 2 (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*j = -22 + 6, 4*j = -16. Suppose -t + 6*t - 2050 = o. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Let i = 126 + -121. Suppose i = 5*t, -h + 5*t + 784 = a*t. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -172, -44, 210, 584, 1072, 1668?\n\"Answer: -q**3 + 69*q**2 - 72*q - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*i + 12 = -0, 3*i + 4 = v. Solve 5*n + 28 = v*d - 3*d, 5*n + 24 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -602 - c2?\nAnswer: -6c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8731663 and 24307?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316056319 to the nearest integer?\nAnswer: 17778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -850 + 865. Let z = 19 - 13. Calculate the greatest common factor of o and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-32)*7\/(7\/(-24))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = -2*w - 3*m, 3*w = m + 36. Is (w + -169)*2\/(-6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 248117964*b**5 - 4773*b**2 - 242?\nAnswer: 14887077840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5698353.\nAnswer: 3, 541, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/66347040 and 83\/1382230?\nAnswer: 66347040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from dizizdiddaazaiidir.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 17. Does 9 divide -2 + 4 - (d - 26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -59. Let x = -15 + v. List the prime factors of (22\/(-10))\/(x\/10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*g - g + 693, -2*g - 684 = 5*x. Let a = -91 - x. Suppose -4*n = -32, 5*n - 576 + 608 = 3*r. What is the remainder when a is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + h. Let j(k) = k**3 - 4*k**2 + 10*k + 6. Let t be j(5). Let l(g) = 3*g**2 - 2*g**3 - 161 + t - 3*g + 77. Calculate -l(u) - 3*s(u).\nAnswer: 2*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 0*u - 2*u)*(20699 - 4747 - 6168) to the form i*u + d and give i.\nAnswer: -39136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*s + 32, 4*s - 3*l = -62 + 54. What is the closest to s in 0.1, -1, -0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -0*u - 4. Suppose -147 = -5*c - a, -u*a + 56 = 3*c - 35. Suppose -60 = -2*x + 4*b, 3*x + 4*b - 7*b - 51 = 0. Solve 5*w - x = -c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 62460*v + 195062580.\nAnswer: 5*(v + 6246)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34.78 - 5.88. Let f = i + -29. Which is bigger: f or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -974, -1639, -2304, -2969, -3634?\n\"Answer: -665*h - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 20, 36, 56, 80, 108, 140?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-572)\/65 - -9)\/((14\/(-24))\/(-7))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -22*o + 1. Let z be c(-1). Suppose -35 = -0*n - 5*n. Let j = z + n. Is j a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 93? (a) 1\/9 (b) 4 (c) 56.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 61 and 110.209184?\nAnswer: 49.209184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-1 + 0 + sqrt(847) - (sqrt(847) + -1)*-3) - 5*3*(sqrt(847) + 1)*2)**2.\nAnswer: 16588*sqrt(7) + 573413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14 = 11. Let z = -3 + a. Solve -z*i**2 + 1 + 7\/2*i = 0 for i.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200695.\nAnswer: 5, 11, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a54 (base 11) to base 7.\nAnswer: 35661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000683445 rounded to 6 decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44, 6, -4, -3 in descending order.\nAnswer: 6, -1, -3, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/300)\/(1 + 10\/6). Let s(w) be the third derivative of 1\/60*w**4 + 0 + b*w**6 - 1\/50*w**5 + w**2 + 0*w**3 + 0*w - 1\/525*w**7. Solve s(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 5, -319 in descending order.\nAnswer: 5, 0.7, -319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 - 16*b**2 + 3*b - 10. Let f(l) = -3*l**3 + 16*l**2 - 2*l + 10. Let a(v) = -3*f(v) - 2*m(v). Let u(g) = 5*g**2 + 3. Calculate -2*a(i) - 7*u(i).\nAnswer: -2*i**3 - 3*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801606 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 468723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**3 + 532*c**2 - 536. Let o(i) = 4*i**3 - 1065*i**2 + i + 1075. Let f(p) = 5*j(p) + 2*o(p). Factor f(z).\nAnswer: -2*(z - 265)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 6:19 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 2. Let n be 5\/(-5)*(0 + u). Suppose -2*r - n = -3. Which is the third smallest value? (a) r (b) 2 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 23 = 30*y - 31*y, z = 5*y + 20. Let u be y + 32714\/242 + (-4)\/22. Calculate the highest common factor of u and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 5*w - 3. Let i be 117\/45 - 2\/(-5). Let k be f(i). Factor -k*a**4 + 2*a**4 - 6*a**2 + a**4 - 9*a**3 - 3*a**4.\nAnswer: -3*a**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016620549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425 + 1540 + 186*l - 163*l.\nAnswer: 23*l + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4 + (-60)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 139850 - 139850.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = 6*m - s - 1519, 0 = m - 2*s + 382. Let d = 383 + m. What is z in -3\/2*z**5 - 24 - 48*z**d - 84*z**2 - 27\/2*z**4 - 72*z = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -23. What is the units digit of 1 - 2 - (t + -33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/93 greater than 1.84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*p - 0. Let l = 5 + p. Suppose 0 = 4*o - o + 15, y + 5*o + 17 = 0. Solve -4*q = -4*s - y*q - 40, -l*s = -q + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i, 2*i + i + 30 = 2*d. Suppose -4*y - 3*x = 42 - 179, -d = -5*x. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 175\/42 + (-2)\/12. Let v be m*((-86)\/4)\/(-1). Suppose v = 2*n - 0. Calculate the remainder when n is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1295394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/12 - 7\/42. Suppose 3*g + m*z = 5*z + 981, -z = 3. What are the prime factors of g?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 7700?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-2)**2 + 4 + (sqrt(6)\/sqrt(3))**2.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 + 2 = 2*i - 34, 0 = -4*r. Solve -2 = -4*l - 3*m, -2 = -19*l + i*l - 2*m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/(867\/(-6358)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, 309 in ascending order.\nAnswer: -4, -2, -1, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3*v - 3. Is 8 a factor of t(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 5*r = -7*r. Let f be (r\/67)\/(-1 + 0). Is 8\/115 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -18 (c) -2\/7 (d) 1 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*6 + (sqrt(13) - sqrt(13)*2*-2) + (sqrt(208) + -3 + 3)**2.\nAnswer: 29*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13236665 divided by 5.\nAnswer: 2647333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 27*z**2 - 73*z + 35. Let b be f(-27). Calculate the highest common factor of b and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 136\/20 - 7\/1. Put x, -2\/15, 0.06, 2 in ascending order.\nAnswer: x, -2\/15, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*n = -164*n - 2, -4*o - 2*n + 24 = -4*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33476 - -33476.1. Which is the closest to g? (a) 13 (b) -0.089 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1508804 and 3154772.\nAnswer: 34702492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1788 divided by -3\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -11 (c) -2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 8 = -v. Let x = 27 - v. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*j, -4*m - 10*j - 27*j + 55 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*z - 118215, c + 74128 = 3*z + 3203. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4021.564 micrometers to centimeters.\nAnswer: 0.4021564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6964 - 6939. Let l(f) = -4*f + 113. What is l(u)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/183 and 83\/63?\nAnswer: 3843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -37. Let h be 1959\/21*1*1. Let t = -93 + h. Which is the second smallest value? (a) 2 (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 141, 1095, 3673, 8685, 16941?\n\"Answer: 135*g**3 + 2*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 497 - 1510\/3. What is the common denominator of 27\/22 and f?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30694600 rounded to the nearest one hundred thousand?\nAnswer: 30700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63546, -127093, -190640, -254187, -317734?\nAnswer: -381281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -783, -2562, -5995, -11628, -20007?\nAnswer: -31678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (-15 - 14) + 7 + (6 - -1).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 10, 2\/13, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-176)\/33*(-12)\/(-8)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 2. Suppose -2*p - 2*y + 10 = -0, -4*y = 2*p - 10. What is m(p)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z**2 - 4*z - 2. Let n be p(-2). Let l be (n\/20)\/((-4)\/(-5)). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1675, 1712, 1743, 1762, 1763, 1740?\nAnswer: 1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*n**3 + 95*n**3 - 5*n**2 + 5*n**2.\nAnswer: -19*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 13 + -36 + 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/3)\/(9\/3). Let k be -1*(-2 + 1 + 0). Which is greater: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/270 and 37\/11448.\nAnswer: 57240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and (129 - 50) + (-11 - -1)\/(-2).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17853881 is divided by 191977?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -26*v + 73 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.1 (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5464915007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 5*s + 15. Suppose 31 = -2*j + 5*i + 211, 0 = -s*j + i + 257. Let h = j - 49. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6776*g + 169172 - 169172.\nAnswer: -6776*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i - 220 = 0. Suppose -4*u + 17 = s - 0*u, 4*s - i = -3*u. Suppose 4*f - s - 31 = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137079\/4 + -34518. Let o = f + 247. Suppose 5*z - 2*t - 2 + 3 = 0, -3*t = 6. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 8*g - 5. Let s be t(8). Let a be (-501 + 1)*(-4800)\/s. Round a to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/2392 and -81\/248.\nAnswer: 74152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2713824 divided by 972.\nAnswer: -2792","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Express -7*z + 7*z - 3*z**3 + (-8 + 3 + 5 + 21*z)*(5*z**2 - 17*z**2 + 4*z**2) as w*z**2 + u*z + y + n*z**3 and give n.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8953 + -8849. What is the remainder when 3326 is divided by j?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2*s**2)*(2 - 1 - 3) + 81 - 984*s**2 - 454 + 378 to u*s + a + k*s**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 240.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-1)\/12)\/((33\/(-99))\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*l - 47570 - 121549 = 2319*l + 1266*l for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52, -75, -98?\n\"Answer: -23*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9012?\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.66? (a) 79\/16 (b) 0.3 (c) 15 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 971 divide 3886913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*a - 145 - 89. Suppose -r - 5*r = -810. What is the greatest common divisor of r and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2. Let m(f) be the first derivative of -11*f**4\/12 + 127*f - 100. Let u(x) be the first derivative of m(x). Determine u(k(j)).\nAnswer: -396*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-12 + 205\/15). Let m = -60 - 19. Let k = 113 + m. Solve -3*c = -p*n + k, c = 5*c + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48303 divided by -4.\nAnswer: -48303\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l - 6 = 0. Suppose -l*r - 27 + 25 = 0. Is r at most as big as -3\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/6)\/(8\/60). Suppose c*j - 7*j + 148 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 p when four letters picked without replacement from gygifpggyggyyffgf.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.047+307\nAnswer: 307.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c - 8. What is the smallest common multiple of c and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 87, -5, -4, -34 in descending order.\nAnswer: 87, -4, -5, -16, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -490*d**4\/9 + 51128*d**3\/9 - 22682*d**2\/3 + 28048*d\/9 - 3296\/9 = 0. What is d?\nAnswer: 1\/5, 4\/7, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(((d\/(d*(d\/(d*d**(-1)))\/d))\/d)\/d)))\/d)**38\/((d*d*d**4\/d*d*d)\/(d*d**(-3\/5))))\/((d**(2\/7))**(-41))**(11\/7) assuming d is positive.\nAnswer: d**(-25037\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-6)*-15*20\/1600.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 2*u**2 - 2*u**2)*(-5*u + 0*u + 4*u) + 3*u**2 + 3*u**3 - 3*u**2.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24569 is divided by 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 5, d: 7, g: 4}. What is prob of sequence dax?\nAnswer: 35\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -77*x - 383. What is q(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 4. Let r = h - -3. Suppose 5*d - 19 = 1. What is the remainder when r is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 197427, 394704, 591981, 789258, 986535, 1183812?\n\"Answer: 197277*v + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -59*t**2 - 5*t - 4. Let j(v) = -57*v**2 - 3*v - 3. Give -4*j(y) + 3*x(y).\nAnswer: 51*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 6*a - 5. Let k be n(-6). Suppose 18 - 70 = 13*t. Put t, k, -3 in decreasing order.\nAnswer: -3, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 75 - 60. Let s = a + 183. Calculate the highest common factor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187863 is divided by 639?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/d**(4\/9))\/d)\/d**(3\/4)*((d\/d**7*d)\/d)\/(d*(d*d**(-3\/5))\/d) assuming d is positive.\nAnswer: d**(-1007\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 4*o**2 + 5*o - 146. Suppose 5 = a - 0. What is the tens digit of j(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 786 - 785.91. Let q = -39.18 + 60.09. Let t = q + g. Is t at least 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 438 = -2*l + 4*c, -3*l + 456 = -2*c. What is the greatest common factor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829?\nAnswer: 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115 + 30011?\nAnswer: 30126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 = -4*v - 9, -38 = -3*i + 5*v. Let t = i - 4. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**4\/4 - 26*b**3\/3 - 8*b**2 - 60*b + 25. Is a(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:28 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26445, 0.3, -0.3, 0.029 in ascending order.\nAnswer: -26445, -0.3, 0.029, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(39)*-2)\/(sqrt(75)*1) + 2.\nAnswer: -2*sqrt(13)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 53398098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -783 less than or equal to 483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002855 rounded to five dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - y**2 - 3*y**2 - 3*y**2 + 6 to v*y + l*y**2 + r and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/8*215 + (-27)\/108. Suppose -30*f = -y - 79. Solve 4*m = -4*o + 24, -f - 4 = -3*m - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4d8 (base 16) to base 8\nAnswer: -2330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1, -21, 6\/31 in increasing order.\nAnswer: -21, -2\/5, 6\/31, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzg when three letters picked without replacement from zngngzzanazalpl.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 5103.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 6:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = -2*x. Let h(a) = -28*a - 27. What is the hundreds digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*h**2*z**3 + 207*h**2*z**2 - 2*h**2*z - 663*z wrt z?\nAnswer: -30*h**2*z + 414*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f + 2 = 0. Suppose f*w - 114 = 140. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -219\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(114) - 1*sqrt(114)))\/((sqrt(36) + sqrt(144)\/sqrt(4))\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1728)*-2 + sqrt(1728))\/((sqrt(36)\/sqrt(4) - sqrt(9))*-2 - sqrt(9)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/4 + 25\/4. Let j = t - -7. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1327+-1\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 2\/13, -2, -0.5.\nAnswer: -2, -0.5, 0.04, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2442*s**3 - 7331*s**3 + 2444*s**3 + 9254*s**2 + 2443*s**3 - 2089*s**2 to the form m*s + v*s**3 + y*s**2 + q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 86735?\nAnswer: 86733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + j - 7*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/120 - h**5\/4 + 7*h**4\/12 + 5*h**3\/6 - 35*h**2. Let w be d(14). Solve -w*g + 7*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z**2 - z - 1. Let a be g(-2). Suppose -r + 0 = -2. Suppose -r*p + 62 = 5*y, 5*p + a = y - 1. Does 7 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20729*w**2 - 4*w + 2*w + 147*w**3 + 20729*w**2 as j*w**3 + z + k*w**2 + h*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24620487 rounded to three dps?\nAnswer: 7.246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/582 and -77\/1385742?\nAnswer: 1385742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)*a)\/(a\/(a\/(a\/a**(-2\/5)))))**26 assuming a is positive.\nAnswer: a**(-104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 842.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4920812389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 9*p + 5. Give y(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000049688 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2187*a**2 + 664*a**2 + 5*a**3 + 725*a**2 + 798*a**2.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.5 - 32. Suppose r + 5 - 8 = 0. Let y be (11\/(-10) - -1)*2. What is the second smallest value in y, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*g + 3)*(-2*g**3 + 0*g**3 + 0*g**3) + g**4 - 3*g**4 + 4*g**4.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0*w)**(2\/77)*(w\/w**1)**0)\/((w**(-2)*w)\/((w\/(w*w*w**3*w))\/w)*(w\/w**(2\/5))\/(w\/(w\/((w*w*w**(5\/2))\/w)))) assuming w is positive.\nAnswer: w**(-1597\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9005*q - 2 + 22*q**2 - 5*q**3 + 9003*q + 6*q**3. Let u be h(-22). Calculate the greatest common divisor of 147 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 253 and 3013?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*n**5 + 39*n**4 + 7*n**3 - 19*n**2 + 4*n.\nAnswer: n*(n + 1)*(n + 4)*(3*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(56\/(-4)))\/((-670)\/(-74370))?\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**5\/18 - 11*d**4\/27 + 28*d**3\/27 - 8*d**2\/9 + 2*d. Let k(v) = 0. What is v?\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r - 98553 = -101254 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-2100)*4*-1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143.000289 - 143. What is f rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 10:28 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -8. Let d be 7\/(-49) - p\/7. Solve 3*r + 2 = -d for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*v - 10 = 0, -8*v = c - 3*v. Suppose 0 = c*i - 4 - 161. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -971, -972, -973, -974?\n\"Answer: -x - 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 216.99847 - 217. What is v rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b**2 + 5*b - 26*b + 14*b + 8*b.\nAnswer: 11*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3\/7 - 16004*o**2\/7 + 1370692*o - 9578844\/7 = 0.\nAnswer: 1, 733, 3267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-35)\/(6\/9 - 5\/15). Let w be 9 - (j\/(-25) - (-1)\/(-5)). Solve -w = g - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11 and 2.2.\nAnswer: -24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnwynthtrwthttrthttt. Give prob of picking 2 r, 1 t, and 1 y.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 3*v - 61. Suppose -2*j + 15 = 3*p + j, v = 3*p - 5*j. Factor 0*y**2 - 2 - 2*y**2 + 10*y + p*y**2 - 2.\nAnswer: 2*(y + 2)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b360 + 3948?\nAnswer: -7614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 3. Let p(v) = 2*v**2 + 20*v + 4. Let a be p(d). Solve o + o - a = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 226*x - 228*x + 1 - 1. Let k(d) = -5*d + 0*d + 4*d. What is k(o(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-2888)\/(-171))*-8*(-7)\/(-504).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1875\/4 - 474. Let j = 132905\/16 - 8303. Find the common denominator of o and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/2 - 14 - 2. Let m = 8 + t. Let u be (1 - (-6)\/m)*2. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**3 + 2*c**2 - 12*c + 19. Let p(w) = 15*w**3 - 3*w**2 + 18*w - 29. What is -7*j(v) - 5*p(v)?\nAnswer: 2*v**3 + v**2 - 6*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z - 43*z = -5*a + 82, 4*a - 3*z - 65 = 0. Solve -2*b + 2 = -2*d, 5*d + 4*b + 58 - a = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000902 rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-1)\/(-54))\/(3\/12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -112?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0 + (3 + 1 - 6)*(4 - 1 - 2) + (19 + 8 - 42)*(2 - 3 + 2))*(4*c**3 - c**3 - 7*c**3).\nAnswer: 76*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1865*x**2 - 2*x - 2. Let l(o) = 9317*o**2 - 11*o - 11. Determine -22*c(n) + 4*l(n).\nAnswer: -3762*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h - 8 = 0, h = -r - 0*h. Let m = 2 + r. Let s = -125 + 125. Solve -5*z - m + 29 = s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -188*x + 16. Let f(p) = -63*p + 5. Give -10*f(g) + 3*r(g).\nAnswer: 66*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (-7 + (-8 - -12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/59 (b) 2287 (c) -1257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24*r**3 + r**2 - 7*r - 187. Let k(t) = 36*t**3 + t**2 - 11*t - 281. Let q(u) = 8*c(u) - 5*k(u). Find the second derivative of q(b) wrt b.\nAnswer: 72*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*w - 4*r, -5*w + r = 4*r - 25. Solve -10*b + 4*b - 20*b**2 - 7*b - w*b = 0.\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -175.\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17939, 5, -1 in increasing order.\nAnswer: -17939, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 80 - 28 = 0. Let w be s + (1 + -2)\/(-1). Suppose -5*o + 25 = 5*a, -21 = -3*a - a - w*o. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27979, -58175, -88371, -118567, -148763, -178959?\nAnswer: -209155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*q**3 + 44*q**2 - 968*q + 0 = 0. Calculate q.\nAnswer: 0, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 134563?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-14))\/((-105)\/(-14)*(-132)\/(-99))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23 and 20.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 2313*g + 2314*g = -32, 42*i = -0*g + 9*g + 423 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6429, 12152, 17869, 23580, 29285?\n\"Answer: -3*w**2 + 5732*w + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3288126 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4. Let r(h) = 3*h**2 + 379*h + 5. Calculate p(m) + r(m).\nAnswer: 3*m**2 + 379*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -1, -6689, -5 in ascending order.\nAnswer: -6689, -10, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302 - 293. Solve -g*r - 41 = -14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430288?\nAnswer: 2, 26893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1409128 grams in kilograms?\nAnswer: 0.0001409128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 12:45 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 2*v**2 + 2*v - 2. Let b(f) = f**2 - f - 1. Let k be b(-2). Suppose 0 = -2*g + k*s + 19, 0 = -5*g + 4*s + 5. Give c(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 5*o + 67 - 134.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*j, 5*j - 17 = -i + 7. Let h be 8\/(-14)*(-9)\/i. Let 4\/7*d**4 - 2\/7*d - h*d**2 + 0 + 2\/7*d**3 = 0. Calculate d.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.2 (c) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(34)\/(sqrt(2) + sqrt(32) + sqrt(2)) + -3)**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 205 times -6184\nAnswer: -1267720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10 + 7483 - -10 - -5.\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, 4\/9, 3\/5 in increasing order.\nAnswer: -76, 4\/9, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293 + 410. Suppose -42 = 3*z - s. Solve 5*o = 3*i + z, -2*o + 5 = 3*o + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (574 + 932 - 635 + 2748)*(3 - y**5 - 3).\nAnswer: -3619*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 9*p**2 + 2*p - 8. Let x be c(9). Suppose -5*f + 0*f = x. What is the remainder when f\/(-4) - (-219)\/6 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 26. Let m(v) = 2*v + 13. Let n(g) = -5*m(g) + 2*u(g). Let q be n(-8). Suppose q*i + 6 = 18. Calculate the highest common factor of i and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7616 + 7616. Sort 3, f, 4, -131.\nAnswer: -131, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -797, -931, -1065, -1199, -1333?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1732558337 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 33, 59, 73, 69, 41, -17?\n\"Answer: -t**3 + 33*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 247*v**3 - 41*v**3 + 2*v**2.\nAnswer: 206*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/48782867 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/6 - (0 - 1). Let i = -29 - -93.2. Let u = 64 - i. What is the second smallest value in -0.4, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 19 = 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*i + 66*i**3 + 413*i - 258*i**3 - 212*i.\nAnswer: -192*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122249 is divided by 683?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 8*p**2 - 19*p - 40. Determine n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8167746 is divided by 998.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6497694, 6497707, 6497736, 6497787, 6497866, 6497979?\n\"Answer: k**3 + 2*k**2 + 6497691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozz when three letters picked without replacement from oooozboboozooozooooo?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 9:32 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + 2*j**4)*(12*j - 32*j + 14*j - 12805 + 4*j).\nAnswer: -4*j**5 - 25610*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 3 - 0 - (-287)\/(-41). Suppose 4*a - 12 = a. Sort n, -3, a.\nAnswer: n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = -4. What is the common denominator of (-37)\/(-1 + (-19)\/3) and (-18)\/(-30)*(-210)\/u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9703*u - 155. Let t(a) = -126*a - 2. What is -6*s(l) + 465*t(l)?\nAnswer: -372*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 4 (c) -2 (d) -117032\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*b - 1053 + 1053)*(-11 - 2 - 4)*(0*b**2 + 0*b**2 + b**3) in the form z*b**3 + i + m*b**2 + r*b**4 + c*b and give r.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 - -35. Suppose w = 4*x - 3*x - 6, 0 = -5*x + k. Let n = w - -5. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 156\/51)*2. Let w = 0.7 - 0.4. What is the second biggest value in w, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q - q. Is ((-74)\/4)\/(q\/(-168)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*x = x + 24, -3*h + 5*x + 26 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1268427, 0.5, -3 in decreasing order.\nAnswer: 0.5, -3, -1268427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bssbtbss. What is prob of sequence st?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(-2)*(-432)\/(-162)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*o**2*y + 5*o**2 + 6459*o*y + o + 101543830*y wrt o?\nAnswer: -90*o*y + 10*o + 6459*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 2*u**3 - 4*u**3 + (-2*u - 4*u - 2*u**2 - 4 + 2)*(9*u + 9*u - 6*u) in the form n + m*u**2 + c*u + l*u**3 and give l.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762037997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thxowrw. What is prob of sequence xh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - -26. Suppose 0 = -2*q - 14 + 274. Let d be 2\/(-10) + j\/q. Which is the second smallest value? (a) 0 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-24) + (-22)\/(-4). Let n be 7\/28 - (-7)\/q. Find the third derivative of 0*c**6 + 2*c**2 + c**n + 3*c**6 - c**2 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/52 + 539\/(-44).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1802*f + 4 - 4 - 4651*f)*(4*f**2 - f**2 - 4*f**2) to the form t*f + a*f**2 + l*f**3 + h and give l.\nAnswer: 2849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 751400 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**3 - 27247 - 27276 + 54523.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + u)*(9708*u + 9101 - 4560 - 4541).\nAnswer: 9708*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22104991*r*z**3 + 3*r + 308229*z wrt z?\nAnswer: 132629946*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 4, 1\/7, -1\/4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*a**2*s**4 - 2*a**2*s + 2*a*s**5 - 275*a*s**2 - 2*s**3 wrt s?\nAnswer: 888*a**2*s + 120*a*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, j: 4, w: 2, x: 9}. What is prob of picking 1 w, 1 x, and 1 j?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/3)\/((-2)\/15). Let j(m) = -3*m**2 - 164*m + 519. Let f be j(3). Put u, -1, f in decreasing order.\nAnswer: u, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79115250*a**3 + 5916*a + 726.\nAnswer: -474691500*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 282. Let t(b) be the first derivative of -4*b**3\/3 + 7159. Give t(o(j)).\nAnswer: -4*j**2 - 2256*j - 318096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3496409*t + 118. Let m be n(2). Round m to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175, -346, -513, -676?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**3 - 4*o**2 - o - 3. Let r be b(-3). Is 2 a factor of (-4)\/(-18) - (-68)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1058 = -31*m - 562. Solve -k - 3*k - m = -4*y, -4*y = 5*k - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**4\/24 - h**3\/3 - 2*h**2. Let a be n(6). Let p = 6 - a. Solve 0 = -5*y + 3*r + 4, 5*y = -2*r - p*r + 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0, 0.6, -1\/2 in decreasing order.\nAnswer: 0.6, 0, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 90964, 181978, 272992, 364006, 455020?\n\"Answer: 91014*z - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 30, -1985, -5358, -10089, -16178?\n\"Answer: -679*t**2 + 22*t + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 11, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**7\/70 - z**6\/90 + 5*z**3\/3 - 24. Let r(g) be the third derivative of b(g). Find the third derivative of r(f) wrt f.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 440378505 and 1512?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-2) + 3 - -25.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, k: 3, q: 1, w: 1, v: 1}. Give prob of sequence qw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 764925?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -225 - -218. Let j be 1 + 2 + p + (-225)\/(-36). Let v = -0.3 - -0.3. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2 + 6*u - 228. Let f(c) = -6*c**2 + 10*c - 341. Give -5*f(h) + 8*s(h).\nAnswer: -2*h**2 - 2*h - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1.1. Let s = -114 + 118. Suppose s*t + 8 = 16, 3*g - 19 = -2*t. Which is the nearest to -1\/2? (a) g (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20679)\/2260*(20\/(-150))\/(16\/100)*-2.\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -43 + 26 - 30.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 9 = 0, m + 5*a - 62 = 10. Put -1, -3, m in decreasing order.\nAnswer: m, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-7))\/((-70)\/(-49))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11528.4 + -11528. What is the fourth biggest value in -23, i, 1.2, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15121\/4 - 3647. Let y = 244 + -378. Let z = j + y. Which is the third smallest value? (a) -4\/7 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r - 7. Let d be 3*7*3\/(-9). Let c(w) = -w**2 + w - 6. Suppose 22 = 3*m - 2*k, 3*m - k = -0*m + 20. What is d*c(j) + m*g(j)?\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.6, 8978, 2\/3, -9 in descending order.\nAnswer: 8978, 3, 2\/3, -0.6, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 11339694?\nAnswer: 56698470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvvjjm. Give prob of sequence vv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 1 - (156 + -156)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 6*z**2 - 3*z - 10. Let f(k) = k**2 - 3*k + 3. Let s be f(4). Let t be g(s). Suppose 5*v - 43 = -t. Sort -3, v, 0.\nAnswer: -3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 245 - 249. Put 17, 5, z in descending order.\nAnswer: 17, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/120 + 3*f**5\/20 - 5*f**4\/12 + 4*f**3\/3 - f**2. List the prime factors of r(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -2*g - 5*c, 2*c = -g - 2*g + 116. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4600354.\nAnswer: 2, 11, 67, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h + 3*t - 6, 5*h - 25 = 5*t. Solve -h*b + b = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5)\/j)\/j*j\/(j*j\/(j\/j**(-2))))\/(j*(j**3\/j*j)\/j*j*j*j**(-1\/4)) assuming j is positive.\nAnswer: j**(-39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 2 + 0 + 2*m)*(3 - 1 - 3) to z + i*m and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose -h - s - 3 = -5, 0 = -4*h - s + 8. Which is smaller: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 24 + 232 = -158 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 5. Let v = -2 + 5. Let x(i) = 2*i - 3. Let k = 28 + -20. Let c = 3 - k. Calculate c*x(j) + v*l(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5376 and 874272.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -449 + 649. Calculate the highest common factor of 50 and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-8)\/112)\/(-4*15\/40).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2241a2 + 2?\nAnswer: -2241a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1212500 (base 8) to base 15\nAnswer: -68a80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 79*u - 512. What is l(-72)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-14)*-26)\/((-48)\/(-42))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/90)\/((-1656)\/(-3726)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13174291 at most 11.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1226412 by 408804.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*g - 1566 - 23 = -149*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 149674 and 12.\nAnswer: 898044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 92*k - 90*k - 3*i + 48, 5*k + 120 = -2*i. Let g be (0 + -3)*(-4)\/(-6). Let o be (k\/6 + 5)\/(g\/(-6)). Solve o*p = -p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -80417*v + 160830*v - 80412*v - v**2. Let x(g) = -304*g**2 + 380*g. Determine -x(c) + 380*y(c).\nAnswer: -76*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**5\/20 + v**4\/4 + v**3\/2 - v**2 - 4*v. Calculate o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (395 - 100 + 1)*((1 - 2*d - 1)*(-1 - 3 + 5) + 0*d - d + 2*d - 16 + 16 - 13*d) in the form q*d + z and give q.\nAnswer: -4144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -29, -49, 14 in ascending order.\nAnswer: -49, -29, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (120\/(-5) + 6)\/(6\/(-4)). Suppose 3*d + z = c, 21 = c + c - 3*d. Calculate the least common multiple of 24 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2049.9 + 2010. Which is smaller: y or 2\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 - (7 + 9\/(-2)). Let b(f) = -170*f - 133. What is the remainder when b(u) is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828 + 3196 = -215*s + 22729 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p + 46. Let s be z(7). Suppose -4*l + l + 5*b = -454, 3*b - 615 = -s*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101254727260 to the nearest 1000000.\nAnswer: 101255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*s**4 - 2*s**3 + 2*s**2 + 3 - 4 - 39*s**4 as d + q*s**3 + i*s**4 + a*s + n*s**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j. Let u be t(4). Let c = u + 59. Is (12\/c)\/(-12)*-2109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 3*v - v**3 + 1572*v**2 - 10 - 1566*v**2. Give u(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3990*x**3 + 10832.\nAnswer: 11970*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 3*i. Suppose i*b - 5*b + 271 = -4*o, 90 = 2*b + 3*o. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14 and 0.26?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxnxxxun. Give prob of picking 1 u and 1 x.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -573 = -4*f + f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65718775 is divided by 3547?\nAnswer: 3506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + 8*h. Let x be z(-3). Let g(a) = -30*a - x*a - 39*a + 87*a - a**2 - 12. What is g(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 + 129. Let y = s - -32. Solve 0*j = y*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106951919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*y + 9460, 5*y + 3*w - 5263 = 4197. List the prime factors of y.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrrraarrarmrrrrr. Give prob of picking 3 a.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1423a3 (base 14) to base 6\nAnswer: 22542043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -828 + 289 - 4*u**2 + u**2 to w*u + k + t*u**2 and give k.\nAnswer: -539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-5*(-1 + sqrt(931)*-1 + sqrt(931))*-6 + 1)*-6)**2.\nAnswer: 1153476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54 * 0.121.\nAnswer: -6.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 402150 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -173 + 184. Suppose o - x = -2*h, -5*o + 0*h = -5*h - 10. Solve -o*u + 0*p - 2*p = -2, 4*p + 22 = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124423 (base 5) to base 16.\nAnswer: -137c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 1 (c) -0.53 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(-1)\/(-15) + 110390\/1050. Let i be (l\/(-42)*(-104)\/10)\/2. Solve -3*r = v - i, v - 8 = -2*r - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3030153902 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 7 - (-60 - -54)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.04184482 + -352.\nAnswer: -333.95815518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 + 168*w**4 + 1764*w**3 = 0 for w.\nAnswer: -21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -11387 >= 0.0396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbaabf. Give prob of picking 1 t, 1 b, and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -14. Let c be (-20)\/g - (-2)\/(-4). Find the third derivative of 5 + j**c - 2*j**6 - 5 wrt j.\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6845538, 13691083, 20536628, 27382173, 34227718, 41073263?\nAnswer: 47918808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/3*(-198)\/(-10) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-252)\/(-21) - (-2 + 1). Let x(r) = 2*r - 26. Let p be x(s). What is the closest to p in 4\/3, -1\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63)\/14*2\/(-3). Let x(h) = -2 + q - 2*h + 2 + 0. What is the tens digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5\/6 - 7\/6. Let f be (-1 + 2)\/((-18)\/(-54)). Which is the smallest value? (a) f (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2349 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -377\nAnswer: -112\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**2 - 6*d. Let t(y) = 17*y**2 - 11*y - 2. Let g(k) = -17*k**2 + 11*k + 3. Let x(a) = -2*g(a) - 3*t(a). Determine -11*j(q) - 6*x(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -7)*(-1)\/(-2). Let n be (2\/p)\/((-5)\/(-50)). Solve -n*w - 15 = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14231, 56823, 127813, 227201, 354987, 511171?\nAnswer: 695753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*z, -2*a + a - z + 156008 = 0. Suppose 0*g = 3*b - 2*g - 155996, 2*g - a = -3*b. What is b rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, 114\/13, 0.2, -1010, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddn when three letters picked without replacement from {j: 2, n: 1, e: 6, d: 6, g: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 1:50 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 12*y. Let d be f(10). Suppose n - 25 = 3*q + d, 2*q = -4. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*k**3*x - 34*k**2*x**3 - 3*k*x**2 + 3*x**3 + 43*x**2 + 2 wrt k?\nAnswer: -516*k*x - 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -71? (a) -1\/7 (b) 50\/9 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 37 + 35. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.002\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/184977 and 71\/1664793.\nAnswer: 1664793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61407?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 2*l - 5*l. Let r(b) be the first derivative of -4*b**2 + 98. What is r(z(s))?\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*j**4 - 6\/17*j**3 - 6\/17*j**2 + 0 - 2\/17*j.\nAnswer: -2*j*(j + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c. Let t(j) = -11*j - 10. Give t(k) - 3*y(k).\nAnswer: -8*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 5369.\nAnswer: 48321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371188 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.333 in 4, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 61 = 4*l. List the prime factors of l.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.128041 + 0.128. What is q rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5822 + 544.2178. Let g = t - 545. Let x = -377 - -6411\/17. Which is the second biggest value? (a) -2\/3 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/270 and -54*(-4)\/112 + (1 - 4).\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = 17*n + 19*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 50 = 3*u, 3 = u + 2*l - 16. Let b = -12 + 12. Suppose -i + 32 = -b*i. Calculate the remainder when i is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*s - 4766 + 4764 - 135*s to the form c + k*s and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 9:06 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 126\/36*2\/(-14). What is the closest to 4 in j, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(24 + 7*m**4 - 24 + (-3*m + 2*m + 3*m)*(m + 2*m**3 - m)).\nAnswer: -22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -169 and -0.01.\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3786 divided by 3?\nAnswer: -1262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 0 + 4*s**2 - 1 - 2*s + s + 0. Let n(v) be the third derivative of -v**5\/12 + v**4\/12 + v**3\/3 - v**2. Let t = -2 + 4. Calculate t*n(r) + 3*z(r).\nAnswer: 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30912 is divided by 7726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 2, -130, -104, 11 in ascending order.\nAnswer: -130, -104, -1, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 256, 493, 730, 967?\n\"Answer: 237*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1\/7, -45, -4, 5.\nAnswer: -45, -16, -4, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-5) - 43\/(-60). Let r = 4\/17 + -133\/204. Let m = b + r. Put 2, m, 3 in descending order.\nAnswer: 3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 49, 8, -3\/5.\nAnswer: -3\/5, 0.4, 8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*r - 6, 4*r - 20 + 4 = 0. Let c(f) = f - 13. Let y be c(v). Let k(t) = t**2 + 2*t + 4. Calculate k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*1\/1*((-5)\/12)\/((-200)\/15).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 8:56 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + -53. Factor 2\/3*d**4 - 2\/3*d**2 - 2\/3*d**3 + h + 2\/3*d.\nAnswer: 2*d*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1918332809?\nAnswer: 1918332809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = 20. Let g = 1.06 - -85.94. Let n = g - 86.6. What is the second biggest value in r, 6, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 88\/(-55)*22215\/(-2). Suppose -2*p = -2*z + m, p - 19218 = -2*z - 1437. Let x = -2889 + z. What is x rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s + 3. Let u(g) = -g. Let h be u(-4). Let n(j) = -11*j + 5. Let x(b) = h*n(b) - 7*y(b). Determine x(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**4\/24 - z**3\/6 + 3*z**2. Let v be d(-4). Solve 3 = j + 2*l, -j - 2*l + 3 = -v*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3888*p + 950*p + 19786*p.\nAnswer: 16848*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) + (-298)\/1190. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-3\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 26*q - 1016. Let u = q + -23. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 4*k**2 + 2*k. Let y(c) = -c**2 + c. Calculate -o(m) + 5*y(m).\nAnswer: m**3 - m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/((d*((d**(-1\/6)*d)\/d)\/d)\/d))\/d)\/d**(-6))**(4\/35)*(d*d**(-2\/9))**48\/(d**(-6)*d**3) assuming d is positive.\nAnswer: d**(619\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejjxjjjx. Give prob of sequence ex.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5952021 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (172\/43)\/(234\/(-27))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 255624 and 479295.\nAnswer: 3834360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 136.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6060 is divided by 1059.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.47 + -1.47. Let s = 0.8 + -0.4. Which is the third smallest value? (a) s (b) -7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of -17*i**4\/24 + 5*i**3\/3 - i**2 - 18. Let d(w) be the second derivative of f(w). What is the derivative of d(b) wrt b?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 11. Let m = 0 - 0. Let r = -14 - -16. Solve v = -m*k + k - r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 23*t - 47*t + 425 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36731?\nAnswer: 23, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - r = 24 + 36, 0 = -2*v - 2*r + 48. Solve 0 = -29*q + v*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -1)\/(-30)*-2. Let l = 0.035 + 22.965. Let x = l + -18. Which is the nearest to 0? (a) y (b) x (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 s when four letters picked without replacement from kkksksknknkssk?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -981 + -1707. Does 10 divide ((-4)\/(-18) - v\/54)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -21. Let y be (-2)\/11 - q\/132. What is the nearest to 1\/2 in y, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8571, 17145, 25731, 34335, 42963?\n\"Answer: h**3 + 8567*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 less than 548\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111916986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) + 224\/(-3). Let k be (2\/(-3))\/(10\/f). Solve 2*s = 5*c + 10 + 4, 0 = 5*s - 5*c - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4225*q*r**3 + 2188*q*v**3 - 2*r**3*v**2 - 22*r**2*v - 810*r*v**3 + r*v**2 - 5*r wrt q?\nAnswer: -4225*r**3 + 2188*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0 - 1 = 0. Let v be 0\/4 + 4 + r. Let a be (4 + (5 - v))*1. Is 5 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y - 82. Let n be p(-11). Suppose 5*x = 4*r + 115, 2*r - 5*x = 7*r + 155. Put n, -1, r in ascending order.\nAnswer: r, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 206 - 203. Calculate the smallest common multiple of 22 and (780\/45)\/(1\/t).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 23286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*n**3 - 51*n**3 - 371*n**2 + 2401*n**2 + 12*n**3 to c*n + q*n**3 + r*n**2 + u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + o - 240 = 0, 5*f + 300 = -5*o. Suppose -7*v + 2*v = -1000. Let a = f + v. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -3 (c) 2 (d) 5 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1782 = 34*k - 196*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b - 47*b + 1040 = -25*b for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**3 + x**2 + 4*x + 3. Let q(k) = k**3 - k. Let r(f) = -4*q(f) - u(f). Let s be r(-2). What is the nearest to s in 1\/7, 0.5, 17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -141 by 172.\nAnswer: -141\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-4) - -1) + -2. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*s - 0*a + 10, 3*a = 3. Calculate the remainder when (-3)\/(3\/20*-2) is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 134.9\nAnswer: -5.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(288) - (4 + sqrt(2)*2))**2.\nAnswer: -60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 7. Let k be f(-5). Suppose -k*s = 5*v - 233 + 23, v + 2*s = 42. Calculate the remainder when v\/3 + (-3)\/(-1) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.29 + 1.29. Let m = -3394 - -3390. Sort 2\/7, o, m, -134.\nAnswer: -134, m, o, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4 (c) -1\/10 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(4 - 1)*(6 + 5). Suppose -2*n + 95 = -k. Calculate the greatest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 257 - 85 = 0. Suppose -4*o = 3*h - v, 0 = -2*o - h - 19 + 106. Suppose 4*c = o + 15. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 0. Suppose -o + 2*o + 5*k - 128 = 0, -2*o - 5*k = -231. Let x = -100 + o. Solve 0 = -5*b + x*b - 8, a = 5*d + b + 24 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2*k**7\/21 - 2*k**6\/5 + 3*k**5\/5 - k**4\/3 - 18*k + 9. Let t(x) be the first derivative of q(x). Determine d so that t(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(363) + -2)*-3)**2 + (-1*sqrt(108) - sqrt(96)\/sqrt(2))).\nAnswer: -3303 + 406*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402\/4*(3576\/36)\/(-149).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 2*r**2 - 3*r + 4. Let j be q(3). Suppose -d - 21 = 5*w, j - 6 = 2*d + 2*w. Sort d, 0, -5 in increasing order.\nAnswer: -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2\/3 (c) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172748 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.9 + -7.5. Let o = -12.4 + 36.4. What is the nearest to o in s, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402666 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -8.8.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1. Suppose 3*n - 2390 = -7*n. Let r = -238 + n. Let x(p) = -p + 2. Calculate r*u(i) + x(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 543830254?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 7:54 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68*n + 55028 + 533*n - 55026)*(2*n**2 - n**2 + 0*n**2).\nAnswer: 465*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*s - 142*s - 142*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**3\/15 - 2*p\/5 + 20. Let q(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16885 + 4?\nAnswer: 16889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 7. Let b be h(7). Let x = -229.5 + 229. What is the closest to b in x, 3, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evv when three letters picked without replacement from {e: 9, v: 7, r: 3}.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 34*r. Let z(a) = 16*a. Let h(j) = -2*u(j) + 5*z(j). Let y(b) = -12*b. What is h(y(g))?\nAnswer: -144*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*g - 1333, g - 414 + 79 = 3*o. Let k = g + -289. What is the remainder when 166 is divided by k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1351, -3561, -8473, -13385?\nAnswer: -18297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + -5*(5*2*sqrt(539) + -1 - 2*(2 + sqrt(539))*1))**2.\nAnswer: -16240*sqrt(11) + 863240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**3\/3 - 18*o. Let a be m(1). Solve -a*y = 4, 4*z - y + 4 - 2 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -73\/8824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*v - 8 = 0. Solve -2*r - 2*k = -0*r + 2, r - v = -4*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19359 and 1633365.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + sqrt(147) + -5 + -3*(sqrt(12) + 0))**2.\nAnswer: -14*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -100526 in descending order.\nAnswer: 6, 1, -100526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 7 + 4 + 8 - 5*m. Let r(s) = 5*s - 8. Determine -8*h(v) - 5*r(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2. Suppose 0 = -13*y + 8*y + 35. Let i(a) = -2*a**2. Give y*i(c) - 6*b(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52053.\nAnswer: 3, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 3. Let j(a) = 2*a - 8. Let i = -55 - -32. Let t = -22 - i. Let o be t + -13 + (12 - 8). Calculate o*m(s) - 3*j(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehqh when four letters picked without replacement from eeeeeeheeqqeeeeehee?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -10. Suppose -3*n + 3*c = -33, 5*c = n - 9 - 6. Calculate the lowest common multiple of n and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 200?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/46, 13, 1\/3 in decreasing order.\nAnswer: 13, 1\/3, 3\/46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/((-1)\/(21\/(-6))). Let v = -0.5 + 0. Which is the second biggest value? (a) s (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 278 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - 31 - (11 + (0 - -15)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 18*f - 12. Calculate y(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 112 - (22\/(-33)*-2)\/((-8)\/(-18)). Solve 13*c - v = -31 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 912 = -3*x, 0 = 5*x - 4*l - 1334 - 231. Suppose x = f + 99. What is the highest common factor of f and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5702 and 2498?\nAnswer: 7121798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1042*s*t**2 + s + 2*t**4 - t**3 - 4904*t wrt t.\nAnswer: 2084*s + 24*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0*m + 3*m)*(-29 - 4 - 14)*(7 - 7 - 5*m) - m**2 + m**2 + 3*m**2.\nAnswer: 473*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*6*(sqrt(1584) + 1) - ((4*(sqrt(11) - sqrt(11)*1) - ((sqrt(11) - (sqrt(121)*2)\/sqrt(11)) + sqrt(11))) + 3)) + -4)**2*-3.\nAnswer: -4278387 - 49680*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/80 and -103\/44.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176 - -247. What is the third derivative of 4*h**2 + m*h**6 + 44*h**2 - 16*h**6 + 18*h**6 wrt h?\nAnswer: 8760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 3*g, -4*j + 8 = -3*g - 3. Let i(c) = 22*c - 7*c**j - 22*c. Let s(v) = -67 - 67 - 3*v + 134. Calculate s(i(l)).\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6092 minus -0.9310554929?\nAnswer: 6092.9310554929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**3\/5 + 578*q**2\/5 - 10512*q\/5 + 2592\/5.\nAnswer: -2*(q - 36)**2*(4*q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Solve 3*h + c - 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51299610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -280536 divided by -11689\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -43100153 (base 6) to base 14\nAnswer: -24dd1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -13340000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**4\/15 - 46*n**3\/15 + 286*n**2\/15 - 242*n\/15 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1426192, -1426187, -1426170, -1426135, -1426076, -1425987?\nAnswer: -1425862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -5. Let r = 141 - 149.9. Let n = 9 + r. Sort l, -1\/2, n in descending order.\nAnswer: l, n, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 508, 1007, 1496, 1969, 2420, 2843, 3232, 3581?\n\"Answer: -d**3 + d**2 + 503*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 4:37 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -659 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 949*n - 8*n**2 - 949*n.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 4 + 14 + 3*u**2.\nAnswer: 3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 7699.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 11 - 795*q - 30 + 7 in the form g + b*q and give b.\nAnswer: -795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n**3 + 3*n**3 + 1968*n - n**2 - 2 - 1971*n as z*n**3 + u*n**2 + l*n + j and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 38. Suppose -3*s - 4*w + 448 = 0, -k*w + 144 + 160 = 2*s. Suppose 0 = -5*x + 3*y + 200 + s, 0 = x - y - 70. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*m + 1098 - 128 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 1 = 2*s, 5*o - 4 = -7*s + 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -68*k**3 - 338*k**2 + 8*k - 14. Determine t(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - h - h = 7, -a - 3*h + 17 = 0. Suppose 5*s - a = -1. Suppose t + s*o + 9 = 6*t, -3*t - 4*o - 5 = 0. Solve 0 = 4*b - t - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, r: 9}. Give prob of sequence rrrr.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, e: 6, a: 2}. What is prob of picking 1 u, 2 e, and 1 a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {h: 3, w: 7, i: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 6:12 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2*d + 82, a - 15273*d + 16 = -15274*d for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -909 divided by -5\nAnswer: 909\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -10\/197, 0.4, 2, 13, -16?\nAnswer: -10\/197","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303497 is divided by 23699.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 12225 + 6635. Suppose 0 = 8*r + 180 - c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 8 + -15 - 18 - (-9 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0, 1.2, -32.4, -122?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(63)\/sqrt(3)*-4 + sqrt(21) + 2*sqrt(1029))\/(-2*((sqrt(3) - sqrt(9)\/sqrt(3)) + sqrt(3)) - (sqrt(108)\/sqrt(4))\/sqrt(9)))**2 + 2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6 and -6719.8.\nAnswer: -4031.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4211 - 4207. What is the smallest common multiple of w and 11600?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 64*z - 1. Suppose 4*l - 3 = -2*a + 3*a, 5*l = -5*a - 65. Let k = a + 12. Let o be t(k). What is the highest common factor of 7 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -105\/82?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -1 + 5. Let w be (1\/(-28))\/(13\/(-156)). Find d, given that 0 + 3\/7*d + w*d**n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -23. Solve -c = 2*q + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**5\/120 - n**3\/2 + n. Let o(z) be the second derivative of k(z). Let p(c) = 7*c**2. Determine p(o(w)).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350 (base 8) in base 9?\nAnswer: 3742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 135, 224, 333, 468, 635?\nAnswer: 840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 5, -0.2, 30316, -6, -4\/7 in increasing order.\nAnswer: -6, -4\/7, -1\/2, -0.2, 5, 30316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.8, -66718, -2\/3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*d - 7*d + 6*d to the form x + u*d and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5 - 1. Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -283\/23?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fyywfpeo. What is prob of picking 1 e, 1 p, 1 w, and 1 o?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2344 - (2 - 0 - (18 + -12))?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -82083.\nAnswer: 82083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (18 + 2 - 2)\/(6\/4). Solve -19 = k*a - 55 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25068, 50133, 75198, 100263, 125328, 150393?\n\"Answer: 25065*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7945.\nAnswer: 5, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let d be (l - -3) + 61*49. Suppose 4*o + 3*k - 5999 + 1993 = 0, 3*o = 5*k + d. Round o to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298967.34 hours in weeks?\nAnswer: 1779.5675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5748*d**3 + 5812*d**3 - 11639*d**3.\nAnswer: -79*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 135289*z**3 + 3*z + 94*z**4 + 135289*z**3 to the form t*z**4 + b + n*z**3 + p*z**2 + r*z and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*q + 172 = 0, -2*y + 2*q + 2*q = -86. Let a be y - (3 + -2 + -2). What is the units digit of 0 + 0 - (4 - a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5284\/19 - -278. Suppose 10 = -r + 5. What is the closest to 1 in g, r, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -776 - -10?\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 2*k + 10. Let g = 287 + -283. Let c(l) = -l**3 + 3*l**2 - l + 3. Let j be c(3). Solve -g*i = j, k*m = -i + 8 + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3*6\/(-10). Suppose -56 = -2*i + 4*b, 3*i - 4*b - 22 - 64 = 0. Let o be (1\/(-9))\/((-5)\/i). What is the nearest to o in -3, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 12:16 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667042 and 5910?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f**1\/f)\/f*f*f*f)**(-2\/9))**23\/((f\/(((f*f**(1\/2)*f*f)\/f)\/f)*f*f*f*f)**(-34)*(f*f**1)**(-21\/2)) assuming f is positive.\nAnswer: f**(1030\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 494984 divided by 7\nAnswer: 70712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -42*a**2 + 2*a - 7 - 33*a**2 + 74*a**2. Let u be k(-6). What are the prime factors of (-5600)\/u + (-2)\/(-11)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 14) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-4 + 41\/10). Put 5, 2\/11, y, 2 in ascending order.\nAnswer: 2\/11, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**8\/336 - z**6\/30 + 41*z**5\/30 - 112*z**2. Find the third derivative of p(h) wrt h.\nAnswer: -60*h**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r. Let s(b) be the first derivative of -13*b**4\/12 - 17*b**2 - 4*b - 198. Let u(g) be the second derivative of s(g). Give x(u(j)).\nAnswer: 208*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26)\/22 + 6\/33)*-2. Suppose 14 = 3*b + j - 0, -o*b - j = -9. Is (b - -1)\/(16\/56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 10 = -11*u. Which is the nearest to 1\/4? (a) u (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 3*r**8\/112 + r**4\/12 - 8*r**2 + 7*r. Let g(y) be the first derivative of c(y). What is the second derivative of g(p) wrt p?\nAnswer: 180*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 + -2)\/2)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 16*l**2 + 89*l - 17. What is the tens digit of f(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 + k**4 + k**4 + 5 - 5 - 3*k**4 + (-2*k**3 + k**3 - k**3)*(k - 1 + 1).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -498912.3 + 44?\nAnswer: -498868.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709 >= 9701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1313 + 22328\/17. Is -1 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4 - 140757*b**3 - 2500799*b**2 wrt b?\nAnswer: 48*b - 844542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b*k**3*p**3 - 15*b*k**3 - b*k**2 - b - 3*k**3*p**2 + 17*k**2*p**3 + 2*k**2 + 42*k*p**3 wrt k?\nAnswer: 42*b*p**3 - 90*b - 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.13 - -3.13. Let j = -7 + m. Which is the nearest to 2\/3? (a) 5 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12087 + 22732. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 4*l - 295 = -2*v, 0 = 3*v - 2*l + 177. Let r be 635\/(-3 - v\/20). Round r to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = u + 10, u - 3*u = -b + 15. Let r(f) = -f**2 - 9*f - 9. Let g be r(u). Let m = 0.06 + -2.06. What is the third smallest value in m, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/265 - 548\/2385. Which is the nearest to -0.4? (a) 1\/2 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -19, 17, -186, 4, 3 in increasing order.\nAnswer: -186, -19, 1, 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + q + 12. Suppose 9 + 0 = -q*s. What is the least common multiple of 30 and 130\/30 - (-1)\/s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 280 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 2*a - 3*a)*(a + 3 - 3)*(-29*a**2 + 45*a**2 + 34*a**2).\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 6. Let a(c) = 3*c + 5. Let k(g) = 6*a(g) + 5*h(g). Let w be k(1). Suppose 0 = -2*r + w*r - 6. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*q - 264 - 357 + 55 = 0. Solve 794\/19*n**q + 72*n + 648\/19 + 2\/19*n**4 + 4*n**3 = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = f + 19, -6*f + 16 = -2*f. Which is greater: j or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n + 196 = -228 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 4 + 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + 0 + (3 + 0 + sqrt(162) - sqrt(162) - (-2*sqrt(162) + 3))**2).\nAnswer: 3225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*d - 10, 2*p - 3*d = 19. What is the second derivative of 3*a + 27*a**p + 0*a - 13*a**2 - 6*a wrt a?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 = -1. Let r be (1*489)\/(42\/56). Suppose r = o*x + 2*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/182068 and -89\/5796?\nAnswer: 11470284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893438*s**2 - 33 - 6*s + 0*s + 6*s - 893443*s**2.\nAnswer: -5*s**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {u: 1, r: 1, f: 3, e: 4, w: 8}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 472*g + 1. Let v(h) = h. Calculate v(z(p)).\nAnswer: -2*p**2 - 472*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 1. Let o(v) = -19*v**2 - 6. Let z(g) = o(g) - 2*r(g). Differentiate z(j) with respect to j.\nAnswer: -42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -58*x**2. Let s(m) = -m**2 + 5*m. Let v(l) = -132*l**2 + 20*l. Let j(p) = 4*s(p) - v(p). Determine j(h(o)).\nAnswer: 430592*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55327.\nAnswer: 61, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = 4*d - 18, -3*h = -2*d + 19. Suppose 5*f - 7 = y, 4 = 3*f - 2. Let w(n) = -y*n**2 + 3*n**d + 6*n**2. Let b(z) = -2*z**2. What is b(w(i))?\nAnswer: -72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 11*v + 4. Let g be d(11). Suppose p + 5*o - 277 = 0, g*p + 4*o - 1078 = -o. Let m = -111 + p. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 72499.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (400\/(-40))\/(20\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -75, -89, 1, -87 in increasing order.\nAnswer: -89, -87, -75, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -563, 4, -5 in ascending order.\nAnswer: -563, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 2:36 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295 = -29*i + 824 + 418 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*5\/(-60))\/(1\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/(-13) + (-30)\/(-6))*((-6)\/(-25))\/2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 2.9 (c) 188.01 (d) 0.7 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44197 - -44197. Let o(i) be the third derivative of i**4\/24 - 13*i**3\/6 + i**2. What is o(m)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135819165.\nAnswer: 3, 5, 241, 37571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 12:20 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-12)*6\/9*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -140\/29 and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -63\/8, -2\/9, 23, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.01 - 6. Let u = x + -0.11. Let y = -179 - -182. What is the closest to 1\/3 in -0.02, y, u?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 48. Let u = 65 + -15. Suppose -q = 2*n - u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1248\/36*(5805\/(-10))\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17942 is divided by 3588.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/(j*j**(-1\/21)) assuming j is positive.\nAnswer: j**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c**3 + 8*c**2 + 12*c + 4*c**5 + 5 - 8 - 5 = 0 for c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 20*t**2 + 21*t + 64. Let s be l(19). Let c be (-1)\/(-3) - (-11 + 1172\/s). Is c > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 13. Calculate u(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*j - 176*j + 227 = -29 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 547223.7 millilitres in litres?\nAnswer: 547.2237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5342650.11 seconds to weeks.\nAnswer: 8.833746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 + 3. Let z = 13 - 22. Let s(i) = -2*i**2 + 7. Let o(f) = z*d(f) + 4*s(f). What are the prime factors of o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y + 25. Give t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2114 plus 17.53278?\nAnswer: 17.74418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/3 - 99\/22)*-24. Calculate the highest common divisor of 16 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, d: 1, b: 1, z: 1, w: 2}. Give prob of picking 1 d and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 150 + -134 - (10 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 + -69. Let d = -14 + 13.9. Is d >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 8. Let q(p) = 2*p + 12. Let y(x) = x + 6. Let m(j) = -3*q(j) + 7*y(j). What is the units digit of m(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8*(0 - -24). Let b be (-1 - 1)\/(8\/g). Suppose 26 + 10 = b*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 8*x**2 + 11*x - 4. Let w = -4 + 26. Calculate the smallest common multiple of w and o(9).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y - 3 + 3)*(2 - 3*y**3 - 2) - 5*y**4 + 5*y**4 + y**4)*(-3*y - y + 3*y).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -0.06 (c) 0.11 (d) 0.4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48994 and 2992.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103928419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 484228605 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353 divided by -277.\nAnswer: -353\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22228, 44369, 66508, 88645, 110780?\n\"Answer: -n**2 + 22144*n + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/(-51) - 44\/(-6). Suppose 0 = t + 4*t - h*t. Let c(b) = t*b - b**3 + 5*b + 2*b**3 + 6 - 6*b + b**2. What is c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 100 - 172. Let n(k) be the third derivative of -k**6\/120 - 3*k**5\/20 - k**4\/24 - k**3 - 7*k**2. What is n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrkcrrppppypppr. What is prob of picking 1 r and 3 p?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423302 - -101?\nAnswer: 423403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10836 + 1890 = -3*t. Let r be 1 + (-3 - t\/(-4)). Let b = -782 + r. Find the common denominator of b and 53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3139 - 3205.67. Let j = -56 - t. Let m = j - 0.67. What is the closest to -2 in 3, 3\/2, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 7*z**2 + 10*z + 72. Let s be t(9). Solve s = -0*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28388081507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9377*w - 4688*w - 4678*w + 285 = -650 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 500.131 + -501. What is i rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13.1 - -10. Let r = 1.1 + q. Let z = 2 + -1.8. Put 1, z, r in increasing order.\nAnswer: r, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16696385?\nAnswer: 5, 1567, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 174299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 12*d**2 + d + 12. Let i(o) = 2*o**3 + 25*o**2 + o + 25. Let b(u) = 13*c(u) - 6*i(u). Suppose -3*t - 34*x + 33*x = 19, t = x - 1. Give b(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**6*q**0\/q)\/((((q**(-1)\/q)\/q*q)\/q)\/q*q**(-2\/13)\/q))\/(((q\/(q**0*q))\/(q*q**(-2)))\/(q\/q**(1\/3))**(-12\/5)) assuming q is positive.\nAnswer: q**(-224\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10176950?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/7 - 590*m\/7 - 2365500\/7.\nAnswer: 2*(m - 1245)*(m + 950)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.25876 rounded to two decimal places?\nAnswer: 3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1312.259933877 - -1312.26. Round c to six dps.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 16*p**4 + 3*p**3 + 3*p**2 + 3*p + 35. Let c(o) = 47*o**4 + 8*o**3 + 8*o**2 + 8*o + 105. Let g(b) = 3*c(b) - 8*d(b). Differentiate g(u) wrt u.\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.24 - -162.24. Let d = 174 - n. Which is greater: d or -10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6562 + -6558. Solve -m*t + 0*h + 1 = -5*h, 19 = t + 5*h for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - 15. Let l = b - 14. Suppose x - 17 = -3*c - 29, 2*c = -x - 11. Which is greater: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 - 93*g**3 + 198*g**2.\nAnswer: -3*g**2*(g - 2)*(g + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 12\/25 of a meter?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a century in months?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4 + 3)*6 - -6) + 0. Solve m = -4*i - 2*w - 13 + 3, 0 = 4*i - 2*w - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*o = 84*o + 76400000. Round o to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-33)*(-6)\/25?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17166834 from 0.1.\nAnswer: 17166834.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2071084 and 4265.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*c - 12, 0 = c + 4*c. Suppose 0 = p*d + 2*d - 35. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9010 is divided by 2242?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = -0 - 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4813, 4878, 4943?\nAnswer: 5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 15) + (6 - 1) + 10 + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 342083 - 168420. Let i(c) = 1552148*c + q*c + 24189*c. Let l be i(-8). Round l to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Let l be 2\/(-2) - -4 - (-21)\/(-3). Let o be 42\/56 + (-1 - 5\/l). What is the second smallest value in -1\/9, o, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 133383.\nAnswer: -18\/44461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -294 or -273?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -7. Let y(n) = 18*n**3 + 1 - 22*n**3 - 25*n**3. Let z be y(k). Solve -3*t - z = 3*r, -t + 0*r = 5*r + 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/12240 and -197\/4124880.\nAnswer: 4124880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-135)*24*45\/6. Suppose 0 = -3*a - 3, -146 = h - 3*h - 4*a. What is the greatest common divisor of s and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -4\/697?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1188\/(-550))\/(-27))\/((-2)\/10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1090*i**2 + 9*i**3 - 13*i**3 - 631*i**2 + 2 - 25*i**2 + 5*i**3 in the form c + b*i**2 + q*i**3 + x*i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*j + 16 = 244*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8539, -34154, -76843, -136606, -213443?\nAnswer: -307354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2551500 divided by -85050.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1451072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**3\/3 - 3*j**2\/2 - 3*j. Let y be 0\/(-4) + 29 + -7. Suppose -17 = -y*i + 49. Let m(h) = -4*h - 5. What is i*m(l) - 5*q(l)?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2114\/116003?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1125*d - 1859*d + 2*d**2 - 1955*d + 2036162 + 903*d.\nAnswer: 2*(d - 1009)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d**3 + 98*d**3 - 47*d**3 - 46*d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 123.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 173, 697, 1571, 2795, 4369, 6293?\n\"Answer: 175*k**2 - k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -238747 * -1.91\nAnswer: 456006.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 68*s - 1026. Is 11 a factor of r(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5 + 1500*c**4 + 153951*c**3 - 173526*c**2 - 1865880*c = 0 for c.\nAnswer: -355, -146, -3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -23. Is x at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -16, -7991.\nAnswer: -7991, -16, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5718650?\nAnswer: 2, 5, 7, 16339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.08 - -1.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 97 = 8*h - 33 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -311.5721?\nAnswer: 124.62884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*i = 583, -3*i + 1451 = -2*a + 246. Let m = a - -889. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318510937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 119700919099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b + 37*b - 50*b.\nAnswer: -58*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49873*r + 20598?\nAnswer: -49873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Let l = -2.1 + 2. Let j = 0.1 - l. Which is the biggest value? (a) j (b) 4\/5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + 8. Let m(g) = g**2 - 9*g + 7. Let c be m(6). Let r = t + c. What is the remainder when 36 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, m: 4}. Give prob of sequence mppm.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3, 0 = 4*t + 5*k + 16 - 91. What is the greatest common divisor of 30 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -159 + 150.3. Round j to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52703 - 18965. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7476 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4202 divided by -382\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g**3 - g**2 - 3*g + 2. Determine b(-2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 75. Solve -d = q - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 23 = -5*h. Let x = 4 - h. Suppose -4*w + 2*z = 5*z + 11, -x = 5*w + 5*z. Solve 3 = -v + w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = 0, 0 = 4*p + 3*t - 3113 - 1772. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032020 - -1?\nAnswer: 1032021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a**2 + 96*a**2 + 143*a**3 - 279*a**3 + 135*a**3 + 4*a**2.\nAnswer: -a**3 + 118*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -16*v - 16. What is h(-5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = f - 2*f + 4, -2*f = -3*d + 20. Suppose -2*q - 204 = -5*q. Suppose q = d*o - 40. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 11:41 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -894672 by 2052.\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f. Let z(i) = -3*i. Let w(m) = 5*h(m) - 2*z(m). Let v be 4\/(-16) + (-9)\/(-4). Let k(x) = -8*x + 4 - 4 - 4*x**2 + 2*x**v. Calculate k(q) + 8*w(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8060 and 930?\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 2}. Give prob of picking 1 y and 1 p.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-240)\/1557*(-3)\/2 and 100\/5 - 176\/33.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -34\/3779, 6, -2?\nAnswer: -34\/3779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(425) - (1 + (sqrt(425)*2 - sqrt(425))))**2 - (-1*(sqrt(425) + 5 + sqrt(425) + 0))**2) + -3.\nAnswer: -1730 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0 (c) 1\/5 (d) 0.1 (e) 0.0753 (f) 0.11 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + 4*l + 2*l**4 + (-4 + 4 + 1)*(-l**4 + 3*l**4 + l**4) - 8*l**4 + 10*l**3 - 10*l**3 - 6 - 2*l**4 - 3*l**4 + 2.\nAnswer: -8*l**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 247*c**2 - 1740*c + 36. Determine t(7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1888*a + 421. List the prime factors of j(-3).\nAnswer: 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -43. Solve 4*p = -f - 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*c - 5, z - 2*z = -4*c - 14. Factor -20*d**2 - 33*d + 6*d + 33 - 39 - 16*d**z - 12*d**3.\nAnswer: -3*(d + 2)*(2*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1823 = 20*i - 177. What is the highest common factor of 11450 and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 780, -3, -6, -12, 5.\nAnswer: -12, -6, -3, 5, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 x when three letters picked without replacement from {k: 1, d: 1, x: 1, o: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30, -335, 5, 299, 2 in descending order.\nAnswer: 299, 5, 2, -5, -30, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 5*i - 21 = 0, 12*o + 3*i = -0*o - 51 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -133*d + 3. Let j(k) = 5*k. Determine j(f(a)).\nAnswer: -665*a + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c + 7. Let q = 1764 - 1759. Let t(z) = 2*z - 6. Give q*r(u) + 6*t(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12989 + 12989 + 5*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 170.6976 milligrams?\nAnswer: 170697600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3. Let s be k(-1). Let w be (-6)\/(-14)*(-2)\/3. Let n = -20\/81 - -47\/81. Which is the closest to s? (a) w (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/1)\/((-32)\/(-16)*(11\/11)\/(-4))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 2 - ((-3168)\/(-81))\/22. What is the nearest to 0.3 in x, 2, -1, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**2 - 7*l**2 + 3*l + 5*l**2 + 3*l**3 in the form d*l + x*l**3 + m + v*l**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1714 - -1718. Put 2\/115, h, -3 in decreasing order.\nAnswer: h, 2\/115, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0. Suppose 0 = 11*u - 10*u - 2. Solve 0*j - u = -c*j, 10 = -3*b - 5*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.7533 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1 (b) 5 (c) 10366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + s**3 + 0*s**3 + (s**2 + 2*s**2 - 4*s**2)*(-s + 0*s + 4*s) + 0*s**2 + s**3 + 0*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, 1796, 5331, 11998, 22829, 38856?\nAnswer: 61111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*f**2 + (3*f + 0*f - 2*f)*(0 - 2*f + 0) - 34*f**2 - 27*f**2 - 12*f**2.\nAnswer: -77*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y**2 - 70*y + 70*y)*(15 - 3 + 0 + (0 - 4 + 3)*(-2 + 0 + 1)).\nAnswer: 117*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 62*v**2 + 127*v + 64.\nAnswer: -(v - 64)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93585090.\nAnswer: 2, 3, 5, 131, 23813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(108) + -1 + sqrt(108)) + 1*sqrt(363)*4 + 4)**2*2.\nAnswer: 50784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i - 13. Let y(x) = -7*x + 6. Let b(w) = -6*j(w) - 13*y(w). Let v(h) = -2*h**2 - 457*h. What is v(b(r))?\nAnswer: -2*r**2 - 457*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a - 3. Let c be r(0). Let q(b) be the first derivative of b**4\/4 + 2*b**3\/3 - b**2\/2 + b - 5. What is q(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1724)\/4310)\/(21\/160) - ((-2)\/3)\/(-1).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3453 (base 6) in base 13?\nAnswer: -4b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 11, 55, 113, 185?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 + 3*r + 6. Let c(a) = -10*a**3 - 10*a - 19. What is -4*c(i) - 14*z(i)?\nAnswer: -2*i**3 - 2*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/375376 and 67\/88?\nAnswer: 4129136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51 and 406365?\nAnswer: 6908205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -12 (c) -2\/37 (d) -79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 0 - 1336872\/(-26275)\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40c (base 13) to base 3.\nAnswer: 221111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 - 809*z**2 + 4188*z - 98. Calculate c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-24 + 6*z**2 + 24)*(-2 + 4 - 3) + (-1 + 2*z + 1)*(0*z - 3*z + 6*z) + z**2 + 2*z**2 - 5*z**2)*(0 + z + 0).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*sqrt(14)\/(2*sqrt(2)*4).\nAnswer: -5*sqrt(7)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -240 + 441. Suppose a = 6*v + 9. What is the remainder when v is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 56 = -2*i. Is i at most as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h - 28. Let f be s(-5). Suppose -3*g + 2*g + 4*r + 2747 = 0, -f*g + 5549 = 3*r. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**0)**37\/(((g\/g**(-9))\/g)\/g*g\/(g\/g**(-8))) assuming g is positive.\nAnswer: g**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-202)\/70 - -3)\/((-98)\/(-9555)*117)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, -0.3, -3, -1\/26389?\nAnswer: -1\/26389","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -83*y**2 + 0 + 0*y + 1\/2*y**3 = 0.\nAnswer: 0, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81914242, 163828485, 245742728, 327656971?\n\"Answer: 81914243*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12077 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 d when three letters picked without replacement from {b: 3, d: 2, s: 3, a: 2, c: 5}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + -116.2. Let u = -6 - -6.4. Suppose -4 = 33*q - 32*q. What is the fourth biggest value in u, x, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, 33, -1093, -2 in decreasing order.\nAnswer: 33, 5, -2, -12, -1093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(133)\/(sqrt(7) + (sqrt(252) - sqrt(7))*-3))**2.\nAnswer: 76\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -k - 5*x, 3*k - 49*x - 7 = -54*x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4 + 4. Let v(a) = 6*a**3 + 4*a**2 + a - 2. Let o be v(r). Suppose -3*g - o = -8*g + 5*z, 4*z + 445 = 5*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = y + 343, -2*y = 3*s + 514. Let p = s - -205. Calculate the remainder when 97 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwdwwaadwa. Give prob of picking 2 d.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*k - 75*k + 331*k to v + l*k and give l.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 92 and 4188.\nAnswer: 96324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 713895097 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and (-3741)\/(-116) + 2\/(-8)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1173 = -2*k - p, 4*k - 2698 = 3*p - 347. Suppose 0*j = j + 2*w - 115, -4*w = 5*j - k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k. Let p(l) = -90*l**2. Give p(n(m)).\nAnswer: -810*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1191 (base 10) to base 9.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 217478*m**2 - 27410166*m - 863503578.\nAnswer: 2*(m - 326343)*(m + 63)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 3. Let d be y(0). Let i be d\/(4\/(12\/(-15))). Let w = i - 1\/10. What is the closest to w in 1\/2, -4, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -87*z + 775. Give r(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.96 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + (sqrt(102) + sqrt(102) + (sqrt(102) - 2*sqrt(102)) + sqrt(102) - sqrt(102)))*5)\/(3*sqrt(96)) - -2*(sqrt(17) + -1 + 4 + -4))**2 + -2.\nAnswer: -34*sqrt(17)\/3 + 4985\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -35. What is the smallest value in -2\/3, -1\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b. Let k(r) = 3*r + 4. Let z be k(4). Let q(w) = -28*w. Let c(o) = z*m(o) - 5*q(o). Let d(n) = n**2. Calculate c(d(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 15*d**7\/7 - 2*d**5\/5 + 446*d**3\/3 - 232. What is the third derivative of b(u) wrt u?\nAnswer: 1800*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -3b6?\nAnswer: -3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 357, 712, 1307, 2142, 3217?\n\"Answer: 120*d**2 - 5*d + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-9) - 136\/6. Let g = 38 + j. Suppose -2*l = l - g. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 20 - 4 = 0. Find the second derivative of -4*z**4 + 8*z**4 + 5*z**n - 26*z + 9*z wrt z.\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 758962008.\nAnswer: 758962008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 9349*r - 243039. Determine x(26).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -52. Let x(q) = q**3 - q**2 + 4*q + 2. Let h be x(y). Solve h + 0 = -g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**2 - 13 + 4 + 4*r**2 - 13*r + 3*r**2 + 4*r. Let p be h(-7). Solve 3*f + p*i - 17 = 0, -8*i = -3*i - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*x = -23, 4*x = 2*c - 4*c - 18 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:02 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 3*c - 15.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 1956.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31779 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -33 + 13. Is 4 + -8*z\/8 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.29205769 rounded to 3 dps?\nAnswer: -56.292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*l + 61*l - 15690 - 1426 = -736 for l.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 155*6.5\nAnswer: 1007.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpevi. What is prob of picking 1 q, 1 v, and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -167*u*x**2 - u*x + 2648*u + 4*x**2 wrt x.\nAnswer: -334*u*x - u + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-469)\/14)\/(2\/(-8)). Let t be 2 - 7 - -3 - d. List the prime factors of 6\/15 - t\/10.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/17 - ((-2)\/8)\/(133\/532).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 7) to base 5\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 11:01 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2264*d + 12. List the prime factors of a(-1).\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143723900?\nAnswer: 2, 5, 1437239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-29)\/(-5) + 36\/(-45). Let h = 35 - j. What is the highest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-11) + 493284\/17908. Suppose 6*p - 28 = 5*p. Calculate the greatest common factor of z and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 5. Calculate the highest common divisor of v and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7135148 is divided by 276?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -47*m**3 + m**2 + m + 1. Let u be w(-1). Suppose 3*t - 66 - u = 0. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 2*a + 111921*a**4 - 7*a**3 - 111944*a**4 as u*a**3 + s*a**4 + i*a**2 + f*a + m and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 7*n**3\/3 - n**2\/2 + n + 3. Let j be 4\/(-6)*9\/(-6). What is w(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -u. Suppose 0 = -6*m + 2*m + 8. Suppose 3*h - 2 = m*d, -2*h = d - 0*h - 13. Calculate the remainder when d is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 5 - ((3 - 1) + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -16*o - 1339. Determine l(-83).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -37. Let u be 7\/28 + 265\/(-20) + 4. Let b = u - j. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*u - 12 = -189*u. Suppose -3*a + 8 = -a, 4*o - a - u = 0. Let d be -3*(-2)\/(-6)*5. Put d, o, -2 in descending order.\nAnswer: o, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - -1. Suppose -3*f = -2 - t. Suppose -3 = -f*l + 492. Calculate the greatest common factor of 11 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -40. Which is the nearest to 2\/15? (a) -1\/4 (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6573 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(sqrt(153) + 1 + -2*sqrt(153))**2 + -4 + -5).\nAnswer: -761 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 + 508 = 5*q. Let l = q + -707\/5. What is the nearest to 2 in 3\/5, -2\/7, l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -605.\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174830 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -386 - -319. Let z = n - -376. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.32, 3, -3\/5, 2 in increasing order.\nAnswer: -3\/5, 0.32, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/13? (a) -2\/37 (b) 0.1 (c) 25 (d) -2 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 105487, 210926, 316365?\n\"Answer: 105439*c + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3973*j**3 + 122*j**2 - 290*j**2 + 168*j**2 + (-5*j + 2*j + 2*j)*(-j**2 - 5*j + 5*j).\nAnswer: -3972*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by -158961\nAnswer: -335\/158961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.002 in -2, 1\/3, 4\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -420 - -435.09. Let p = r - 15. Let m = p - 0.09. Which is the second biggest value? (a) 1 (b) -0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*z**3 - 178*z**3 - 117*z**3.\nAnswer: -330*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -266*v + 265*v - 54 - 14, 2*v + h = -37 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 265638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 3, -1, 3, 21, 59, 123?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65682 + 25807. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -6*y - 44 + 175 - 290, -7*y + 2*j - 169 = 0 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2)*l)**(-47)\/(l*l**(-3\/7)*(l**(-3\/5)\/l)\/l) assuming l is positive.\nAnswer: l**(-1503\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - r. Let m = 0 + r. What is the units digit of 3 + -1*-1*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 576 (b) -0.02 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, c: 2, f: 2, r: 2, p: 1, v: 5}. What is prob of sequence vfjc?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*2*sqrt(50))**2 - (-4 + sqrt(18)\/sqrt(9) - sqrt(8)*5).\nAnswer: 9*sqrt(2) + 80004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000350589 rounded to 6 decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 1 + 0)*(-4 + 2 + 0) + 3 - 4 - 1)*(5*g - 2*g - 2*g - 1) to the form i*g + s and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, 99271548.\nAnswer: -0.5, 1, 99271548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55559 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.527488ns in minutes?\nAnswer: 0.0000000003421248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) - (sqrt(200) + -2 + sqrt(200) + sqrt(200) + sqrt(200)) - sqrt(200) - sqrt(200)) + sqrt(12)\/sqrt(6)*-1)*2)**2*-6.\nAnswer: -124944 + 4896*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3669892 is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s - 4 + 4*s**2 - s + 12 - 2*s**3 + 2*s**4 - 9 + 6 to the form g*s**2 + q*s**3 + f*s**4 + o*s + i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b - -89?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*y + 33*y - 14*s = 151, -3*y - 51 = 4*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 2*d. Let s(a) = 2*a - 2*a**2 - 6*a + a. Give 3*q(u) + 2*s(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 - y. Let u(i) = 2*i**2 + 3*i**2 - 4*i**2 - 3*i**2. What is u(t(j))?\nAnswer: -72*j**4 - 24*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h + 7*h - 11*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120523118327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/50)\/(-7)*20\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8580 at most 421?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/(-78) - (50\/65)\/(-5). What is the fourth smallest value in -0.09, 2\/5, -2\/3, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -351*t + 7365. Calculate f(21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15041, 30082, 45123, 60164, 75205, 90246?\nAnswer: 105287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/4)*p*p*p))\/p*p**3)**2 assuming p is positive.\nAnswer: p**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 3*f**2 + 0*f**4 + 0 + 0*f + 0*f**3 - 1\/12*f**5. Let q(g) = 3*g. Give q(m(a)).\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d. Let v(h) be the first derivative of -8 + 2\/3*h**3 + 0*h + 0*h**2. What is v(r(y))?\nAnswer: 162*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-510)\/(-12) - 0) + (-2)\/4 and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 4:34 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3*275\nAnswer: -825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/2)\/(y\/y**(2\/13)))**(-33) assuming y is positive.\nAnswer: y**(2013\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.425 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 8675364*i**3 + 6 + 8675431*i**3 + 9*i**2.\nAnswer: 67*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2769917*y**2 + 542841 wrt y?\nAnswer: -5539834*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/5)\/r**5)**(1\/26)*(r**1*r)**(-17\/2)\/((r\/(r\/(r\/(r*(r**(1\/7)\/r)\/r))*r)*r)\/((r*r**(-2\/7)\/r*r*r)\/r*r)) assuming r is positive.\nAnswer: r**(-7877\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22*q - 216. Calculate a(-11).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*q = -0*a - 6, -3*a - 11 = -5*q. Let b be 286\/8 - a\/8. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -510, -624, -942, -1566, -2598?\nAnswer: -4140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**5\/30 + z**4\/4 - z**3 - 8*z**2. List the prime factors of j(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308737695 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (5 + -26 + 56 - -27).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - 4\/2 - -1. Solve 2*z + y = -4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -448 + 450. Let k = 6 - 1. Suppose -4*p - 2 = -5*r + 11, -k*p - 3*r = -30. Solve 0 = -y*b + 5 + p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jljjjjljjjjgggj.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 7ca1?\nAnswer: 7ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2. Let w(l) = -l**2 - l. Let m(s) = 6*s**2 + 4*s. Let z(d) = -m(d) - 4*w(d). Give z(x(p)).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - 12*h**4 - 544 + 21*h + 9*h**4 + 549 as j*h + f*h**2 + d*h**4 + a + l*h**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 37 = -57. Calculate the remainder when 66 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-230)\/45)\/(18 - -2 - (-51)\/((-18819)\/7544)).\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 21 = 3*v, c = -158*v + 160*v + 7. Solve -2*b + 13 = 3*x, c = -2*x - 5*b + 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340816 a multiple of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5641*g**3 + 30178?\nAnswer: -16923*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -103213?\nAnswer: -103120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 - 1) - (180 + -185).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 4*c + 48 = -64 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*(-111)\/(-1776)*(6\/(-1))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 388.2378 millennia in centuries?\nAnswer: 3882.378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (sqrt(55) - sqrt(220)\/sqrt(4)))\/sqrt(5)*-3.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 296267, 296261, 296247, 296219, 296171, 296097, 295991?\n\"Answer: -q**3 + 2*q**2 - 5*q + 296271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43880069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11054*c**2*q - 2*c*q + 562*c + q - 2 wrt c?\nAnswer: 22108*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 5. Let o be k(-4). Let w(g) = g - 3. Let d be w(o). Solve -6*j = -d*j - 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -68*y - 5787. Let q be d(-83). Let l(x) = 44*x**3 + 6*x + 6. Let v(i) = 1056*i**3 + 143*i + 143. Calculate q*l(z) + 6*v(z).\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -4168788.\nAnswer: 41687880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d**2. Let g(h) = -5*h - 15. Let w(x) = 4*x + 18. Let l(z) = 6*g(z) + 5*w(z). Calculate l(u(m)).\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 2*f**3\/3 + 7*f**2 + 24*f + 27. What is r in p(r) = 0?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-16) - 5 - -3. What is the closest to -15 in h, -0.4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -131*s + 64*s + 25 + 66*s. What is the tens digit of d(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08011 + -63.91989. Which is the second smallest value? (a) 1\/8 (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*c*y**3 - 54*c - 2*y**3 - 1813 wrt c.\nAnswer: -24*y**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 24 = -2*p + 5*q, -27*p - 2*q - 168 = -20*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -69*p - 3. Let m(b) = -b + 1. Let j(y) = -f(y) - 2*m(y). Let o be j(1). Suppose -l + o = 2*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*d**3 - 3541*d**3 - 4563*d**3.\nAnswer: -8045*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (-21 - (-7 + 8)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b - 6. Let r(t) = 7*t + 6. Let c(w) = 4*d(w) + 3*r(w). Calculate c(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/573233 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.18 + -0.18. Let i = 0.6 + -0.2. What is the third smallest value in i, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 60. What is the closest to 0 in -3\/2, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 136286344 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24310179, -24310217, -24310257, -24310299, -24310343, -24310389, -24310437?\nAnswer: -24310487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 718909.0589942 - 718909. Let u = x - 0.059. Round u to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 21\/2*h**2 + 1\/6*h**4 - 61*h - 19\/4*h**5 + 0*h**3 + 1. Find the third derivative of y(r) wrt r.\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + t**2 + 6*t - 6. Let s be b(2). Solve -n - 3 = -s*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -24*z + 616. Is m(-11) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 1328991?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 345 - 348.99. Let o = -4 - c. Let m = o - 2.99. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 513147124 to the power of 1\/2, to the nearest integer?\nAnswer: 22653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y + 4*y + 5*y)*(-21 + 17 + 45)*(4*y**3 + y**4 - 4*y**3).\nAnswer: 738*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-3))**11)**(-14))**12 assuming k is positive.\nAnswer: k**(-7392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439 is divided by 338.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 46*s**2 + 4*s + 4. Let j(f) = -4*f - 30. Let n be j(-8). Let l be 3 + (-4 + 6)\/((-1)\/n). What are the prime factors of a(l)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -185.\nAnswer: 1\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/5 + 8984972*h**2\/5 + 3593992*h.\nAnswer: -4*h*(h - 2246245)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 8 - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 920221.2 millennia?\nAnswer: 92022120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 5*n - 3*p, 42 = 2*n + 3*p + 6. Suppose x = n + 11. Let t be 468\/x - 9\/(-24). Solve 0 = -6*i + 3*i + t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 402146 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 859.38 in 0.4, -0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 2*v + 4. Let t be q(-4). Let o be (3 + 0)*20\/6. List the prime factors of ((-4)\/5)\/(t\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3 + 332*f**2 + 652*f + 324 = 0.\nAnswer: -81, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -25 and -1532\/65 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4334, -4345, -4360, -4379?\nAnswer: -4402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 435\/(-116)*(-3)\/18*-16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.74 - -3.76. Let s = 2 - q. Let x be ((-19)\/76)\/(1\/3). What is the nearest to -2\/3 in x, -3, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23 + -1321?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -42 + (23 - 4 - -6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88001660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -64\/7 - 235\/21. Calculate the common denominator of -7 - -10 - 88\/21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + a. Let b(z) = 2*z**3 - 7*z**2 - 7*z. Calculate -4*b(r) - 28*m(r).\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 2. Let h be d(8). What is the remainder when (8\/h)\/2*-15 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**2. Let n(x) = 142*x - 40. What is r(n(a))?\nAnswer: 40328*a**2 - 22720*a + 3200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.23 (b) -0.3 (c) -62 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 20 = -3*h, -4*h - 2*n = -7*n - 26. Suppose -3*j + 73 = -3*o + 13, -h*o + 40 = 4*j. Calculate the greatest common factor of 165 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**4\/12 + 37*h**3\/6 - 86*h**2. Let m(w) = -2*w. Determine t(m(l)).\nAnswer: -4*l + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -2.29\nAnswer: 6.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a + 4*g - 71, -2*a + 5*g = -2. Factor 11*w - 38*w + 14*w + a*w + 2*w**2.\nAnswer: 2*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*w - 3 = 0, -w - 4*w = 5. Let o be m - 0\/(-1 - -3). Let n(x) = -x + 1. Let y be n(4). Put y, 4, o in ascending order.\nAnswer: y, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, h: 4}. What is prob of picking 2 h and 2 s?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*n = n - 91, 4*n + 46 = 2*y. Let i = y + -12. Solve -i + 3 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-156)\/(-36))\/13*3*4. Solve -x*q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 11 + 9 = 0. Let g(k) = k**3 - 5*k**2 - 19*k + 7. Let f be g(8). Let m = -45 + f. Solve -u - m = d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 3*j - 2. Let f be r(-1). Suppose -f*o + 1 = -3. What is the units digit of (474\/12 + 2\/1)*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 24 + 14. Let u = 41 - h. Suppose -4*w - 5*m + 220 = -u*m, 2*m - 167 = -3*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -170 - -165. Let n be (1 - p) + (-464)\/80. Put 1, 0.01, -3, n in decreasing order.\nAnswer: 1, n, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 2*z - 0 - 6, 0 = 4*r + 8. Let q(w) = w**2 - 1. Let t(o) = 2*o**3 - 10*o**2 + 10. Give z*t(c) - 10*q(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/99 + 16\/(-63). Let v = 0.851 + 0.149. What is the closest to v in 1\/3, 2, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -13*x + 11. Let k be l(-13). Let h = 336 - k. What is h rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 359704*l**4 - 9*l + 6654 wrt l.\nAnswer: 4316448*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1))\/j**(1\/5))**5 assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12012110 (base 3) to base 14\nAnswer: -154c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1758*c**3*q**2 + 1435*c**3*q - 4*c**3 + 5*c**2 + 2*c*q wrt q.\nAnswer: 3516*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 8*k - 11. Let w be q(-3). Let v(j) = 2*j**3 - 6*j**2 - 2*j + 3. Let d(n) = 2*n**3 - 6*n**2 - 3*n + 4. Calculate w*v(l) - 3*d(l).\nAnswer: 2*l**3 - 6*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/27377 and -47?\nAnswer: 27377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5406039.\nAnswer: 3, 83, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 1:49 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36851?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5437, 5409, 5341, 5215, 5013?\nAnswer: 4717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 363. Let y = -202 + i. What is the nearest to -2\/3 in 0.3, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 5*b - 35 = 7*o, 0 = -3*o - b - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 92, 134, 174, 212, 248, 282?\n\"Answer: -j**2 + 45*j + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*u**3 - 5*u**2 - 48*u**3 - 33*u**3 + 8 + 2*u**4 + 2*u**2 + 4*u**2 in the form i*u**2 + t*u + j*u**3 + n + c*u**4 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3 (c) 0.5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10440791 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3 + w**2 + 0*w**2 + 4*w + 0. Let p(z) = -3*z**2 + 6*z**2 - 2 + 1648*z + 0*z**2 - 1645*z - 2*z**2. What is 7*p(x) - 5*s(x)?\nAnswer: 2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5*q + 1867, -5*q - 9275 = -6*p + p. Let y be (3 + p\/6)*40\/50. Calculate the greatest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89358.\nAnswer: 2, 3, 53, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*n + 0)*(1911 + 2530 + 365 + 440 + 26) as l*n + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -125?\nAnswer: -37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 3360?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -3*q + 5*d, 3*d - 7 = 8. Let c(m) = 30 - 5 + 7 + q*m. Is c(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 8*u**2 - u + 11. Suppose 4 + 4 = 2*a. Let o be (-250)\/9 + a\/(-18). Let j be (-14)\/o - 15\/(-2). What is i(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20947.\nAnswer: 20947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 152*g**2 + 148*g**2 + 155*g**2 - 68 - 459*g**2 + g in the form o*g**2 + p*g + q + j*g**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 - (-32 + -2 - (282 - 330)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 24 + 51. What is the third derivative of -112*z**o + 4*z**2 - 108*z**5 + 6*z**6 + 220*z**5 wrt z?\nAnswer: 720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-39) - (-848)\/24)\/(4\/2).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66759 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356245 - 42177*c + 42203*c - 356245.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 259945.6 nanograms?\nAnswer: 0.2599456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*0.08.\nAnswer: -1.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125005 - -4?\nAnswer: 125011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 944 - 774. Calculate the remainder when 98 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 4*t + 358 = 0, 365*q - 805*t + 74045 = 368*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3 + (-36)\/(-27). Suppose -5*h + 7*p = 2*p - 60, -o*h + 24 = 2*p. Suppose 0 = 2*m + h - 42. What is the remainder when m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 41567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-45)\/10 - -4). Suppose h - g*z = -0*z + 86, 0 = -4*h + 3*z + 344. List the prime factors of h.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -511*m*o**2 + 2*m*o - 3*m - 67355*o**2 wrt m.\nAnswer: -511*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 + (-11)\/(121\/165). Let o be (10\/6)\/((-1)\/(-3)). Solve 26 = 3*k - o*u, 2*u - 4 = 2*k + a*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9934, 9921, 9908, 9895, 9882?\n\"Answer: -13*b + 9947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*b**2 - 14 + 108*b**2 + 89*b**2 + 108*b**2 - 5*b wrt b?\nAnswer: 524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 602 - 529. Suppose 78*w - 20 = v*w. Solve 2*f - w*m = 14, 8*m + 25 = 3*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 10*i**3 + 28644*i**2 + 11456*i = 0.\nAnswer: -2864, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -12*j + 9*j. Let x be ((4 - 6)\/(-1))\/j*0. Solve x = y - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 571332.64 to the nearest 10000.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4304 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(1*sqrt(1728)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(25*a**4 - 279*a + 277*a + 36*a**4).\nAnswer: 122*a**4 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001111000101001010010110 + 1?\nAnswer: 1011001111000101001010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) + 649\/(-44). What are the prime factors of (4 - r\/(-3))*(-3 - 100)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - k**2 - 3*k)*(6*k**2 - k**2 - 3*k**2) - 3*k**4 + k**4 + k**4 - 4*k**4 - k**4 - k**4 + (1 - 1 + 2*k)*(0*k**3 - 5*k**3 + 3*k**3).\nAnswer: -13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/6 - (-4)\/(-2). What is the third smallest value in z, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/15 (b) 1 (c) 21 (d) 0.1 (e) 5 (f) -2\/3 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 948 and 17645916.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least as big as 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 640 and 36.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 457 divide 58172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 9:04 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 2*n**5\/5 + 6*n**4 + 86*n**3\/3 + 60*n**2 + 56*n + 1111. What is c in o(c) = 0?\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 23 = -h. Calculate the highest common divisor of 65 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001111011011000 - -100111?\nAnswer: -1001111010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000101 + 11011100100?\nAnswer: 1111011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 679 and 4500?\nAnswer: 3821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 3*x - 29, 0 = -2*l - 2*l - 2*x + 26. Suppose 4*t = y + 88, 43 = 6*t - 5*t + l*y. Suppose 47 + t = 2*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1906227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhttyth. Give prob of picking 1 y and 3 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0. Let g = u - 0.3. Let z = 1 + 2. Which is greater: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-2))\/((-8)\/16)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 173 - 188 - 134)*(3*v**3 + 5 - 5).\nAnswer: 3*v**4 - 447*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 14) to base 6\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -44 - 110?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3\/4 - 1196215*z**2\/4 + 17886479550*z + 17886778605 = 0.\nAnswer: -1, 119622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 9. Let w be z(11). Let j be ((392\/w)\/(-7))\/(1\/(-33)). Let n = 234 - j. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 17 = 3*z, 11*z - 7*z = -3*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/7, -0.3, -0.22, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/315975 and 43\/35178.\nAnswer: 336829350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.2 (b) 9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0080952 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -31*s + 12, -4*l - 5*s = -21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 914, 142, 172 in descending order.\nAnswer: 914, 172, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3277887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.199 - 0.17. Let y = 0.071 + v. Let z = -2 + 1. Is y != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.09 and -0.07688?\nAnswer: 0.0069192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 0, 0 = 3*m - 3*p - 22 + 4. Let t = m - 7. Put 3, 5, t in descending order.\nAnswer: 5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.212 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0.2. Let t = f - 2.8. Sort 4, t, -3 in decreasing order.\nAnswer: 4, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*z + 18*y, 4*z - 434*y + 12 = -433*y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2400\/(-440)*(-286)\/52?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3722837 and 31970?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -3 - (-1 + 10 + (-8 - (11 - 7))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -28, -4.\nAnswer: -28, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g + 31 = 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2158 + 15.7842. What is the closest to -0.1 in f, 1\/3, 14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136 + 153. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - a = -27283 + 27316, -2*b - 45 = 5*a for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1*(sqrt(208)*2 - sqrt(208)) - sqrt(208)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 10*m**2 - m + 11. Let o be n(10). Sort o, 4, 3, -1 in ascending order.\nAnswer: -1, o, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*x = -120 - 130, x = 3*w - 164. Suppose 54*m = w*m. Solve -3*h + 11 = -1, u - h + 6 = m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 8:33 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -2*h + 10. Let o be (h\/1)\/(4\/(-6)). Let z(b) = -b**3 - 4*b**2 - 2*b. Let d be z(-2). Sort o, -2, d.\nAnswer: d, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88830*5.\nAnswer: -444150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03483 - 542.43483. Round g to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37200 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i + 12666 = 13*i. Let c = -1391 - i. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-14))\/((-6)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 121d3 - 5?\nAnswer: 121cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*l)*(-1 - 2 + 1) - 22*l - 29 + 67*l - 38*l to the form o + t*l and give o.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-5)*(-4)\/(-2). Let j = 0.1 - -1.9. What is the second smallest value in j, -2\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -9*o + 8. What is the highest common factor of 40 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**4 + 3830*c**3 - 4165*c**2 - 252030*c + 828360 = 0 for c.\nAnswer: -767, -9, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/18 + (4 - (-188)\/(-48))*-10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23891 is divided by 139.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12007, 11977, 11945, 11911, 11875, 11837?\n\"Answer: -c**2 - 27*c + 12035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/3)\/(2 - 39\/18). Let m be 5\/x*4*39. Suppose 0 = 3*i + 5*k - m, -4*i = i + 5*k - 55. Put -3, 1, i in ascending order.\nAnswer: -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 9*g**3 + 4*g**2 - 9*g - 3. Let l(o) = 10*o**3 + 6*o**2 - 13*o - 5. Let b(x) = 2*l(x) - 3*v(x). Give b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 156*v - 13. Suppose -u = -m - m + 7, -3*m + 2*u = -12. What is the units digit of x(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Suppose -3*i + 0*i + 12 = 0. Solve -i*u - 4*q = -28, 0*q - m*q = -3*u - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1585*-0.18.\nAnswer: 285.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*p - 0*y + 33, 0 = 5*p - 3*y - 85. What are the prime factors of 37\/7 + p\/(-49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 59433*i + 887. Let j(r) = 3*r**2. Give h(j(d)).\nAnswer: 178299*d**2 + 887","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 + 180034640*s - 8103117899982400.\nAnswer: -(s - 90017320)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 168484 divided by 5355\nAnswer: 168484\/5355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + s. Let l(v) = -516*v**2 + 170*v**2 + 181*v**2 + 11*v + 172*v**2. Calculate 6*k(o) - l(o).\nAnswer: -o**2 - 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14a8b - -946?\nAnswer: -14145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*r - 4*r - 210 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(10\/3)*x\/(x*x**(-13\/4)*x)*x*(x*x\/(x\/x**5))**(-13) assuming x is positive.\nAnswer: x**(-857\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**6)\/p)\/(p\/(p*p**(-2)))*p**7\/((p**(2\/11)\/p)\/p) assuming p is positive.\nAnswer: p**(9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:59 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -99. Suppose -17*k + 16*k = -l. Let y = k - 64. Let t(h) = -19*h + 7. Let b(r) = 6*r - 2. Calculate y*b(g) - 2*t(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 6 + 4)*(2 + 2 - 2) + 3 - 3 + 6)*(-d + 3*d - 3*d).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.225913 to 4 dps.\nAnswer: 0.2259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.889763 nanograms in milligrams?\nAnswer: 0.000000889763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3293 - 2527. What is the remainder when z is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/35)\/a*a**(-4))**(12\/11) assuming a is positive.\nAnswer: a**(-2076\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.848754cm to nanometers.\nAnswer: 68487540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 1 + 7*n - 10*n - 3 to the form q*n + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 393761 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 1. Let s(y) = 5*y**2 + 2*y + 4. Let z(j) = 14*j**2 + 7*j + 12. Let g(q) = -8*s(q) + 3*z(q). Calculate -g(x) - 5*h(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.7 + 21. Let t = b + -0.3. What is the closest to 1\/2 in 2, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 + 6*d**3 + 4*d**3 + d**3 - 2*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 2*f**2 + 6*f - 8. Let r be t(2). Solve 2*l - 3 = -a + 2*a, 4*a + r*l + 12 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109\/11 + -2311\/231. Which is the smallest value? (a) m (b) -1 (c) -10 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + f**2 + f + 2. Let s be 1\/(-6)*-2 + 1272\/72. Suppose 4*m + 0*m = -y - s, 0 = 3*y + 5*m + 19. What is k(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/(5\/17))\/1. Calculate the greatest common factor of 85 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 20*d**2 + 6*d + 9. Let c(x) = -19*x**2 - 7*x - 8. Let z(i) = 6*c(i) + 7*o(i). What is the derivative of z(v) wrt v?\nAnswer: 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 - 10948860*w = 0 for w.\nAnswer: -2737215, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 11. Let n(o) = 74*o**2 + o - 21. Let g be n(c). Let l = -82 + g. Round l to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/638 and 79\/8584?\nAnswer: 94424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1157\/4165 + 4\/245. Let x = 0.26 - 0.66. What is the fourth biggest value in -1\/5, q, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61050 = -1309*s - 842*s + 301*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.174 - -15068357901?\nAnswer: 15068357900.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + y = 5 + 4, 4*n + 24 = 5*y. Let m be ((0 - n)*-1)\/(-2). Let f be ((-2)\/2)\/4*2. Which is the nearest to m? (a) 3 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 6 = 2*i. Let r = 2 - i. Suppose -v = d - 36, -3*d - 5*v = -r*d - 104. Calculate the remainder when d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3))**(6\/7)\/((p\/((p**(2\/11)\/p*p)\/p))\/p**(-1\/2)) assuming p is positive.\nAnswer: p**(-269\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -69 - 84. Let p = -30 - r. Let l = -8 + 12. Solve -l*t + 2*z + 10 = 0, -3*t + 0 = 3*z - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1650\/18 + 5\/15. Let k(v) = q*v**2 - 50*v**2 - 40*v**2. Let m(d) = -19*d. Let h(y) = 19*y. Let x(l) = -6*h(l) - 4*m(l). What is k(x(g))?\nAnswer: 2888*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(-20)\/(-8)*1\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m = 25. Suppose -35 = -5*c - m*j, -2*j - 16 = -2*c + 10. Let w = c - 6. Calculate the lowest common multiple of w and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*q + 5 = -5*r - 194*q, 2*q - 3*q - q = -2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(112)\/sqrt(2)*6)\/(3*sqrt(72) + (sqrt(648) - sqrt(648)*1)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1524)\/29210*(-138)\/60\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + -2887?\nAnswer: -2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 12. Let q be d(-7). Let h(u) = u**3 - 9*u**2 - u + 7. Let b be h(q). What is the smallest value in 4, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:42 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30.76 from -1.\nAnswer: -31.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-6))\/(6578\/(-17940))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-8))\/(26\/2012712*-3).\nAnswer: 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d**3 + 22*d**3 + 17*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/1560 - ((-206)\/30)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.112*-0.5\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 8*f**2 - 10*f + 1. Give m(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*g)*(-12*g + 7*g + 8*g) - 2*g**2 - 3*g**2 + 3*g**2 + (-2*g - 6 + 6)*(-g - 3*g + 3*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obxbmomtxxoobx. Give prob of sequence obb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 + 13552*b**2 - 2629060*b + 22566744 = 0. Calculate b.\nAnswer: 9, 197, 3182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -245 + -204\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3910*f**4 - 11114*f**2?\nAnswer: 93840*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4149677135 - 13*r**3 + 4149677135.\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18441 + -18441. Solve -u + 85 = 2*i + 82, -u + i - 9 = m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + 1 + 1 - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 200455*r. Let f(d) = -7*d**2. What is f(s(u))?\nAnswer: -281275449175*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68574689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -11*y**2 + 44*y + 3. What is j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 2*r - 7. Let c(v) = -v**2 - 11*v + 38. What is the least common multiple of c(-13) and q(-5)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2864069 divided by 71.\nAnswer: -40339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y + 4*y - 5*y. Let r(o) = 199*o**2 - 385*o**2 + 202*o**2. Calculate f(r(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7867 + -7864.7. Sort 1\/5, -1, d, 3 in descending order.\nAnswer: 3, d, 1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*a**2 + 10*a.\nAnswer: -5*a*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-32396)\/260 - -125)\/(7\/5). Suppose 18 = 5*d + j, 3*d + 4*j = -0*d + 21. Factor -8\/7 + 16\/7*x - 6\/7*x**2 - 4\/7*x**d + p*x**4.\nAnswer: 2*(x - 2)*(x - 1)**2*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001758513 to 6 dps.\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4254084*a - 4254066*a + 8508156*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2297 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: What is -12906 divided by 1?\nAnswer: -12906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3 - (-94)\/(-60)) + 3\/6 and -76\/87?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60038, -60052, -60064, -60074, -60082?\n\"Answer: d**2 - 17*d - 60022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1879 - 1053. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/5 + -8*(-7)\/(-280). Let l(g) = -3 + g**2 + 7 - 8*g + 11*g. Let d(y) = -y - 1. What is t*d(b) - l(b)?\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = 4*n, 0 = n + 2*n - 4*s + 8. Let x be -3 - (n + (1 - 4)). Suppose -g + 6*w + 6 = w, x = 3*g + 3*w. Solve g - 5 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 217\/(-18) + (-4)\/(-18) and -79\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6186, 7704, 9226, 10752, 12282?\nAnswer: 13816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 19*f**2 - 4*f - 3. Let q be i(-3). Let g(k) = -k**3 - 3*k**2 + k. What is the smallest common multiple of q\/10*4\/6 and g(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-15) + (-7)\/15. Let i be ((-2)\/(-4)*-2)\/2. What is the smallest value in i, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -34*g**3 - 3*g - 93. Let p(n) = -68*n**3 - 7*n - 185. Let x(m) = -5*o(m) + 2*p(m). Find the second derivative of x(k) wrt k.\nAnswer: 204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20746494 by -2718.\nAnswer: -7633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*t - 2 - 148*t + 2 + 81*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2186509 millimeters to micrometers.\nAnswer: 218.6509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -183?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 98*-7680.7\nAnswer: -752708.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.801287748 rounded to five dps?\nAnswer: 1.80129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(153) - sqrt(153))*2)\/(-4*(sqrt(324) + (sqrt(324)*-1 - sqrt(324)))).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 36 = s. Is (s\/(-5))\/(5 + 2505\/(-500)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*u)*(0*u**2 - u**2 - 7*u**2)*(-3*u - u + 2*u).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkkkkkkkkwk. What is prob of picking 3 k?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 7:11 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -17\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**5\/20 + a**4\/6 - 2*a**3\/3 - a**2 + a + 3. Let j(b) be the first derivative of d(b). Calculate j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169*h - 1190*h = 105 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 2)*(-4*y + y + 2*y) to the form u*y + b and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -523087, -1046242, -1569397, -2092552, -2615707?\n\"Answer: -523155*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 11:38 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 + 803 = 8*i. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144332898?\nAnswer: 2, 3, 24055483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((-1)\/(-3))\/(2\/6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1740906 is divided by 290127.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15525215, -31050279, -46575341, -62100401, -77625459?\n\"Answer: t**2 - 15525067*t - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 1, t: 3, p: 1}. Give prob of picking 1 t and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p + 3*n, -6*p + 3*p - 2*n = -13. Suppose p*b - 16 + 1 = 0. Suppose b*f = -0*f + 345. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.254 + 0.146. Let o be -3 - 2*(1 - 2). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 126.175?\nAnswer: -128.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*p = 327*p - 173*p. Factor -10\/3*m**4 + 2\/3*m**5 + 6*m**2 + p + 0*m + 2*m**3.\nAnswer: 2*m**2*(m - 3)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 954816 is divided by 3100.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 760 = 4*x + 2072, -x = 4*m - 849. Calculate the remainder when m is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 + -99 + 48 + -2\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -1393*i**3 - 70*i**2 + 10*i - 442. What is the second derivative of t(j) wrt j?\nAnswer: -8358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.4. Let w be ((-4 - -2) + 5)\/3. Put w, v, -2 in descending order.\nAnswer: w, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37287319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 54*b - 1751*b**3 + 54*b + 1742*b**3 + 1.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -44. Suppose -4*t = 3*o + 1 - 25, 0 = y*o + 2*t - 18. Let q(i) = i + 3. Let b be q(-3). Solve 8 = u - 2*r, b*r + 4 = o*u - r for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 2. Let k(a) = a**2 - 5*a - 5. Suppose n = -z + 4*z - 20, -z = n. Let t(u) = -u - 13. Let i be t(-11). Determine i*k(v) + z*c(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37929230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -990 divided by -55.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -3*w - 2*d, 2081*w + 2*d - 184 = 2085*w. Let f be -1 + -40 - (-2)\/(-2). Is w > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.325 (b) -4\/51 (c) 28.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 5*b + 23, 0 = 2*h - b - 19. Find the first derivative of h + i**4 + 3*i**4 - 5 wrt i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/30*(-10)\/105*-6. Put 0, 2\/13, 3, u in descending order.\nAnswer: 3, u, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 16) to base 3\nAnswer: 101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/16 and (378\/1120)\/(12\/(-176)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 6) + 0 + 2 + -3 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 6501040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*(2 - 6). Let i(s) = s**2 - 17*s + 3. Let z be i(17). Suppose 0*j - k = 3*j - 9, -5*k + 15 = 5*j. Solve n*f - z = j*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -243 + m + 248 - 2*m + 2*m**2 + 3*m as o*m + i + t*m**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 127512 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*q - 3*q - 21 = 0, -2*q + 2 = 0. Suppose -y + 15 = 2*y. What is the third derivative of v**2 - g*v**2 + 0*v**5 + 4*v**y wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.013 - 0.013. Let k = 53 + -373\/7. Which is the closest to o? (a) -3\/7 (b) -0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 15*v + 16. Let r be q(14). Suppose a = 5*k - 4*a + 330, -3*k - 202 = -r*a. Let z = -51 - k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2922 and 7305.\nAnswer: 14610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13449255 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815833293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 - 82.001116. What is m rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 196*c**5 - 102*c**5 - 20*c**4 - 101*c**5 + 58*c - 58*c - 2*c**4 + 4*c**5 + (c - 4 + 4)*(c + 2*c**4 - c).\nAnswer: -c**5 - 22*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 5965 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 229\/4 + -2511\/44. What is the third biggest value in 4, -0.5, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (1 - 4) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740884, 740876, 740854, 740812, 740744, 740644?\nAnswer: 740506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 334*i. Let d(o) = -5*o - 51. Let t(m) = 34*m + 340. Let u(f) = 20*d(f) + 3*t(f). Give l(u(p)).\nAnswer: 668*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 24*p - 38. Does 26 divide u(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768 = 6*h - 2*h. Let w = 211 - -114. Let z = w + h. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4036340 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6702692 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -3, 3.4619, 5, 0.2?\nAnswer: 3.4619","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/229076 and -97\/801766.\nAnswer: 1603532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.4 - 8.4. Sort m, -3, -5\/2, 0.1 in increasing order.\nAnswer: -3, -5\/2, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -j + 3*j. Let q = -110 - -197. Let f = j + q. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 = -8*k, -4*k = 4*a - 184. Let v = a - 48. Suppose -1 = o - h, -v*o - h = -o - 7. What is the second biggest value in 0, o, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/(-2*11*2\/(-968))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 2:59 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3224 + -3227.297. Let w = -0.297 - h. Which is the second biggest value? (a) 6 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498*w = 506*w. Let m be 1295*1*(-4)\/(-10). Suppose w = 2*r - 0*r - m. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1604 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (244 - 231 - (-14 - 1))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.055 + -0.395. Let r = k - 99.66. Let d = r + 99.889. What is d rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-155)\/25 + -4 + 10)*(-1 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - l + 0*l = -2, 4*m = -5*l - 17. Let v be 26*1*(4 + m). Solve 3*k - v = -4*p, -4*p + 1 = -k - 17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3)**19)**(-1\/23)*(k**(2\/7))**42\/(k**(4\/3)\/k*k*k**2) assuming k is positive.\nAnswer: k**(427\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 5*g**2 + 5*g + 5. Let t be q(6). Let y(u) = -u**3 + u**2. Let w be y(t). Solve -6 = -i - w*s, 14 = 2*i + 5*s - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2143 - -2300. Which is greater: g or 786\/5?\nAnswer: 786\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 7) to base 5\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1966 = 2*q - 3156. Let a = q + -15425\/6. What is the common denominator of a and (-6)\/21*236\/24*3?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 26402236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 311*j - 7253. Let v be x(23). Is v equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6240)\/(-2640))\/(42\/(-462)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*q - 2*q**2 + 13 + 4*q**2 - 12 to r*q + z*q**2 + j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2735.28 - -2655. Let m = t + 1.28. Let l = -78.54 - m. What is l rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(896) + sqrt(896)*2 + sqrt(896))\/((sqrt(70)*2)\/sqrt(10)))**2 - (sqrt(72)\/(sqrt(8)\/sqrt(2)))\/(sqrt(9) + (sqrt(441) - -2*sqrt(441)))).\nAnswer: -sqrt(2)\/22 + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 43889*w + 131651. What is p(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 139cc0 (base 13) to base 9\nAnswer: 808867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1356*a**2*g**3 + 575*a**2 with respect to g.\nAnswer: 4068*a**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(1900) + 2)**2*-2 + -1.\nAnswer: -3809 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*g**3 + 3 + 2*g**2 - 7 - 2092*g + 2088*g to the form c*g**2 + z*g**3 + s*g + q and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100 + 2333?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + q + 2*q)*(2 - 3 - 3 + 1 + 5 - 4 + (-1 + 1 - 1)*(1 - 4 + 1) + 1 - 3 + 3 + 3 - 3 - 2)*(-45*q - 7*q - 15*q) to i*q**2 + k + w*q and give i.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 45*r**2 + 39*r + 208. Let a be n(44). Let o be (-8)\/(-4) - (-3 + 2). Let i be o + (0 + 1)*-2. Sort -3, i, a in ascending order.\nAnswer: a, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/12 - (-14)\/(-3). Let b be (-126)\/(-72) + (-1)\/q + 0. Let y(l) = -l**3 - l**2 + 4*l + 1. Let w(v) = v + 1. Let a(s) = 3*w(s) - y(s). Determine a(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 140321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 885*b**2 + 732*b + 134381. Give z(884).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9080484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from lolooololollloololol?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -387728.2414 rounded to the nearest 100?\nAnswer: -387700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 5. Let k(q) = -7. Let m(f) = 5. Let z(g) = -3*k(g) - 4*m(g). Give w(o) + 2*z(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 20 = -14*m + 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 6*n**2 - 11*n - 21. Suppose -z - 37 = 5*x, -7*z + 9*z = -x - 11. Let a be s(x). Solve -3*w = 3*q - q + a, -2*w + 17 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 4:43 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/13 (b) 1\/3 (c) -12\/85 (d) -1256\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 28 = -128. Suppose 4*q = -5*x + h + 190, x + 2*q = 41. Let o = 81 - x. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/280 and 169\/2100.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 116630, -1, -2 in decreasing order.\nAnswer: 116630, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*z**4 - 30857*z**2 - 2*z - 81967 wrt z?\nAnswer: 12*z**3 - 61714*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3)*k*k\/(k**(-7)*k))\/((k**4\/k)\/((k*k\/(k\/(k**7\/k)*k)*k)\/k)))\/((k**(3\/5))**(-3\/2))**(-44) assuming k is positive.\nAnswer: k**(-434\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4590 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -1) + 4 + -1 - (269 - 258)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3*z - 6. Suppose -12*h + 15*h + 15 = 0. Calculate p(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 0*h**2 + 5*h**2 + 3*h**2. Let s(w) = 2*w**2. Give s(b(r)).\nAnswer: 128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.17 + 1.8. Let q = u - -0.43. Let t = -0.12 + q. What is t rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/294*(-6)\/(-5)*(-265)\/(-159).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(10\/29) - (-3 + 15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.20466 - -0.40635. Round n to three dps.\nAnswer: 0.202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-7)\/(-14)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 50*n - 330. Let g(r) = -r**2 + 48. What is the smallest common multiple of y(8) and g(0)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*k - 2*k. Let g = 169 - 174. Which is the nearest to 0.2? (a) 0.1 (b) g (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*l + 21702 = 3*p - 71*l, -p - 3*l + 7234 = 0. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1377, 1358, 1323, 1266, 1181, 1062, 903, 698?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5820\/679)\/((-4)\/(-14)). What is the greatest common factor of 1410 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a - 7*a - 5*a**3 + (-1 + 1 + 2)*(105*a**3 - 37*a**3 + 16*a**3))*((2 + 1 - 2)*(2 + 3 - 6) - 2 + 1 - 1).\nAnswer: -489*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 254214, 508427, 762640, 1016853, 1271066, 1525279?\n\"Answer: 254213*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -65*r**4 + 2*r - 27. Let f(t) = -t**4 + t - 2. Let o(c) = -2*f(c) + l(c). Find the first derivative of o(g) wrt g.\nAnswer: -252*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.48936g?\nAnswer: 3489.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*z = 15*z + 18*z - 558. What is the greatest common divisor of z and 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -10471640\nAnswer: 10471645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1529713 (base 10) in base 6?\nAnswer: 52442001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 242\/(-17 + 6) + 14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 28045644?\nAnswer: -28045646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2*c - 2)*(-2 - 1 + 4) - 1 + 1 - c + 0*c + 3*c - 2*c + c - 4 + 4 + (2 + 3 - 3)*(2 - 2*c - 2) + 3*c - 7*c + 3*c - c - 2*c + c)*(-7 + 6 - 4).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 4*w + 2. Let p be t(4). Let r(b) = b**3 + b**2 - b. Let a(o) = -o**3 + 9*o**2 - 8*o - 3. What is the remainder when a(7) is divided by r(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -1\/463 (c) -0.2 (d) 0 (e) -1 (f) 2\/5 (g) 1\/76\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 4 (c) 0 (d) 4\/163 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2. Let k(n) = -69226131*n. Calculate k(u(r)).\nAnswer: -138452262*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 3*w = 2*k + 48, 7*w - 100393 = -2*k + w - 100361 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/393325 (b) -2\/11 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eve when three letters picked without replacement from {v: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s + 19. Suppose 5*g - 11 + 2 = -3*r, g + 4*r + 5 = 0. Let q = g + 12. Solve 4*c - 4*m + q = m, -15 = -s*m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f\/f**(-9))*f\/(f**8*f)*f**3*f**0)**8)**(-2) assuming f is positive.\nAnswer: f**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55353 + 13?\nAnswer: -55340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-8)\/44 + 30\/44). Let x(i) = q*i**2 - 392*i + 2 - 390*i + 785*i. Calculate x(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/20 and -39\/5536.\nAnswer: 27680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60128380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1dd + 5?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z - 5. Let m be (-10)\/(-4 - -2) - -1. Let t = m + -9. Let y(k) = 2*k - 3. What is t*h(u) + 5*y(u)?\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/48*-5*2\/5\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j + 4 + 5*j - 3*j**3 + 3*j - 3*j in the form l*j**3 + r + x*j + p*j**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**4\/4 + 8*f**3\/3 + 7*f + 7. Calculate the smallest common multiple of 7 and u(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9)*23828\/(-5106)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 134?\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47 and 424.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/720 and -187\/60.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-30))\/((156\/13)\/108).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-2*m**5 + 2*m**5 - 2*m**5) + 2*m**5 + 2*m**5 - 6*m**5 + 6*m**5 - 1172 + 1172 - 2*m**4.\nAnswer: 8*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 24*z + 154. Calculate n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -54. What is the smallest common multiple of 14 and (-1)\/(3\/w*1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84723860 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4272 + 0*w + 14*w**2 + 2136 + 2*w + 2136.\nAnswer: 14*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 6*i + 4 = -5*o, 3*o - 67*i - 18 = 65*i - 127*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + 184 + 264. Calculate the lowest common multiple of 12 and g.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgg when three letters picked without replacement from {l: 9, x: 2, w: 3, g: 3, p: 2}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-32)*(-11)\/((-88)\/16).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -189943, -189934, -189919, -189898, -189871, -189838?\n\"Answer: 3*t**2 - 189946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(56)\/((sqrt(80) + sqrt(80)*-2)\/sqrt(10)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10791 = 66*p - 12705 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 965255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 37*q - 11. Let u be 5*(-8)\/(-60)*3*3. Is k(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + -3 + (-4*-2*(sqrt(175) - (sqrt(175) + sqrt(175)*-1 + 1))*-5)**2).\nAnswer: -96000*sqrt(7) + 1689552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 345991*b**3 - 754839*b**2?\nAnswer: 2075946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 988455373?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let o(k) be the first derivative of 45 - 1\/24*k**4 + 0*k + 2\/3*k**3 - 24*k**2. Let t(a) be the second derivative of o(a). Calculate x(t(y)).\nAnswer: -2*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 + 102849*t**3 + 29*t - 102844*t**3 + 1 - 10 as m*t**3 + s*t**2 + i*t + f and give i.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in m**2 - 23964763*m - 23964764 = 0?\nAnswer: -1, 23964764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -2*l - 24*h + 918, 16*l = 2*h + 7242. What is the remainder when l is divided by 103?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -a**4\/12 + 2*a**3\/3 + 4*a**2. Let c be y(-8). Let m = 30 - c. Calculate the greatest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 20*x**2 - 207*x + 4378. What is r(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjwo when four letters picked without replacement from oojwjojwjojj.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = -3*m + 6*t + 1476, -4*m = -t - 1978. Does 26 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6502, 12992, 19496, 26020, 32570, 39152?\nAnswer: 45772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 33*k - 76. Let o be g(7). What is the highest common factor of o and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 + 132*s + 2160.\nAnswer: 2*(s + 30)*(s + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.07, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 + (-114)\/350. Let d = k + -39\/275. Let j = -12.345 + 9.345. What is the closest to j in -4, d, -2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.1 - 26. Let u = 40 + -73. Let y = -36 - u. Which is the third biggest value? (a) 3\/5 (b) m (c) y (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*v - 54, 5*v + 3*i - 7*i - 78 = 0. Let h be (-6)\/2*3 - v\/(-7). Is (-288 - (5 + h))\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -1\/29 (c) 99 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6129*b**4 - 844*b**2 - 651624*b + 2?\nAnswer: 73548*b**2 - 1688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 12. Let y be a(10). Let m be (-1)\/y + 4\/(-8). Solve m = -v + 4 + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -125 - -130. Suppose -r - b = 4*w + 3, 4*w = -2*r - 12. Put 1, r, -33 in ascending order.\nAnswer: -33, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -15.1. Let d = -2 + u. Let s = 1.01 + -0.61. Put 1, s, d in ascending order.\nAnswer: d, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009950195 rounded to four dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z - 6*z = -15*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(405) - (sqrt(405) - (sqrt(405) + -2)**2)).\nAnswer: -1227 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2 + 8*a*f*x - 908*a*f - f*x - 2533*f with respect to a.\nAnswer: -2*a + 8*f*x - 908*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 516*w**5 + 24*w**2 wrt w?\nAnswer: 30960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/9)\/z)\/z**2)\/((((z*(z**5\/z)\/z*z)\/z*z)\/z)\/((z**(2\/23)\/z*z)\/z*z))*z**(-3\/7)\/(z*z**(-1\/7))*(z\/(z\/(z**(-1)\/z)))**(8\/15) assuming z is positive.\nAnswer: z**(-65518\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39 - 76 + 28 + (0 + 3 - 1)*(2 + 3 - 4))*(2 - 2 - 2)*(11*k - 8*k - 74*k) to u + i*k and give i.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/2)\/(((-13)\/2)\/13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 40 = -25 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbbbbbsbbbbbbsb. Give prob of picking 1 b and 1 s.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 6*y**3 + y**2 + 628*y + 2. What is i(2)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let s(b) be the second derivative of -2*b**5\/5 + b**4\/6 - b**2\/2 - b. Is s(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 11*u**2 - 1. Let j be (-6)\/(-10) - 108\/(-20). Let q(b) = -b + j*b - 5*b + 2*b. Calculate q(f(h)).\nAnswer: 22*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + 9*i**2 - 4*i + 6. Determine x(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 7}. What is prob of sequence bubb?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 33. Let t be (1\/14*-2)\/((-14)\/28). What is the biggest value in t, n, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, -116, -4 in ascending order.\nAnswer: -116, -65, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/608409117 or 0?\nAnswer: 2\/608409117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250) - ((sqrt(1250) + sqrt(1250)*1)*5 + sqrt(1250)))\/(-1*-1*sqrt(10)*-2).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 - c**3 + 5*c**3 + 4*c**3 - 10*c**3 - 18*c**3 + (c**2 + c**2 - 4*c**2)*(-1 - 2*c + 1) + 1 - c**3 - 1.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4024 times 0.3?\nAnswer: 1207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -27, -3, 4, 2 in increasing order.\nAnswer: -27, -3, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*-3*-1. Suppose -3*a + u - 26 = 0, 0 = a + a + n*u + 28. Let z = -5 - a. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 17. Let a be o(3). Let u be (-86)\/(-4)*a\/30. Which is bigger: 14 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/537 and 45\/716.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2835, 2893, 3033, 3291, 3703, 4305, 5133, 6223?\nAnswer: 7611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = -2*n + 3, 2*n = -4*m + 22. Suppose c + c - n*y = 6, 5*y = 4*c - 16. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 378 - 266. Let d(w) = -6 + 3*w**3 - 2*w**3 - 19*w**2 + 7*w**2 + 13*w. Let p be d(11). Calculate the greatest common divisor of p and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83648, -167295, -250938, -334577, -418212, -501843?\nAnswer: -585470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1648 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 93352688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**3 - p**2 - 6*p - 5. Suppose 2*v + 39 - 17 = 4*z, -3*v = -3*z + 18. Give k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5287\/18 + 587\/2. Which is the fourth smallest value? (a) 3 (b) -11 (c) l (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2212*l**2 - 3*l + 9. Let s be o(-3). Let i(p) = 19926 - p**2 - s. Let w(y) = -1. Let a(r) = -r - 2. Let n(k) = a(k) - 2*w(k). Give n(i(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 103462\/7 - 14774. Which is smaller: -7.8 or y?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*h = -10*o + 103, -o - 2*h + 17 = 0. Calculate the remainder when 64 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 4*v + 2*v)*(-5*v**2 + 6 - 6) + (-2*v + 0*v + v)*(3*v**2 - v**2 - 3*v**2) - 6*v + 6*v - 13*v**3.\nAnswer: -17*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69282533?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24535\/6 - -1112255\/272. Calculate the common denominator of -25\/1428 and y.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13136 (base 14) to base 7.\nAnswer: 253466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 3\/25 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 1250008.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7605750 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101508 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.02 + -0.02. Let u = -16 + q. Which is the smallest value? (a) -5\/2 (b) 2 (c) u (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2663)\/6 + 8\/(-12). Suppose -3*o - 318 = 1101. Let k = z - o. Calculate the common denominator of k and -1\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + 46 + -26 - (5 + 9).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r + r**4 - 5*r**3 - 30*r + 5*r**3 - 2*r**2 as f*r**3 + o + w*r**2 + k*r**4 + t*r and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-16))\/(6\/(-4)). Let v = 1 + t. Sort 6\/11, 0, v.\nAnswer: 0, v, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -237*n - 2371. Calculate m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a - 2. Let q(j) = 294*j + 294. Suppose -26*l - 735 = -21*l. Let n(m) = l*b(m) - q(m). Let o(k) = -2*k. Determine o(n(w)).\nAnswer: 294*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of v**5\/60 - 5*v**4\/24 + v**3 + 398*v**2. Let t(f) = -4*f**2 + 14*f - 17. Give 17*j(s) + 6*t(s).\nAnswer: -7*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - y**2 - y. Let c be g(2). Let t be (-4)\/c*(-18)\/12. Let a(q) = -q - 5. Let x be a(-6). Which is bigger: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 236350, 235988, 235626, 235264, 234902?\n\"Answer: -362*h + 236712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(33)\/sqrt(3) - -1*sqrt(396)) + -1)**2.\nAnswer: -10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:01 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -867*r + 940*r + 482968 = 0. Round r to the nearest 100.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.051 - 2.051. Sort 1.4, 0, g, -4 in descending order.\nAnswer: 1.4, 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -586*r**4 - 6 + 3 + 584*r**4 - 1 - 4*r**3 + 4*r + 2*r**3 as n*r**2 + j*r**4 + v + i*r**3 + w*r and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 65793 and 93990.\nAnswer: 657930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 423*k**4 + 6*k**2 + 4863*k + 15761593?\nAnswer: 1692*k**3 + 12*k + 4863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 + -20ad0?\nAnswer: -20a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/(-4) - (900\/(-48))\/15. Let a(s) = -5*s + s**3 - 2 + 1 + 3*s**2 - 1. Give a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 12*z + 23. Let h be g(13). Suppose -s = 5*b - 133, 0 = 3*b + 2*s - 41 - h. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 734917?\nAnswer: 4409502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 = 2*z, -5*z = -0*z + j - 14. Let v = z + -1. Which is the third biggest value? (a) v (b) 0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 37, 57, 97, 163, 261, 397, 577?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0. Let m = 2.4 + j. Let v = -6 - -8. Sort m, -3, v in descending order.\nAnswer: m, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(832) + -1 + sqrt(832) + 2) + 3)**2.\nAnswer: 320*sqrt(13) + 13337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4910*a + 4636*a - 9546*a + 3*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-34))\/((4\/((-1264)\/237))\/((-1)\/(-3)))?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**3 + 786*t**2 - 324715*t - 325500 = 0. Calculate t.\nAnswer: -1085, -1, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*k**2 - 29*k**2 + 69*k**2 + (-3*k - 2*k + 3*k)*(1 - 1 - 2*k) - 3*k**2 + 4*k**2 + k**2 + 3*k + k**2 - 3*k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 175 + 385. Suppose p = 4*b - 4*r, -b - 2*r = 3*b - 100. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -819 and -1921?\nAnswer: 1573299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n + n + 0*n)*(-1 + 1 - 1) + 3*n + n - 3*n)*(-n**3 + 2*n**3 - 3*n**3).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1646557 - -253570803\/154. Let z = 63\/11 - o. Find the common denominator of z and -1 + 0 - 66\/(-16).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-3)\/18*(-4)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 5:52 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 55, 67, 79?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -29. Calculate the remainder when 56 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o**4 + 10*o**3 - 10*o - 2. Let w(i) = -i**4 - i**3 + i + 1. Let g(k) = s(k) + 10*w(k). Find the first derivative of g(c) wrt c.\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/14*-7*-4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.9 + -0.1. Is q at least 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1143*v**3 - 784.\nAnswer: -3429*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*y - 749 = -29 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 2*a**2 + 3*a)*(28*a**3 + 20*a**3 - 18*a**3) + 9*a**5 + 7*a**4 - 93*a**3 + 93*a**3.\nAnswer: 69*a**5 + 7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - u = -42, 3*v + 49*u + 29 + 13 = 51*u for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/17)\/((f\/((f**(-2\/3)*f)\/f*f))\/f*f))\/((f**(2\/55)\/f*f)\/f**(2\/41)) assuming f is positive.\nAnswer: f**(-48182\/115005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (3 - 3) + (-1)\/(-1). Suppose -k*b + 1462 = -3638. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 16*y - 7. What are the prime factors of l(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*a = -9*a - 5724455. List the prime factors of a.\nAnswer: 5, 11, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -122 - -124. Solve 11 - 1 = -g*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p. Suppose 12 = -l + 3*r, 12 = 2*l + 4*r - 14. Let d(z) = -2*z**2 + 2*z + 6*z + 4*z**2 - 16*z**l - 2*z**2. Calculate -d(j) + 8*m(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)\/s*s)\/s*s)\/s*s*s**(-10)*s**9\/s*s*s\/(s**1\/s) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.605 - -7.305. What is the biggest value in k, -7, 0.5, -0.1, -1.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l - 45*l = -2*p - 10, -l = 5*p + 36 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.726 and 158190.\nAnswer: 158189.274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -444894 rounded to the nearest one thousand?\nAnswer: -445000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 63131 divided by -13?\nAnswer: -63131\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -24. Let h = f - -15. Solve 2*k + 2*k = h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + 4. Let l be u(-4). Let f be ((-4)\/10)\/(l\/(-30)). Let v = -68 + 137\/2. Put f, 1, v in descending order.\nAnswer: 1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11250764 (base 9) in base 8?\nAnswer: 24663522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 1, p: 3, i: 2}. Give prob of sequence pzi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)\/((-1)\/43). Let t = i - -16. Let x be (-9)\/t + 2\/(-33). Is x <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*p - 266*v + 518*v - 246*v, 0*p + 28 = -2*p - 4*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3281796 to the power of 1\/2, to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 112 + 18*l + 28*l + l**2 - 11*l - 6*l. Let y be f(-24). Let k be (1\/3)\/((-1)\/3). Which is the second smallest value? (a) y (b) k (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (400*i**2 - 76*i**2 + 60*i**2)*(-3 + 3 + 2*i).\nAnswer: 768*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymx when three letters picked without replacement from {x: 1, m: 1, s: 1, y: 1, a: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1588 and 1323995?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgqqqggpugqqquuqqquu. What is prob of sequence pqg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**6\/10 - 7*d**3\/6 + 5*d. What is the second derivative of g(o) wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8146*v - 40743. What is k(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:48 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 15776?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -140a (base 11) to base 4\nAnswer: -130201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.651*-143475\nAnswer: 236877.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 13. Let j be (r\/2)\/((-3)\/(-10)). Put 1, -7, j in increasing order.\nAnswer: -7, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**16)\/((g*g**12\/g*g)\/g)*g\/g**(-10)*g\/(g**(-22)\/g*g)*g*g assuming g is positive.\nAnswer: g**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2276, 103, -5 in decreasing order.\nAnswer: 103, -5, -2276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -165.2 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/76 + (-6)\/(61104\/3002).\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:05 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228 - 107 + 79 + 121)*(1 - 1 + w**4).\nAnswer: 321*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0.03 (c) -2\/3 (d) 1\/6 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8590 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/2)*q)\/(q*q**(-6)\/q)*q**5\/q**(-1) assuming q is positive.\nAnswer: q**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (64\/(-70) - -1)*(-61 - -66). Let u(f) = 4*f**2 + 2*f - 1. Let b be u(1). Suppose 2*z - b*r = 23, 2*r + 14 = -3*z - z. Which is greater: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 151 = -26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/((-576)\/27))\/(90\/(-360)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5 + 1)\/(-4))\/(-17). Which is bigger: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 12. Suppose -2*n = -3*n. Suppose 2 = 2*j - 3*j - 2*a, -3*a - 47 = -4*j. Solve -4*r = h, n = -3*h + 2*h + f*r + j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32030402 (base 6) to base 10\nAnswer: 937154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-1) + -93*(-357)\/16380. Is 0 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.147? (a) 3 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - (-55)\/(-10))*-2. Suppose -10 = -4*b - q*u + 55, 3*b - 4*u = 80. Solve 2*d - b = -2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283874355 to the nearest integer?\nAnswer: 16849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -359 - -325. Let s(m) = 4*m**2 + 41*m + 21. Is s(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 213*f**2*p**2*v - 2*f**2 + 37*f*p**2 + 2*f*p - 18*p**2 + 343*p*v**2 - 7 wrt v.\nAnswer: 213*f**2*p**2 + 686*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40561, 82406, 124251, 166096, 207941?\n\"Answer: 41845*t - 1284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 4 (c) 109275 (d) 0.1 (e) 5\/4 (f) 0 (g) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + -5 + 1 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.1, -6, 2 in descending order.\nAnswer: 2, -0.1, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61699 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 444 or -15444?\nAnswer: -15444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/2)\/((-1*3)\/((-860)\/(-9890)))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r. Let v(n) = -2*n**4 + 102*n**2 + 5*n - 241. Let o(m) = -5*q(m) + v(m). What is the derivative of o(u) wrt u?\nAnswer: -8*u**3 + 194*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -1, -2\/7 in increasing order.\nAnswer: -1, -2\/7, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2937845360 rounded to the nearest one hundred thousand?\nAnswer: 2937800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 16) to base 6\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**4 - 27*g**3 + 20*g**2 + 96*g - 141. Let x(j) = -20*j**4 - 296*j**3 + 220*j**2 + 1056*j - 1552. Let u(p) = 32*i(p) - 3*x(p). Factor u(o).\nAnswer: -4*(o - 3)**2*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiefeiffiiefeiiefff. Give prob of picking 1 i and 2 f.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -25\/2. Suppose -3*s - o = -6*o + 40, -5 = 3*s + 2*o. What is the third biggest value in z, 2, s, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3\/(a*a\/((a*a**(-10))\/a*a)) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39663\/26)\/(-113)*6\/99?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 1:50 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-64479)\/(-40) - 2\/(-5). Let o = 2196 + -3806. Let r = v + o. Find the common denominator of r and 43\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3\/5 + 738*y**2\/5 + 287232*y\/5 + 4096000 = 0.\nAnswer: -128, 625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 2*y**2 - 8*y + 0*y**3 + 0 + 0*y**4 + 3\/20*y**5. What is the first derivative of l(a) wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 28.8792m?\nAnswer: 0.0288792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 7) to base 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.10151 - -0.00151. Which is the fifth biggest value? (a) l (b) -4 (c) 0.3 (d) -2.3 (e) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13008, 26033, 39058, 52083, 65108, 78133?\nAnswer: 91158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7941401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20327.73 decades in millennia?\nAnswer: 203.2773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x - 91*x + 47*x + x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, -10\/9, -0.3, 0.001 in decreasing order.\nAnswer: 0.001, -0.3, -10\/9, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 5 + (6 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -120*x + 105*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/143 and -17\/236.\nAnswer: 33748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*i - y - 2, i - 2*y = -7. Suppose -5*q - 4*x + 65 = 0, 0 = 2*q - i*q - 3*x + 24. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 11. Suppose 51*y = 1068 + 921. What is the highest common divisor of f and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.058? (a) 65 (b) 18.792 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -344697 and -344695 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(0*n - 3*n**2 + 0*n)*(-2*n + 0*n - 2*n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/3977 and 115\/6.\nAnswer: 23862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -247894*k - 4462102. What is p(-18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/5 + 69*u**4\/5 - 243*u**3\/5 + 291*u**2\/5 - 114*u\/5 = 0.\nAnswer: 0, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -6) + 0 + 1 + -8 + 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 1030 = -16*l. Suppose l - 227 = -2*u. Let f = 51 - 29. Calculate the remainder when u is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-84)\/(-16))\/7)\/(9\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1244*b**2 - 666*b + 11. Is w(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + -2 + (-7 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - r**2 - 2*r**2 + 726 + 1085 - 1811.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -58, -175, -390, -733?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a week in hours?\nAnswer: 4816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*b - 66*b - 5. Solve -11*o - b = -12*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 577*g**2 - 9 - 3*g - 528*g**2.\nAnswer: 49*g**2 - g - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27485 + 34275. Is m at most 6788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 2:20 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.062 - 52.938. Let l = 50 + t. Let q = -70 - -351\/5. What is the nearest to 1\/2 in q, -4\/7, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -49. Suppose -j*n + 4215 = 5*c + 1144, -n = -2*c + 1223. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of q**3\/3 - q**2\/2 - q - 18. Let v(i) = 3*i + 3. Calculate 3*s(c) + v(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2448527 or -2448567?\nAnswer: -2448567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351825 is divided by 117237.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-1490))\/6*320\/(-128)?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2da48 (base 15) to base 2.\nAnswer: 100011111111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3 - 3138*h**2 + 111888*h - 628768 = 0. What is h?\nAnswer: -1604, 7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -183 - -187. Find the common denominator of (-11)\/((-1485)\/470) - m and 97\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7760162.\nAnswer: 2, 113, 34337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = m - 7, -m - m - 14 = -3*x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5)*x)\/x)\/(x\/x**(2\/11)))**49 assuming x is positive.\nAnswer: x**(-3136\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*o**2*r**2 - 2691636*o**2*u - 684*o*r**2 + o*r - 2943*r*u wrt o?\nAnswer: 130*r**2 - 5383272*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -938*r + 54. Let h be i(-1). What is the highest common factor of h and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 261879 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -39213, -2.\nAnswer: -39213, -7, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9870 divided by -6?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*v**2 - 105*v**2 + 3*v - 109*v**2 - 3*v.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -19*x + 64. Let l(w) = 36*w - 128. Let j(h) = -3*l(h) - 5*o(h). Let p be j(5). Which is smaller: p or 95?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -108, -1271\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 q, 1 o, and 1 n when four letters picked without replacement from ooqgroqoqorgqqgonroo?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 7*z - 9, z = -5*w + 18. Solve w*i - 9 = 6 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-40) - 7\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2502*q**2 + 5571*q**2 - 3078*q**2.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*((-150)\/(-9))\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**5\/8 - 25*o**4 - 261*o**3\/2 + 1933*o**2\/4 + 5987*o\/8 - 4305\/4 = 0.\nAnswer: -7, -2, 1, 3, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*h + 5 - 2, h + 4 = 4*b. Suppose h = -k - k + 30. Let a be (-21)\/(-6)*4\/7. Solve -p = 3*p - 5*t - k, 5*t + 15 = a*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - -1 - (-2 - 0). What is the third derivative of -40*j**5 + 30*j**z + 85*j**5 - 40*j**5 wrt j?\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**2 + 65030*n - 195045 = 0.\nAnswer: 3, 13003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -1*(-22)\/8. Let t be (-4*23)\/(-39 - -4). Let o = 17\/7 - t. Sort 0.1, o, x.\nAnswer: o, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -10*u + 60. Suppose u*m = -5*m - 55. Let z(c) = -519*c + 4. Is z(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10\/36)\/((-1)\/(-87)) and 15\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*d - 17. Let w(m) = 6*m**3 - 4*m**2 - 6*m + 10. Let y(i) = -5*i**3 + 4*i**2 + 5*i - 9. Let h(l) = 4*w(l) + 5*y(l). Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xxtttx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -462636 or -462635?\nAnswer: -462635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85745, -171598, -257449, -343298, -429145, -514990?\nAnswer: -600833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 6*u**2 + 7*u + 2. Let i be o(-7). Let k = 3 - 3. Suppose k = -w + 5*t - 25, 4*w - 4*t + i*t = -10. Sort 3, 1, w in descending order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4\/2 + 1325*l**3 - 333885*l**2\/2 - 2420030*l + 29376400 = 0 for l.\nAnswer: -20, 8, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -6. Let l(a) = a**3 + 7*a**2 - 6*a - 4. Suppose 3*h = 3*t + 24, 2*t + 5 = -3*h - 1. Let p(r) = -r**3 - 6*r**2 + 5*r + 3. Give s*l(z) + t*p(z).\nAnswer: z**3 + z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -226cad - 0?\nAnswer: -226cad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -394*w**2. Let t(h) = -2*h + 169. Give t(s(n)).\nAnswer: 788*n**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11327457.9+-0.990566\nAnswer: -11327458.890566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33 - -14)\/19*3. Let g(o) = 3*o**3 + 2*o**2 - 8*o. What is g(p)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 4*m)*(0 + 2*m + 0 + (-1 - 1 - 1)*(-15*m + 2*m - 6*m)) to d + z*m**2 + k*m and give z.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -185*u - 60. What is the thousands digit of o(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1.18132.\nAnswer: -4.81868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.0261\nAnswer: -0.00522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -29403*b**3\/7 + 99495*b**2\/7 - 34941*b\/7 + 3249\/7 = 0.\nAnswer: 19\/99, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/19 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3309, 6161, 9019, 11883, 14753, 17629?\n\"Answer: 3*o**2 + 2843*o + 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1, 165?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 - 2*c + 3*c**2 - 24690*c**3 - 24679*c**3 - 3*c**2 + 49363*c**3 to the form q*c + i*c**2 + g*c**3 + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a**2 + 18*a**2 - 52*a**2 + 430*a**3 - 428*a**3.\nAnswer: 2*a**3 - 45*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*j**3 - 33*f*j - 116*f + 3*j - 2 wrt j.\nAnswer: -6*f*j**2 - 33*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/3? (a) 1 (b) 4 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - 50.9308.\nAnswer: -50.9008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10415034 (base 6) to base 7.\nAnswer: -2443546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(136\/(-51))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11656789.\nAnswer: 11656789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -19 + -13 + 25 + -77 - (4 + -18)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 0*i + g + 151 - 102, -3 - 9 = 4*g for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i. Let r(g) = -27*g + 23. Let v(y) = -74*y + 68. Let s(p) = -11*r(p) + 4*v(p). Determine f(s(x)).\nAnswer: -3*x - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/14275 and -61\/3425125.\nAnswer: 1955746375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 - -121. Suppose 5*t - k = 45, -4*k + 18 + 52 = w*t. Calculate the greatest common divisor of t and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - -2054 - (2220\/(-10))\/37 is divided by 206.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -658569 - -928565. Let x be g - 1\/((-1)\/4). What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/2 - 72745*b\/2 + 36375.\nAnswer: -5*(b - 1)*(b + 14550)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 589*r**2 + 588*r**2 - 1.\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 37626*x + 602558. What is y(16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 172.6323ml?\nAnswer: 0.1726323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + 16 + -79 - 49?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1081563*y**4 - 1371202?\nAnswer: 4326252*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 16) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-1080))\/(8\/60) - 4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 61*s - 1116. What is n(16)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + v**2)*(-100 + 702*v**2 - 701*v**2 + 7).\nAnswer: -v**4 + 93*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1276500, 2552966, 3829434, 5105904?\nAnswer: 6382376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 80. Let v be k(38). Factor -2*t**2 - 161 - 171 + v*t + 330.\nAnswer: -2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 - 93285*i**2\/2 + 681626925*i\/2 + 686930467125\/2.\nAnswer: 3*(i - 15995)**2*(i + 895)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9837*u + 9837*u - 1 + 9111*u**2.\nAnswer: 9111*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147165*s - 32 + 18 - 147164*s - 46.\nAnswer: s - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175234 and 5166?\nAnswer: 11039742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11466968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20*i - i**3 + 76*i**2 - 11 - 19*i**2 - 41*i**2. Is c(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110010101011101011 (base 2) to base 15.\nAnswer: 4179a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 942*r**3 - 2805*r**2 - 1866*r.\nAnswer: -3*r*(r + 1)*(r + 2)*(r + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4413\/7 + -630. What is the closest to 0 in b, 3.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 32, 3, -46, -121, -228, -373?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68046 times -0.73?\nAnswer: -49673.58","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -247, -394, -547, -700, -847, -982?\nAnswer: -1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 9*k**2 - 13*k + 16. Let y(b) = -2*b**2 + 3*b - 5. Let g be y(5). Let u = -50 - g. List the prime factors of s(u).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-2\/21)\/a))\/((a*a*a\/a**(-4\/9))\/a)*a**8*a**18 assuming a is positive.\nAnswer: a**(1679\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 10219994?\nAnswer: 10219994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -0.12 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 + 111.2. Let j = m - -23.7999465. What is j rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34004.982 + -34005. Put -1\/10, -3, q, 2, 0.05 in ascending order.\nAnswer: -3, -1\/10, q, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 3)*(-6 + 4 + 3)*((3*w + 2*w - 4*w)*(120 + 197 - 89) + 2 - 2 + 3*w) to j*w + c and give j.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 16*w**2 + 4*w + 19. Let h(g) = 3*g**2 + g + 4. Let f(c) = -2*d(c) + 11*h(c). What are the prime factors of f(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 15. Let i = 10 + -7. Factor -l**q - 2 - 2*l**3 + 3*l + 2*l**i.\nAnswer: -(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -698.3 and -0.3.\nAnswer: 209.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/3 - (-1)\/3. Suppose 4*c = -2*k - 2, b*c - c = -k + 5. Factor -11*i**2 + 2*i - 26*i + 8 + 0*i - k*i**2.\nAnswer: -2*(i + 2)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.14 + 0.03. Suppose 0 = 4*k - 30 - 18. Let z be (-45)\/k - (-6 + 1 + 2). Which is the smallest value? (a) v (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by (207\/(-46))\/(5\/100*-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 11) to base 4.\nAnswer: -1030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 7:41 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = -0. Suppose -h = w + u, -8 = -2*w + 2*h + 10. Suppose -2*j + w*j - 6 = 0. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-99 - -98) + (-12)\/((-9)\/3). Let i(t) be the second derivative of 0 - 8*t - 1\/12*t**4 + 0*t**2 + 0*t**q. Let z(w) = -w. Give i(z(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 13*s)*(-4 - 4 - 1)*(40*s**3 - 20*s**3 + 26*s**3).\nAnswer: 5382*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5)*k*k*k**(2\/7))**(-1\/4))**(-49) assuming k is positive.\nAnswer: k**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/4450 and 55\/12.\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t + 3*s, -3 = 3*s - 15. Solve 4 = 3*q - t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 396176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22945898 < 114729484\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5 - 1056*o**4 - 21336*o**3 + 70314*o**2 - 72411*o + 24486 = 0.\nAnswer: -22, 1, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 554263221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.97 + -8. Let q = 5.97 - z. Let p = -5.6 + q. Which is the closest to 0.2? (a) -1\/5 (b) 3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:38 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3754*i**2 - 687*i - 8137*i**2 + 4006*i**2 wrt i?\nAnswer: -754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d*d)\/d**(-7)*(d**(-4\/3))**(-14))**(-13\/4) assuming d is positive.\nAnswer: d**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 10*j**5\/13 + 168*j**4 + 121842*j**3\/13 + 283828*j**2\/13 + 210816*j\/13 + 46656\/13 = 0.\nAnswer: -108, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -358 divided by -9?\nAnswer: 358\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 377*m**2. Let r(w) = 166*w**2. What is x(r(g))?\nAnswer: 10388612*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**3 + 14*m**2 + 6*m. Let i be ((-3)\/2)\/((-6)\/(-16)). Let h be q(i). What is the second derivative of h - 34*x**3 - 8 - 14*x - 14*x wrt x?\nAnswer: -204*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435081410?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + x**2 + 1. Let k(b) = -7*b**3 - 8*b**2 + 8*b + 1. Let c(o) = -3*d(o) - k(o). Let z(v) = -v**2 + 5*v - 6. Let m be z(5). What is c(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by 1.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 9. Let l be s(7). Let h be (-3 + (-12)\/l)*5. Let k be h\/(-18)*(-12)\/3. What is the smallest value in k, 2\/5, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18, -28, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 10:26 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -250429.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 7*w**2 - w + 12. Let d be x(-5). Let c = d + 59. Suppose 5*g = s - c + 6, 156 = 4*s - g. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -99841*a*b*p**2 + 9*a*p**3 + 2*b*p**3 - 9*b*p - 12*p**2 - 4*p + 4 wrt a?\nAnswer: -99841*b*p**2 + 9*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51624*l**4 + 45691*l**2?\nAnswer: 1238976*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 - 434*o**3 + 1332*o**2 + 2624*o - 3520 = 0. What is o?\nAnswer: -220, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 412 + -112. Let b = r + -158. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 + -119.48. Let m = 3.52 - y. Which is the second biggest value? (a) 2\/13 (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*t = -161*t - 7688 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483295139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**3 - 69*p**2 - 35*p - 6. Calculate the least common multiple of 72 and m(12).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 46*o + 1. Let u(f) = -f**2 - 2*f - 12. Let d(z) = -3*z**2 - 9*z - 54. Let c(i) = 4*d(i) - 18*u(i). Calculate k(c(s)).\nAnswer: 276*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + (7 - -44) + -66?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*h - 231 + 974 = -2087 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16294596739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from wwqyqddqwllqqwwd.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 8 = -5*t. Let v(y) be the first derivative of 2*y**3\/3 + 13*y**2\/2 + 8*y + 2. Let b be v(t). Solve -5*x = -u + 15, 9 = -b*u - 5*x + 2*x for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 906406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3 + 126*o**2 + 2646*o + 18522 = 0. What is o?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/76100 and -107\/446800?\nAnswer: 340014800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3086, 3064, 3020, 2942, 2818, 2636, 2384?\n\"Answer: -2*u**3 + u**2 - 11*u + 3098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6060190, -6060191, -6060192, -6060193, -6060194?\n\"Answer: -k - 6060189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 m when three letters picked without replacement from {k: 1, m: 2, p: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(25 - 0) + (-36)\/(-180)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/2))\/(u*u*u**7*u))\/((u\/u**1)\/(u*u*u**(-2\/9)\/u)) assuming u is positive.\nAnswer: u**(-139\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115 and 9085.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2721 + 15466. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -b - 5*l + 7, b = 5*l - 2. Suppose b + 4 = j. Is 23\/(j\/28 - (-1)\/(-20)) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0283198 kilograms in nanograms?\nAnswer: 28319800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17480 or -2?\nAnswer: 17480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -57e (base 15) to base 6\nAnswer: -5432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 4*s + 16, 4*c = -1806*s + 1802*s - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 v, and 1 c when four letters picked without replacement from {z: 1, o: 9, c: 1, i: 5, v: 1}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 - 3*s - 3. Let l be h(-1). Let j be 8 + -5 - l*-1. Solve j + 0 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006 plus 22452.598584?\nAnswer: 22452.604584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 81\/6 - (-3)\/6. Let y(b) = 13*b - 6*b + t*b - 5*b. Let i(g) be the first derivative of -2*g**3\/3 - 5. What is i(y(q))?\nAnswer: -512*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66121 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -2\nAnswer: 145\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**4 + 40*o**3 + 100*o**2 - 40*o - 96 = 0.\nAnswer: -2, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 + x**2 + 8. Let o be d(2). Put 269, 4, o in descending order.\nAnswer: 269, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249158161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 1. Suppose -3*v - 3 = -3*k, 7*v - 4*k = 8*v + 1. Let w(q) = -7*q - 2. Give v*w(r) - 2*g(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -587\nAnswer: -38\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12201 + -11?\nAnswer: 12120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-190)\/4*(0 - -4). Let v = 74 - w. Suppose 0 = -0*f + 6*f - v. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4\/5, -8, -614\/107, -2\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 - 177. Suppose -2*a - 28 = h, 3*h - v*a + 76 = -10*a. Sort h, 0, 1\/4.\nAnswer: h, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:13 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - -3 - (-314 + -14).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325694205 to the power of 1\/2, to the nearest integer?\nAnswer: 36410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 7:18 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2 + 0)*(-5 - 2 + 2) + 2 - 3 - 1)*(3*f + 5*f - 3 - 3*f) to x + q*f and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 3)*(3 + 2 - 3) + 7 - 1 + 14)*(-2*n + 3*n - 5*n)*(-n**3 + 4*n**3 - 5*n**3).\nAnswer: 192*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_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: Does 49 divide 110693782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -16*l - 12. What is the greatest common divisor of l and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/7 + -2 + (-2)\/7. Let m(g) = 0*g + d*g - 31 + g**2 + g + 47. Does 49 divide m(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 2*c + 5*t, 0 = -4*c + 197*t - 198*t + 133. Calculate the remainder when 5663 is divided by c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601850 rounded to the nearest 10000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(0 + 1 - 2) + 3 - 5 - 2 - 2 + 7 - 1)*(-3 + 1 + 3)*(-7 + 8 - 41)*(1 + 7 + 1)*(0*m**4 + m**5 + 0*m**4).\nAnswer: 720*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 23 = 5*q - 2*x, x = 12*q - 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2\/9 (c) 1\/3 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4*l - 2 = 14, 0 = 3*s + 3*l + 12. Suppose -5*g = -5*i - 35, -i - 27 = -5*g - 0*i. Solve s + g = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 171\/448 - -3\/64. Which is the nearest to 1\/3? (a) -68 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b**2 - 3*b)*(-1 + 3*b**2 + 1) + 0*b**3 + b**4 + 0*b**3.\nAnswer: -5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:19 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by 2?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1988, 1995, 2006, 2021, 2040, 2063?\nAnswer: 2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8582?\nAnswer: 2, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 8*s - 10*s + 3, -4*l - 8 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -102 (b) -2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 38*u - 36*u. Let f = 2.03 + -0.03. Let m = -1.9 + f. Put 0.3, u, m in decreasing order.\nAnswer: u, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/6 - 1165*d**4\/6 + 55458*d**3 + 645582*d**2 - 3408048*d - 14521248 = 0.\nAnswer: -14, -3, 6, 588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -3\/25*d**5 - 3\/5*d**3 + 0*d - 3\/10*d**2 + 2 - 9\/20*d**4. Suppose w(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6396.88 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 - -0.434940469.\nAnswer: -54.565059531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 45. Sort 5, -2, -1, s in ascending order.\nAnswer: s, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 4*t - 5, -p - 3*t + 19 = 0. Suppose -10 = -h + 2*u, -2*u = -3 + p. Solve 8*a - 8 = h*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 650 + 1085. Suppose 2*h - 998 = 1084. Suppose -3*w + 0*w = -3*n - h, 0 = 5*w + 2*n - a. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2284\/189 + -75\/7. Find the common denominator of m and 580\/40*(-2)\/(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3096755747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j + 506729 - 507097 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 229.79 - 231. Round c to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 3 - 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 107 - b53?\nAnswer: -a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-8 - -11) - -14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 81\/18*(-10)\/(-8)*7\/315. What is the biggest value in 1\/6, 1\/4, 1063, k?\nAnswer: 1063","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*t = 12, -22 = -4*b - 0*t - 2*t. Let m(f) be the third derivative of -f**4\/12 + 3*f**3\/2 + 10*f**2 + 3*f. Calculate m(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1290)\/72 - ((-207)\/108 - -2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3106*v + 78 = -3080*v. Let p(k) = 26*k + 6. Let w(o) = 3 - 5 + 0 - 9*o. Give v*p(f) + 8*w(f).\nAnswer: 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46673\/2 - -23339. Factor r*v + 3\/2 - v**2.\nAnswer: -(v - 3)*(2*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (40\/(-18))\/10 - (-688)\/18. Is ((156 - 4) + 6)\/(4\/b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-63)\/(-28))*(-42)\/(-28))\/(20\/2700)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r - 2*r + 16*r - 55 + 9091*r**2 - 10*r. Let y be z(-11). What is y rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 26\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1919*w**3 - 1920*w**3 + 4*w**2 - 2*w**4 + 4*w - 6*w**2 to d*w + l*w**2 + u*w**4 + f + z*w**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091750749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 34*a + 3*a**2 - 2*a**2 + 2*a**2.\nAnswer: 2*a**2 + 34*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 4. Suppose 5 = 5*l - 130. Let d = -7 + l. Suppose -d = -3*u + 2*s, 2*u = 6*u - 2*s - 26. What is f(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 976949 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**2 - 6*j + 29. Let k(s) = -7*s**2 - 6*s + 36. Let w(m) = 2*k(m) - 3*z(m). Let f(y) = 4*y**2 + 3*y - 8. Give 11*f(l) - 6*w(l).\nAnswer: 2*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t + d, 3*t + 0*t = 3*d + 18. Let v be (-38)\/(-6) - 1\/t. Solve q = 0, -u + v*u - 2*q = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 + 88*j - 484. Let g be o(5). Let y = -4.8 + 2.8. Sort -5, g, y.\nAnswer: -5, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z + 8*z - z**4 + (-z**3 - 2*z**3 + 4*z**3)*(5 - 5 - 2*z) in the form v*z**4 + d*z + b*z**2 + p*z**3 + c and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12632 + -12648. Which is the closest to i? (a) 2 (b) 3 (c) 0.1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 51 = -57. Suppose -29*j + q*j = -10. Let p(r) = -2*r**2 + 11*r - 5. Let v be p(j). Solve -3*s + a = 11, -5*s + a - 3*a - 22 = v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 - (-12 + 7)*11. Calculate the highest common divisor of 712 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -60 - 52. Let l = -59 - p. Let u be ((-8)\/70)\/(6\/15). What is the nearest to 0 in u, -2, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63 - -67 - (-31 + -31)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.2 - -6.2. What is the second biggest value in m, 0.08, -1\/6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 7*d + 91, 9*a + d - 20 = -7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2205105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13, -17, -31, -61, -113?\n\"Answer: -y**3 + y**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104655330 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001021 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -260 + 463. Let g = q - 202.9999891. What is g rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5612*x**2 + 189*x**3 - 2806*x**2 - 2808*x**2.\nAnswer: 189*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 4 + 2)*(2*l**2 - 2 - 2*l**5 - 2*l**2).\nAnswer: 32*l**5 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 596925.2 litres to millilitres.\nAnswer: 596925200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6479 and 475.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169727569?\nAnswer: 11, 15429779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + d + 4*d + 4, -d + 10 = -5*l. Let w be -4*(l + (-43)\/(-22)). Let m = 0.46 + 0.04. Which is the second biggest value? (a) w (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*b + 22*b + 33229716*b**2 - 33229717*b**2.\nAnswer: -b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 + 214. Find the second derivative of -4 - 29*x**5 - 2*x + 7 + o + 6*x**5 wrt x.\nAnswer: -460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 27*f - 37. Let t(x) = 233*x - 1659. Let g be t(7). Calculate z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(3 + 4*-2*sqrt(112) + -2 + sqrt(112) + sqrt(112) + 5))**2.\nAnswer: -4608*sqrt(7) + 65088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 - 157*u**2 - 4 + u**3 - 13*u + 0*u**3 + 144*u**2 - 3. Calculate h(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 51 + 30 + 197*m + 122*m. Is j(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a + u - 28 = 2*a, 5*a - 19 = 2*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -82*t - 8. Let k be o(-6). Suppose 5*u - 3941 = k. Let r = u + -565. What is r rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 995961251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46100, -46391, -46684, -46979, -47276, -47575, -47876?\nAnswer: -48179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/21*(-3)\/(-2). Suppose x - 29 - 67 = -4*t, 0 = 2*x - 3*t - 170. Let j = x + -90. Which is smaller: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 5)\/((-243)\/(-810)). Put 1, -1, -2, k, -4 in ascending order.\nAnswer: k, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2. Let r(b) = -7*b. Give z(r(x)).\nAnswer: 196*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -268*k**4 + 425*k**3 - 14663*k**2 + 8*k.\nAnswer: -6432*k + 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 37264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19415 - 19616. Is -248 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -466 + 883. Suppose -4*p + 416 = j + 3*j, 0 = 4*j + 5*p - r. Find the third derivative of 103 + 42*m**2 - 2*m**4 - j wrt m.\nAnswer: -48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 798754 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o - 6. Let y be j(-5). Let p(x) = x**3 - 4*x**2 + x + 5. Let f be p(y). Let m(q) = -q**2 + 12*q - 10. What is the tens digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unndrrnrdur. Give prob of picking 1 r and 2 n.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19547689 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y = -19*y + 80. Calculate the lowest common multiple of -13 + 12 + 1\/((0 - -2)\/12) and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + 1 + 4 + (1 + sqrt(80))*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from {i: 1, f: 2, k: 2, v: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.0870485t?\nAnswer: 87048500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 2 (c) 1\/5 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 197 + -80. Let v = 120 - t. Solve -v*n + 1 = b, b - 2*b + 1 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -31. Let b(c) = -4*c**2 - 2*c - 2. Let p(o) = 7*o**2 + 4*o + 3. Calculate d*b(l) - 3*p(l).\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079 a factor of 5454345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g. Suppose 1 + 1 = c. Suppose -c*a + 1 + 5 = 0. Let m(n) = 2*n - n - 3*n - a*n. What is j(m(d))?\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350155202 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -2\/5 (c) -858\/5 (d) -1\/3 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*2 + -3 + sqrt(117)\/(sqrt(36)\/sqrt(4)).\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/280 and -149\/210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 3029598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/7*x - 4\/7*x**3 + 0 + 2\/7*x**2 - 2\/7*x**4.\nAnswer: -2*x*(x - 1)*(x + 1)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - o + 28728 = o, 0 = 5*q - 4*o - 71838. Suppose -4*a - 3394 + q = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 412 + 12202?\nAnswer: 13014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533243.\nAnswer: 3, 19, 37, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -3*x**5\/5 - 3*x**4\/4 + x**3 + 3*x**2\/2 - 21. Factor r(z).\nAnswer: -3*z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 + -37 - -18) + 5 + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(12)\/(sqrt(2) - (sqrt(8)\/sqrt(4) - sqrt(2))))\/(sqrt(300)*1 + sqrt(300))*2.\nAnswer: sqrt(2)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 18*l - 10. Let s(y) = -3*y + 1. Let k(h) = 6*s(h) - u(h). Factor k(b).\nAnswer: -(b - 4)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -434 + 434 - 274*i**2.\nAnswer: -274*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1804796 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**8\/336 - 917*g**5\/30 - 23*g**4\/8 - 5*g**3\/6 - 141*g**2 - 9. Find the second derivative of q(p) wrt p.\nAnswer: -20*p**3 - 3668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3933199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 31414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 442758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 o, and 1 w when four letters picked without replacement from eeewxoeoelooeox?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2690 divided by 72292.\nAnswer: -1345\/36146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 189425160 minus -1174.705?\nAnswer: 189426334.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4 = -f, -4*f + 713 - 349 = -5*w + 359 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**(1\/25)*g*g*g)\/(g*g**(-2\/5)) assuming g is positive.\nAnswer: g**(136\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i - 1. Suppose -56 = 31027*d - 31013*d. Determine p(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5 + (sqrt(612) + 0)**2.\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + 2*g - g)*(5*g - 5*g - g) - 24 + 47 - 18 + g**2 to the form c + w*g**2 + h*g and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -107 in 3, 1\/3, 923?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 259776 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396682, -1586717, -3570102, -6346837, -9916922, -14280357?\nAnswer: -19437142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(2\/(-4)*3). Let a = 9 + -4. Suppose -5*h - 30 = -4*o, -16 = -o + a*h - 1. Sort j, 2, o in ascending order.\nAnswer: j, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -3\/278 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35 - -41. Let i be 7 + -2 - (q - -2). Suppose 4 = -5*y + 4*y. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 2:04 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3*q - 11, -y = 4*q - 3*q - 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -21 - 2*a**3 - 1 - 7*a**2 + 5*a + 31. What is the remainder when 78 is divided by o(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + o + 2177. Let p = o + -108. What is the common denominator of p\/5 + 14\/35 + -1 and -73\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) -11 (c) -28 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*s - s - 2 = 0, 2*n = 3*s + 41. Let x = 19 - n. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 97, 132, 149, 142, 105, 32, -83?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 0.2, 0.5, 1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49928b (base 13) in base 4?\nAnswer: -12232102033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 6. Let l be r(10). Let j be (8\/(-66))\/(6\/9). Let c = -65214 - -65212. What is the fourth biggest value in j, l, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.966, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -136*(-22 + 20 - (-3)\/2). What is the highest common factor of 85 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64840.19l?\nAnswer: 64840190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 + 5 - 170 + 4 + 5*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107714 is divided by 4788.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3686173*w**3 + 1133*w**2 - 926*w wrt w?\nAnswer: 22117038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 + -43. Let h = 31 + b. What is the highest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**4 + 51668621*j**3 - j**2 - 114490929*j.\nAnswer: -24*j**2 + 310011726*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 2*i - 12*i - 14 + 4*i. What are the prime factors of a(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 + 4976?\nAnswer: 4976.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 2778 - 5553 + 2775. Let n(x) = -974*x. What is n(i(h))?\nAnswer: 1948*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x + 4*i = -19359, -x = 2*i - 6453. Let f = -1668 + x. Suppose 4770 = 4*t + t + m, -5*t = 4*m - f. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1453*g - 8053. What is the units digit of a(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -685, 1\/11, -3, 8, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2\/7*r**5 - 2*r**3 + 0*r + 8\/7*r**2 + 4\/7*r**4 + 0 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -211.3 and 13.9?\nAnswer: -2937.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*y + 126, -14116*r + 14119*r = 2*y - 87 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187 = 62922*t - 62911*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 686*y - 45538. Give f(-253).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 6*p**2 + 4*p - 1. Let s be m(3). Let i(d) = d + 18. Let k be i(s). Suppose k*w = -0*w + 1318. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-357)\/1105 - (-2)\/(-26). Which is the nearest to r? (a) 0.04 (b) 36 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14536*l**4 + 14538*l**4 + 0*l**2 + 26*l - l**3 - 2*l**2 as d*l + t + p*l**3 + y*l**2 + o*l**4 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 - 4*z - 1. Let m be n(-3). Let f = 15 + m. Suppose -f = -i - i. What is the greatest common divisor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 241 and 5?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174654233.\nAnswer: 13, 1033457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 - 2*l**4 + 7*l**4 + (-144*l**2 + 313*l**2 - 154*l**2)*(l**2 + l - l) to y*l**3 + s*l + n + h*l**2 + f*l**4 and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (3 + sqrt(75) + -3 - (sqrt(75) - ((1 + sqrt(75) - sqrt(75))**2 + -3)))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39 from -596502179.\nAnswer: -596502218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.156 - -128.156. Let g = 298 - f. Let b = g - 170.101. Round b to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 6947 = -3436 - 3479 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 8*p - 8. Let x be z(7). Let c be 3 + x + -6 - -3. Let q(v) = -4*v - 1. Calculate q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.14403 - -11.95003. Round c to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 4 (c) -5\/3 (d) -2\/43 (e) 2\/3 (f) 3 (g) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - y**3)*(0 - 10*y**2 + 11*y**2 - 2) + (-3*y + 3*y - y**3)*(-7855*y + 7855*y + 522*y**2).\nAnswer: -523*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h + 4*h**2 + 0*h**5 + 2\/315*h**7 + 0*h**4 + 1\/1008*h**8 + 1\/90*h**6 + 0*h**3 + 0. Suppose s(p) = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/(1\/3). Let i(m) be the first derivative of 2*m**3\/3 + 3*m**2 + 2*m - 9. What is i(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b)\/(b*b**(-1\/14)*b)*b\/(b\/b**(-4\/5))*b*b**3*b assuming b is positive.\nAnswer: b**(439\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, f: 1, h: 2, q: 1, u: 2}. What is prob of sequence qgu?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/5*b + 1\/5*b**2 + 6\/5.\nAnswer: (b - 6)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 210 + (12 - 9 - (0 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 5*i - 4. Let c be g(-6). Let q(t) = 2*t - t - 3 - 2*t + t**3 - 2*t**2 + 4*t. What are the prime factors of q(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 57703152?\nAnswer: 57703152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 10, 4.\nAnswer: -1, 0, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k\/(k\/(k**6*k))*k))\/((k**1\/k)\/k))**(-50))**(1\/7) assuming k is positive.\nAnswer: k**(400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.07 - -0.07. Let d = -4.87 + -0.13. Let f = d - n. Which is the nearest to -2\/7? (a) 5 (b) f (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18519*i**2*m**3 - 36291*m**3 wrt i?\nAnswer: -37038*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 2 - 14 = 10*s, 0 = -61*h - 2*s + 114 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 6. Let q be b(0). Let t be ((-80)\/15)\/4*(-9 - -4). Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69432 - -111311. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) + (-40)\/480. Let n = -0.04 + 1.14. Let h = 0.6 - n. Which is the third biggest value? (a) 0.1 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.189 + -0.011. What is the second smallest value in q, -3, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -251.163 + 216.26. Let w = t + 35. Let y = w - 2.877. What is y rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90939450?\nAnswer: 2, 3, 5, 7, 257, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 48 = -38, 3*w = -3*q + 3651. Calculate the highest common factor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 40. What is the smallest common multiple of d and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y. Let q(w) = 104170*w**2 + 2. Calculate q(c(g)).\nAnswer: 2604250*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 747*d - 15160. What is w(-21)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110018299 and 193.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -228339.4.\nAnswer: 1141697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u + 4. Let z(i) = 3*i - 3. Let m(j) = -3*h(j) - 4*z(j). Let x(g) be the first derivative of -g**3\/3 + 16. Calculate x(m(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 4*y**2. Let h(j) = -5 + 4*j**2 - 3 + 8. Determine k(h(z)).\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(1 + 2*v - 1) + 0 - 19*v + 3 + 11*v in the form d*v + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 825603100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 4)*(-9 + 9 + 7*r) as m + g*r and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -18*z. Let n(o) = -11*o + 42. Let a(i) be the second derivative of i**3\/6 + 7*i**2\/2 + 58*i + 1. Let x(u) = -6*a(u) + n(u). Give x(s(k)).\nAnswer: 306*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -15*d**2 - 12*d - 3. Let o(g) = -6*g + 14*g**2 - 10 + 10*g + g**3 + 12 + 8*g. Let u(r) = 3*o(r) + 2*p(r). Determine i so that u(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263*m - 225*m - 498370 = 0. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*j*y**2 + 4*h**2*j + 3*h**2*y**2 - j*y - 2*j - 201*y**2 + 4*y wrt y?\nAnswer: 4*h**2*j + 6*h**2 - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22084957 or -22084956?\nAnswer: -22084956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - 4*v + 9*v)*(0*v**2 + v**2 + 4 + 0*v**2) + 0*v**3 - 2*v**3 + 0*v**3.\nAnswer: -v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 19 + 91. Suppose 130 = 3*v + 5*k, v - 19 = -k + 23. Suppose -2*u + v = 3*u. Calculate the lowest common multiple of x and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 9, -2*q = 2*u - 0*q - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 5. Let a be m(4). What is the units digit of ((-68)\/(-28) + a)*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/((2 + 2)\/2). What is the third derivative of 21*l**2 - q*l**6 + 297*l**4 - 297*l**4 - 25*l**2 wrt l?\nAnswer: -2040*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24607 (base 8) to base 10\nAnswer: 10631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*f + 12, -5*h + 0*f + 2*f - 1 = 0. Let k = 0.06 + -0.46. Let n = k - -0.3. What is the third biggest value in h, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 25*g - 261. Let r be j(-20). Let l = -769 - r. Let z(h) = -5*h**2 + 2*h - 1. Let k be z(1). What is the third biggest value in 3\/5, -0.2, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 709*x**2 - 23*x + 385. Let i(z) = -115*z**2 + 4*z - 64. Let j(n) = -6*h(n) - 37*i(n). Calculate j(13).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 = -2*k + 3*g, 2*k + 12 = -5*g. Calculate the remainder when 33 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*j**2\/9 + 118*j\/3 + 88\/9.\nAnswer: 2*(j + 44)*(4*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.6 - 26.17. Let k = 0.57 + q. Let u = 13.99999836 + k. What is u rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**7\/350 - 3*a**6\/100 - 11*a**5\/100 + 3*a**4\/2 + 10*a**3 + 80*a**2. Factor q(g).\nAnswer: 3*(g - 5)**2*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*c - 732, -4*c + 976 = -0*c - 4*n. Let s = c + -153. 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 = 3*x - 11 + 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 58.9. Let s = x - -2.9. Let t = 1.1 - 6.1. What is the second smallest value in -0.3, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1155987 and 4543.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 3. Let u(r) = -r - 3. Let y(s) = -2*j(s) + 3*u(s). Let q(k) = -k**3 - 5*k**2 + 2*k + 7. Let a be q(-5). What is y(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-252)\/72 + 29\/(-1))*-1.\nAnswer: 65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-2)*(-4)\/(-5). Let d be (-19546)\/(-15) - f\/(-15). Let l = -1287 + d. What is the common denominator of l and 38\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**7\/105 + 31*r**5\/60 + 311*r**4\/24 + r**2 + 7*r. What is the second derivative of n(o) wrt o?\nAnswer: -24*o**2 + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*y - 5*b = -97*y - 48, 4*y - 2*b = -48. What is the closest to 43 in 3, -0.1, -2, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.195 != 13.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 31*v + 96. Let k be l(-18). What is the third derivative of k*f**3 - 335*f**3 + 61*f**2 + 7*f**2 wrt f?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 1:28 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -11. Suppose 5*i + 4*a = 33, n = 3*i - a - 3*a - 7. What are the prime factors of ((-12)\/i)\/((-8)\/140)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 10 - 12 = 0. Suppose q + z = 10. Let g(a) = -4*a + 1. Let d be g(q). Solve d*t = -x - x, t = -4*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 4*w - w)*(w - 4*w - 6*w)*(5*w**2 + 3289*w - 3289*w) to the form z*w**2 + g*w**4 + y*w + s + x*w**3 and give g.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1. Let c(w) = 3*w**2 - 2*w - 4. Let m(n) = c(n) + 5*k(n). Let g(u) = 16*u**2 - 10*u + 5. Determine 2*g(v) - 11*m(v).\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (11 - 16) - (-1 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 6*x + 3*x - 2*x - x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*(-400)\/120.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 2. Let n(b) = 3*b - 3. Let s(o) = -3*o + 4. Let f = -291 - -295. Let k(q) = f*n(q) + 3*s(q). Determine k(m(u)).\nAnswer: 9*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 40100 to the nearest one thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4787\/4 - -1196. Which is the closest to -0.1? (a) -3 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/60 - a**4\/12 - 2*a**3\/3 + 5*a**2 - 2. Give h(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 8*c - 16. Let t be p(-10). Solve -t*b = -8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -3 - 5) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 5. Suppose b - y = -4*b + 10, 0 = -2*b - y + 11. Let o(x) = 4*x - x - x**3 + 7 - b*x. What is 5*o(t) + 7*r(t)?\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 373 + -203. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4823*s + 112. Is g(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*f - 19 = -0*f, 5*f = -3*k + 29 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1, 0.177, -9, -1\/13?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 13750*c - 9. Let d(q) = -q. Calculate d(w(s)).\nAnswer: -13750*s + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2*u - 4*u)*(-902*u - 2853 + 2853).\nAnswer: 2706*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**7\/42 + 26*m**5 - 956*m**4\/3 - 478*m. What is the third derivative of g(u) wrt u?\nAnswer: 60*u**2 + 3120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128677, -128673, -128667, -128659, -128649?\n\"Answer: h**2 + h - 128679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70417 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**3 + 21*k**2 - 43*k + 7. Suppose -5 = -4*s - 21. Let z(p) = -p**3 - 7*p**2 + 14*p - 2. Let n(x) = s*m(x) - 14*z(x). Suppose n(y) = 0. What is y?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 - 9. Let f(n) = -n. Give f(b(k)).\nAnswer: -7*k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 220, 221, 222?\n\"Answer: l + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*j)*(1 + 4 - 3) + 0*j + 3*j + 0 - 1.\nAnswer: 9*j - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 7:38 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/41, 1036.8, 3\/5 in increasing order.\nAnswer: -1\/41, 3\/5, 3, 1036.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1804 - -5414\/3. What is the closest to 14 in 1\/7, -2\/5, -2\/9, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 64713007 - -42?\nAnswer: 64713051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 - 3*o**2 + 4*o**2)*(2 + 1 - 1)*(-2*o**2 - o**2 - 2*o**2).\nAnswer: 60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**4\/24 - w**3\/6 + 113*w**2. Determine c(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-11))\/(2\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 45.\nAnswer: -5, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(64 - (-9 + 62))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*i = i + 2, -5*h + 14 = -4*i. Let n(d) = d**2 - 2*d + 3. Let m be n(h). What is the first derivative of -2*b**3 - 3 - b**m + 1 wrt b?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2522331 = -2*o - 9722334, -2*o = c + 7200001. What is o rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3744 + 3758. Suppose -r + 2*r - 1 = 0. Solve 13*a + r = o*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**2*s**3 + 52*q**2*s*t**3 + 51*q*s**3*t**2 + 2*s**3*t**3 wrt t?\nAnswer: 312*q**2*s + 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 828 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1419156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 72 = 26*b. Calculate the remainder when 177 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0376242386245 - 0.3?\nAnswer: -0.2623757613755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c. Suppose -3*n + 20 - 74 = c. What is the units digit of (n\/(-12))\/((-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -21. Let x = p + -1. Let j(l) = -14*l + 28. Let t be j(2). Is t smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*q + 111 = 0, 5*x + 2*q - 109 = -q. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + 1 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 + 0 = 0. What is the second derivative of 75*k - 22*k**5 + 4*k**q + k**3 + 16*k + 43*k wrt k?\nAnswer: -360*k**3 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000040627 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34518*p**2*r + 2331*p**2*t - 22*p**2 - 2*p*r*t + t wrt r?\nAnswer: 34518*p**2 - 2*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61040741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = 3*d, -4*d + 2*v - 1 = -3*v. Let i be 1 + d + -1 - -2. Solve 0 = -0*u - i*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1530 and 376992?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*h**5*v**2 + 129979*h**2*v**2 + 4*h*v**2 - 9*h*v - 16*h - v**2 + 2 wrt h.\nAnswer: -360*h**3*v**2 + 259958*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 0, x = 4*q + 4 - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(86 - 49 - 53)*(-4 + 5 - 2)*(-1 + 2 - 3)*(2*o + 3 - 3).\nAnswer: -64*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i**5\/9 - 22674*i**4 + 142862*i**3\/9 + 20408*i**2\/3 = 0. What is i?\nAnswer: -10204, -3\/10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38072 and -0.21?\nAnswer: 0.0799512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 32*u - 43 - 26*u - 13*u**2 + 13*u + 26. Calculate v(11).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1994*m*v**3 + 552*m*v**2 - 335*v**3 + 4*v**2 + 1691*v + 57 wrt m?\nAnswer: 1994*v**3 + 552*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -0.2, 58, -370 in decreasing order.\nAnswer: 58, -0.1, -0.2, -0.3, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116868 - 198884 = -58*s. What is the remainder when s is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 619 + -364. What are the prime factors of g?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/11)\/t**(2\/39)*t*t\/((t**(-10)\/t*t)\/t)*t*t*t\/((t**(-40)*t)\/t) assuming t is positive.\nAnswer: t**(23924\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**5\/15 - 8*o**4\/5 + 28*o**3\/15 + 8*o**2\/5 - 26*o\/15 = 0.\nAnswer: -13, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 7*v + 5. Let l be r(6). Let x be ((-3)\/21)\/(l\/2). Which is the closest to 2\/5? (a) -1 (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-1\/2)\/d))**(-2\/5)\/(d**(2\/37)*(d**(-14)\/d)\/d) assuming d is positive.\nAnswer: d**(553\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 66*l**3 - l + l.\nAnswer: 79*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**4)**(1\/40)*(i*i**(-3)\/i)\/(i\/(i\/(i*i**(-9)))*i))**(-39) assuming i is positive.\nAnswer: i**(-1599\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:14 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 1. Let o(d) = -5*d - 4. Let l(a) = o(a) + 4*s(a). Let w(k) = 2*k**2 + 27. Give w(l(y)).\nAnswer: 2*y**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/(4*sqrt(81)\/sqrt(9)) + -3)**2.\nAnswer: -9*sqrt(5)\/2 + 189\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 24, 41, 64?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010 = -640*i + 13170 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 634150?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - p + 8. Suppose p*b - 7 = b. Suppose -r - b = -6. What is the closest to -4 in r, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.082126301 and -0.1.\nAnswer: -0.017873699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -5. Let r = -1 - z. Let v(l) = -4 + 3 + r + 6*l**3. Calculate v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 52. Let o be (-1)\/(1 + (-15)\/g). Let f(h) = h**3 + 2*h**2 - 6*h - 4. Calculate f(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-2)*(249\/(-9) - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*t**3 - 30 - 29 + 112*t**3 + 58.\nAnswer: 5*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4029*a**5 - 41624*a**4 + 643390*a**3 - 394936*a**2 - 203257*a + 456 = 0.\nAnswer: -19, -1\/3, 3\/1343, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11344 - 11324 = -2*f - 4*y, -5*f + 2 = -3*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 - 68 = -17*v + 53 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-15) + (-8)\/(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212 is divided by 256?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 6*f + 1. Let x = 15 - 9. Let i be r(x). Suppose 3 = 2*y + i. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 64*o**2 + 16*o - 28. What is the tens digit of l(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-1))\/(1 - 3). Suppose -h*l - 21 = 39. Let f = l - -29. 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: What is 505 minutes before 3:32 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(190)*1 + sqrt(190))\/sqrt(10).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 206032 and 5767?\nAnswer: 15040336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1134344110 (base 5) to base 9.\nAnswer: 4883241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7071163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -1348, -4955, -11966, -23515, -40736, -64763, -96730?\n\"Answer: -189*m**3 - m**2 - 11*m + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.35 and 1829?\nAnswer: 1828.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 4, i: 4, w: 1, e: 2, a: 3}. What is prob of sequence iett?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 74830, 149670, 224512, 299356, 374202, 449050?\n\"Answer: h**2 + 74837*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913355 is divided by 913342.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2337*u**3 - 3*u + 2. Let l be y(2). Round l to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 9228.\nAnswer: -9230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -35*t. Let x(w) = -w**2. What is x(n(v))?\nAnswer: -1225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37660676 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(2200) + (sqrt(2200) - ((sqrt(2200) - -2*sqrt(2200)) + sqrt(2200) + sqrt(2200))))\/(-1*sqrt(32)) + 5*-6*(3 + sqrt(539)).\nAnswer: -811*sqrt(11)\/4 - 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 55 = -25. Let s be 4\/q*4\/(-4)*0. Let m = -67 + 470\/7. Sort 4, m, s in descending order.\nAnswer: 4, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffyyyf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -121766, -121760, -121754, -121748, -121742?\n\"Answer: 6*v - 121772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 40, 15, -50, -161, -324?\n\"Answer: -m**3 - 14*m**2 + 24*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6143?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 130*r**2 + 24*r - 829. Let l(y) = -y**2. Calculate t(l(a)).\nAnswer: 130*a**4 - 24*a**2 - 829","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 + 3*i. Let m be a(-5). Suppose -m*v + 519 + 141 = 0. Let g = v + -50. Calculate the greatest common factor of 24 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9272 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 6*r + 70. Let y = r + 13. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + (-95 - -46) + 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13885559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let a(r) be the first derivative of -r**4\/4 - r**3\/3 + 2*r + 1. Is 10 a factor of a(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 12*f**2 + 3*f - f.\nAnswer: 12*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1.7 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -21\/11 less than -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/3 + 2\/(-6). Let l be -5*s*(-2)\/(-10). Solve -n - 2 - l = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*((-3)\/3 + 3). Suppose -x + d - 5*d = -21, -2*x + 5*d = j. Suppose 0 = -x*w + 20. Calculate the highest common factor of w and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13e - 10?\nAnswer: 12e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112929*l + 112929*l + 1431*l**2 + 0 + 1 - 1.\nAnswer: 1431*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87\/11 + 283\/33. Let b(u) be the first derivative of -16\/5*u**5 + 8 + 6*u**4 + 0*u + q*u**6 + 2*u**2 - 16\/3*u**3. Suppose b(k) = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 - -63. Suppose -7 = -q*o + 5. What is the lowest common multiple of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.134 to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w - 36 = 0. Let a = 7 + w. Let v be -14*3\/15*a. What is the greatest common factor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + -42*3\/9. Let h(y) = 11*y**2 + 11*y - 4. Let g(k) = 5*k**2 + 6*k - 2. Determine x*g(n) + 4*h(n).\nAnswer: 9*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -8. Suppose 9 = -y*n + 6*n. Solve -4*z + p = -2*z + 7, -4*z - n*p - 19 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 + 12*l + 17. Let j be b(7). Solve -4*v = -3*v + j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w - 17. Let b(i) = -2*i + 1. What is -6*b(x) - u(x)?\nAnswer: -6*x + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 38050172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6424 + 33298. Let k(t) = 26874 - a + 49*t. Let c(p) = 6*p - 5. Let j(s) = s - 1. Let m(v) = -c(v) + 5*j(v). What is k(m(l))?\nAnswer: -49*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 55*y + 3680. Give z(-67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19465471*l**5 + l**4 - l**3 + 7499410*l**2 - 7*l wrt l?\nAnswer: 1167928260*l**2 + 24*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*a - 5 = 4*a, -5*x = 5*a + 35. Let p = x + 5. Find the third derivative of k**p + k**3 - 3*k**3 + k**2 wrt k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) 59 (c) -1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -3a08?\nAnswer: -3a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 4706*p + 472080.\nAnswer: 2*(p - 2248)*(p - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeyeiyeye. What is prob of picking 1 i and 3 y?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3080 divided by 10?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 273 in 1\/3, -5\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36443, 145798, 328063, 583238?\nAnswer: 911323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001111110111111011101101 - 0?\nAnswer: 10000001111110111111011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(2*y - 2*y - y**3) + 402 - 2428*y + 2428*y + 251 + y**3.\nAnswer: 2*y**3 + 653","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 51. Let y be ((-1)\/(-2)*0)\/1. Which is the closest to y? (a) -0.4 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36914016 is divided by 127730?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.098966 and -0.4.\nAnswer: -0.498966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**4 + 1917*n**3 - 2*n**2 - 1158607*n.\nAnswer: -12*n**2 + 11502*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + 1 + (1 + -4 + sqrt(162) - (0 + sqrt(162) + 2)) + 3)**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -137*i + 153*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -w**6\/120 - w**5\/10 - w**4\/6 + w**3\/3 + 4*w**2. Let t be x(-6). List the prime factors of ((-1)\/2)\/((-1)\/t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t)*(0*t**3 + 0*t**3 - t**3) + (-15 + 42*t + 16*t + 14)*((-3*t - t + 6*t)*(1 - 3 + 4) + 6*t - 3*t - t)*(11*t**2 - 6*t**2 + 3*t**2).\nAnswer: 2785*t**4 - 48*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slsl when four letters picked without replacement from llslslsslislslsp?\nAnswer: 21\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7648.801 meters?\nAnswer: 7648801000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27155717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*h + 588 + 468. What is the tens digit of (-12)\/((-16)\/(-12)*27\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1171570 rounded to the nearest 10000?\nAnswer: -1170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -46. Let v = 23 + r. Calculate the common denominator of 37\/6 and (-781)\/(-66) - (-4 + v).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33097106520 - 19.\nAnswer: -33097106539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s + 0 + 14*s**2 - 3\/2*s**3 - 1\/6*s**4. What is j(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 0 + -2 + (1*sqrt(3) - sqrt(3)).\nAnswer: -2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.3, -0.19, -5, -15 in ascending order.\nAnswer: -15, -5, -0.3, -0.19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 7*q + q)*(5 - 2 - 1)*(4*q - 2*q - 52 + 47) in the form o + f*q + j*q**2 and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56, 14, -62, -178, -340, -554, -826?\n\"Answer: -i**3 - 11*i**2 - 2*i + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4206264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 51*w**2 - 20*w + 1049. Calculate the remainder when (-20 + 2)*1*-8 is divided by a(51).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r - 3. Let o be k(-2). Let f be 0 - o - 2 - -38522. Is (-4)\/(-10) + f\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2576736 to 2 dps.\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -83. Solve -m*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/1529 and -79\/78396?\nAnswer: 862356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 210 - 107 + 75*l**3 + 2*l**2 - 106 in the form i*l**2 + k*l**3 + s + a*l and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v - 27*v + 46*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - -1012112113?\nAnswer: 1012112312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 293\/5*s - 118\/5 + 11*s**3 - 231\/5*s**2 + 1\/5*s**4.\nAnswer: (s - 2)*(s - 1)**2*(s + 59)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + 21\/3 + 2 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-240))\/(((2 - 0)\/460)\/(30\/60))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302818 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 81144 divided by -6762?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(147) + sqrt(3))*3.\nAnswer: -72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*z + 12*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 60*i + 64.\nAnswer: -4*(i - 16)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 2*b + 3 = r, -4*r + 4*b - 24 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -2 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**5\/4 - 425*d**4\/4 - 12435*d**3\/4 - 139455*d**2\/4 - 103140*d - 71280 = 0. What is d?\nAnswer: -33, -24, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/37)*g*g**(-6)*g assuming g is positive.\nAnswer: g**(-109\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y - 0. Let d(s) = 4*s**2 + 4 - 2 - s**3 + 3*s - 2 + 1. Give d(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 4*i + 8 = 0, -3 + 25 = 4*x - 2*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15*2)\/((-3 - -5)*-1). Find the first derivative of -23 - 15*l**2 - 19*l**3 + a*l**2 wrt l.\nAnswer: -57*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1435*k**2\/3 - 340*k\/3 - 20\/3.\nAnswer: 5*(7*k - 2)*(41*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20644 + 65782 = 279*t + 2168. Calculate the smallest common multiple of t and 362.\nAnswer: 54662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 66957 from 38755.\nAnswer: -28202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a factor of 749853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 47 + 50 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -104*h**2 + 20*h. Let n(d) = 41*d**2 - 8*d. Let x(g) = -12*n(g) - 5*y(g). What is the second derivative of x(z) wrt z?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-21))\/(12\/54*15\/(-70)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (0\/(-1) + -2). Let b be (-4)\/16 + d\/8. Let n = b - -41. What are the prime factors of n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**7\/210 - 7*k**6\/180 - 13*k**5\/120 - 5*k**4\/12 + 2*k**3 - 8. Let a(b) be the third derivative of i(b). Is a(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -229 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1201010 - 3012?\nAnswer: -1210022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*k**2 + 1447 + 1437 - 2884 + 6*k**3 - 636*k**2.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/995 + 9956\/2985. Solve -2\/3*f**4 - 2*f**2 - r*f**3 + 6*f + 0 = 0 for f.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.03, -1\/3, 0.5, -25, -0.42, 12?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370*g + 236*g = -1212. Let p = 0.14 - -1.86. Do g and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -45, 5\/2, -4, -33\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 258 - 61*c - 258 + (1 + 0 + 1)*(3*c + 2*c - 3*c).\nAnswer: -57*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*j + 43*j + 869*j**3 + 42*j.\nAnswer: 869*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a - 854 - 2*a + 817 to s + l*a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.3 - 8.2. Which is smaller: -0.37 or a?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-3)\/l)**(3\/37))**(-7))**(-25) assuming l is positive.\nAnswer: l**(-2100\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c7968 (base 15) to base 13.\nAnswer: -192305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 22*s + 4. Let m be a(22). Suppose 14622 = 2*i + m*k, -9*i + 6*i + 21936 = 3*k. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1188 and 32472?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-328)\/(-2))\/(12 + (-340)\/30) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1475 divide 12024200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/8 and -1*((-68)\/8 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by -4*(-2 + 10\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 101 * -2.\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**2\/4 + 2*t + 5 = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 100101001101101 (base 2) in base 3?\nAnswer: 222010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Is 23 a factor of (16 - -7)*(i - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686729989 to the power of 1\/2, to the nearest integer?\nAnswer: 26206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*g*s**2*w + 3*g*w + 4*s**2 + 3*s*w**2 + 29*w**2 + w wrt s?\nAnswer: -40*g*s*w + 8*s + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206505822?\nAnswer: 2, 3, 23, 97, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**8\/336 + n**7\/210 - n**6\/40 - n**5\/60 + n**4\/12 + 15*n**2 - 54. Let i(p) be the second derivative of b(p). Solve i(r) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 5*t**2 + 5*t. Let c be i(-6). Let z = -23 + 25. Suppose -2*f = -c - z. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/3*(1575\/360 + 12\/(-3)).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157646 is divided by 1659.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12a + -4a?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 23 + 14 - 14*b - 16*b**2 - 23. Let a(v) = -v**2 - v + 1. Give 28*a(n) - 2*q(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 11 - 11 + (3*s - 4*s - s)*(s + 7*s + 0*s) + 0*s**2 + s**2 - 4 + 3.\nAnswer: -20*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = 2*l + l. Let v = -1 - l. Suppose -2*x = -7*x + 80. Calculate the least common multiple of x and v.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(3 - 1 - 3)*(14835*b - 7677*b - 7847*b).\nAnswer: 689*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2 - 6*q + 4)*(-8 + 66 + 42 + (0 + 0 + 1)*(6 - 3 - 2)).\nAnswer: -202*q + 202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530481311 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8ba + -5?\nAnswer: 8b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 92220 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25831.79mm?\nAnswer: 25831790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 7*y - 910. Let t = 217 + y. What is the highest common divisor of t and 560?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34968 and 13.\nAnswer: 454584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, 129, 347, 651, 1041?\n\"Answer: 43*y**2 + 3*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 0.95. Let w = -593.04 + 593.04. Which is the closest to 1\/2? (a) w (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 1)\/((-39)\/26). Let s be (3\/k)\/((-9)\/(-12)) + 307998. What is s rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + w - 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 292, 967, -4, -1 in descending order.\nAnswer: 967, 292, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:39 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5116 (base 7) to base 14\nAnswer: -90d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 284595 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(15\/2)\/k)\/k**(-13\/6)*(k**(-19)\/k)**16)**(-11\/2) assuming k is positive.\nAnswer: k**(5137\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let t(b) = b**3 + 5*b**2 + 3*b - 3. Let g(v) be the second derivative of -1\/3*v**3 - 1\/3*v**4 + 0 + v**2 - v. What is p*g(z) + 2*t(z)?\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5343 + -2691. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -z - 22, 3*s + 0 = -4*z - 3. Solve -3 = -z*y + 3*b, 2*b - 19 = -3*y - 3*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2872\/41 or -69?\nAnswer: -2872\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-2 - -1*3). Let w = 0 + m. Let f be w\/8 + 1\/(-2). What is the third biggest value in f, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 61. Let c be u(17). Solve -13*m = -21*m - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + b + 3. Let i be t(0). Suppose i = -5*n - 2*o - 2, 0 = 2*n - 3*o - 17. What is the biggest value in 2, 0.3, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*x**2 + 6*x**3 + 21*x**2)*(-3 - 195*x + 3 - 199*x + 2).\nAnswer: -2364*x**4 + 12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, t: 4}. Give prob of picking 1 r and 1 t.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 237 - 56.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23048689 is divided by 34504?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32814 and 486?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 34*t**3 + 4*t**2 + 2. Let n(s) = -33*s**3 - 6*s**2 - 3. Give -3*d(z) - 2*n(z).\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 431.401 and 826359.\nAnswer: 826790.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*l = 8, 5*t - 10 = -3*l - l. Let n be (3 + -4)\/((-1)\/t). Factor 3*c**4 + 4*c**3 - 4*c**3 - 9*c**n - 6*c + 0*c**3.\nAnswer: 3*c*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**3 + 51336*u**2 = 0?\nAnswer: 0, 17112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -5 + 3*x**2 - 3*x**3 + 2*x**2 + 5*x**3 + 2*x**3. Let l(r) = -r**2 - r. Give -10*l(u) - t(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 26*t**2 + 161*t + 941. What is m(-6)?\nAnswer: 911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-2*sqrt(180)*-2)\/sqrt(4))**2 + 5.\nAnswer: -2158 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -50?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 6*u - 9. Let g be n(9). What is the second derivative of 47*q + 46*q**5 - 20*q**5 - g*q wrt q?\nAnswer: 520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 348213 and 171.\nAnswer: 1044639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 + 53*t**4 + 728*t**3 + 676*t**2.\nAnswer: t**2*(t + 1)*(t + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4) + (-19)\/13. Let y = t + 6\/13. Let v = 0.1 - -0.9. Which is the smallest value? (a) v (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 77\/4*c**4 + 975*c**3 + 1\/8*c**5 + 0 - 35152*c + 15548*c**2 = 0. What is c?\nAnswer: -52, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1233?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1325 - 1323. Sort v, 163, 1 in descending order.\nAnswer: 163, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 1754 = -234. Let l = 4258\/15 + s. Sort 0.2, 1, l, -1\/4 in decreasing order.\nAnswer: 1, 0.2, l, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2509 - b35?\nAnswer: -313e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/3872 and 7\/95828612.\nAnswer: 766628896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from argiikp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37802696 divided by 17.\nAnswer: -2223688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 33. Give r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.01 - 0.01. Suppose 0 = 5*s - h - 152, -s + 20 = -h + 6*h. Let j be 10\/15*s\/4. What is the third smallest value in j, 2\/5, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 555 and 5.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1438\/1985 - 30\/397. Is 6\/25 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 356 and 32?\nAnswer: 2848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p - 5. Let o be i(-8). Let y be o\/5 - 6\/(-10). Is 12 a factor of (y\/(-5))\/((-7)\/(-210))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6773 - -3533. What is s rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t + 75 + 1. Is 14 a factor of (-34)\/t*-118 + -7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52056 divided by 4.\nAnswer: -13014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**3 - 22*z**2 - 5*z - 24. Determine m(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*q - 232 = -15*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - l = -944, -11*l = 5*w - 14*l - 1550. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -20*d - 14. Let g(j) = 4*j + 3. Suppose -h + 22 = 4*q, 31 = 4*h + q + 3. What is h*v(y) + 28*g(y)?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22899 + 32209. Does 133 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, a: 1, t: 1, q: 1, r: 1}. What is prob of picking 1 q and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17643583 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86867284919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - 100203330323?\nAnswer: -100203331101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2083287935?\nAnswer: 5, 29, 59, 243517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.3744, 13, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00150543749 to 4 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2170*(-71)\/1988)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 44*t = -520. Suppose i - t = 507. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 - (-8 + (-4 - (-3 - -1)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3153 is divided by 1044?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -a + 7. Let u = a - 26. Does 14 divide ((-102)\/u)\/((-5)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 7. Find the common denominator of -57\/14 and (20\/v)\/(12\/(-15)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 7*d**2 - 5*d. Let v be a(6). Suppose -166 = -2*z + 3*u, -v*u + 415 = 5*z - 3*u. What is the remainder when z is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241482052 is divided by 1436?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 533 (b) -0.023 (c) -0.5 (d) 3\/5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 124*b**2 - 11*b + 5. Let c be l(-6). Let v = c + -2074. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -18*c - 630. Let s = 129 + c. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 73 + 13*c**2 - 3*c - 49 + 69 - 12.\nAnswer: 13*c**2 - 3*c + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -18. Suppose 0 = b*n - 2*n - 18. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 - 5*u + 4. Let c = -8 - -4. Calculate p(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a6 + -535a5?\nAnswer: -534aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -710075 times -11?\nAnswer: 7810825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 11263386.\nAnswer: -1\/5631693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36\/67 + -376\/201. What is the biggest value in -3, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 72*t - 578251. Give c(-520).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945955139 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 - 4*k**5\/15 - k**4\/3 + 7*k**2. Let a be d(16). What is the units digit of (a\/12)\/((-2)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 23588*k - 45 = -23585*k, 3*i + 69 = -5*k - 62 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10069.26 to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = -3. Let f = n + -8. Solve 0*c - f*z = -4*c - 4, -2*c - 4*z = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**2 + 9*q. Let y(d) = 3*d**2 - d - 6*d - 6*d**2 + 3*d. Suppose -2*h + 2 = 16. Let v be (h\/(-5) - 1)*-10. Determine v*b(u) - 9*y(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, -113, -5, -10, 2, 4, -6 in increasing order.\nAnswer: -113, -48, -10, -6, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5\/2 - 17*h**4\/2 - 47*h**3 + 280*h**2 + 1200*h = 0. What is h?\nAnswer: -5, -4, 0, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/8)\/((-2)\/(-112)). Let x = 190 - 127. Let w = x - o. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 8*o + 5*o + 9, -3*o = 5*v - 17. Let h(q) be the second derivative of 0 + 1\/20*q**5 - 3*q - 3\/2*q**2 - 1\/6*q**v - 1\/3*q**3. What is h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4595000?\nAnswer: 2, 5, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 538 - 443 + 593 = 0. What is the remainder when h is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -22\nAnswer: 29\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/18 + 10\/(-45). Suppose g = 4*h - 47 - 5. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -1, -317, 1, 110 in ascending order.\nAnswer: -317, -1, 1, 4, 13, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 6*z**2 - z + 6. Let x(v) = -v + 11. Let k be x(5). Let b be l(k). Solve 3*t + 0*t + 3 = b for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*d**2*k**2 + 2*d**2*k + 292*d**2 - k**2 wrt k.\nAnswer: -298*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 160 = 8*u. Let t be (-88)\/63 + u\/(-70). Let h = t - -259\/225. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -28*l**4 - 261*l**3\/2 - 77*l**2 - 12*l = 0.\nAnswer: -4, -3\/8, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -6*m + 2*m + 18, -17 = -3*k - 5*m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -135, -272, -409?\n\"Answer: -137*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11921 - 11920. Solve 2*g + 10 = s - w, -s = 5*g + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*c**3*g + 391*a**3*c**3 + 2*a**3*c**2*g - 12*a**3*c - 455*a**2*c**2*g + 10*a*c**4 wrt c.\nAnswer: 6*a**3*g + 2346*a**3 + 240*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7849 + -7850. Let h be (-14)\/763*2\/(-4). Let d = h + -331\/436. What is the second smallest value in -0.3, u, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350662.\nAnswer: 2, 3, 401, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 8884, 1 in descending order.\nAnswer: 8884, 1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - h - 3, 5*h = r - 6 - 17. Let k be (1 + -5)*1\/(-2). Suppose -6 = d + k*d. Is r >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(8) + sqrt(32)\/sqrt(4)) - (2*sqrt(72))**2 - ((sqrt(98) + 1)**2 - (2 + sqrt(2) + sqrt(2) + (sqrt(2) + 1)**2)))*3.\nAnswer: -1146 - 57*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/30*((-2881)\/129)\/67.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5414 - 1354 - 2574 + 3695 + 5049)*(-f + f - 2*f).\nAnswer: -20460*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 75*v + 154. Let g be y(-77). Let s = 0.5 - 1.5. What is the nearest to g in -2, s, -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17837393\/987 + (-5)\/(-3) + 1.\nAnswer: 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 10*b - 2. Let o be c(10). Is (-2)\/o - 224\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**3 - 2349*f**2 + 16330*f + 126. Calculate p(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152459?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35271 take away -0.06?\nAnswer: 35271.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552302 is divided by 184095?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 10:07 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4781*k. Let h(q) = -q**2. What is y(h(s))?\nAnswer: 4781*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 25576, 51622, 77668, 103714, 129760, 155806?\n\"Answer: 26046*l - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 4*r + 106976*r**3 + 35 - 3*r.\nAnswer: 106976*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 827706 and 1188.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 0.3, -0.4, 79?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6 - a**3 + 2 - 4 to z*a + c*a**3 + l + u*a**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6886087um in millimeters?\nAnswer: 0.0006886087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. What is the second derivative of l**2 + 0*l**2 - p*l + 2*l**2 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 0)*(-6 + 17*v**3 + 6).\nAnswer: -51*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325*p - 324*p = 5*m - 42, -3*m = -5*p + 36 - 48 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119635705?\nAnswer: 5, 7, 488309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:55 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/27)\/((-2)\/(-3)). List the prime factors of 61\/(-2)*4*n\/(-8).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 856*m + 1208*m - 195*m - 113*m + 1 to the form c + t*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.48+275\nAnswer: 277.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*x + 10, -3*u - 4 = -0*x - 2*x. Suppose -5*v = -x*w - 73, 3*v + v = -3*w + 40. Let y = v + -8. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 17, -186, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(1064\/(-264) + 4). Let q(f) = -k*f + 38 + 18*f - 2*f. Let w be q(-9). Let x(b) = b**2 + 6*b - 5. Determine x(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50412, 0, -4.\nAnswer: -50412, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3659.81724 to 1 dp.\nAnswer: 3659.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2)*7\/(-14))\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o**1)**(-2\/11)\/(((o\/(o\/(o\/(o\/(o\/(o\/(o*o**(-1)\/o))*o*o)*o))))\/o*o)**(-1)*o*o**(-4)*o**(2\/5)) assuming o is positive.\nAnswer: o**(173\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 18 = 2*m. Let y(t) = -13*t**2 + 14*t - 8. Let s be y(9). Calculate the remainder when ((-4)\/5)\/(22\/s) is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.7*-1580.\nAnswer: -32706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 505*s**2 - 251*s**2 + s - 1 - 3*s - 250*s**2 - 19 as o*s**2 + h*s + r and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-8)\/1218*(-3059)\/4370.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 13*l**2 + 21*l + 12. Calculate k(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= 156\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnxjnjxnlnjjjxxx. Give prob of sequence nxjx.\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37952?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 3431592.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 2, m: 6, y: 3}. Give prob of picking 2 y and 1 m.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -811, 1662, -2, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -5*y + 23, 3*l + 3 = -2*l - 3*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 195 - -67353?\nAnswer: 67538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/7)\/(j*((j\/(j\/(j**(-38)\/j*j)))\/j)\/j))\/(j**8\/j**(-37)) assuming j is positive.\nAnswer: j**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/280)\/(48\/22560)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g. Let u = -12 - -13. Let l(c) = -8*c + 8. Let h(b) = 1. Let d(v) = u*l(v) - 8*h(v). What is a(d(t))?\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*d + 1588*d + 1506 = 634*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -222659942376.1600067 - -222659929095. Let l = o - -13282.16. Let k = -1 + l. Round k to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 491*t + 1867*t + 349*t to u + m*t and give m.\nAnswer: 2707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 2*q + 8*q - 5)*(-98 - 115 - 18*q + 16*q).\nAnswer: -2*q**2 - 203*q + 1065","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i**2*t**3 + 15*i**2*t + 248*i**2 + 18*i*t**2 - 50946*t**3 - 1 wrt i.\nAnswer: -24*t**3 + 30*t + 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 44. Let a be (3\/(-2))\/(o\/96). Let j(v) = 2*v**2 - 12*v + 3. Is j(a) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -26.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1806556\/13 + -139104. Let q = r + 138. What is the third smallest value in q, 4\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let w(c) = 3*c + 2. Let s(r) = -j(r) - w(r). Let f be s(-2). Suppose 0*h = h - f. Solve -i + 1 = -h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in 28, -4\/129, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12641 rounded to the nearest 100?\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1348892462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, -79 in descending order.\nAnswer: 4, -11, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, b: 7}. Give prob of picking 2 b.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.2 + -7. Let l = 1.853 + 3.147. Which is the nearest to -0.18? (a) l (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43089 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * 7.\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 18*i**3 - 3841*i**2 - 2354*i - 46. What is o(214)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-3) - (-6)\/18. Solve -3*y + m = -4*k, -3 = -y + k - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 9 (b) -1\/238838 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Suppose 0 = u*o + 5 + 22. Let q = 9 + o. Solve q = -i - 4*i + 2*g + 4, -3*g - 6 = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23312312 (base 4) to base 6\nAnswer: -1012502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -5 + 1\/18*z**3 + 1\/6*z - 1\/6*z**2. Factor o(a).\nAnswer: (a - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (37 - 0) - (0 - (17 + -6) - -13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42361 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 34\/5*m**6 + 0*m**4 + 0*m**3 + 5*m**2 + 0*m**5 - 156*m. Differentiate f(j) wrt j.\nAnswer: 816*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -12.9. Let a = 1.1 + r. What is the closest to 1 in -4, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*b + 324 = o, 431 = 4*o - 3*b. Calculate the remainder when o is divided by 10\/(-20) + (-109)\/(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 12:05 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-1*-6 - sqrt(100))\/sqrt(5))\/(sqrt(20)\/(sqrt(96)\/sqrt(3))) + 1.\nAnswer: 1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11012 (base 3) in base 4?\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/30 - y**3\/3 + y**2. Let t(k) = 101*k - 20. Let c(o) = 2071*o - 410. Let u(h) = -6*c(h) + 123*t(h). Calculate u(b(z)).\nAnswer: 6*z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + -3 + -1)*(-4)\/28. What is the nearest to t in -5, -0.8, 1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-168)\/144 + ((-8)\/(-6))\/2. Which is the third smallest value? (a) y (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13634, -55888, -126340, -225008, -351910?\nAnswer: -507064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 15*s**4 - 6*s**3 + 57*s**2 - 4. Let b(d) = 15*d**4 - 7*d**3 + 58*d**2 - 5. Let g(n) = -4*b(n) + 5*w(n). What is the third derivative of g(m) wrt m?\nAnswer: 360*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3)*(-2 + 1)*1. Let j(l) = -l**3 - 3*l**2 - 3*l - 2. Let b be j(-3). Let h = b - 12. Sort 5, o, h.\nAnswer: h, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3010 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzb when three letters picked without replacement from ztzkbzzbbbzbfz?\nAnswer: 25\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13671729 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -42*o + 192. Calculate r(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 356906.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -33122, -66243, -99364?\n\"Answer: -33121*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1938?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - -1)*-112 - (-5)\/(-1) is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727330?\nAnswer: 2, 5, 72733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0167 * -2\nAnswer: 0.0334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 8 in increasing order.\nAnswer: -4, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.04 - -45.84. Let k = p + -40. Do 1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -54 - (3718 - 3780)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1309\/(-14))\/17 - (2 + -8). Factor -i**3 - m*i**4 + 0*i**2 + i + 1\/2.\nAnswer: -(i - 1)*(i + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkkiwviwkmwmkivww. Give prob of picking 2 v, 1 k, and 1 w.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 4*t**2 - 4*t - 6 + 7 - 4*t**2 + 7*t. Suppose -103*u = -98*u + 25. Give p(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 - 8*c**3 + 8*c**3 + (-5*c + c + 2*c)*(c**3 - c**3 - 2*c**4) - 3*c**5 - 4*c**5 + 6*c**5.\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 j, and 1 w when four letters picked without replacement from wjfhjddwjdy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zmzz when four letters picked without replacement from mzzmzzzzzzz?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 times -0.307?\nAnswer: 34.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdi when three letters picked without replacement from {o: 4, d: 2, l: 4, c: 3, g: 3, i: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 608*v - 46820. Let a(j) = -j**2 - 606*j + 46821. Let l(s) = 2*a(s) + 3*y(s). Factor l(t).\nAnswer: -2*(t - 153)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1 - z - 5*z - z. Suppose 38*b = -4*b - 210. List the prime factors of j(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 1\/6 (c) 284 (d) 0.33 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314 - 69 = -3*q + 110*f, 34*q + 126 = 15*q + 21*q - f for q.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 times 132793?\nAnswer: 13146507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3176 by -73.\nAnswer: -3176\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 271208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyz when three letters picked without replacement from jyjjnjnjjyzynnyjzt.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -17. Suppose n = 3*f + 3*z - 597, -5*f + 993 = 2*z + 2*z. Let w = f + -71. Calculate the highest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**3\/3 - 50. Let x(o) be the first derivative of -3*o**2\/2 + 1. Give f(x(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.73 and 4.\nAnswer: 2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/(m*m**(2\/5)*m*m))\/m)**(-18)\/((m\/((m\/(m*m\/(m\/m**0)))\/m))\/m*m**3*m*m) assuming m is positive.\nAnswer: m**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 5, 2\/17, -43\/21, 1\/8?\nAnswer: -43\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 1601?\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 550*d**2 - 4185*d - 10530.\nAnswer: 5*(d - 9)*(d + 2)*(d + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 653357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**3 + 6*o**3 + 2*o**3 + o**3.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5923.96 and 0.074.\nAnswer: -438.37304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2611310 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, y: 5, t: 1, z: 3}. Give prob of sequence zt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxixwgxkkwxk. Give prob of sequence xxgx.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 85. Let a = -38 + j. Solve 5*y - 25 = -5*b - 0*y, 0 = -3*b - 5*y + a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -174*n + 1732. Let p be l(10). Sort 5, -2, p, 0 in decreasing order.\nAnswer: 5, 0, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 0*s)*(-114 - 1228 + 652 - 1621 + 1 + 1 - 4 + (0 + 2 - 1)*(-1 - 1 + 1) - 3 + 6 - 5).\nAnswer: 2316*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by -5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29\/3 of a week?\nAnswer: 97440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1513*s**3 - 3023*s**3 + 1519*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162157, -162092, -162047, -162028, -162041?\nAnswer: -162092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101832 divided by -8?\nAnswer: -12729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2043 + 1024 + 1019 + 3660*y + 26*y**3 - 12820*y**2 + 9*y**3 = 0.\nAnswer: 0, 2\/7, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6154966801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -59147.\nAnswer: 17744.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + 0. Let i = 11.4 - l. Which is the smallest value? (a) i (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -428 (base 10) to base 15\nAnswer: -1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 8*v - 9. Let b(g) = g**3 - 6*g**2 + 8*g - 6. Let q be b(4). Let h be l(q). Solve -w + 0 - h = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 50*d**2 + 4. Let g(m) = -46*m**2 - 3. Let s(f) = 4*g(f) + 3*y(f). Let j(v) = -6*v. What is s(j(b))?\nAnswer: -1224*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 13, -0.02, 4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/286212 and 17\/1254282.\nAnswer: 42645588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-34220)\/258970)\/(-59))\/((-8)\/(-38)).\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1448 + 1475. Which is the fourth smallest value? (a) -2 (b) o (c) -3 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f. Let m(q) = -q**2 - 6*q - 31. Let y(n) = -n + 1. Let s(i) = m(i) + 5*y(i). Let v be s(-6). Let p(u) = 4*u + 2*u - 11*u + v*u. What is t(p(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4286 - 2417. Let g = -1091 + i. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -197.78*-0.025.\nAnswer: 4.9445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (33 - 24 - (16 - 1))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -412cc3 (base 16) to base 3.\nAnswer: -22001000010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8*q)\/q**(9\/2) assuming q is positive.\nAnswer: q**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 998068*k**2 - 1997395*k**2 + 998418*k**2.\nAnswer: -909*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 j when four letters picked without replacement from {j: 9, x: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**5\/12 - w**4\/12 - w**3\/2 + 2*w**2 - 56. Let t(i) = -i - 1. Determine m(j) - 2*t(j).\nAnswer: 5*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 770 and 13112.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/60 - 7*c**5\/60 - c**4\/3 + 2*c**3\/3 - 12*c**2. Is 14 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*s**2 - 11*s**2 + 5*s**2)*(-4*s**2 + 0*s**2 + 3*s**2).\nAnswer: -34*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-11) - (96\/44 - 2). Let g(r) be the third derivative of r**5\/60 - r**3\/3 + 25*r**2. What is g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 30, 23, 16, 9, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 40 - 143)*(-3*v + 3*v + 5*v)*(3*v + 0*v + 0 + 2).\nAnswer: -2610*v**2 - 1740*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**4\/4 - 11*b**3\/3 + 4*b - 7. Let r be a(-11). Suppose -u = -r*j - 55, -2*u + 2*j = 5*j - 66. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (37\/(-2))\/((-3)\/6). Let h = 43 - z. Suppose -h = 3*k, -3*k - 18 + 732 = 3*a. Is 30 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(5) - ((sqrt(5) - sqrt(125)) + sqrt(5))) - (-2*sqrt(605))**2) + 0.\nAnswer: -2420 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202785823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v - 851 - 98 = 0 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 505 + 1695. Let o = t + -217. Let g = 9 + -1. Solve -x = -o*x - g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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 g be -24*1 - (-25066)\/1057. Suppose 0 = -2*x + z + 5, 4*x - 5*z - 13 + 0 = 0. Put g, 4\/7, 2\/3, x in descending order.\nAnswer: x, 2\/3, 4\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13090, -13089, -13088?\nAnswer: -13087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/8 - 51*c**3\/2 - 7803*c**2\/4 + 180*c. Find u such that z(u) = 0.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 10. List the prime factors of t(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 9*l - 5. Let b be r(-6). Let u = 161 - 245. Let w = b - u. Solve 0 = 4*v + v - w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/(-4) - (585\/(-52) - -11). Let c(g) be the second derivative of 0*g**2 + 0 + 1\/24*g**f + 3*g - 1\/6*g**3. Factor c(k).\nAnswer: k*(k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 425142562 to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.76*0.8\nAnswer: 1.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 5*w + 0*w**3 - 3*w - 6*w**3.\nAnswer: -6*w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29564811 divided by 1094993.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7 + 4 - (3 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144 (base 5) to base 9.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 15*j**2 + 6*j + 35. Determine o(-10).\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 289*s - 1372853132 + 509006879 - 1496705747 = 0. Round s to the nearest one hundred thousand.\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11.6 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49111\/18 - -2723. Let z = -4917\/4 + 1250. What is the common denominator of z and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**3 + 3*a**3 + 6*a**2 + 7 + 7*a - 9*a**2. Let g be s(-5). Let f be (-7 - (-154)\/21)*9. Solve 2*v + g = -3*p - p, -f*v = p + 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33892000 rounded to the nearest one hundred thousand?\nAnswer: -33900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 3)*571\/13704.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Let o be ((-20)\/3)\/(g\/6). Suppose -h = h - o. 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: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + sqrt(300) + -2)**2*-6*6*3.\nAnswer: -97524 + 6480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1501*m**2 - 10566 - 1471*m**2 + 10566 + 2987*m**2.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*k + 30 = 0, 3*k - 4*k = -3*j + 14. What is the third smallest value in 2, -3, j, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2456 divide 69367264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 10 + -8 - 5) + 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14900 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -1 (c) 1.5 (d) 4\/2861 (e) -0.07 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 2, -7, -3 in decreasing order.\nAnswer: 2, -3, -7, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 217. Let o = 105 - i. What is the biggest value in o, 1.5, -1\/3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4201502 (base 6) to base 5.\nAnswer: 22440244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14, -28, -58, -98, -142, -184?\n\"Answer: g**3 - 14*g**2 + 21*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130454991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -57475 divided by 3?\nAnswer: -57475\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7*j + 2*c + 113 = 0, -j = 5*c - 15. What is the least common multiple of 35 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.05, 1, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - i**2 + 1 + (0*i**2 + i**2 + 5*i**2)*(-3 - 3 + 4))*(4*i - 4*i - i)*(-13 + 11 - 16)*(-4 + 3 - 3)*(5 + 1 + 0).\nAnswer: 5616*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/2*(-8)\/(120\/105)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/255)\/(3\/15). Which is the smallest value? (a) -1 (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84855503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 3. Let n(p) = -3*p**3 - 4*p**2 + 4*p + 5. Let d(s) = -4*s**3 - 3*s**2 + 3*s + 5. Let i(b) = 4*d(b) - 3*n(b). Determine -5*g(l) + 3*i(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/(8\/60). Factor -4 - 3*d**3 + 8*d**4 - d**2 - 2*d**5 + j*d - 5*d**3 - 3*d**2.\nAnswer: -2*(d - 2)*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199011, 398026, 597041, 796056, 995071, 1194086?\nAnswer: 1393101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11777, -23523, -35257, -46973, -58665, -70327?\n\"Answer: f**3 - 11753*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -6668 = -6669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -10. Which is the second biggest value? (a) 2 (b) v (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345296 is divided by 385?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/130*((-2)\/1)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 2. Let n be h(1). Suppose 39 - 7 = n*r. Solve -z = z + r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22660 - -22655. What is the biggest value in i, -39, 0, -0.034?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 6*g - 15. Suppose -18 = g*l - 24. Solve -4*k = 0, -l*n - 16 = -5*k - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y = -22*y - 6, 4*y + 5 = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7614138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**2 - 4*k**2 + 3*k**3 + k**2 + 2*k**3 to the form n*k**2 + p*k + v + x*k**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1174 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -560 - -560.05. What is the fourth biggest value in r, 5, -9, -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -8. Let h(l) = b*l**2 + 0*l - l**2 + l**3 - l. Let m(n) = -26*n**2 + 908*n + 71. Let w be m(35). Determine h(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/((-185)\/((-12395)\/134))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5271768995?\nAnswer: 5, 1054353799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71099 - -21614133\/304. What is the common denominator of -13\/16 and q?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.04 + -0.04. Let g = u + -5.4. Let l = -140.98 + 137.98. What is the biggest value in 0.5, l, 15, g?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48*g**3*q**2*x**3 - 28478*g**3*q**2 + 376*g**2*q*x**3 + g**2*q*x + 23*g*x**2 + q**2 + 9*x**3 wrt g.\nAnswer: -288*q**2*x**3 - 170868*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 29014048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*q = -5*q - 12, a = 3*q + 7. Let u = 2 + a. What is the highest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12100221 - 0?\nAnswer: -12100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29311 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-10))\/((-27)\/15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5 - 13. Solve 3*u + x = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 - 1 = -4*q, v - q = 1. Suppose -4*l + 24 = v*b, -5*l + 10*l - 50 = -5*b. Suppose x = 3*x - b. Solve a = 2*a - j, -2*a + 4 = -x*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002642 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 39*b**4 + 25*b**4 + 27 + 5*b + 19*b**4 to t*b + p*b**4 + m + u*b**2 + j*b**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 36*g**2 - 18*g + 150. What are the prime factors of c(7)?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 2 + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {s: 1, r: 3, d: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -89483 - -807266\/9. Suppose 0 = -3*i + 301 + 338. Let u = i - y. What is the nearest to u in 0.5, 2\/13, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i - 31. Determine t(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 0. Suppose 12 = 2*b + 2*b. Calculate the smallest common multiple of (b - (-4)\/(-2))*2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/(1*sqrt(10)))**2 + ((sqrt(13) - sqrt(117))*1)**2 - (-2*sqrt(1300) + 1)) + 5.\nAnswer: 69 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.27223 to one dp.\nAnswer: 50.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y - 2. Let x be a(-6). Let q(l) be the third derivative of -l**4\/24 + l**3\/3 - 31*l**2. What is q(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15043900 rounded to the nearest 10000?\nAnswer: -15040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121130320 + -11?\nAnswer: -121130331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/30)\/((-6)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73.55 + 74. Let g = d + -12.45. Let v = -12.00074 - g. What is v rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/26)\/((-46)\/5152*-56)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -438 or -3056\/7?\nAnswer: -438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149528471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16834 is divided by 1119.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14293 + 26092. Does 39 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -25802919.\nAnswer: -2\/25802919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 5*t + 2. Suppose -4*f + 3*h + 8 = -h, 12 = 4*h. Suppose 5*p = 0, -5*p - 72 - 8 = -f*z. Let x be z\/56 + (-12)\/(-7). What is w(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12472975873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2489, -2469, -2437, -2387, -2313, -2209?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/(-56))\/25 + ((-26061)\/(-252))\/17?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-66)\/9 - 1)\/((-3)\/117). Let p(y) = 4*y - 4*y - o*y**2 + 331*y**2. Let m(f) = 9 - f + 4*f - 9. Give m(p(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2389, -2521, -2881, -3583, -4741, -6469, -8881?\n\"Answer: -19*x**3 + x - 2371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 3202800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*n + 18 = 48, -g - 3*n = -15 + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -36.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/3 - 56*d**3 + 5633*d**2\/3 - 5236*d + 10244\/3 = 0.\nAnswer: -197, 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.11 + -1.31. Let k = -5 + 5.03. Sort 5, k, a in ascending order.\nAnswer: a, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 - 7*a + 7. Give s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-10 + (-1290)\/(-75)))\/(9\/30).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:13 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 7*i + 10. Let f be a(-4). Let n be 1*-5*(-19)\/5. Determine j so that -15*j**4 + n - 20*j + 21 + 65*j**3 - f*j**2 - 40*j**2 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.026 (b) 0 (c) -2\/7 (d) 2\/13 (e) 4.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + -25. Let w be 8\/45 - 2\/(-9). What is the third smallest value in 2, w, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o**2 + 62*o + 52. Let s be w(16). Suppose s*t + 17 = 17. Solve t = b - 7 + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 2 in increasing order.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 30407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -1, 0.02, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 2, 4.\nAnswer: 2, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a9737629 + 2?\nAnswer: a9737630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471 (base 9) in base 3?\nAnswer: 2112101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 140 = 6*k. Let j = k + -27. Does 3 divide -3 + 2\/j - -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*b**2 + 2 + (2*b - 2*b + b)*(-3*b + 3*b - 2*b) - b**2 - b**2 + b**2 + 1 + 2*b**2 - 1 - 1320 + 1320 - 3268*b**2.\nAnswer: -3267*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, 1\/7, -0.5, 3, 4, -234?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 131*c**3 - 2*c**2 + 3*c - 2. What is the remainder when s(1) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 88 = 239 - 50 + 249 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1*(2 + sqrt(125) + sqrt(125)) + 5*1*sqrt(125))**2)*5*6*2.\nAnswer: 8400*sqrt(5) + 367740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80596786301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*156\/(-300)*5. Let v(z) = -6*z**2 + 2*z. Let y(u) = -12*u**2 + 4*u. Determine q*v(h) + 6*y(h).\nAnswer: 6*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**7\/70 - x**5\/30 - x**2\/2 - 1. Let w(a) be the second derivative of v(a). Find the third derivative of w(d) wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 14*z + 7. Let c be h(-13). Let a = 123 - c. Suppose 3*s + s = -q + 153, 0 = -3*s + 4*q + a. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**2 + 0*w**2 + 4*w**2 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -6562.\nAnswer: -3\/6562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/26 + 1287\/(-507).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63958535 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 30772b?\nAnswer: 307728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 7 - (1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1009 + -691. Is 53 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 973\/5, 2, -0.13, 0.5, -1, 0.104?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161*h**2 - 85*h**2 + 98*h**2 + 6*h**2 to the form f*h**2 + x + w*h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2764 and -176650.\nAnswer: -179414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*b + 40. Let o(w) = -w**2 + 9*w + 10. Let a be o(b). Suppose -66 = v + 5*s, -4*v + 4*s = 3*s + 201. Is a != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5250 - 35?\nAnswer: -5285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -2, 4, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - 308 - -2)*(0 - -2). Let a = m + 1011. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**2 + 0*d**5 + 8\/21*d**7 + 0*d**6 - 14*d - 1\/2*d**3 + 0*d**4 + 0. Find the second derivative of x(r) wrt r.\nAnswer: 320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1210 and 440?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 84 = 17*x - 2*o, 5*o = 7 + 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5348, -10904, -16672, -22646, -28820?\nAnswer: -35188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + q + 5. Let b be p(0). Let v(n) = -72*n. Let z(o) = -145*o + 1. Let i(m) = b*v(m) - 2*z(m). List the prime factors of i(-1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 2*x + 55 = -0*x - 6*x, -x = 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -v + 12, 2*v - 130 = -2*z. Which is smaller: 67 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 18*h**2 + 39*h - 362. Let z be v(19). Calculate the greatest common factor of z and 11358.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g + 13. Let f(z) = -z**3 - 11*z - 25. Determine 3*f(d) + 7*n(d).\nAnswer: -3*d**3 + 2*d + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -56*v**3 + 7*v**2 + 83*v + 55*v**3 - 18 - 75*v. What are the prime factors of z(-9)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 10*g + 7. Let f be j(0). Suppose 0*d - 12 = 2*d. Let r = d + f. Is -3\/20 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.2 - 0.2. Let d(r) = 2*r**2 - 10*r + 11. Let w be d(2). Let k = 0.127 - 0.127. Which is the closest to k? (a) -2 (b) w (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wlwq when four letters picked without replacement from {u: 3, w: 2, l: 3, q: 5, t: 2}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293*w**2 + 5*w - 5*w - 292*w**2 - 294*w**2 + 885*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*5\/(45\/12). Suppose -5*v = q - 55, -3*v = v + r*q - 60. Suppose 5*n + 12 = 3*c - 38, v = -n + c. Which is bigger: n or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264218457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 24a1?\nAnswer: -249a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 503, 656, 891, 1208, 1607, 2088?\n\"Answer: 41*s**2 + 30*s + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*x + 7312*x**3 - 7314*x**3 - 43*x.\nAnswer: -2*x**3 + 63*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1330 (base 6) to base 11\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 3*y + 4. Let j be v(3). Suppose -5*k + 120 = o + 4*o, 2*k = -j*o + 44. What is the smallest common multiple of 1 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*d**2*p**2 - 2*d**2*p - 22255*d**2 - 4*d*p**2 + 2*d + 100*p**2 + 5739*p wrt d.\nAnswer: 136*p**2 - 4*p - 44510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 10, -1, -5, -3.\nAnswer: -5, -3, -1, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 1, f: 3, x: 6, s: 4}. What is prob of picking 1 j and 3 x?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4 = -i + 3, 28 = -2*i + 5*s. Let v be ((-60)\/i)\/(2\/(-6)). Let m be (-155)\/v - 3\/(-12). Solve -4*f + 2*f = -m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bhh when three letters picked without replacement from bbhrbhbrhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(70)\/(sqrt(28)\/sqrt(4)))\/((1*sqrt(605) - sqrt(605)) + sqrt(605)) - (0 + sqrt(18)*-4*6))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -10. Let g be 158\/6 + a\/(-9). Is 13 a factor of (-1 + 0)*(-2 - g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 51*y + 63*y - 12 - 12 - 124*y + 171*y**3. Let s(b) = 512*b**3 - 28*b - 73. Let l(h) = 6*s(h) - 17*v(h). What is the second derivative of l(u) wrt u?\nAnswer: 990*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 133*c**2 + 268*c + 268. Let b be u(135). Which is smaller: -65\/41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18)*z)\/(z\/(((z\/z**(-33)*z)\/z)\/z))*(z**(16\/5))**(-3) assuming z is positive.\nAnswer: z**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25787426151.8 - 0.5.\nAnswer: -25787426152.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 10, -52*w - 28 = -4*k - 56*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -6 + -10 + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24930348, -24930357, -24930366, -24930375, -24930384, -24930393?\n\"Answer: -9*y - 24930339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.83013 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45265013 (base 8) to base 6.\nAnswer: 545513215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18497 + -18497. Solve y*j + 8*j = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154213 (base 6) in base 4?\nAnswer: 3231201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b - 2. Let v be o(-2). Let y(m) = 7*m + 27 - v*m + 10*m**2 - 9*m + 22. What are the prime factors of y(5)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 + 37*b**2 + 24*b + 30. Give l(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 2*n**5\/45 - n**4\/6 + 2*n**3\/9 - n**2\/9 - 7. Find i such that u(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/5)*d**1\/d assuming d is positive.\nAnswer: d**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -z - 4*n, z + 10*n = 14*n - 58. Let t = -26 - z. Calculate the greatest common factor of t and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6719 = -222*p + 163*p + 18297. What is the remainder when 1304 is divided by p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 3:56 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 1:21 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -311, -1220, -2735, -4856?\n\"Answer: -303*x**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(234)\/(sqrt(9) - (sqrt(1089) - (sqrt(1089)*-2 + sqrt(1089))) - sqrt(9)))\/(sqrt(288) + (sqrt(288) - -5*-1*sqrt(288))).\nAnswer: sqrt(13)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (8 - (3 + 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6, -135, -490, -1185, -2334, -4051, -6450, -9645?\n\"Answer: -19*x**3 + x**2 + x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {m: 5, v: 4, l: 1, n: 6}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7799, 15595, 23391, 31187?\nAnswer: 38983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**11*q\/(q**(1\/7)*q)*q**(-3\/2)\/q*q*q*q**(8\/7) assuming q is positive.\nAnswer: q**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*o**3 + 62805*o**2 - o*u**2 - 51*u**2 + 3514 with respect to o.\nAnswer: 147*o**2 + 125610*o - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-750))\/(2\/5). What is the second smallest value in 5, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 650934875?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2167556, -2 in decreasing order.\nAnswer: 1\/7, -2, -2167556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpp when three letters picked without replacement from rrprrppprrprrr.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**46*g*g**41 assuming g is positive.\nAnswer: g**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 216325 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 365065.2500011 - 365063.35. Let m = 12.1 - 14. Let z = x + m. What is z rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4 + 2463*c**3 + 14754*c**2 + 29492*c + 19656 = 0. Calculate c.\nAnswer: -2457, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 3:28 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -2, 5, 3.\nAnswer: -66, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 5. Let n be l\/(-5)*(1 - 3). Let h = n - -25. Solve -5*p = h - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102058397.\nAnswer: 7, 977, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -301033231230 (base 4) in base 7?\nAnswer: -214504536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccq when three letters picked without replacement from bboohbbqooohhopbc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(1872)) + 0)**2.\nAnswer: 432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32\/3, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + ((-412)\/(-26) - (-12)\/78). Let w = q - 1. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2396 + -2396.010362. Round i to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b01 - -4?\nAnswer: 1b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.5 rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4, -16, -98, -286, -616, -1124, -1846?\n\"Answer: -6*k**3 + k**2 + 27*k - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 2 - (4 - 2)*-8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4*y = 4*z + 347, 5*z + 348 = y. Suppose y - 1159 = -8*u. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6200 and 403?\nAnswer: 80600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -258 less than -1.6?\nAnswer: 256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.084 + 0.184. Sort 2\/3, -3, -2, f in increasing order.\nAnswer: -3, -2, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 18865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -5 - 6 - (1 + -16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2515 - 6605 = 2*g. What is the greatest common factor of 320 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 11) in base 9?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 3*z**2 + z + 4. Let i be g(-3). Let j be ((-80)\/35 + 2)*(7 + 0). Let d be 6\/12 - 21\/12*j. Sort d, -6, i in descending order.\nAnswer: d, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, 3\/8, 1, 60.\nAnswer: 0.1, 0.2, 3\/8, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/100 - 831*y**4\/20 + 690561*y**3\/10 + y**2 + 261. Factor f(d).\nAnswer: 3*(d - 831)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-36)*(-540)\/(-70).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 960 or 0.11?\nAnswer: 960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 5*t**4 - 5*t**4 + 2*t**4 + 0*t**4 - 3*t**2 + t + 3*t as d + h*t**3 + g*t**2 + j*t**4 + v*t and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -18. Let x(b) = -b**3 + 63*b**2 + 140*b - 512. Calculate the remainder when x(65) is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5390\/84)\/77*30.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 10*s - 2*s - 5*k = -10*s + 39, 5*k = -13*s - 27 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**4\/2 - v**3 + 2*v**2 + 5*v - 2267. Let t(w) = -w**2 + w + 1. Give -h(n) + 4*t(n).\nAnswer: -2*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 109577837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n - 1\/12*n**4 - n**2 + 0 + 5\/6*n**3. List the prime factors of u(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1532?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7\/8*b**4 + 0*b + 0 + 0*b**3 - 5*b**2 - 7\/20*b**5. What is the second derivative of v(d) wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j + 6 + 14*j + 1 - 10*j - 8*j. Suppose -y - 1 = -m - m, -4*y = 4*m - 8. Let d(t) = 1. Determine m*u(c) - 5*d(c).\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.8568 years in millennia?\nAnswer: 0.0648568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 131*-692\nAnswer: -90652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7347 is divided by 210?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - m - 1. Let o be (-5)\/(-25)*-7 + 4\/10. Let y(p) = -p**3 - 9*p**2 - p - 35. Let l(t) = o*y(t) - 2*n(t). Is 8 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/8 - 3975\/(-1272). Suppose -2*s + 3*x + 19 = 0, 5*s + 0*s = 5*x + 35. Solve -r + 12 = 3*n, 3*n + s*n = h*r + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 2 = -2*v, -3*v = 2*c - 60. Let m be -3*((-3)\/(-4) + (-39)\/c). Let y(x) = 4*x**2 - 1. Calculate y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 80*i + 378. Let k(r) = 282*r + 1323. Let y(a) = -18*j(a) + 5*k(a). Let w be y(-6). Sort 1, -1, w, 3.\nAnswer: w, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 11. Let m be f(-12). Let s(u) = 7*u**2 + 1. Let y be s(m). Solve -3*l - l = -3*o - 5, 0 = 5*l - 2*o - y for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:25 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1124246*j - 1123997*j = 4980 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:49 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -3.4, -0.5, 2\/9, 4.\nAnswer: -5, -3.4, -1, -0.5, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8898 - 62113\/7. Let q = 25 - z. Let d = -2 + 4. Which is the third biggest value? (a) -2 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316513 (base 12) to base 10\nAnswer: 778335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-8))\/(162\/(-144)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -356*y + 1060 + 4256 = -7*y + 81 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 13074?\nAnswer: 117666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**(-3\/8))*n\/(n**(-3\/10)*n*n) assuming n is positive.\nAnswer: n**(-43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*o**3 + 58*o**3 - 9*o**3 - 17*o**3.\nAnswer: 59*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2a6da (base 14) to base 8\nAnswer: -316250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396976.\nAnswer: 2, 43, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**5\/2 + 2531932*y**4 - 6410694844201*y**3\/2 + 19232023766275*y**2 - 38464007021678*y + 25642657844164 = 0.\nAnswer: 2, 2531929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 61428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 40 - 8 = 0. Suppose -5*g + p = -g. Suppose 4*v = -l + 5, 0*v = 5*l - 4*v - 1. Sort g, 0, l in decreasing order.\nAnswer: g, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12718 is divided by 6329?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.12 - 0.16. Let n = i - 27.56. Let b = n - -25. What is the second biggest value in 2, b, -18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 4*w + 17661. Give v(-131).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and -97\/43080.\nAnswer: 43080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221 - 4*u**3 + 1262*u**2 + 12*u**3 - 631*u**2 - 633*u**2.\nAnswer: 8*u**3 - 2*u**2 - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(16)\/(2*sqrt(8))*1 + -2*sqrt(20)\/(sqrt(30)\/sqrt(3)))**2*5*-1.\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5))**2 - sqrt(5))*5 + 0.\nAnswer: 5*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -22. What are the prime factors of r\/11 + 427\/11?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179549?\nAnswer: 179549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Let p = 6 - a. What is the third biggest value in -1, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 10*b**2 - 11*b - 12. Calculate o(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9479039413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 30*z**2 - z - 51. Is 74 a factor of w(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -3*t. Suppose 0 = -t*i - 0*i + 4. Factor -i*n**4 - n + n**2 - 7*n**2 - n - 6*n**3.\nAnswer: -2*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21.4 + -25. Let m = k + -0.4. Which is the third biggest value? (a) -1\/5 (b) 0.1 (c) m (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29664, -59164, -88674, -118200, -147748?\nAnswer: -177324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 655\/9 + -73. Let q be 4\/(-10)*(3 - -7). Put q, p, 4 in descending order.\nAnswer: 4, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p + 420. Let r(j) = 9*j + 426. Calculate -2*c(m) + 3*r(m).\nAnswer: 3*m + 438","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*j + 2 = -168*j. Solve 16 = j*o + 6*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163070399?\nAnswer: 5503, 29633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -3*f + f. Factor -2*v**3 - 2*v**2 + f*v - 1\/2*v**4 + 0.\nAnswer: -v**2*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + 163. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*3 + 4)**2.\nAnswer: 168*sqrt(19) + 8395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (7 - 3) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -4*g**5 + 40*g**4 - 36*g**3 = 0.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + -0.4. Let c = 2 - w. Let u = -1 - c. Sort -1, 0.3, u in descending order.\nAnswer: 0.3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**9\/1680 - u**5\/8 - 7*u**4\/12 + 6*u. Let n(y) be the third derivative of p(y). Find the first derivative of n(v) wrt v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1255*(11\/(-5) - -3). Suppose -b = -16*s + 404. Suppose -a + s - 12 = 0. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3 + 27. Suppose 0 = g - 3*l - 25, 5*g - u = 3*l + 59. What is the remainder when (-26)\/8*(-48)\/(-28)*(-12 - 2) is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3, -5*i + 6*w - 350 = -28*i + w for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397, -527, -657, -787?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21292.363 rounded to the nearest integer?\nAnswer: -21292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/15, -15, -5.\nAnswer: -15, -5, -2\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6245 + 6266. Suppose 3*m = 8 + 1. Let g = m - -2. Solve -g*l - v = 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 46 = -100. Suppose 5*a - 3*d = -1220, -4*d = a - f*d + 266. Is -243 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 + -156. Suppose 4*r - v = 244, d*r = -9*v + 4*v + 268. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*1 + ((sqrt(13) + 2)*-1)**2)*1.\nAnswer: 17 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -0.03, 0.1, 1.2 in increasing order.\nAnswer: -1\/4, -0.03, 0.1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 75*h + 7526. List the prime factors of b(88).\nAnswer: 2, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/8 and (-14)\/(-21) + 394\/(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -320.\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*j = -141*j + q - 27, -4*j = 7*q - 157 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -456 + -b0244?\nAnswer: -b069a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 34*c = 39*c - 2330, -5*p + 4*c + 2892 = 0. What is the lowest common multiple of 104 and p?\nAnswer: 15080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 - 2427*f**2 - 1212*f + 1213.\nAnswer: -(f + 1)*(f + 1213)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Suppose 0 = -4*o - 0*o + 32. Let t be (-6)\/o*(3 + -4). Which is smaller: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7958*z + 1146*z + 61308 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*f + 35*f + 24. Suppose 3*i + 76 + 29 = 0. Let z = f - i. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*((-680)\/(-20) + -28)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1444, -1428, -1386, -1306, -1176?\n\"Answer: 2*p**3 + p**2 - p - 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*p = -80 - 26, 0 = 2*o + 3*p - 70. Suppose -o - 3 = -5*i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.26 in -9, 4\/15, -5, -2\/49?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4\/79, -1\/4, 1\/6, 4, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 824556 + -1385254037\/1680. What is the common denominator of -101\/4 and p?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224571 is divided by 74853?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15*b**2 + 10*b + 10. Let j(r) = 5*r**2 - 3*r - 3. Calculate 3*a(d) + 10*j(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386618 is divided by 1224?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-16) + 8700\/928. Solve s*o - 8 = 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 - 0.93. Let j = 1.5 + h. Let w = j - -0.2. Put 0.3, -4, w in increasing order.\nAnswer: -4, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -92624552\/11, 4, -5 in decreasing order.\nAnswer: 4, -5, -92624552\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2566*s - 644*s - 105930 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3795375*f**5 + 6965671*f - 2 wrt f?\nAnswer: 75907500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128331 and 9072?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*p + 2*p. Let c(i) = i + 5. Let f be c(-7). Does 16 divide f - (p + 0 - 28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2898 and 45126?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 149345 plus 11.5?\nAnswer: 149356.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 19*q - 73. What is the tens digit of g(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 31 - 9 = 4*s, 5*s - 35 = 5*u. Suppose -5*j - 4*o = 4, s*j + 7 = 4*o - 29. Let m be j\/(-14) - (-12)\/7. Solve -2*k - m*k - 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 4. Let b(y) = 3*y + 12. Let x(t) = -3*b(t) + 8*k(t). Let w(z) be the first derivative of 3*z**2\/2 + 3*z + 2. Let g be w(-2). Give x(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141628399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*i**2\/6 - 743*i\/6 - 1635.\nAnswer: -(i + 18)*(11*i + 545)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: 24a5 (base 11) to base 14\nAnswer: 128d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.07 (b) 5 (c) -18 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14431474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -88. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1852*f**3*s**3 - 14*f**3 + 33*s**3 - 2*s + 2864 wrt f.\nAnswer: -5556*f**2*s**3 - 42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/3 + 13*s**3\/3 - 16*s**2\/3 - 4*s + 16\/3 = 0. What is s?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12029 is divided by 3980?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, -2\/1223, -3, 8, 1\/3?\nAnswer: -2\/1223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, a: 6, g: 4}. What is prob of picking 1 x and 2 a?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 12*l - 15. Let z be r(-13). Let y(k) be the second derivative of 5*k**3\/6 + 3*k**2\/2 - 13*k. Let m(u) = -4*u - 3. Calculate z*y(o) - 3*m(o).\nAnswer: 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 171082044 divided by -2892?\nAnswer: -59157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 = m. Suppose -3 = u - 4*u. Differentiate -2*w - u + m - 3 wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/120 and 37\/117.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*i + 101 = -84. Solve -2*l + 25 = -i*k + l, -25 = -5*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/3)\/q)\/q)**9*(q\/(q**(3\/4)\/q)*q)\/(q*q*q\/q**0))\/((q\/q**(-2)*q)\/(q**(-2\/11)\/q))**(-30) assuming q is positive.\nAnswer: q**(6675\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6984.81375 to the nearest integer.\nAnswer: 6985","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 - l**2 - 5*l**2)*(l**3 + l - l)*(11 - 30 - 41).\nAnswer: 60*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -70\/9?\nAnswer: -70\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - t**2 - t. Let x(o) = -4*o**3 - 15*o**2 + 9*o + 9. Let q(m) = 5*g(m) + x(m). Calculate the remainder when q(20) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 69.156 (c) -5 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24622644223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 23313.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*p = p, 3*r + 5*p - 8 = 0. Let n be r\/32*(3 - 1). Let v = 0.05 + 0.25. Which is greater: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*d - 83*d + 206052. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) - 891\/44. Let p be (-2)\/w*5*(1 + 7). Solve k = p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 14*x**2 + 19*x + 98. Let n be g(-13). Solve -5*b - 5*p + n = -4*p, -5*p = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*r - 2 - 2*r + 4 + 0.\nAnswer: 70*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25910*p**5 - 2*p**4 + 26*p**3 + 16769997*p**2 wrt p?\nAnswer: 1554600*p**2 - 48*p + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5 - 1581*p**4 - 43884*p**3 - 277236*p**2 + 322704*p = 0. Calculate p.\nAnswer: -498, -18, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-763797)\/(-18) + (8\/(-48) - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 3*l - 2. Let j = 128 - 134. Let v be ((-2)\/j - (-2)\/(-6)) + -2. Calculate f(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/58 or 0?\nAnswer: 63\/58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -32*b - 311. List the prime factors of t(-21).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9 + -3.7. Which is the biggest value? (a) -5 (b) g (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. Suppose 4*r + 0*r = -4*a + 8, 5*r = -4*a + 3. Let b = 10 - a. Put b, q, 4 in ascending order.\nAnswer: q, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + q + 3*q = 40, 5*q = 5. Sort -4, -14, b in increasing order.\nAnswer: b, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -24. Let u = 9 + c. Suppose 4*p + 2*q - 26 = -q, -24 = -4*p - 2*q. What is the second biggest value in u, p, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1414004 (base 5) to base 2.\nAnswer: -111001001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 3*d**2 - 3*d. Let q be m(-2). Let n = 6 + -4. What is the highest common divisor of n and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/(-30) + (-7)\/(-35). Which is smaller: a or 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13734.062 and 32.\nAnswer: -439489.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2197 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -16. Sort -0.2, 3, r in descending order.\nAnswer: 3, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - j**2 - 6*j - 5. Suppose u - 2*y - 4 = 0, 0 = -u - 0*y - 2*y - 16. Is v(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t - t**3 + 6*t - 11*t - 3*t - 13 in the form y*t**2 + l + x*t + k*t**3 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126504 by 101.\nAnswer: 126504\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -7.98\nAnswer: 143.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 41. Suppose -24 - g = -5*c - 5*w, -c = -2*w. Let p be (6 + -5)*c\/2. What is the biggest value in -1\/7, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r + 27*r**2 + 1\/180*r**5 + 1\/72*r**4 - 1\/3*r**3 + 0. Determine k, given that a(k) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -18*r**2 - r - 37. Let s(g) = 4*g**2. Give s(k(u)).\nAnswer: 5184*u**2 + 288*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61039, 1\/5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvokbfr. What is prob of sequence bvo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-15)\/(-12) - 0\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13547 is divided by 57?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 26 = 5*z, -2*v - z = -3 + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1219713268.0000113 + 1219713209. Let l = 56.12 - -2.88. Let r = l + c. What is r rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220023 + 22211?\nAnswer: -142312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 10*r - v, -33177*r = -33179*r - 5*v + 58 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19653 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 2)*(-6*h**2 + 3*h**2 - h**2) + 7*h**2 - 20*h**2 + 10*h**2 + 15*h.\nAnswer: -19*h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d. Suppose x + 9*j - 4*j + 2 = d, -5*x - j = 10. Let l(o) = -2*o - 1. Let b be l(x). Solve 2*v - 3 = b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -20*d**2 - 2*d. Let s(u) = 7*u**2 + u - 69929 + 69929. What is -17*s(w) - 6*x(w)?\nAnswer: w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1343 - 412?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.4, -0.1, 0.5, 0.3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2882, 2770, 2658, 2546?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178177593 + -178177630.9999915. Let q = -38 - b. What is q rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -z**2\/2 - 6*z - 7. Determine n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 - 876*p**2 - 76356*p - 490196 = 0 for p.\nAnswer: -61, -7, 287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 48 = -h. Solve 6 = -4*o - 3*q - 5, 5*o = -4*q - h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 271817 and 136773?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1032148.05 + -1032046.050186. Let q = -102 + y. What is q rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/15)*b*b)**(-6))**(3\/5) assuming b is positive.\nAnswer: b**(-192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2403410100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49.04 and 238.\nAnswer: 287.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1000110110000101010 (base 2) to base 10\nAnswer: -289834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, a: 1, p: 1, z: 5}. Give prob of picking 1 z and 1 a.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 4 (c) -36 (d) -0.01 (e) 8\/9 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(832) + 0 + (sqrt(117) - sqrt(13)))**2 - ((-2*sqrt(637))**2 - sqrt(975)\/sqrt(3)).\nAnswer: -1253 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302141 is divided by 149383?\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -304*d**4 + 576.\nAnswer: -1216*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5112.45 kilograms in tonnes?\nAnswer: 5.11245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:22 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + b = -502, -2*d = d - 4*b - 383. Let n be 27 + -1*(-4)\/10*-5. What is the highest common factor of n and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.739 less than -43?\nAnswer: -25.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 v when three letters picked without replacement from {m: 3, v: 1, i: 6, j: 3, h: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*b = -b + 1592, -1066 = 2*a + 2*b. What is the units digit of ((-4)\/8)\/(7\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*q - 30 = 157*q. Suppose 2*b = 8, -y - q*b = -10*b - 11. Let o(t) = 9*t**2 - 9*t + 9. Let x be o(6). Calculate the highest common factor of y and x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -28923*o + 6652270. Give i(230).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75.09 + 0.09. Let c = s + 75.081. Let b = c + -0.08022. Round b to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -61. Suppose 56 = 4*v - 2*w, -x*v + w = 5*w - 38. Suppose 4*r - c = 23, 0 = 2*r - 2*c + 5 - v. What is the highest common factor of r and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 1970*s**2 - 638896*s - 68381728.\nAnswer: -2*(s + 292)**2*(s + 401)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.52181 millilitres in litres?\nAnswer: 0.06952181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3579, -48, 5 in increasing order.\nAnswer: -3579, -48, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2360 = 27*f - 389. Let r = 94 - 164. Is r less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -9 - (6 - 3). Differentiate 5 + 3 + 2 + z*m**4 wrt m.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u - 7. Let j(x) = 9*x + 15. Let p(c) = -4*j(c) - 7*t(c). Let s be 3\/12 - 615\/(-4). Let q = 148 - s. Calculate p(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 14) + 2 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p + 2*w + 49, -130*p + w + 7 = -129*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 25*l - 251. What is o(35)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 63 = 7*m. Suppose 424 - 74 = m*t. What are the prime factors of t*-1*3*(-2)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 13. Let b be s(6). Suppose 6*r = b*r + 3. Let h be 2 + 13 + r + -4. Calculate the greatest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*p = 6, -4*p - 7 + 18 = 5*t. Which is the closest to t? (a) 0.2 (b) -0.9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Suppose -2*g + 25 = -s*p + p, p = 3*g - 26. Let t = p - -52. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4304749146?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7 - (92\/69 + -8). Which is greater: -2.735 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - -1.1. What is the closest to 2\/9 in -3\/7, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from efdffdxoxfdoxxedxde?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7 - (36 + -43)) + -3 - 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3 and -29263.55542513.\nAnswer: -29264.85542513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 3:52 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express q + q + 6*q + 5*q + 0*q - 4*q + (-4 + 0 + 3)*(3 + 2*q - 3) - 1 - 3 + 5 - 6*q + (-3*q - 2*q + 6*q)*(3 - 1 + 2) in the form l + b*q and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i - w + 3, 0 = -2*i - 4*w + 2. Factor -5*j**2 + j**2 - j**i - 8*j**2 - 16 - 24*j - j**3.\nAnswer: -2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -681 + 708. Solve 29*i - 8 = m*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 6*p - 4. Let z be (-3 - -18)*1\/3. Let v be r(z). Let x be (6\/(-15))\/(-14 - (-1584)\/90). What is the smallest value in v, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/5, 14\/19, 0.01 in decreasing order.\nAnswer: 14\/19, 1\/5, 0.01, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0399 - -0.039900108. What is j rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1. Let z(a) = 3*a + 9. Give -36*p(g) - 4*z(g).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 7*y**2 + 5*y + 15. What is the tens digit of l(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/((sqrt(12)*2)\/sqrt(3)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158344 is divided by 78.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/5, 0.05, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -829 + 831 + -2 + 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35873 a multiple of 517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + b = -12*a - 80, -3*a - 2*b = -65. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3 + 3*o**2 + o**3 - 2*o**2 - 2*o + o - 6*o**2. Determine n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and -3258533412899?\nAnswer: 3258533412898.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/6)*4\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1710\/57)\/((-14)\/(-24)*220\/(-154)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 5*p - 6. Suppose -7*n = -228 + 74. Let w(y) = y - 1. Suppose 0 = -5*j - 5*r - 40, 0 = -0*j + 5*j - 5*r. Calculate j*a(x) + n*w(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 26658 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (342\/(-153))\/19 - 66\/17\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.70855785 to three dps.\nAnswer: -11.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/5)\/(4*(-6)\/(-3240)). Let s = r + -80. Let q(o) = 49*o - 5. What is the units digit of q(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, q: 1, z: 1, r: 2, n: 1}. What is prob of sequence na?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84861 - -126099. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569266 is divided by 603.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/67812 and -6\/73463.\nAnswer: 881556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-6)*4\/(-10). Let l = 23.9 - 25. Let d = 4.1 + l. What is the third smallest value in 0.5, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + j**2 - 1)*(0*j - 5*j + 3*j) - 4*j**3 - 2*j + 2*j + 2*j**3 - j**3 - 3*j**3.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 131. Suppose -s - 7 = -3*w - w, 5*s + 10 = -i*w. Which is the closest to -1? (a) -0.2 (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 5\/6, -0.4, 2208?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 331624*r. Let m(j) = 16*j. Calculate m(g(s)).\nAnswer: 5305984*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/14575? (a) 26 (b) -0.1 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g**2 + g**2 - 3*g**2)*(-31549 - 1827*g**3 + 31549).\nAnswer: 16443*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -93.3273683 to one dp.\nAnswer: -93.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) -79 (c) -68 (d) 0.1 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.7 + 1.67. Let t = i - -0.03. Let b = 5 + -3. What is the nearest to t in -2\/9, -0.1, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 10 - 18 = -4*q, q + 3*m + 10 = 0. Solve -q*y = -5*w + 22, -w + 6*y = 5*y - 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f - 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4599023?\nAnswer: 11, 13, 29, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -34, -5, -213?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (30 - 15 + 3)*(8*l**2 - 8*l**2 + 7*l**3) + l**3 - l**3 + l**3 as a*l**2 + h*l + r + w*l**3 and give w.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven quarters of a litre in millilitres?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r - 56*r - 97 = -2*d, -23*d + 2*r + 61 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56106489, 56106486, 56106483?\n\"Answer: -3*a + 56106492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -1. Let b be 7\/r*(3 + (-324)\/105). Does b = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9866*n - 9849*n - 68. Let k = 2 - 1.7. What is the third biggest value in k, -7, n?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 4:13 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-10))\/(12\/10). Let t = 2 - 0. Let m = t + -1.9. Which is the nearest to s? (a) m (b) 1\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20326 (base 8) to base 9.\nAnswer: 12470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.098, 0, 0.019.\nAnswer: 0, 0.019, 0.098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 62 - 37251?\nAnswer: -371ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61, -64, -67, -70, -73, -76?\n\"Answer: -3*a - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 510 and 6.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*w - 10*w + 1637 - 1007. Solve -1 - 104 = -w*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.4, 2\/7, 5, -0.2, -7, 8.029?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {h: 6, s: 5, g: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 26. Calculate q(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, 0, -1, 566, -2.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 389160?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-42)\/28 - -6)\/((-3)\/(-10)). Solve 2 = n + c, -20*n - 4*c + 13 = -p*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3)*365\/219?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3283283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -18*a**5 + 115*a**4\/2 - 125*a**3\/2 + 45*a**2\/2 + 5*a\/2 - 2 = 0.\nAnswer: -1\/4, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35\/2 + -17. Which is the closest to g? (a) 2\/7 (b) 0.5 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 449*q + 1797. Calculate the smallest common multiple of 14 and w(23).\nAnswer: 12124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by -4 + 4 + 14\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 + -12)\/(-1 + 1 + -1). Suppose u*c - 4*h = 48, -14 = -c - 4*h + 2. Suppose 0 = 11*s - c*s + 410. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1691 - 1685. Solve -12 = -q - o for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-20) + 27\/(-5). Suppose 5*l - 74 = k, 1 + 9 = l - 5*k. Let g be 3\/(-6) + l\/d. Let f(p) = p**3 + 3*p**2 - p - 4. What is f(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 2:02 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4135409?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = g, 5*h - 2 = -3*g - 13. Let r be -2*(h - 8\/(-10)). Let x = -16 + 15. Which is bigger: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0704084892 rounded to 6 decimal places?\nAnswer: 0.070408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*x - 3 + 10*x + 25*x**2 + 12*x in the form z*x**2 + j + g*x and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + 7 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -0.1, 0.4, 1, -2\/11 in descending order.\nAnswer: 50, 1, 0.4, -0.1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 751.5 and -375.\nAnswer: -281812.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1419 + 4948. List the prime factors of u.\nAnswer: 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98594 divided by -6\nAnswer: -49297\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*s + 150 = 0, 123 = 3*y - 37*s + 33*s. What is the highest common factor of 225 and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189 + -46. List the prime factors of l.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - -1*(0 - -6). Suppose -6 = m - 10. Let g be 16\/(-5)*-5*m\/8. Solve x + v = 2*c + 2, 0 = -5*c - 3*x - g for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 11 + 22 - 55 - 91 - 4*t in the form c*t + d and give d.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 112320000 to the nearest 1000000.\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z + 6*z**2 + 6*z**3 - 9*z**2 + 8 - 3*z**3 - 3. Is b(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**6 + 109*f**3 + 5*f**2 + 81.\nAnswer: -480*f**3 + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.3 - 271.7. Let h = d + 263. Is 3 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b + 573. Determine c(82).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4433?\nAnswer: 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8\/78073?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 16*p**2 + 20*p + 113. Let b be j(14). Put -0.03, b, -7 in decreasing order.\nAnswer: b, -0.03, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - j - 1 = -2, -2*j = 4. Let d(m) be the second derivative of 19*m**4\/24 - 9*m**2 + 7*m. Let k(s) be the first derivative of d(s). Give k(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.630603 rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) -0.1 (c) 1\/2 (d) -1\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1908 = 2*o + 4*f, 2*f = -3*o - 540 + 3394. What are the prime factors of o?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*x + 480, -3*y + y - 3*x + 320 = 0. Let h = 167 - y. Suppose -4*k = -w - 18, -k + 6*k = 25. Solve -h*f + 10 = -w*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.8 + -35. Let q = 0.216 - -306.784. Let x = q + -306.9. Are x and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1079411 or -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -5, 2, -89, 1, -4.\nAnswer: -89, -21, -5, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1734.871169 rounded to the nearest ten?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 480684 and -0.1.\nAnswer: 480683.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1506.76192 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 - r - 9. Let z be v(-4). Let d = 7 + z. Let f(h) = -h + 9. Let k be f(7). Solve -4 = k*u + d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*v - 112*v = 754 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 18.93. Let d = -0.03 - u. Put d, 0.1, 0.2 in decreasing order.\nAnswer: 0.2, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-42)\/(-4536)*-18*(-25)\/3?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37.7 - 0.3. Let y = v - -42. Sort -0.5, y, 0 in ascending order.\nAnswer: -0.5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2774 = 275*f - 237*f. Solve 20*v - f = -53*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 231*p - 3001. Determine o(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1661132 and 103\/37148952.\nAnswer: 408638472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3265993527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.3 - -8. Let z = 0 - 0.05. Let i = -1.05 - z. Which is the nearest to 0.1? (a) 0.3 (b) i (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 336 = 3*l, 0*z = -5*l + z + 536. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 2*m**3\/3 - 3*m - 2. Let n be 1 - (0 - (-1 + 3)). Let v(k) = k**2 - 1. Let a be (-2)\/(6\/(-3)*-1). Calculate a*b(g) + n*v(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263865634 a multiple of 4517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 7.1, -104, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -3.5. Let g = -6 - y. Let q = g + 2.82. Round q to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -3232?\nAnswer: -1\/3232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -54?\nAnswer: -7\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/9 - 0)*18. Let u be ((-9)\/(-30))\/((-6)\/q). Is 0 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/16, 2\/95, -6.\nAnswer: -6, -1\/4, 2\/95, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - -2. Suppose -9 = 2*z - 4*z - 5*y, 0 = -y + 1. What is the least common multiple of u and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 - -30. Let z = u + 6. Let w = z - -29. What is the smallest common multiple of w and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**6\/6 + l**5\/4 + 2*l. Find y such that s(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/2 - 2829*l**4\/2 - 14121*l**3\/2 - 2803*l**2\/2 + 29661*l + 25416 = 0.\nAnswer: -2824, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:37 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + (sqrt(19) - sqrt(19)*2)*3).\nAnswer: 5 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 4\/31, 0, -574 in descending order.\nAnswer: 3, 4\/31, 0, -6, -574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390721 is divided by 1156?\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112 (base 4) to base 5.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-6 + 5 + 2)) + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -166655+379.218\nAnswer: -166275.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-68) - 1188\/5236.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/10 - (2 - 3). Let v = -5.2027 + 5.2627. Which is the closest to -3? (a) u (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93d832 - d?\nAnswer: 93d824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d**2 + 6*d**2 + 3*d**3 + (0*d**2 - d**2 + 2*d**2)*(0*d - 2*d + 0*d) + (3*d**2 - d + d)*(-1 + 1 - 2*d) to j*d**2 + b + l*d**3 + g*d and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 207053.26293 + -207142.26292389. Let f = u + 89. Round f to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*k + 3*d, -d + 11 + 20 = 4*k. Suppose -4*q + 60 = q. Let v = q - k. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 6 - (-2 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 721 + 926. Let w = 2507 - t. What is w rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 54\/13 - (12 - 6).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 4, -110?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -w. Let l = 18 - w. Let h be 5\/((-3)\/(l\/(-4))). Solve u + 7 = -5*q, -h*u + 5 + 4 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1625458430 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85.9 + 86.19. Let w = -0.71 - x. Sort 2, w, -1\/2.\nAnswer: w, -1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Suppose -4841 = -t - 1422. Let j(p) = 2 + t*p - 2*p**2 + 2 - 3413*p. Calculate -j(a) - 6*y(a).\nAnswer: 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 821 divide 2128562047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.81 to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b - 1. Let g(z) = 9*z**2 + 3*z - 4. Calculate -g(o) + 3*y(o).\nAnswer: -6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22022 (base 3) to base 8.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12 - -8)\/1 + 18. Let j be (-10)\/s + (-180)\/(-105). Sort j, -120, 3.\nAnswer: -120, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8 + 6*d + 1 + 18 - 3*d. Let n be o(-19). Calculate the least common multiple of 10 and 46\/3 - 20\/n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25300 and 3631100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (-2071)\/38 - 30)*6\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3.85+2.7\nAnswer: 6.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r - 294 = -24*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x - 6. Let l(b) = b**2 - 19*b + 6. Let i be l(19). Let q be h(i). Solve 0 = -5*w - q + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 13) to base 4\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {y: 2, u: 4, j: 7, h: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 8:41 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*x - 6116*x - 1710*x - 3574*x - 827*x)*(3 - 1 + 0).\nAnswer: -24326*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + 4*s + 24, 5*v - 4*s - 40 = 0. Solve 6*q - v*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*z + 5*z - 3*z)*(72 + 70 - 82) in the form p + u*z and give u.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 34087, 0.119, 0?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + 230*m + 144 = 107*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 33*j + 33. Is 65 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/14)\/c**(4\/15) assuming c is positive.\nAnswer: c**(-11\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5445, -2, 0.\nAnswer: -2, 0, 5445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upcf when four letters picked without replacement from {u: 1, e: 6, p: 9, c: 2, f: 1}.\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/7)\/((-3)\/(3\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(1*sqrt(256))*-5.\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/108)\/(3\/18)*(-1)\/1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/144 and -103\/480.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.09 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9169502.\nAnswer: 2, 23, 199337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 824446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/4, -0.3, -1\/2, -0.1, -0.41, 0.4, -2\/9?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3903.079 days in minutes?\nAnswer: 5620433.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 57, 84, 111, 138?\n\"Answer: 27*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*17832.6.\nAnswer: 463647.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 134\nAnswer: -55\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - -13) + 38 + -14 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 + 5*l - 6. Determine f(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2042 + -1444. What are the prime factors of n?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*l**3 + 9\/11*l - 5\/11 - 3\/11*l**2.\nAnswer: -(l - 1)**2*(l + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b + -13?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4\/3, 20, 1376.9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4694\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 2\/5, 18, 4, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, 3, -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**9)**(-18) assuming s is positive.\nAnswer: s**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 0*r**2 + 7 + 0*r - 1\/3*r**3. Let g(h) = 2*h. Give x(g(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084818680 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = 4*d. Calculate the remainder when 39 is divided by 12\/(-48) + 57\/d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 9*c - 5. Suppose m - 8 = -0. Let q be d(m). What are the prime factors of (-1)\/q + (-62)\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + ((-1)\/1)\/(-1). Let c be 8\/6*1\/d. Let a = -0.95066 + 5.95066. What is the second smallest value in c, a, -8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-10 - 1584\/(-168).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-4)\/sqrt(11) - (sqrt(468) + 1) - (-5*sqrt(468)*1 + -5))**2.\nAnswer: 160*sqrt(13) + 5216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 668 + -10?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*v - 3*w, 9*v = 13*v - 2*w - 66. Calculate the remainder when 2392 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.5 and -2.13?\nAnswer: 11.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -70, -90, -128, -190?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4217 (base 12) to base 9\nAnswer: -10811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*g + 105, 4*g = -5*z - 0*z + 93. What is the derivative of 0*a**4 - g*a**4 - 54 + 53 wrt a?\nAnswer: -88*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - q**3 - q**3 + q**2 - q**3 - q**2 + (q - 3*q + q)*(2*q**2 - 2*q**2 + q**2) - 790*q**3 + 1602*q**3 - 787*q**3)*(-2*q + q**2 + 2*q).\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-18)*(-16)\/6. Let s be -1*6 + 2 + q + 4. Let c(x) = -3*x - 7. Let m be c(s). Solve -m*k - 15 = -10*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-1 - -2 - (-71 + 77))) + 4 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*x**3 - 1117*x**2 - 3370*x - 936 = 0. What is x?\nAnswer: -2, -52\/167, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57199*u + 4 - 57214*u + 171641*u - 1 - 57192*u.\nAnswer: 36*u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = 4*p + 3*j + 12, -p + 5*j + 20 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.5, -0.04, -4, -0.22, -1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 377*k - 4145. Give q(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(3\/4))**(-43))**(-1\/25) assuming n is positive.\nAnswer: n**(43\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431 divided by 4.\nAnswer: -431\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156 and 8376?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480174480 divided by 5?\nAnswer: 496034896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -0.078?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 108\/(-44) + -3*(2 + -3). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 9. Let w be 4*2*12\/(-16). Let m be j(w). Solve -7 = 4*z + 5*g, -7*z - 10 = -m*z + 2*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -4*d - d. Let q(t) be the second derivative of 0*t**2 - 1\/6*t**4 + 1\/3*t**3 + d + 5*t. Factor q(f).\nAnswer: -2*f*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-12)\/(w*w**(1\/14)*w) assuming w is positive.\nAnswer: w**(-197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/24 and 113\/3000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -328800 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 228\/95*2625\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326854464 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiqiiiiiqttiqiqi. What is prob of sequence tq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1441411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 515790552 and 7008?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(9\/3) - (4 - 3). What is the tens digit of ((-1)\/(3\/237))\/(r\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + ((-8)\/32)\/(1\/(-8)) + -131\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000018869 to seven dps.\nAnswer: -0.0000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*r**5 - r**4 - r + 4 wrt r?\nAnswer: -560*r**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1809 = -1055*s + 1256*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-148))\/((-46595)\/(-55914))?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 + 3 + -5. Let k be 2*u\/6 - (-14)\/12. Which is the closest to -2? (a) -4\/9 (b) k (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 943 and 25139.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 20 = 4*v + 6*f, -3*f + 12 = 0. Let d be (v - 6)\/((-1)\/3). Suppose -4*w = -a + 4*a + 9, -d = 4*w - 3*a. Let x(y) = -y**2 + 1. Calculate x(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*r + 2*r + 17, 2*l + 5*r = 31. Suppose 0 = l*k - 15, 5*h - k - 3 - 2 = 0. Suppose 3*n - 1 = h*n. Put 0, n, -1 in descending order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77647 + 1159*h**2 + 77647.\nAnswer: 1159*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -4, 3 in ascending order.\nAnswer: -4, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0930543 - 0.3.\nAnswer: -0.2069457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**7\/420 - f**6\/240 - 30*f**2. Factor t(d).\nAnswer: -d**3*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427225.\nAnswer: 5, 57089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**3\/12 + 25*i**2\/8 - 63*i\/2 + 1046. Solve b(z) = 0.\nAnswer: 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -12, -29\/5, 60, 0.1?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from zezzzehhhyyhz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6896070 and 161\/13792140.\nAnswer: 13792140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5045064ml?\nAnswer: 0.0005045064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -17*g**2 - 3*g + 15*g**2 + 4*g. Give o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4329 = 3*t, -242*y - 5*t = -245*y + 4321. What is the remainder when y is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**7\/168 + b**6\/180 - b**3\/2 - 2*b**2. Let t(p) be the first derivative of c(p). Find the third derivative of t(y) wrt y.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 7*b + 8. Let h(q) = 5*q + 5. Determine 8*h(a) - 5*j(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -167*y**6\/120 + 89*y**3\/6 - 35*y**2\/2 + y + 154. Let c(q) be the second derivative of t(q). Differentiate c(a) wrt a.\nAnswer: -501*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 258*s. Let k(d) = -182922*d. Determine 1419*j(o) + 2*k(o).\nAnswer: 258*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10453, -9119, -6891, -3769, 247, 5157, 10961?\n\"Answer: 447*x**2 - 7*x - 10893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {d: 8, i: 3, p: 3, w: 1, a: 3, b: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 2:13 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6, -1\/614, 126, 3\/4, -3, -0.2?\nAnswer: -1\/614","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9033.\nAnswer: 3, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 3 - -8) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + (3 - 5) - 7) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1655290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 102079 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 6 - 19 + 3 - 3)*(-14*i - 5*i + 0*i).\nAnswer: 323*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*h + 31, 26 = 4*n + h - 22. Let i = 382 + -283. What is the greatest common divisor of i and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 15588*c**2 + 46736*c - 31152.\nAnswer: 4*(c - 3894)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48138, -96271, -144402, -192531, -240658, -288783?\nAnswer: -336906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 665531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 464937?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.384 and 2.\nAnswer: 10.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + (-3 - -4) - (-1 - 5). Suppose 11*q = l*q + 4. Let h be -1*(0 - -8301) + q. Round h to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z - 4*k + 65503 = -4*z, 5*k = -z + 13109. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 45 - 23. Solve 2*m - 3*o + k = 0, -4*m + 4 = -9*o + 6*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2076690 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: Suppose 0 = 2*w - 5*q - 43, 4*q + 31 = w + 2. Let z be (w\/2)\/((-4)\/(-8)). Let b = z - 7. Solve -11 + b = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*n = 31, -4*u + 0*n - 4*n = -32. Let f = -0.054 - -0.014. Sort u, f, -1\/9 in descending order.\nAnswer: u, f, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11288 - -11293. Which is the second biggest value? (a) 3 (b) v (c) -3 (d) -22 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-160)\/(-50))\/(2\/5). Suppose 4 + v = -3*q. Let n(k) be the first derivative of -k**3\/3 - 5*k**2\/2 + 9. What is n(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Let h = 0.9 - 0.6. Let l = 0.03 + -1.03. What is the closest to l in w, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/501, -0.3, -0.03 in ascending order.\nAnswer: -5, -0.3, -0.03, -2\/501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-3))\/((-2)\/(-4)). Let w = 99.5551 - 99.8551. What is the third smallest value in q, w, -1.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 0.3 (b) -5\/6 (c) -8.5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3059, -6232, -9349, -12410, -15415, -18364?\nAnswer: -21257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2 - d - 1. Determine c(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 199 by 123.\nAnswer: 199\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -300*g**2. Let d be v(-1). Let i be (d\/(-2))\/(-3 + 2). Find the common denominator of 42 and i\/16 - (-7)\/(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 1085 = -623. Let j = r - 214. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-13\/4)))\/(y*y**12*y*y*y))\/(y**(-7\/6)*y)**(-5\/7))**(-26) assuming y is positive.\nAnswer: y**(14053\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 852 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93924*1.8.\nAnswer: 169063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/((-10 - (-105)\/10) + (-1023)\/2034) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (107669*u - 107669*u - 614*u**3)*(6 - 4*u - 5 - 4*u) as f*u**4 + g + m*u**3 + c*u + n*u**2 and give f.\nAnswer: 4912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 276738325*p**4 + 700440256 wrt p?\nAnswer: 1106953300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41648 + 21?\nAnswer: -41627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*f - 9. Suppose -2*h + 5*s = f*h - 113, -2*h + 4*s = -64. What is the remainder when h is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*k + k + 22, -3*i = -3*k + 30. Let o be (31 - 1)*7\/k. Is (1 + o\/(-9))*-21 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 301745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -518, -769, -1018, -1265, -1510, -1753?\nAnswer: -1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 - 17*w + 3. What is k(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p**2 - p)*(87 - 42 + 10*p - 44).\nAnswer: 20*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.62742ug to grams.\nAnswer: 0.00000962742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**8\/10080 - s**6\/720 - s**5\/20 + s**2. Let j(c) be the third derivative of d(c). Find the first derivative of j(w) wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -929843706 rounded to the nearest 1000000?\nAnswer: -930000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + -2 - -48)*1. Let t be 2\/(1 + 1)*2. Let x be 0 - (-9 - t\/(-2)). What is the greatest common factor of p and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-4)\/(-8) - -2. Let x = -9 + a. Let d be (-9 + -19)*1\/6. Is d bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -21*u**2 + 9*u + 9. Let x(c) = c + 1. Let v be 905\/181 + 2*-2. Give v*l(k) - 9*x(k).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (-85)\/(-30) - (-4)\/24. Which is smaller: y or 2\/2041?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1505 divided by 10\nAnswer: 301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a decade in months?\nAnswer: 2440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -8*n**2 - 2*n - 3. Let y be r(-1). Calculate the greatest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-32)\/12*(-4740)\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200 + -1020111122?\nAnswer: -1020101222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. What is the second smallest value in -2\/7, -5, y, -0.05?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -241 + -1604543?\nAnswer: -1604784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v = -72. What is the highest common divisor of v and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/(o*o**(-20))*o**(-1\/16)*o assuming o is positive.\nAnswer: o**(351\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1660, 1703, 1778, 1903, 2096, 2375, 2758, 3263?\nAnswer: 3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g + 136 = 89*g. Let r be g\/((-22)\/(-18) + (-2)\/9). What is the common denominator of 43\/21 and 1\/(-3)*1139\/r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4356)\/28314*2\/(-14).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 145936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**3 + 20*b**2 + 9*b - 3. Let s(l) = 7*l + 121. Let i be s(-18). Let r(g) = 2*g**3 + 11*g**2 + 5*g - 2. Let k(y) = i*r(y) + 3*v(y). What is k(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 12 - (9 - 3 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105344083 or 105344080?\nAnswer: 105344080","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/2673 and 16\/2187.\nAnswer: 24057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 115306 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974067 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203916.\nAnswer: 2, 3, 16993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 29. Let b(d) = 26*d. Let g(w) = 5*w. Let f(u) = -12*u + 483. Let q be f(40). Let a(i) = q*b(i) - 16*g(i). Calculate a(z(l)).\nAnswer: -2*l + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 49 and -91.51.\nAnswer: -42.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from ggutbbtuguxu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 363871010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -871*g**2*s + 86168285*g**2 + 9162*g*s - s wrt s?\nAnswer: -871*g**2 + 9162*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -p**4\/4 - p**3\/3 + 3*p**2\/2 + 18*p + 38. Let c be g(5). Let k = 129 + c. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-9))\/(j*j**(8\/7)))\/(j**(-5))**(-13))**(3\/25))**(-43) assuming j is positive.\nAnswer: j**(67854\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 5*l - 4*l - 2 + l**2)*(-2*l + 5 - 5)*(262*l**2 - 91*l**2 - 41*l**2).\nAnswer: 520*l**5 - 260*l**4 + 520*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -5478, 1\/12?\nAnswer: -5478","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o. Let g(u) = 11*u. Let k(s) = -5*s + 2. Let m(i) = -119*i + 49. Let r(l) = -49*k(l) + 2*m(l). Let j(a) = 5*g(a) - 8*r(a). Determine c(j(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -0.2 (c) -2.4 (d) 2\/115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjcc when four letters picked without replacement from {j: 1, g: 4, c: 4, y: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*t**2*x*y**3 + 1059*t**2*x - t**2*y**3 + t**2*y**2 + 2*t**2 + 3136*t*x*y**3 - y**2 wrt y.\nAnswer: 12*t**2*x - 6*t**2 + 18816*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -6387681 and -86483.\nAnswer: -6474164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/10*k**2 + 0 + 0*k + 1\/10*k**5 + 7\/10*k**3 - 1\/2*k**4 = 0. Calculate k.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/(-100)*(-1350)\/160 and -97\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 931580647 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1914696 by 3654.\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -18505*(-10 + (9 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.495 rounded to one dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/((-1190)\/(-20)) - (-208)\/34. Solve 4*f + 10 = -u*j + j, 3*f = 2*j - 19 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 25 + 8 = -5*n, -3*d + 64 = 2*n. Solve -17*u + d = -12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 3*y + 2*y**5)*(4 - 4 + 1) - 76*y + 76*y + 8*y**5.\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2307 at most -2308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 8.9, 0.1?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-1\/14))\/f**4)\/(f**1*f*f*(f*f*f**7*f)\/f))**(-14\/3) assuming f is positive.\nAnswer: f**(211\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6932*r**2 + 138828*r wrt r?\nAnswer: 13864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/(4 - 12) - ((-2 - 9) + 2). Solve -79*v - 5*v = -h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(7)))**2 + -3.\nAnswer: -2*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55033535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1823 - -3384. What are the prime factors of q?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1108*-4\nAnswer: -4432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 5*z + 12 = 0, -16 = 2*s - 3*z - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + 2)\/((-3)\/(-3)). Suppose -f - 1 + a = 0. Let m = 11 - f. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 520 - 12?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 13*w + 5*o + 9, -2*w + 10 = -2*o. Suppose -w = r, 8*y = 5*y + r + 20. Solve -y*l - 11 - 1 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 3:59 AM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/9776*-13)\/((6\/(-8))\/((-36)\/96))?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**3\/z))**(-3\/19)\/(z**6\/z)**(-13\/3) assuming z is positive.\nAnswer: z**(1244\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 182 = -278. Suppose -k*w = -14*w - 2684. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3 - 8*d**2 - 6*d**2 - 10*d**2)*(-3*d - 4*d + 32*d).\nAnswer: -600*d**3 + 25*d**2 - 75*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 + 3. Let s(h) = 3*h**2 + 2. Let a(w) = -2*l(w) + 3*s(w). Let f(u) = -77*u - 69*u + 229*u - 56*u. Calculate f(a(r)).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:05 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*h + 61, -4*n + 5*h - 13 = -138. Suppose -7*w = 5*w - 588. Let t = 62 - w. What is the remainder when n is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-4*5)**2 + (-2*sqrt(1539))**2*-3 + 4 + ((sqrt(1539) - 3*sqrt(1539)*-2) + sqrt(1539))**2 + 5.\nAnswer: 695637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*((l + 2*l - 5*l)*(-2 + 3 - 5) - 1 - l + 1).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/20 and -1 + (-13)\/20 + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 856\/20 + 2\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436 + 436 + 2*q + 7*q**3.\nAnswer: 7*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + 226. Let l be (g\/85 - -1) + -4. Which is the biggest value? (a) l (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 11:36 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (30 - (-61 + 194))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90181 and 12103.\nAnswer: 11994073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 9*n**2 - 2*n - 2. Is t(-1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 7. Let j be w(2). Let q(u) = -61*u - 5. What is the tens digit of q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w + 280. Let s = w - 26. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 264?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 5 + 4*o - 4*o + o**2 - 3*o**2. Let n(t) = -1 + 3*t**2 - 5*t**2 + t**2. Calculate -3*n(u) + y(u).\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-40)*(-1)\/((-39)\/130).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -10.2995264?\nAnswer: -28.2995264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/(-2) + -4)\/12. Let w(a) be the first derivative of -n*a**6 + 1\/6*a**3 + 1\/16*a**4 + 1 + 0*a - 1\/5*a**5 + 0*a**2. Factor w(d).\nAnswer: -d**2*(d + 1)**2*(3*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 347 = -5*w + 27, 3*c = 3*w + 168. Let i = -38 - w. What is the remainder when (-258)\/4*2\/(-3) is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d + 200*d**2 - 18*d + 44*d - 12*d. Let n(w) = -2*w. Calculate n(s(x)).\nAnswer: -400*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*q + 8*q - 22 - 138 = 0. Let o = 52 - 18. What is the lowest common multiple of o and q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f + 1. Let s be r(-7). Let w = s + -24. Put w, 0, -5, -1 in increasing order.\nAnswer: -5, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/60 - r**4\/4 + 5*r**3\/6 - 2*r**2. Calculate o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 75. Let k(s) = s**2 - 5*s + 1. Let m be k(5). Calculate the highest common divisor of p and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 0*k + 0*k)*(3 - 2 + 1) - 19 + 25*k + 19.\nAnswer: 29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4053 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/(-1296)*8\/(-14).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519, 503, 475, 435, 383, 319?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -430 - -961. Let k be (-6)\/15 + q\/15. Let f = k + -24. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 - 71. Are -2\/177 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 + -527 - (23 + -118)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 8*a = -220. Let v = a - -79. 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 d = 6646.06 - 6646. What is the nearest to 1 in -0.1, -53, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -3, 2, 399, -0.08, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 6*i + 8. Let x = 31 + -29. Let q be j(x). Find the common denominator of (6 - 117\/18)\/(q*1) and -74\/15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*z + 41, -h - 2*h - 4*z - 31 = 0. Let k be h\/(-36)*4\/(-10). Suppose -1 = c - 2*c. Is k at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 10*r**2 + 2*r - 23. Let b be (-100)\/25 + 5\/(-1). Let t be a(b). Let x = t + -10. What is the greatest common divisor of 210 and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182*1.21.\nAnswer: 220.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:13 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 2575054?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 815075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -20, 11, 66, 151?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -217. Which is the second smallest value? (a) 6\/5 (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**8\/56 - o**7\/210 + 59*o**5\/20 + 139*o**2. What is the third derivative of i(m) wrt m?\nAnswer: 360*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*r + 5*k, 0 = r - 4*k - 0*k - 18. Let d be -6 + (4 - (-1 - r)). What is the units digit of 6\/(d + 50\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 - (60\/(-105) - (-636)\/(-14)). Suppose 0 = 12*p - z + 17. Factor 0 - 1\/7*h**p - 2\/7*h.\nAnswer: -h*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 + 15110*z\/11 + 60472\/11.\nAnswer: -2*(z - 7559)*(z + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170 - 164. Calculate the remainder when 101 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 3*k**2 - 3*k + 1187. Let n be i(0). Suppose -4*j - n = -3*u, -7*u + 1981 = -2*u - 4*j. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**3 - 45*c**2 - 80*c + 24. Determine u(10).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49070\/9 - -5446. What is the common denominator of v and -17\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 5, 25 in decreasing order.\nAnswer: 25, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 11. Let h(o) = 46207*o + 1 - 23102*o - 23120*o. Give q(h(p)).\nAnswer: 450*p**2 - 60*p + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.026 times -375442\nAnswer: 9761.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*h + w, 14 = -4*h + 3*w - 9. Sort h, 4, -2 in ascending order.\nAnswer: h, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35, 1046683 in increasing order.\nAnswer: -4, 35, 1046683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h**3 - 13*h**2 - h. Let d(i) = -33*i - 8*i**3 + 33*i + 12*i**2. Let f(v) = -5*d(v) - 4*r(v). Let f(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 7:04 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - -11. Let y be (32\/(-24))\/((-6)\/9). Suppose 2*m - 4*p = 24, 2*m - 4*m + y*p = -14. Calculate the greatest common divisor of m and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(5\/(-2) + 6\/12). Solve -9 + u = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(605)))**2 + (sqrt(605) + -1 - sqrt(605)) + -3 + (sqrt(605) + -1*sqrt(605))*-1 + 1 + 4.\nAnswer: 88*sqrt(5) + 2425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-86*n - 257*n + 18*n)*(-1 + 2 - 2*n**3 + 0*n**3) to the form p*n**2 + l*n**3 + s*n + r + u*n**4 and give s.\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.38 + -2.37869. Round d to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 52, 54, 38, -2, -72, -178, -326?\n\"Answer: -q**3 + 21*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 15*c**3 - 2*c**2 + 3*c - 1. Let q be i(1). Let d be 3 + 3*(-10)\/q. Let l be -18 + 17 + 19 + d. Solve -x = 4*n + n - l, 5*n + 4*x - 31 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -8.6879041.\nAnswer: 3.47516164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -11*s - 1. Calculate d(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + 3*x**2 + 16*x - 19. Let h(p) = -2*p**3 - p**2 - 8*p + 10. Let t be (-8)\/(-44) - (-53)\/11. Let r(o) = t*h(o) + 3*v(o). What is r(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 212406 and 212406 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 172. Let v = -43 - b. Suppose -i + 89 = 2*c, -3*i - v = -c + 2*i. Does 27 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.5, -0.5, 32 in decreasing order.\nAnswer: 32, -0.5, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/120504 and 41\/5181672?\nAnswer: 5181672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4 - 162216*o**3 - 2191050786*o**2 + 48262017672*o - 265549095867 = 0. Calculate o.\nAnswer: -27047, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -898*i**5*q + 227*i**4*q**2 + 2*i*q**2 - i*q - 281*i + q**2 + 113 wrt i.\nAnswer: -17960*i**3*q + 2724*i**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + -9. Let n = m - -11. Which is the closest to 0? (a) 2 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-378)\/252).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6457412, 12914874, 19372336?\n\"Answer: 6457462*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 25*k**2 + 189*k + 48. What is the remainder when l(-14) is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*z - 0. Suppose 5*t = 3*y - 1, 10 = z*t - 10*t. Let c be (1\/y)\/((-1)\/15). What is the greatest common divisor of 1 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 341, 816, 1439, 2210, 3129?\n\"Answer: 74*s**2 + 253*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 233, 3, -1, -41 in decreasing order.\nAnswer: 233, 3, -1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2 + (sqrt(308)\/sqrt(11)*1)\/(6*sqrt(196) - sqrt(4))*-1)*-6)**2.\nAnswer: 72*sqrt(7)\/41 + 60768\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3990 is divided by 307.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12854812 is divided by 12231.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -898, -3551, -7998, -14239?\nAnswer: -22274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8913.\nAnswer: 3, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3 - 4*f - 3 + 0*f + 0. Let y be v(-4). Let u be ((-3)\/(-3))\/(2\/y). Calculate the greatest common divisor of u and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c86b (base 14) in base 12?\nAnswer: 18027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4 - j - 2 + 4 + 8. Let i be m(10). Let -i*n**4 - 4*n**2 - 2*n**2 + 7*n**4 + 319*n**3 - 316*n**3 = 0. What is n?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 9 + 15. Let d be (27\/18)\/(k\/(-8)). What is the second derivative of -6*o**d + 2*o**4 - 4*o**4 + 2*o + 0*o wrt o?\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (36\/(-3))\/(-3). Factor 3*m**2 + 0*m - 7*m - 2 + 0 - 6*m**2 + x*m**4 + 7*m**3.\nAnswer: (m - 1)*(m + 1)**2*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + n = 5*b - 26, 2*n - 10 = -4*b. Suppose f - u + 0 - 7 = 0, 5*u + 7 = -2*f. Suppose b*a = -0*a + f. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3710 + 23384. Suppose 20326 = 4*t - p. What is t rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557625?\nAnswer: 3, 5, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (68\/(-51))\/(4\/(-21)). Solve -2*l = -z + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 - 834*t**2 - 409*t + 1535. Determine m(-208).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*k - 594*k + 92*k - 1 to h*k + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*x + 8, 9 = -5*p + 4*x for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6584194018 to the power of 1\/2, to the nearest integer?\nAnswer: 81143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 12 = 3*v + n, 3*v = n + 12. Solve 2*s - 2 = v*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**3 - z**2 - 46*z - 17. Let d(n) = -n**3 + 11*n + 4. Let c(v) = 2*a(v) + 9*d(v). Does 8 divide c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1088671, 4355265, 9799587, 17421637, 27221415, 39198921?\n\"Answer: 1088864*y**2 + 2*y - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 20 = 4*h, -5*h + 8*h + 15 = 0. Suppose d = 128*s - 133*s - 25. Calculate the remainder when ((165\/(-12))\/s)\/((-5)\/(-200)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51295, 101640, 151985, 202330, 252675?\n\"Answer: 50345*t + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5 + 7 - 2 - 6*g. Let v(l) = -l + 10. Let u be v(8). Let d(b) = -4*b**2 + 25 - 25 + 3*b**u. Determine m(d(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = o - 12. Solve 6*r + o = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*l**3 + 40\/3*l**2 - 172\/3 + 133\/3*l.\nAnswer: -(l - 43)*(l - 1)*(l + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {m: 5, t: 1, n: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7894 and -7.09.\nAnswer: -7901.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54343 and 1395?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -4*z - 5*a + 7, 13*a = 4*z - 2*z + 111 + 196 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.23 from -901629.\nAnswer: -901628.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 1. Let o be (-40)\/340 + ((-3)\/2)\/((-17)\/24). Sort 4, o, c.\nAnswer: c, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242 - 889 = 647*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -6. What is the remainder when (-3)\/((-30)\/14 + 2) is divided by (-106)\/u + (-10)\/(-25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**5\/3 + 26*y**4 - 264*y**3 + 568*y**2\/3 + 480*y = 0.\nAnswer: -1, 0, 2, 18, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**2)**(2\/57)*(f**3)**(2\/25) assuming f is positive.\nAnswer: f**(292\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = f + 4*j, -2*f + 4 = -3*j - 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 10:45 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 0*i + 0*i**3 + 1\/30*i**5 + 0*i**4 + 27*i**2. Let m(h) = 34*h**2. Give m(l(r)).\nAnswer: 136*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-24) + 45\/4. Let i(w) = -25 - 5*w + 2*w + 50 + w. What is the least common multiple of 14 and i(m)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 10*s**2 + 23*s - 11. Calculate the remainder when 1 is divided by j(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 7. Let v = -8 - -14.9. Let s = -6.8 + v. Which is the closest to s? (a) j (b) -0.02 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151.98 - -152. Let i = -3.078 + 0.078. Sort 0.5, i, g, 2\/21 in decreasing order.\nAnswer: 0.5, 2\/21, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 714 - 234. Suppose c = -35*l + 51*l. Put 1, -2, l, 18 in decreasing order.\nAnswer: 18, l, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from ihiiiiiiihiiiyy.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 432*h**3 + 3698*h**2 - 2*h - 85336562 wrt h?\nAnswer: 1296*h**2 + 7396*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*t + 26 = -107*t. Solve -14*l = -t*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 7*v + 5*b = 90500015, -18100006 = -v - 2*b. What is v rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 11 = -d + 6*d, -18 = -2*d + 3*c. Suppose w = -0 + 1. Calculate the remainder when d is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4662 and 1260?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 755*g**5 - 2*g**4 - 3*g**3 + 40155*g**2?\nAnswer: 45300*g**2 - 48*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j, -2*k - 4*j = -j - 48. Let h be (k\/(-15))\/(1\/(-5)). Let o(z) = 6*z + 5. Is o(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 + (-10 - 67) + (-3 - -6 - -61).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*q - 71061 + 3945 = 172*q - 167*q for q.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-979 - 1194 + 677)*(5 - 4 - 2)*(2*j + 0*j - j) in the form w*j + q and give w.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7583667 (base 10) in base 11?\nAnswer: -430a7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 156485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s**3 + 12*s**2 + 2*s + 1. Let u be i(6). Suppose -5*g + 3*v + 2*v = -80, 24 = 3*g + 5*v. What is the highest common factor of g and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -1012, -29.\nAnswer: -1012, -29, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 + (2 - 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -46715?\nAnswer: -46716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 203227755 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.16 times 1.35?\nAnswer: -16.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(200) - (sqrt(200) + -3)) - (sqrt(98) + 2)*1.\nAnswer: -11 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 964404 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/12*-2*1*-7077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/5 + (-4978)\/(-418)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 233694 or 181.2?\nAnswer: 181.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 411519 (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/((-12480)\/(-560))*54\/(-6363).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-486)\/(-120)) - 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13301 + 0?\nAnswer: -13301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75665.75kg to micrograms.\nAnswer: 75665750000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 2*m**2 + 3*m - 3. Suppose 0 = -2*w + 4, 2*p - 5*w + 4 = 0. Give g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 4*m - 5. Let d be s(7). Suppose 0*z - 5 = 5*b + 3*z, d = 3*b - 2*z. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2 - -1)*83. Suppose -3*i + j = -b, 2*i - 2*b - 112 = -2*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 2:06 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + h**2 + 13. Let z = 6 - 6. Let a be w(z). Calculate the greatest common divisor of a and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 19 + -36 + 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/10 - 4\/(-8). Let b be (0 - 0) + 1 + -7. Let x be 8\/b*(-9)\/(-42). What is the nearest to h in x, -2\/13, -1\/3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2728166 to the nearest integer?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.004 in -95, -8, -13.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 154 - (4516 - 4589).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18768 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4355)\/804 - -6)*(5\/(35\/(-29)) - -4)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*v - 229*v - 1899 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, o: 6, q: 2, w: 3}. What is prob of sequence qe?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-15) + (-55)\/25 - -6. Let k(x) = -x**2 + 8*x + 3. Let z be k(6). Suppose 0 = g*c - 3*a - z, -c - a = a - 1. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1 = 11. Suppose -q + d*q - g - 5 = 0, 3*g + 1 = 5*q. What is the second derivative of 7*m - 7*m**2 + 15*m**q - 8*m**2 - 3*m**5 wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 68\/(-51)*2\/(-16). Let m(s) be the third derivative of 1\/120*s**6 + 0*s**4 + s**2 + 0*s**5 + 0 + 0*s + g*s**3. Differentiate m(d) wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 191.7584 + -67663.\nAnswer: -67471.2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/475 (c) 0 (d) -3.791\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is -964 bigger than -965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-16)\/(-4)))\/((-1)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:37 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3876, -3979, -4078, -4173, -4264, -4351?\nAnswer: -4434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1542 + 3453. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110101101100111000 - -100?\nAnswer: -1111110101101100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00514451562 rounded to 7 dps?\nAnswer: 0.0051445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14390, -14366, -14292, -14144, -13898, -13530, -13016?\nAnswer: -12332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*t + 7*t. Put 5, 2, t in increasing order.\nAnswer: t, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 - (-3)\/(-54)*6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than -47\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 267*y + 263*y + 263*y + 268*y - 1056*y.\nAnswer: 5*y - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5494 + -3603. Let c = -1164 + j. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - d + 2*d = 21, 3*g - 2*d = -7. Let w(y) be the third derivative of -y**4\/12 - 2*y**3\/3 + y**2. Let z(i) = -2*i - 5. Calculate g*w(h) + 4*z(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1116\/(-30))\/(2142\/(-5355)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b + 68. Let s(w) = -6244*w - 544. Determine -24*f(g) - 3*s(g).\nAnswer: 18780*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1065 = -5*c + 10*c + 3*n, n + 437 = 2*c. Suppose 0 = -3*m + c - 45. Calculate the remainder when m is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-5) + 4 + -3. Let c be (-3)\/(-4)*4*l. Suppose -4*g + 62 = 4*v + 6, c*v + 5*g = 38. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 1109*b**4 - 3*b + 2194*b**4 - 1087*b**4 + 15*b**2 + 2 - 9*b as i*b**3 + g*b + v + l*b**2 + x*b**4 and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*i - 14*i - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 3*o - 18*o - 13*o.\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 47\/3 - 1\/(-3). Let h = k - 10. Is (h\/(-4))\/((-4)\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2198627415 to the nearest integer?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6204608 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22149*t**4 - 360*t**2 - 3*t - 5 wrt t?\nAnswer: -531576*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3008267 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -9.6. Let t = 5.025 + -0.025. Which is the third biggest value? (a) t (b) v (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/42*1)\/(493\/((-403767)\/702)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f**2 - 2*f**2 + 3*f**2)*(-4*f**2 - 2*f**2 + 5*f**2) + 5*f**4 + 2*f**4 - 5*f**4)*(-2038*f - 1811*f - 982*f - 1150*f).\nAnswer: -17943*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k**2 - 241*k - 7. Let h be f(-30). Let d(i) = i**2 - 23*i + 5. Give d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2172)\/(-5) - (-14)\/(-35) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (-318)\/(-4)*(35 + 11021\/(-309))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxu when three letters picked without replacement from {h: 8, u: 4, x: 5}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -4, -1 in ascending order.\nAnswer: -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183915 and 457744?\nAnswer: 20598480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 650061 + 6?\nAnswer: 650100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558 at least as big as 2596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -4*s, 0 = -f - 3*s + 11. Let u = 5 - f. Is 2 a factor of 2 - (-7 - 0 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*15 + 0 + -1. Let l(c) = c**3 - 7*c**2 + 6*c - 14. Let q be l(7). What is the highest common divisor of o and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjfujnuutuuufutfj. Give prob of picking 1 f, 1 t, and 1 n.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:43 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, 1, -32 in ascending order.\nAnswer: -32, 1, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1667133362 + 5.492\nAnswer: 1667133367.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*f - 9944 = 21970 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78922836 or 78922837?\nAnswer: 78922836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/5, 70, -5, -13\/869?\nAnswer: -13\/869","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h**4 + 38019*h**3 - 73*h**2 - 9874 wrt h?\nAnswer: -72*h + 228114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308 - 306 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eszssnrneneyerzeeeee. What is prob of picking 1 n, 2 r, and 1 y?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 24910450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -19?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131406990 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10481069887*j + 2*j**2 - 10481069887*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 2de?\nAnswer: 2d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 4844, -13\/2 in decreasing order.\nAnswer: 4844, -13\/2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*(-146)\/4 + (-16)\/(-8). Let l = -218 + o. Solve 0 = f - 6*x + 3*x - 4, x - 4 = l*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roww when four letters picked without replacement from {j: 1, r: 1, w: 2, o: 1, v: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/7)\/6 - 66\/(-14). Suppose a*w + 0*c = c + 687, 15 = 5*c. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13401?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 2*v + 2*v**2 + (5 - 5 - 9*v**2)*(2 - 4 - 2).\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -35\/13 (c) -42\/127 (d) -2\/565\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -14779*z**2 + 4*z - 1. Suppose 3*x = 6*x - 9. Let h be f(x). What is h rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 21*h**2 - 50*h + 9. Give r(-23).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2150319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37990 is divided by 931.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*0.04.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -11011011020110?\nAnswer: 11011011020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 - 2. Let a(t) = 11*t. What is m(a(v))?\nAnswer: 605*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*x + 2*x - 29, 0 = -3*d + 5*x - 19 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1082, 4, 5, 2 in decreasing order.\nAnswer: 5, 4, 2, -2, -1082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/47692 and -93\/2694598?\nAnswer: 5389196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -62987, -125979, -188973, -251969, -314967, -377967, -440969?\n\"Answer: -r**2 - 62989*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 382214 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101 + 241. Let h = d - 136. Let n(x) = -2*x**2 + 6*x - 6. Give n(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.07 + -308.5\nAnswer: -311.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/176 and -65\/14?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 957 = -8*k. What is the highest common divisor of 435 and k?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 - 7*f**2 + 4*f**2)*((-f - f + 3*f)*(0*f + 4*f - 3*f) + 20*f**2 + 7*f**2 - 5*f**2).\nAnswer: -230*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 11 - -7 - (5 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*w + 3*s, -w - 3 = 3*s + 1. What is the first derivative of -4*d**w - d + 26 - 26*d**2 + 1 wrt d?\nAnswer: -60*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/((-82)\/(-1476)*12\/(-15))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 4*i**2 - 10*i - 17. Calculate y(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 6:28 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1158*d + 202176 = -2586*d for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -45\/2 - 1\/4*j**2 + 91\/4*j = 0. Calculate j.\nAnswer: 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - u + 5075 = 0. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/2008682 and 55\/6?\nAnswer: 6026046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 6.6. Let h = -13\/15 + 67\/60. Let v be (-23)\/3 + 2 + 5. Which is the nearest to o? (a) v (b) -5\/4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6 = -m - 0*r, -2 = 4*m + r. Is 4\/3 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - -9. Let l = -55 + h. Let z be (-4)\/(4\/(-2)) + (-117)\/l. Which is greater: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -6 + (-9 - -14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - 153. Suppose -3*k - 4*f + 1964 = 0, 5*k + 2*f = o*k - 1314. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -4. Suppose -2*t + 41 = -n. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 3:59 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.406 - -0.024. Let n = -0.01 - -0.04. Let b = q - n. Which is smaller: 1\/2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 43 + 60\/(-45)*(-6)\/4. Let k = -37 + d. Suppose -14*s = -k*s - 366. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 250 = -15*d - 0*d. Solve d*p = -17 - 43 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 23*u**2 - 41*u + 1. Suppose 17 = 3*z - 31. Calculate the least common multiple of i(21) and z.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117605900 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329498387?\nAnswer: 7057, 46691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4990*z**2 - 10. Let i(j) = 3732520*j**2 - 7485. Give 2994*f(h) - 4*i(h).\nAnswer: 9980*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 45*f - 264. Determine s(-39).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 246387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -1.4. Let m = -9 + r. Let b = m - -7. Which is bigger: -0.05 or b?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.336007 plus -47420.34?\nAnswer: -47420.676007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -778 greater than -4675\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (8\/(-3) - 4\/(-6)). Suppose -3*p = 2*g + 2, -5*p + 3*g + 18 = -v*p. Solve p*j + y + 6 = 0, 2*j = 2*y - 3 + 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**5 - 378*k**4 - 11127*k**3 + 49140*k**2 - 50700*k.\nAnswer: -3*k*(k - 2)**2*(k + 65)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-7)*((-385)\/(-20))\/(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*v + 3*x - 27, -141*v + 66*v + 39 = -70*v - 3*x for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.68 plus -0.90041?\nAnswer: -117.58041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.2, 63\/1384, -2\/9, 5, 2\/3.\nAnswer: -1.2, -2\/9, 63\/1384, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1252 + 982*k + 1082*k - 1403*k with respect to k.\nAnswer: 661","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20869177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833335689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 20, 14192, 5, 3 in decreasing order.\nAnswer: 14192, 20, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90\/23 + -9\/23. Which is bigger: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -777 + 162 = -i - z, -2*i + z + 1221 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -72027?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - x - 3)*(-4*x**3 - 2*x**3 + 3*x**3) - 10*x**4 + 4*x**4 + 7*x**4.\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386 - 353. Calculate the remainder when 115 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (279*c + 36*c**3 - 279*c + (1 - 1 - 4*c**2)*(c + c - 3*c))*(-11*c + 0*c - 2*c) to r*c + z + q*c**2 + s*c**4 + a*c**3 and give s.\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 785*v**7\/21 - v**4\/3 - 23*v**3\/3 - 425*v - 3. What is the third derivative of z(m) wrt m?\nAnswer: 94200*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)\/(p*p**(-3\/8)\/p)*(p**(-2))**13 assuming p is positive.\nAnswer: p**(-221\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*b + 25, 20 = 12*i - 14*i - 4*b. Sort -1, i, -4, 2 in decreasing order.\nAnswer: 2, i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 3, -1, -6, -33, 7 in increasing order.\nAnswer: -33, -6, -4, -1, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -136*t**2*y**5 - 118898*t**2*y**3 + 157844*t**2 - 97*y**2 wrt y.\nAnswer: -8160*t**2*y**2 - 713388*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 27*y - 391. Let g be p(15). Solve -g = -3*v + 3*t - 5, -2*t = v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (756 - 667 - 567)*(3*h + h - 5*h) in the form u*h + z and give u.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 - 3*s + 1. Let z = 25 - 16. Let o = 6 - z. Let l(m) = 7*m**3 + 5*m - 1. Give o*l(b) - 5*q(b).\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-6 - -15) + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-248)\/(-217)*(-14)\/(-20)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/(-15) - (1 - 1). Suppose -r - 5*g - 24 = 0, 5*r + 3*g - 6*g = 20. Which is the second biggest value? (a) -3 (b) r (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62353, 498919, 1683877, 3991423, 7795753, 13471063, 21391549, 31931407?\nAnswer: 45464833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Suppose -2*q + 4 = -q. Suppose 0 = -q*z - 5*o + 15, 2*z - 2*o - o = 13. Solve -b + z = -2*i, -w*b - 15 = -7*b + 4*i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -330, -492?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -25dbd?\nAnswer: -25dbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341208 to the power of 1\/2, to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + b - 2*t - 3 = 0, 3*b = -2*t + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -567 - -584. Let m(u) = -2*u**2 + 41*u - 81. Let p be m(g). Solve 44 = 2*k + p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4900204771.\nAnswer: 7, 11, 9091289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008227468005 to five dps.\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6)\/27 + (-245)\/(-9) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513476272.\nAnswer: 2, 32092267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130179 is divided by 21696.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j - 4 = 0. Suppose -f - 4 = 0, -j*f - 74 = 2*w - 196. Is (-1 + 3 + w)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7037717?\nAnswer: 149, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2 = -3*i, 5*i - 4*y - 3 = -2*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -29\/2 (c) 3 (d) -1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 0.06 (c) 5 (d) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 + 4 = 0. Solve 3*c - x = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2 + 9049821*g + 9049818 = 0.\nAnswer: -3016606, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3a + -2?\nAnswer: -b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 8. Suppose 3*p = -4*t + 166, -2*p + p + t + 46 = i. Suppose 0 = 5*s - 2*s - 375. What is the greatest common divisor of p and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 164, -2728, -2, 3 in ascending order.\nAnswer: -2728, -2, 2, 3, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11 - 6\/11*i - 2\/11*i**2.\nAnswer: -2*(i - 1)*(i + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -763 and 51.\nAnswer: -38913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-30)*23\/((-621)\/(-36)). What is the nearest to r in 1\/10, -4, -83?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**3 + 3197400*m**2 + 851956822119*m + 5111625826962 = 0. Calculate m.\nAnswer: -532897, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1473\nAnswer: -5\/1473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x, -x + 2*x + 2 = z. Solve -12 = -2*v + z*f, 2*f = -1 - 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 3*q = 30, -18 = k + 4*q + 5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 419054413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2304 = 2292 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2086321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6029 rounded to two dps?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 10*c**2 - 11. Let x(r) = 2*r. What is x(l(o))?\nAnswer: 20*o**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*b + 5*h + 20, -5*b = -h - 8. Sort -8, b, -4.\nAnswer: -8, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 - 0.2. Let f = -262 - -251.1. Let y = f - -8.9. Sort -5, y, q in increasing order.\nAnswer: -5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8178, 32722, 73636, 130926, 204598?\nAnswer: 294658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 1a?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**4\/24 + 3*r**3 - 6*r**2 + r + 31. Let k(m) be the second derivative of t(m). What is k(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 58 = 2*i - i, -5*c - 3*i + 280 = 0. Let f = 37 - c. Which is bigger: f or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 79?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -205324, -821409, -1848258, -3285871, -5134248, -7393389?\n\"Answer: -205382*d**2 + 61*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 + 3*y - 3*y)*(132533 - 132533 - 3810*y**2 + (-y**2 - 4*y**2 + 3*y**2)*(-4 - 2 + 4)) as u*y**4 + k*y + o*y**3 + s + n*y**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 12*g + 5 = 11*g, 4*w + 15 = -3*g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 471607 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = f, 0*f - 2*f + 4 = 3*a. Suppose 7*n - 360 = a*n. Suppose 85 = j - n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let o(w) = -110*w. Calculate o(s(a)).\nAnswer: -330*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 28*g + 79. Calculate k(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t**2 - 5*t + 4. Let c be b(1). Suppose 5*l + 40 = 5*q, -3*q + l + l + c = 0. Solve q = -2*a - 4, -a = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/16)\/((63\/6)\/(-7))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 8*f + 26. Give u(9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/2 - 17781*b**2 - 23724519*b\/2 - 1960244510 = 0. Calculate b.\nAnswer: -329, 36220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrne when four letters picked without replacement from jenznzefrfzj?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 972?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 9. Let w be 20\/30 + o\/6. Suppose 2*h - 5 = i, 4*h = -2*i - 2 - 0. Solve w*x - h = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/(-12) + (-21)\/(-3).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162318, -649364, -1461114, -2597574, -4058750, -5844648, -7955274, -10390634?\nAnswer: -13150734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1769 - 1760. Let c(k) = -9*k + 74. Calculate c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -3, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (26600\/30)\/(1\/3) and 266?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 28*n - 3. Let k(w) = 308*w - 32. Let v(p) = 32*j(p) - 3*k(p). Let m(r) be the first derivative of r**3\/3 + 12. Calculate v(m(z)).\nAnswer: -28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 6 - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/28*(3\/(-42))\/(-1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31277?\nAnswer: 31277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -524.3284131 - 701.671743. Let d = j - -1226. Round d to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.4 (c) -4 (d) -0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 187\nAnswer: 5\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(20\/(3 - 8)). Which is bigger: 5\/8 or t?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j**4 - 75*j**3 + 90*j**2 + 195*j + 42 = 0 for j.\nAnswer: -7, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -1. Suppose z - 19 = -5*k, 3*z + c*k - 35 + 8 = 0. Suppose 2*l = 4*w + z*l - 28, 5*w + 5*l = 30. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19584)\/3060*(-15)\/72)\/(2\/12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**9\/126 - x**6\/60 - x**5\/30 - 29*x**3\/3 + 6*x**2 - 2. Find the third derivative of l(p) wrt p.\nAnswer: -480*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136\/3*u**2 + 44\/3 + 14\/3*u**3 - 194\/3*u = 0.\nAnswer: -11, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1994, -8053, -18164, -32333, -50566, -72869, -99248, -129709?\n\"Answer: -p**3 - 2020*p**2 + 8*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 8. Let z be a(10). Suppose -28 = 4*k - 132. Find the third derivative of -z*c**6 - k*c**6 + 17*c**2 + 10*c**6 wrt c.\nAnswer: -4080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1\/((-8)\/121824*-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28672\/(-180320) + (-24)\/1932.\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-8) + 74\/16. Let z = 2 - 4. Sort f, 3, z in increasing order.\nAnswer: z, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -717*x = -742*x + 125. Let q(f) be the second derivative of 1\/50*f**x + 0 + 2\/15*f**4 + 1\/5*f**3 + 41*f + 0*f**2. Let q(p) = 0. What is p?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*y = -23, -4*q - y + 3 + 5 = 0. Let a be 3\/((-2)\/q - -3). Let i be 2\/a + 20\/(-12). Which is greater: i or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 651, 5, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h + 2 + 26*h - 35*h + 58*h in the form p*h + r and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*m - 16 = 0. Let p(d) = -643*d - 7071. Let c be p(-11). Solve -c*z + m*z = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1 + 26508 + -1. Let p = 249149337 + -6976923495\/28. Let z = p + g. What is the common denominator of z and -101\/40?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = 5*f - 3, -11344*u - 21 = 5*f - 11343*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - (sqrt(60) + -2*sqrt(60)) - sqrt(15))*-4)\/(3*-6*(sqrt(5)*2 - sqrt(5))).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - o. Let j(c) = 3*c**3 + 36*c**2 + 5*c. Give -j(k) - 2*n(k).\nAnswer: -k**3 - 36*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 4 + (-3 - 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.785 - 0.095. Let i = x - 0.25. Let j = -0.21 - i. Round j to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -21 - (-16 + -339 - 13) is divided by 150.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 5*m = -2*c - 108, 0 = -3*c + 3*m - 159. Let d = -46 - c. Solve -d*l + 3*l + 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/29 - (-250)\/(-3625))*1. Let n(y) be the second derivative of p - 17*y**2 + 47\/6*y**3 - 10*y. What is the derivative of n(g) wrt g?\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166552845 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3) - (-11)\/3 - (-45 + 48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*k - 10 + 36 = 0, 3*a = 4*k + 25. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:41 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 7*o - 1. Suppose -4*g = 2*b + 12, 2680*g - 8 = 2684*g + 3*b. Let w(p) = p**2 + 8*p. Give g*w(j) - 6*i(j).\nAnswer: j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*h + 319 - 794 = -367 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10110110 (base 2) to base 9.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -238911, -477827, -716743, -955659, -1194575?\n\"Answer: -238916*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 44 = -4*k, 2*k = -a + 4*k + 16. What is the highest common divisor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**5\/2 - 4923*g**4 + 44136*g**3 + 161961*g**2 + 343629*g\/2 + 58914 = 0.\nAnswer: -1, 12, 3273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 23934*f**2 + 1 + f**3 - 23947*f**2 - 9*f. Give d(13).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11280 and 18800?\nAnswer: 56400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(2\/(-10)*(20580\/(-21))\/(-49)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0. Suppose -6*t + 21 - 15 = 0. What is the third smallest value in 0.1, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-20))\/(36\/(-32)). Let d = 270.104 + -270.02. What is the smallest value in x, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 175962899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -299101 divided by -299101?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 13.5. Let i = z - -0.5. Put -4\/3, 1, i in decreasing order.\nAnswer: i, 1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779616837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 4.2. Let k = -81 + 85. Suppose -k*j - 14 = -x, j - 2*x + 7*x + 14 = 0. Which is the nearest to u? (a) 0.1 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)\/1 + 10. Let c(s) = -s**3 - 2*s**2 + 99*s + 198. Let g be c(-2). Suppose g = -l*d + 8*d + 324. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*w - 5*j = 187*w + 1612, -4*j = -3*w - 156 for w.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 + 0*m**4 + 0*m**4 + m**4 + 2*m**2 in the form v*m + h*m**4 + d*m**2 + g*m**3 + s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/7, -2, 0.1, 1\/56?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31605 by 2107.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/17)*(m\/((m\/(m\/(m**(1\/2)\/m)))\/m*m))\/m)**12*(m**5\/((m\/m**(2\/5))\/m))**42 assuming m is positive.\nAnswer: m**(20688\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59.963 + -60. Let m = 0.019 - h. Let x = -0.586 - m. What is x rounded to two decimal places?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 482093 (b) 0.03 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/6808849?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -36944024 divided by 42367\nAnswer: -872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -37261370, -74522736, -111784100, -149045462, -186306822, -223568180?\n\"Answer: k**2 - 37261369*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61211901 to the nearest integer?\nAnswer: 7824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:24 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2589.999997003 - -2590. What is d rounded to 7 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313059 is divided by 20532?\nAnswer: 5079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.2, -11, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - x + 803 = x, -2*j - x = -321. Calculate the highest common divisor of j and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(2\/9)*h))\/h**(-1\/2)*h*h**(-7)*h**(-2))\/(((h*h**(-1\/9))\/h**(2\/3))\/(h**(-2)*h)**(-43)) assuming h is positive.\nAnswer: h**(631\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((294\/(-9))\/(-7))\/(-8*(-11)\/(-396))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 5*a + 868, 21*a - 20*a - 1736 = -2*g. Suppose 67*r = 39*r + g. Solve -2*s - 15 = -3*s + 5*c, 4*c + r = -3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 7*k + 35. Let m(j) = 3*j - 12. Calculate the remainder when (1 - -1) + 11 + 20 is divided by m(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 22. Does 32 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 1466 = 530. Which is smaller: m or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -7*w + 17 + 14, 5*w = -o + 5*w + 5*w - 40 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2. Let k be s(0). Suppose k = 5*t - 2*t - 21. What is the remainder when 11 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-8))\/((-1)\/230). Suppose -w - 57 = -4*l. Calculate the remainder when l is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - f + 105084 = -0*f, 4*n - 4*f = 105044. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/3 + 1. Let x(l) be the first derivative of -25*l**2\/2 - 17981. Give x(a(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 71291, 71313, 71347, 71393, 71451, 71521, 71603?\n\"Answer: 6*c**2 + 4*c + 71281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 335 = 280. Let g = 43 - -20. Factor -6*z - 66 + g + 2*z**2 - m*z**2.\nAnswer: -3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19980 divided by -185.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3368398721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z - 20. Is (-2)\/z*(2 + 188) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4924 is divided by 224?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*o + 3*b, -7*o + 3*o + 3*b + 36 = 0. Let r = -2 + 6. What is the remainder when o is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**3 + 4*g**2 - 2*g - 1. Let r(y) = -3*y**3 + 3*y**2 - y. Let v(d) = 6*r(d) - 5*x(d). Does 7 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 678630 and 930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -i**3\/3 + 2*i**2 + 19. Let v be k(5). Let y be 2*(v\/(-5) + (-3)\/(-2)). What is the third smallest value in y, -5, -0.06?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3))\/t*t*(t\/(t*(t\/(t*t\/(t*t**(-2\/17)))*t)\/t))\/t*t**6\/(t*t*t**(6\/5)\/t))**19 assuming t is positive.\nAnswer: t**(22211\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuxxxxxuuuxu. What is prob of sequence uxxx?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = 4*v - 353. Calculate the remainder when v is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1878 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5272?\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -120 - -134. What is the remainder when 135 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21.08 (b) 2\/21 (c) 0.1 (d) 939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1474 - -a30?\nAnswer: 20a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 + 11*s - 83)*(4*s**2 + s - s + (-1 + 3 - 1)*(-7*s**2 - 2*s**2 + 3*s**2)).\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -139, -23, 32?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 162582168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14085?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1701) - -3*sqrt(1701))\/sqrt(3).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 74645688 divided by -6?\nAnswer: -12440948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 38d216 (base 16) to base 15\nAnswer: 4d8533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477210584?\nAnswer: 2, 107, 557489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 102*s**3 - 2811*s**2 - 35226*s - 14985 = 0. Calculate s.\nAnswer: -9, -15\/34, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*h - 46, 4*h - 11 = -3*d - 94. Suppose 0 = -w - g - 25, 3*w - g + 55 = g. Let z = w - d. Solve z*p = p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Factor -2*y**4 - y**3 + 0*y**c + 0*y**3 + y**4.\nAnswer: -y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 624\/(-110) + (-2511)\/(-465)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -2. Let y be v - (2 - -2 - 3). Let m = 11 - y. Which is the second biggest value? (a) m (b) -4\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-360)\/(-4))\/(975\/(-195))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(2*75\/(-180))*24\/(-288)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-88)*(-1 - 0). Sort -5, -23, l in decreasing order.\nAnswer: l, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {b: 5, q: 8}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 7. Let u(q) = -3*q - 5. Let z(f) = -2*r(f) + 3*u(f). Suppose -3*d + 5*d + 4 = 0. Calculate z(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + -0.22. Let g = 3.08 + -0.08. Let z = g + 2. What is the second biggest value in i, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65958010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00123356 to 6 decimal places.\nAnswer: -0.001234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 80801?\nAnswer: 323204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -10. Let q be (-2 - (-5 + 2)) + 1. Let u = 1070 + -1069.8. Which is the nearest to 3\/4? (a) u (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15205267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 5979?\nAnswer: 47832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01053373 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -10, -6, -3, -5 in increasing order.\nAnswer: -10, -6, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 * -0.45\nAnswer: 0.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 5*d + 36, 3 = 4*d - 9. Solve -2*o = 3*a - x, -2*o - a - 4*a = -9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -s + 2*a, 4*s + 1 = 5*a. Suppose 0 = -3*o + 4*c + 32, 2*c = c + s. Suppose -6*y + 3*y = 0. Solve j + 2*j - o = y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -23, 0.433, 2\/5 in decreasing order.\nAnswer: 0.433, 2\/5, 0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 43 = -j, 11*j + 11 = -4*x - 13*j + 25*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -19. Suppose 0 = o - 42 + w. Suppose 0 = -4*u + 3*u + o. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 63*l**2 + 3*l + 3. Let a be k(-3). Let s = a + -256. Is 7\/35*s - 1*-1 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-11))\/(3\/(-4)). Let a = 6650.2 - 6650. Let i = -0.05 + 0.05. Put u, i, a, 4 in decreasing order.\nAnswer: 4, u, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2 + 5 = 0. Let l(h) = -h - 1. Let b(r) = r - 20. Let v be b(10). Let o be l(v). Solve p = 5*c - o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2104112 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-50)\/(-15)*(-5)\/(-325). Which is the nearest to -2\/7? (a) 2\/7 (b) n (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7085648.\nAnswer: 2, 37, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -795.3 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -33.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -345?\nAnswer: 4\/345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 8:07 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 3*b + 501*d + 294 = 503*d, -3 + 15 = 4*d for b.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (607*l - 12 - 305*l - 307*l)*(-l + 3*l + 0*l).\nAnswer: -10*l**2 - 24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b**4*i**2 - 25*b**3*i**3 + 2*b**2*i + 54*b*i**3 wrt b.\nAnswer: -120*b*i**2 - 150*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l + 5*l + 15*l - 3115 = 0. Calculate the remainder when 129 is divided by l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {v: 3, l: 2, f: 1, c: 10}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + u + 21, -3*j = -5740*u + 5744*u + 46 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -34*u**4 - 3*u**2 + 35*u**4 - 228*u**3 - 17*u - 10 + 233*u**3 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1278*l**2 + 3*l. Let j(x) = 642*x**2 + x. Determine 3*a(d) - 7*j(d).\nAnswer: -660*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13206*m - 2410. Does 8 divide g(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -3, 5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 3*z - 1473, -2*z = -2*j - 0*j + 994. Let g be 1097438\/19 + 52\/j. Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -60*h + 1386. Give q(12).\nAnswer: 666","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 36. Let h be b(-26). Suppose -2 = -2*q + h. What is the smallest common multiple of 21 and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/((-14 + -10)\/(-3)) + (-663)\/12.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3132416 - 32?\nAnswer: -3132451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -454*(-3)\/(-36)*-1 - (16473\/306 - 54)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 4\/4)\/4*4. Let c(g) = -2*g**2 + 1. What is c(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-2*(0 + sqrt(448)) + -5)*5)**2 + 1)*-6 + 5 + -2.\nAnswer: -4304553 - 96000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0414 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 8*c. Suppose -12*o - 4*d = -7*o - 35, c = 4*o - d - 49. Calculate the highest common divisor of 99 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of -1\/150*a**5 + 0*a + 0 - 3*a**2 - 1\/15*a**4 - 4\/15*a**3. Factor y(l).\nAnswer: -2*(l + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6359107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4996836 or 4996796?\nAnswer: 4996796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 10*a + 2. Suppose -o + 5 = 4*o. Let p be (-162)\/(-24) - o\/(-4). What is the units digit of n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48501.\nAnswer: 3, 17, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17682*f**3*u**2 - 6906*f**3 + 8563*f**2 - 1545*u**3 + 1 wrt u.\nAnswer: 35364*f**3*u - 4635*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1190421 by 396807.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 6*f**2 + 14*f - 1. Let q be n(-7). Let d = q + 548\/11. Which is the smallest value? (a) 1\/2 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1 (b) -3 (c) -4 (d) -168\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/5*(-2 - 1). Suppose 2*q + 2 = 2*t, -1 = -t + 3*q + 2. Let y be (-1)\/2*t + (-60 - -47). Sort y, a, -1\/11.\nAnswer: y, -1\/11, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 11679*m - 5002410.\nAnswer: -3*(m + 490)*(m + 3403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -24*y - 237. Suppose -163*b - 110 = -152*b. Let f be w(b). Sort 1, f, 6, -3 in descending order.\nAnswer: 6, f, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b + 23b69?\nAnswer: 24008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 269473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(1 - -17) + 14\/6. Let b(z) = -z**2 + 9*z + 12. Let o be b(10). Solve -w*j + 6 = o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165333, 661239, 1487743, 2644839, 4132521, 5950783, 8099619, 10579023?\nAnswer: 13388989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 502518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 3*b**2 - 2*b**3)*(b**2 + b**2 - b**2) - 3*b**5 - 2*b**5 - 2*b**5 + 4*b**5 - 4*b**5 - 4*b**5.\nAnswer: -13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 3*o**2 + 3*o - 2. Let t(m) = 4*m**3 + 7*m**2 - 7*m + 5. What is -7*g(w) - 3*t(w)?\nAnswer: 2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2697 - -2695. Which is the nearest to -3\/47? (a) 0.5 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 11*i - 14. Let r be 0*(52\/12 + -4). Determine j(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 8. Let i be g(0). Let a be (-2)\/(-3) + (-140)\/(-42). Let r be ((-1)\/3)\/(13\/(-39)). Sort i, a, r in decreasing order.\nAnswer: i, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 0 + sqrt(1053) + sqrt(1053) + 3 + -4 + 0 + sqrt(1053) - (-5 + ((sqrt(1053) + sqrt(1053) + -2)**2 - sqrt(1053)) + sqrt(1053) + 4)) + 5.\nAnswer: -4211 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7846226 divided by -32.\nAnswer: 3923113\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-55) + (-92)\/(-44). Solve z*j + 3 - 5 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/51)*w**(-8\/9) assuming w is positive.\nAnswer: w**(-130\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - -5) + (-1 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let b(j) = j**3 - 23*j**2 + 61*j - 19. Let z be b(20). Suppose z = t*y + 5. Which is smaller: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) -6\/7 (c) 0.579\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 18 = 2*s + 19, 2 = -s - 5*p. Put -4, s, -3, 5, -38 in decreasing order.\nAnswer: 5, s, -3, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 43*k**2 + 3*k + 56. Determine f(-43).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21.87 + 22. Let q = -0.12 + m. Which is greater: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-35)\/(-10))\/(1\/(-2)). Is -7 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 + 11*g**2 - 14 + 87*g + 3*g**3 - 72*g. What is the tens digit of d(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*d**5*u**3 + 6*d**2*u**3 - 130*d*u**3 wrt d.\nAnswer: 680*d**3*u**3 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250431 is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-5)*d*d\/(d\/(d**4\/d)))\/(d\/((d**1*d)\/d))**11)**(7\/3))**(6\/19) assuming d is positive.\nAnswer: d**(140\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -5*x - 80. Let p = -11 - x. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 4*w - 8. Let d be o(6). Suppose -a = 5*p + 26, d*a = -0*p + p + 1. Let t(s) = -s**3 - 4*s**2 + 5*s + 6. Determine t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 103, -0.123?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 8*f + 10. Let p be y(6). Let g be 1\/p - 55\/(-22). Suppose 147 = g*x - 427. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 99975 = 67115. What is the greatest common divisor of 70 and m?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9084115?\nAnswer: 5, 601, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*a + 2. Let c be (-5)\/a*12\/(-4). Suppose 0 = c*i - 2*i - 36. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**2 - i. Let a be y(-1). Suppose 2*v + 3 = -5, -5*p - 3*v - 2 = 0. What is the closest to 0.1 in 2\/7, p, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8010 - -8041. Solve -l*y = 18*y - 196 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 - 10 = 5*y, 3*p - 9 = -5*y. Let l(i) = i**2 - 8*i + 1. Let v be l(p). Let t(z) = z - 1. Give t(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j. Let t be (-5)\/(-10)*1 - 462\/(-4). Suppose 0 = 4*x - t + 112. Suppose -5*a = -10 - 10. Let g(q) = -3*q - 1. What is a*u(b) + x*g(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001977642 to six decimal places.\nAnswer: 0.000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 PM and 4:57 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 11:23 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1940 in -1\/7, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5729351 (base 10) in base 8?\nAnswer: -25666107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -7*m. Suppose -4*z - 2*j - 26 = 0, z - 4*z + j = 17. Let p(w) = 6*w. Let v(q) = z*p(q) - 5*i(q). Let k(x) = 5*x. Determine v(k(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8276*l - 57941. Determine f(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(47*l + 0*l + 9*l).\nAnswer: 224*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1248263891 is divided by 786?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231*c + 247*c - 64 = 0. What is the units digit of (-17578)\/(-85) - c\/(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -93, -188, -283?\n\"Answer: -95*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71 less than -38.7?\nAnswer: -37.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -9. Let c = 14 - o. Solve -2*p = 2*s - 7 - 1, -c = -5*p for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21619.10722 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17976*p**3 - 2*p**2 + 20382*p.\nAnswer: 107856*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3309*m + 1661*m + 1683*m.\nAnswer: 35*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5*77\/(-28644)*20?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + t**2 - t**2 - 3*t**4 + 2*t**4 + 3*t**4 + (-t**3 + 5 - 5)*(2*t - 5*t + t).\nAnswer: 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**5 - 192*y**4 + 3495*y**3 - 26742*y**2 + 88032*y - 94080 = 0 for y.\nAnswer: 2, 7, 8, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (480\/56)\/(6\/28) - 2. Suppose 0 = -d*p + 54*p - 106192. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.8622 to 2 dps.\nAnswer: -6.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*8\/36*-6*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 59 = 4*o, -u - 71465*o = -71462*o + 38 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 - -172. Is l a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -313303, -313588, -313873, -314158?\n\"Answer: -285*r - 313018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*t**4 + 3*t**2 - 11*t**2 + t**4 wrt t.\nAnswer: 264*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 9, -12, -7069\/12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2454173569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*z**2 - 41*z**3 - 63*z**2 - 45*z**2 + 10*z**3.\nAnswer: -31*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129318*-0.06.\nAnswer: 7759.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000216262 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n + 7 - 10*n - 6*n**2 - 7*n + 7*n in the form u + q*n**2 + t*n and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 4*f**2 - 3*f + 1. Let p(q) = q**2 + 3*q - 1. Let t be p(-4). Let k be l(t). Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2 (c) -4 (d) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*i - 179*i + 175*i**2 + 92*i.\nAnswer: 175*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -141 (c) 9016\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 3*c**3\/2 + 29*c. Let p(r) = -2*r. Calculate p(y(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.648787um?\nAnswer: 0.000000009648787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19500.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 21 = 9. Suppose 28*c = 484 - 456. Let m = 8 + -3. Put n, m, c in decreasing order.\nAnswer: m, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**6\/3 - 2*h**5\/5 + 3*h**4 - 4*h**3\/3 - 5*h**2 + 6*h + 139. Solve f(v) = 0 for v.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxb when three letters picked without replacement from {b: 1, r: 2, u: 2, m: 1, x: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 + 2*n + 14. What are the prime factors of i(-8)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 161 by -7.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (-1 - 2 - (18 - 14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neeh when four letters picked without replacement from eeeeeneneeenenheehn.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -1\/4, -1, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-15)\/(-6))\/(6\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-31)\/496*3*(-5)\/(-25)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let b be (1\/v)\/(3\/(-36)). Find the second derivative of -4*w + 6 - 6 - 3*w**b wrt w.\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20069798 is divided by 2818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -123. Let h = 103 - n. Solve h*z - 11 = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 12*v + 3*v)*(3*v - 3*v - 19*v**2).\nAnswer: -323*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a. Let b(p) = -9*p**2 - 7*p**2 + 9*p**2. What is b(i(u))?\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q**1)**47)**(-32))**(-15))**22 assuming q is positive.\nAnswer: q**496320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28.2 in 1\/2, -1\/2, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h**3 - 7*h + 7*h)*(-238*h**2 - 224*h**2 + 657*h**2).\nAnswer: 195*h**5 - 195*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 488 - 256. Let j be ((-9)\/1)\/((-12)\/h). Is -1 - (-3)\/(9\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, a: 7, w: 2, f: 1}. What is prob of sequence cafw?\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1836262647 to the nearest integer?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.8. Suppose -3*w = 2*w - 50. Let i be (2\/w)\/(20\/(-25)). Put i, p, 1 in ascending order.\nAnswer: i, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-12\/7))\/j)\/(j**(-3\/7)*j)*(j*j*j**(-2\/39))**(6\/11))**(-7\/3) assuming j is positive.\nAnswer: j**(-3209\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j. Let z be u(1). Suppose -2*g - 1 + z = 0. Solve -4*o = -16, g = -3*s - 0*s + 5*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20453\/6 - 3416. Find the common denominator of m and -40\/321.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-139*n - 4527 + 4532 + 496*n)*(-3*n + 4*n - 2*n)*(6 - 1 - 3) in the form m*n**2 + r + l*n and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h - 38. Suppose 72 = 10*t - 7*t. Calculate the lowest common multiple of k(-15) and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}