diff --git "a/data/dm_maths/full_data_2/172_11255.jsonl" "b/data/dm_maths/full_data_2/172_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/172_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -z = -c - 4*z - 7, 4*c - 3*z = 17. Find the second derivative of -22*x - 168*x**4 + 51*x + 3*x**2 - c*x**2 wrt x.\nAnswer: -2016*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -727504 and -727340 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14341 or 14417?\nAnswer: 14341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, -72, -358, -948, -1944, -3448, -5562?\n\"Answer: -17*i**3 + i**2 + 32*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-34)*n*n)**(3\/32) assuming n is positive.\nAnswer: n**(-93\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -124*i*q**4 - 112*i*q - 24*q**2 - q + 3 wrt q?\nAnswer: -1488*i*q**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 23*i + 26. Let c(f) = 8*f + 9. Determine -17*c(s) + 6*n(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {b: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3308 (b) 0.1 (c) -0.1 (d) 1 (e) 0.3 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 = -4*u. Suppose 4*o - 41 = -253. Let d = u - o. What is the highest common factor of d and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + (-2*sqrt(1872))**2 - (sqrt(1053) + sqrt(1053) + 3).\nAnswer: -6*sqrt(13) + 7485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*f + 2*f = -317, -2*s + 110 = 4*f. Let j = s - 43. Calculate the least common multiple of j and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2*j**3\/3 + 3*j + 28. Let t be y(-3). Let a be 3*(-1 - 25\/t). Solve -a*b = -6*b + 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 78*n**2 + 2125 + n - 2125 to the form l*n + y*n**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19108*y + 3 = 19113*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5 + 327*v**4 - 3676*v**3 + 14132*v**2 - 21600*v + 10816 = 0.\nAnswer: -338, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 61 - 53 - 9*p + 101. Let t be k(-7). Is t > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(54\/(-104)) - (-211 - -217)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**0))\/(h\/(h*(h*h\/(h**(1\/2)\/h))\/h)))\/(h\/h**(-2\/5))**(6\/5))\/(h**(-1\/2)\/(h**5*h))**17 assuming h is positive.\nAnswer: h**(2758\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-16))\/((-9)\/57)*(-24)\/(-60)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020230 (base 7) to base 11.\nAnswer: -667247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65639.55 nanometers to centimeters.\nAnswer: 0.006563955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23639 and 5833.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -1488 (b) 0 (c) -91 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.18 (b) -0.3 (c) 2\/3 (d) -1 (e) -3\/4 (f) 145\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 5*c**2 - c + 6. Let t(m) = -6*m + 70. Let b be t(11). List the prime factors of s(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 8*b - 16 = -9*b, -4*i + 28 = -3*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/2)\/(-5)*6. Let j(o) = o + 3. What is j(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207722*y = 207739*y - 238 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, m: 3}. What is prob of picking 1 t and 1 m?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -6*n**2 + 0 + 0*n - 2\/3*n**3 - 5\/24*n**4 - 1\/60*n**5. Give s(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182 - -185. Let p be -3*(-6)\/(-10) + g. What is t in p*t + 3\/5 + 3\/5*t**2 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*m + 4*m - 5*m)*(1 + m**3 - 1)*(-8 - 18 - 5) as g*m + a*m**4 + b*m**2 + i*m**3 + k and give a.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**2\/2 + 3. Let p(q) = -q - 1. Let i(w) = -5*m(w) + 4*p(w). Let f be i(7). Solve 11 = f*u - 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 6) in base 2?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.066 - -128.566. Round t to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 16*s**2 - 33*s - 260. Let x be m(-15). Solve x*k - 30 = -5*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -4*t - 48. Let m be (-10)\/(-6) + (-9)\/t. Sort -3, m, -0.3 in increasing order.\nAnswer: -3, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -49c - -32?\nAnswer: -46a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3631, 3547, 3477, 3427, 3403, 3411?\n\"Answer: u**3 + u**2 - 94*u + 3723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/60 - g**4\/2 + 3*g**3 - 7*g**2. Let a be u(-13). Solve 3*y - a*y + 4*j = -26, -4*y = 2*j - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1730 = -52*m - 21*m - 488 + 1386 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 785 = -377. Calculate the remainder when r is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*g + 8430*g**2 - 133 - 7*g + 133 to o + r*g + m*g**2 and give m.\nAnswer: 8430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 5*a**2 + 18*a + 3. What is v(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.53*0.030292.\nAnswer: -0.01605476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -287, 123, 837, 1879, 3273, 5043?\nAnswer: 7213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 5666?\nAnswer: 16998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -233933, -234175, -234419, -234671, -234937, -235223, -235535?\nAnswer: -235879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1122 - 0?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123472?\nAnswer: 2, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.22 in 31\/36, 1, 3\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Let x = 0.4 - 0.1. What is the nearest to 0 in x, g, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 2, r: 2, z: 6}. What is prob of picking 1 z and 1 r?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l\/l**(-1\/2)*l*l)\/l)**44*((l\/((l\/l**(-7))\/l*l*l))\/l)\/(l\/l**(-2)))**21)**(-18) assuming l is positive.\nAnswer: l**(-53676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taaqaqha. Give prob of sequence aa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498155810?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -5*d**4\/24 - 7*d**2 + 2. Let z(k) be the second derivative of 2*k**4\/3 - 8*k. What is u(z(x))?\nAnswer: -40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 321, 415, 539, 693?\n\"Answer: 15*u**2 + 49*u + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1053)*-2 - (sqrt(1053) + 2 + -3 - sqrt(1053))) + -3 + -6*(1 + sqrt(1053)) + -1*(sqrt(1053) + 1*sqrt(1053)))**2.\nAnswer: 2016*sqrt(13) + 206452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/4)\/(657\/(-3504))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 9093.\nAnswer: 18186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 105077.7m?\nAnswer: 105077700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxz when three letters picked without replacement from {p: 1, x: 1, z: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 112238380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -40182.29 and 2556.3022?\nAnswer: 42738.5922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112895 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1356608?\nAnswer: 2, 11, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -e76 (base 15) in base 3?\nAnswer: -11110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 16 = 124. Suppose 2*f + 2653 = h*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -87. Let w = 74 + a. Suppose 2*z - 4*o - 28 = 0, -o = -w*z + 7*z - 15. Solve -4*m + 0 = -5*g + 3, -4*g - z*m = -24 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27860210 divided by 26635?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 5*f**4\/12 - f**3\/2 + 15*f**2\/2 - 50*f. What is the hundreds digit of c(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 2638406 = 1484678. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**18)\/m)\/m**(4\/9) assuming m is positive.\nAnswer: m**(-166\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1477 (base 9) to base 8.\nAnswer: 2143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-1071))\/((50\/(-300)*-3)\/(7\/(-1))).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/4 + 845*q**4\/12 - 415*q**3\/3 - 840*q**2 - 8074*q. Find d, given that b(d) = 0.\nAnswer: -1, 2, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/9)\/(2\/(-6)). Let r = 0 - x. What is the remainder when 47 is divided by (-62)\/r + 2\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-76)\/8 + 4)*(-552)\/1012. Let g(q) = -2*q - 5. Let p be g(-4). Solve -p*j = 2*m - k*m - 10, -5*j + 50 = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 159?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 78895315.5 to the nearest 1000.\nAnswer: 78895000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31063*u**3 - u**2 + 21512*u.\nAnswer: 186378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2\/9 - 461764*v\/9 + 26653248962\/9 = 0. Calculate v.\nAnswer: 115441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 228482 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1472?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -48682 and -1.8?\nAnswer: 87627.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + w**2 - 3*w - 1. Suppose -10*m + 27 = -3. What is the smallest common multiple of m and p(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a - 776 + 139. Suppose -2*p + 71 + 8 = 5*c, 0 = 3*p + 2*c - a. Suppose 0 = -p*y + 30*y - 1797. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 7, m: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 5) to base 12\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(25\/(-1075)*-17)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 986957864 + -68.787?\nAnswer: 986957795.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6 + -8 - 3 - -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003795 rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17904 = 526*d + 966*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14660352 by 404.\nAnswer: -36288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 95.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -1) + (102 - 88) + (-13 - -5).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (11 + -15 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x - 38. Let i(u) = -359332*u - 28 + 359334*u - 21 + 11. Calculate -7*f(o) + 6*i(o).\nAnswer: -2*o + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = 2*r - 5*r, -4*r - 30 = 3*s. Let p be ((-21)\/14)\/(1\/r). Solve -3*w + 4*y - p*y + 20 = 0, -20 = 4*w - 5*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2179*j. Let c(d) = -d**2 + 4*d - 2545. Determine c(v(n)).\nAnswer: -4748041*n**2 + 8716*n - 2545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -270009\/154 + 3507\/2. Find the common denominator of 1\/7 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41832.\nAnswer: 2, 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2))**(-1\/13))**(-1\/15) assuming c is positive.\nAnswer: c**(-2\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 123706*t - 4*t**3 - 61141*t - 59775*t - 2*t**5 + t**5 + t**4 - t**4 + (-t**2 + 0*t**2 - t**2)*(4*t**3 - 3*t**3 + 0*t**3) - 5*t**5 + 5*t**5 - t**5.\nAnswer: -4*t**5 - 4*t**3 + 2790*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55870 or -55869?\nAnswer: -55869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-140))\/((-35)\/(-175)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 2*z + 2 - 1)*(-z + 4*z - 2*z)*(-2*z**2 - 2*z**2 + 0*z**2).\nAnswer: -12*z**4 - 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/244 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b + 13. Let l(w) = 7*w - 12. Let q(c) = 6*l(c) + 5*n(c). Let i(a) = -7*a - 4. Calculate 11*i(r) - 6*q(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2275, -2135, -1961, -1753, -1511?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4 = 4*l, -2*u + l = -3 - 2. Suppose 0 = 12*n - 9*n + u*z + 8, 0 = -4*z - 20. Solve -n*w**2 - 50 + w**2 - 58 - 25*w - 11*w = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-56)*16 - (5 - 1). Factor 1\/4*c**4 + 1\/4 - c**3 - c + 3\/2*c**r.\nAnswer: (c - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/6*(-3)\/(-2). Let i(x) = -5*x + 8 - 3*x + k*x + 7*x**2. List the prime factors of i(-5).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29693 + -29648. Solve 0*u + 15 = -3*u, -m = -5*j + 5*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.22 - 11.22. Let r = j + 11. Is r > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = 4*x - 7, -5*p = -x + 14. Let w be ((-5)\/(-4))\/((-2679)\/(-408)). Let k = w - 4\/47. Is k at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/((-7)\/(252\/8)). Suppose 5*u - 5 = d. Calculate the greatest common factor of 80 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*n*o*v - 163*m**3*o + m**2*n*o*v + 4*m**2*n*o + 2*m**2*o - 2*m*n*v + 19*n*o*v wrt m?\nAnswer: 6*n*o*v - 978*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253002\/8335915 - -18\/5809. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/(-3)*(0 - 6). Calculate the highest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 286 + -288. Let j = -3 + -8. Is j*2\/l - -3 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - (2 - 7))*3\/(-9). Let r(n) = n. Let t be r(3). Sort f, -0.4, t.\nAnswer: -0.4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**5\/20 + 9*r**4\/8 - 13*r**3\/4 + 5*r**2\/2 + 5151. Factor y(p).\nAnswer: p*(p - 1)**2*(p + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 602340297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-1 + -2)*5. Is (-9)\/(-6)*r*(-150)\/(-27) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/4940185 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 27221 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j**2 + 8*j - 49. Let s be z(5). Let r = -306 + s. Calculate the remainder when 47 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -78, -103, -110, -93, -46, 37, 162?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 166 and -32 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**2 + 33755 - 33755)*(3*t + 2*t - 3*t).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1610 is divided by 79?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -981*r + 6 - 21 + 7 + 5 + 862*r as g + b*r and give b.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*z - 15*z + 78*z to the form c*z + o and give c.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3654 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 279.8 times 0.038\nAnswer: 10.6324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497708147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**4*f + 41*a**4 - 15*a*f + f - 2501 wrt a?\nAnswer: 12*a**3*f + 164*a**3 - 15*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 236978454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*g = -1354 + 370, b + 480 = g. Let u = 235 + b. Are -248 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450196?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -108? (a) -0.2 (b) 3 (c) -29 (d) -2\/11 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 2\/29, 7542\/7, 0.3?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 6*q**2 - 3*q - 4. Let s(c) = c**2 - c - 1. Let h(w) = -s(w) - z(w). Determine h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3\/3 - 21*k**2\/2 - 5*k. Suppose 0 = 14*v + 121 + 33. Let a be j(v). What is the second biggest value in 4, -3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/1139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -29 - 19 - -16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -2*o**5\/35 + 218*o**4\/7 - 97628*o**3\/21 + 281220*o**2\/7 - 832050*o\/7 + 9270. Factor d(r).\nAnswer: -2*(r - 215)**2*(r - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 189 = n. Let j = -34 + 36. Suppose j*z + z - n = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.122334 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3753 + 3817 = -45*f + 6445 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49692 and 1767702.\nAnswer: 144951564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*j + 554*j + 3221 + 21005 + 2164 = 0 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13814 is divided by 3453?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.2957576 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:32 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:31 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 101501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -0.0534?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*p + 666 = 0, -p = -3*x - 6*p + 1007. Let f = x - 1327\/4. Does -1 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 26 - 32. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -28. Is (-1)\/4 - (-50)\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 25.61. Let a = -4.1 - c. Let p = 4.71283 + a. What is p rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5864.617 litres in millilitres?\nAnswer: 5864617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122864 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1433579891 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 6*x - 2385. Give i(52).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504.498614 rounded to the nearest ten?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*k + 24, 12*k = 16*k + 8. Let p be 117\/(-195)*(-20)\/h. Suppose p*d**2 + 0*d - 2\/3 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21.6 in 2, 5\/8, 1\/576?\nAnswer: 1\/576","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 23 = -2*i, -76*i + 72*i - 5*u - 39 = -94 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 3 - -4) + -1 - (9 + -7 + 0).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/28 and -107\/108.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 48283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 4*n**2 - 6*n - 1. Let l be p(-5). Suppose -4*y + l = -4*t, -4*y + 12 = 2*t - 4. Solve -w + 1 = y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 447 (base 9) to base 12\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(16\/(-76)) - (-5 + 0). Find the common denominator of 87\/488 and ((4590\/w)\/(-17))\/((-3)\/(-2)).\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, -3, 46, 7, -4, 44 in increasing order.\nAnswer: -4, -3, 7, 44, 46, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*i - 932209 + 932209 - 141*i + 64*i.\nAnswer: -11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20220\/191729 + -2\/10091. Is i greater than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aha when three letters picked without replacement from aaahhaahaahaahaa.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3)*z)**(-24\/5)*z*z**(-8)*z*z*z\/(z\/(z\/z**(-1\/3))) assuming z is positive.\nAnswer: z**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 578156*m**3 - 75526*m - 3 wrt m?\nAnswer: 3468936*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82568.36 centimeters to meters.\nAnswer: 825.6836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1525 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7885*u - 7894*u = -54 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**(-1\/3)))**(-45)*o\/(o\/o**(-1)*o)*o*(o**(-4)\/o)\/o assuming o is positive.\nAnswer: o**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 36\/5*i**2 - 4\/5*i**4 + 0 - 12\/5*i**3 + 108\/5*i = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5865, 5337, 4809, 4281, 3753?\n\"Answer: -528*q + 6393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oiyhjiihjyyyhyjiii. What is prob of picking 1 j and 3 h?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 8. Suppose -3*d + 45 = t*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 7, m: 4, l: 3}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 164.34876 months?\nAnswer: 13.69573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-34 - (-4 - -6)) + -15 + 18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*p = -0*p, 5*y = -4*p + 3. Suppose k = y*s - 3 - 9, -4*s + 8 = -4*k. Let n be (k\/(-3) - -8) + -2. Solve -9 - 16 = -n*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10527 = -2*b + x, -4*b + 2*x = -6*b + 10524. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4646 + -4551. What is the remainder when 861 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**6\/360 + h**5\/120 - h**4\/24 + 3*h**3 + 8. Let y(q) be the third derivative of m(q). Give y(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**3\/2 + 3*y**2\/4 + 18. Let b(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 smaller than -11440\/857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45482828 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -129*d + 1238. What is the least common multiple of 154 and o(9)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 175*x**2 + 205*x + 60 = 0.\nAnswer: -3\/5, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 6*j + 13. Let x be b(-7). Suppose -45 - 537 = -x*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 51131*p**2 + 50994*p**2.\nAnswer: -137*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76) + -1 - (-1 + 0 + sqrt(76) + sqrt(76)))**2.\nAnswer: 4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (-15)\/(-6))*170 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 9:06 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-327925080)\/1813)\/((-2)\/7). What is h rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 5*g - 19. Let u(l) = l + 1. Let k(m) = o(m) + 3*u(m). What is the tens digit of k(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (4 - (1 - (3 + -5)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 7*b**2 - 11*b - 2. Let z be l(-5). Let h(p) = p + 14*p**2 + 0*p**z - 19 - p**3 + 7*p - 12*p. What is the hundreds digit of h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 10648100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3404 and 736?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4615477163\/1534411256 - -2\/4080881. Let c = q + 18\/47. Calculate the common denominator of c and -3\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 11}. What is prob of picking 2 s and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 32, 56*z + 362330 = 58*z - 2*x. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.33444 + 8629.4?\nAnswer: 8531.06556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*t + 5 = 0, -3*t - 2 = -3*p + 10. Solve 12 = b + p*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w + 35. Does 6 divide r(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 2, q: 2}. Give prob of sequence fc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100427.\nAnswer: 29, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kopkokkbkkbhbboobop. Give prob of sequence pph.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29469 and 5334923.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1056245*j**2 - 3 + 1056247*j**2 - 3 + 6.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - -18) + (19 - 17) - 40) + -1 + 4\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 4:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 93*m**3 + 88*m**2 - 5*m + 5. Let f(s) = -2*s**2 + s - 1. Let v(a) = -c(a) - 5*f(a). What is the third derivative of v(u) wrt u?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.63 - 1.03. Which is the smallest value? (a) w (b) 0.3 (c) -1 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (-4)\/2 - -2. Put k, -4, -1 in decreasing order.\nAnswer: -1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 26.683974\nAnswer: -2.6683974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -16.6 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*((n*n**(-15))\/n)\/n))\/n)\/n**(-17)*(n\/(n\/n**(-23)*n))\/(n**(-9)*n) assuming n is positive.\nAnswer: n**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 2*n. Let b be 0 + (-4 - -2) - -6. Suppose -7*v = -8*v + b. Give a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 44. What is the smallest value in 3\/2, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -22*j**2 + 9567*j + 1317. Give h(435).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000030525 to 7 dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = -19*k - 412396*f + 412395*f, 5*k - 2*f + 87 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8825907 divided by 144687.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -241\/3 + 81. Let k(d) be the second derivative of d**4\/12 - 4*d**3\/3 - 4*d**2 - d. Let a be k(9). Which is greater: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/15))**(3\/28)\/((g**(-22)\/g)\/((g\/(g**(-7\/6)\/g))\/g)) assuming g is positive.\nAnswer: g**(10621\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:13 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o*x**4 - 4902*o*x**2 + 37916*o wrt x?\nAnswer: 4*o*x**3 - 9804*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130*s**4 - 30 + 14*s**4 - 62 + 47*s**4 wrt s.\nAnswer: 764*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, h: 2}. What is prob of sequence uuhu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288 + 470 = -26*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2475, 2451, 2433, 2421, 2415?\n\"Answer: 3*n**2 - 33*n + 2505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, -1141, -0.02, 787?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94610204.\nAnswer: 2, 13, 89, 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**3\/3 - 5*j**2\/2 - 7*j + 3. Is 5 a factor of n(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16.4 in -8304, 1\/3, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - t**2 - 2*t - 1. Let o be g(-1). Let k be (-292)\/(-2 - (o + -3)). What is the common denominator of (-2)\/(-4) - k\/36 and 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 5, 70, 715, 4 in decreasing order.\nAnswer: 715, 70, 8, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*m - 367*m + 24 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -6.06 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6}. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 35 + 6 = 2*w, 2*w + 4 = 0. Let c be 2\/8 - 11\/(-4). Put c, y, 4 in descending order.\nAnswer: 4, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484 + 439 = -187*t + 1451 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -6081 (b) 3\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1534 = -30*j + 32*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 44*x + 1545. Let q be f(-35). Let o(g) = g - 1. Let u(s) = s**2 + 6*s - 7. Give q*o(p) - u(p).\nAnswer: -p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3 (b) -1244 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1222, -9\/2, -5, 11?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 34*n + 1. Let t(w) = 69*w - 14. Let a(g) = -4*h(g) + 2*t(g). Calculate a(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1610\/196*(-294)\/70.\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - 3\/(6\/(-4)). Let v = d + 10. Solve f - 6 = k, -k - 2*f = -10 + v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20\/13 - -86\/39. Which is the nearest to 1? (a) -1\/2 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -251*j - 43. Let u = 414 + -416. Let s be x(u). Calculate the greatest common divisor of 27 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 7 = -3*r, -4*r - 2*j = -3*r - 9. Suppose -3*a + 5*n + 22 = 0, -r*a + 7 + 41 = 3*n. What is the remainder when 26 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n*n*n**(-3\/4)*n)\/n*n**12 assuming n is positive.\nAnswer: n**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 16*c**5 + 19*c**5 + 11*c**5 + 0*c**5 + 3*c**5 - 4*c**5 + (-5*c**5 + 2*c**5 + 4*c**5)*(0 - 3 + 2).\nAnswer: 12*c**5 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = -2*o. Solve -o = -5*h - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/100*-5 - 0. Suppose -4*s - 2*b = -16, -3*b + 2*b = -4. Determine h, given that 3\/5*h**s + 3\/5*h - f = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 2*c + 3*c)*(-2 - 1 + 4)*((-3*c + 3*c + c)*(-3 - 1 + 1) - 4 + c + 4 - c - 5*c + 4*c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 15*u = 5962. Let x = u + -362. Calculate the remainder when x is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 7*p + 0*p**2 - 104*p**3 - 60*p**3.\nAnswer: -164*p**3 + 6*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -392 divided by 28?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*l*r - 62271423*d**3*r - 2*d**2*l*r - d**2*r - 5*d**2 - 84*l*r - 1029*l wrt d?\nAnswer: -6*l*r - 373628538*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4 + 0 - 2267*q**2 - 245*q**5 + 8*q**4 - 8*q**4 + 2254*q**2 wrt q.\nAnswer: -14700*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 7*k + 187 - 93 + 7*k - 95. Let w be (-2)\/(-3) - (-28)\/(-6). Calculate d(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 377 + 25. Suppose 14*t + q = 20*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-7 - -8 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/23 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 3216 + 1674. Let i = -169 + r. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (0 - 1) - (-675 - -668) - -17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 - 23*g**2\/4 - 293*g\/2 + 152.\nAnswer: (g - 38)*(g - 1)*(g + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 2*f**7\/35 + f**4\/24 - 10*f**3\/3 - 14*f**2. What is the first derivative of q(s) wrt s?\nAnswer: 48*s**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -324.5 rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/40 - m**3\/2 + m**2 + 2*m. Let n(g) be the first derivative of h(g). Differentiate n(f) wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1612, -4, -3019?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c - 2e?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75238*l**4 + 7*l**3 + 548991*l**2 - 2*l + 9.\nAnswer: -1805712*l + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 12\/199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(18)\/sqrt(3)))\/sqrt(3) + (1*sqrt(612) + -3)**2 + -3.\nAnswer: -35*sqrt(17) + 618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(133) + sqrt(133))\/sqrt(7) + (5*sqrt(171))**2 + -1.\nAnswer: 2*sqrt(19) + 4274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5278 is divided by 230.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 913507 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -45597.9 + -65181178?\nAnswer: -65226775.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 20336*h - 51694112.\nAnswer: -2*(h + 5084)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1566\/73597?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {w: 2, o: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -546 (base 7) in base 13?\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13835 - -108938. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4332, -3946, -3564, -3186, -2812?\n\"Answer: -2*p**2 + 392*p - 4722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggsggssxggxgggssgg. What is prob of sequence xs?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from 0.0413671495.\nAnswer: -2.9586328505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*c - 6*c = -344, x - c = 72. Suppose -3*b + x = -881. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 28 = 4*t, -5*j - 45 = -3242159*t + 3242164*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*d - 245 = -232*d + 477*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -1.2. Which is the third biggest value? (a) -2 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152052 - -62827. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 3*o**2 + 3*o - 5. Let f be n(-4). Let y = 2 - f. Which is the third biggest value? (a) y (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 152 - 151.99999507. Round a to 7 decimal places.\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/3)\/((-2)\/6). Let m(p) = 33*p - 1. Let a be m(1). Let j be a - (4 - (-1 - -1)). Solve j = -4*i + c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eadewoweh. Give prob of sequence ow.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1535599 and 565747?\nAnswer: 10749193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(187)*-2 - sqrt(187)) + sqrt(187))\/(1*sqrt(176)).\nAnswer: -sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 30059778, 2, 3 in increasing order.\nAnswer: 2, 3, 30059778","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1597924*o + 47937722. Give p(30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1209130 and 19550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -897 - -904 - ((0 - 20) + (-1 - 0)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/2))**41)**(-1\/39) assuming y is positive.\nAnswer: y**(-41\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11159018\/7608 - (-3)\/12. Let a = x + -1467. Let i = a + 28552\/10461. Calculate the common denominator of i and -12\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-560)\/(-14000))\/(6\/(-20))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6424447 litres in millilitres?\nAnswer: 642.4447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*v**3 + 10*v - 6*v**3 + 3*v**3 wrt v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3616, -1, 1, 1314, -3, -2 in ascending order.\nAnswer: -3, -2, -1, 1, 1314, 3616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24610 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 = 1. Let c be h\/(-1*(-6)\/(-3)). Calculate the common denominator of -61\/8 and (c + (-356)\/(-16))\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 797.777 - -2.173. Let k = -770 + j. Let i = 30 - k. Round i to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.44 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136620)\/45540)\/((-2)\/(22\/(-1)))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -15. What are the prime factors of (d\/(-2) - -22)\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-4)*o)\/(o*o**(-3\/8)))\/(o**4\/(o\/(o**(7\/3)*o))))\/((o\/(o**(-1)*o*o))**24\/(o**6\/(o\/o**7))) assuming o is positive.\nAnswer: o**(73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5147, 10306, 15465, 20624?\n\"Answer: 5159*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0981766 millennia in centuries?\nAnswer: 0.981766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 326*g - 323*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/1619 + 5039\/294658. Which is the second smallest value? (a) 4 (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 306302092 or 306302091?\nAnswer: 306302092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8234 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 13. Let z be b(-3). Let s(j) = 17*j - 63. Calculate the remainder when 38 is divided by s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -3.3342.\nAnswer: 0.6658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.516 + -0.513844. Round y to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3376*z + 20259. Give x(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -24*(1344\/63)\/32. Let f(q) = -q**3 - 17*q**2 - 16*q + 1. Calculate f(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/27*(-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -13*x - 1. Let o be l(-1). Calculate the highest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -103. Let h be ((-12)\/(-2 - -4))\/(222\/148). Put n, 61, h in increasing order.\nAnswer: h, n, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cchhcctthwsct. Give prob of picking 1 c and 2 h.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 5*x + 2. Let o be h(-4). Suppose 2*m + 8 = 4*i, -2*i = i - 5*m - o. Let d = 0 - 1. Which is the nearest to d? (a) -0.2 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393471 by -14573.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -34. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54312?\nAnswer: 2, 3, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**31)**26*l**(1\/4)*l**(3\/13) assuming l is positive.\nAnswer: l**(41937\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 1674219103 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: Calculate ((-3)\/(-2))\/(1116\/2108*51\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 115*j**2 + 25*j**3 - 167 - 50*j + 167.\nAnswer: 5*j*(j + 5)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 55*z**3 - 1. Let j be k(1). What are the prime factors of j\/4*-6*(-4 - -2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77 - -80. What is the remainder when 25 - (2 - (-6)\/(-2)) is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d**2 - 3*d - 7. Give l(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*m + 5 + 2, -8 = -2*o - 4*m. Solve 8*s = o*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 3*f**2 + f - 2. Let g be l(3). Suppose d - 4 = -g. What is the second derivative of -m - 4*m**d - 2*m**3 + 4*m**3 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 20. Let m = -1.68 + 1.68. What is the second biggest value in h, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - 3.5. What is the smallest value in y, 9, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -46*v**2 + 9*v. Let p(d) = 43*d. What is n(p(q))?\nAnswer: -85054*q**2 + 387*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, p: 1, n: 1, l: 1, w: 1, i: 1}. Give prob of sequence lj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let i be t(-4). Let p(m) = 1. Let d(z) = 4*z + 18. Let l(r) = -d(r) + 12*p(r). List the prime factors of l(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.12 - 6. Let z = 13.92 + -14. Let a = g + z. Which is bigger: a or -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 58*q**2 - 4024*q - 15323. What is z(73)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -340 - -342. Suppose l*c + 3*c = 2*t - 45, -t - 5*c = -15. What is the lowest common multiple of t and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.18, -276, 0.5 in descending order.\nAnswer: 0.5, 0, -0.18, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*(5\/(-1))\/(-10). Solve -x*h + k + 2 = 3*k, 5*k = h - 29 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 50*t**2 - 7737*t + 396900. Give j(52).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 580888987 - 1830?\nAnswer: 580887157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 7. Let o be f(9). Let d be 10\/(-30) + (-1426)\/6. Let m = d - -418. Calculate the highest common factor of o and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + r)*(74*r - 41*r + 3730 - 34*r).\nAnswer: -r**2 + 3730*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + -1 + 10)\/(8\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 7:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -2, -123\/4, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*m**6 - 173*m**2 + 6*m**3 - 2*m**5 + 2*m**5 + 30*m**6 - 12*m**3 wrt m.\nAnswer: 1680*m**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-13\/4)*r))**(-2\/17))**(-1\/2))**(-27) assuming r is positive.\nAnswer: r**(-351\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((0 - -3) + 74 + -68 + -13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 291\/2 (b) 4 (c) 0.4 (d) 40 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 9\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3 + 4*w + 0 + 2 - 3 + 3*w**2. Let u be (2 + 3)*(-2)\/5. What is the units digit of s(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 1, m: 1, w: 1, z: 2, y: 1}. What is prob of sequence yyw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10 - (2431\/255 - 11)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -3931*g**5\/30 + 3977*g**3\/2 + 2*g**2 - 13*g + 35. Differentiate u(v) with respect to v.\nAnswer: -15724*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -5, 12743 in decreasing order.\nAnswer: 12743, 23, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**5 - 4*j**4 + 268*j**2 + 20964*j?\nAnswer: 40*j**3 - 48*j**2 + 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 242699, 242587, 242489, 242411, 242359, 242339?\n\"Answer: x**3 + x**2 - 122*x + 242819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 330.345588 to one decimal place.\nAnswer: 330.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/26? (a) 0.1 (b) 17 (c) -14 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 729.407 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 7*o**2 + 9*o - 6. Let h be z(8). Suppose h*v + 0*v = 8. Suppose f - 2 = -2*r + 1, v*f + 5*r - 15 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.1. Let q = 0.1 + 2.9. Which is the closest to j? (a) 2 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*t**2 + 45*t**2 - 7279 - 77*t**2)*(0*t**2 - 3*t**2 + 5*t**2).\nAnswer: -4*t**4 - 14558*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -71209455?\nAnswer: -71209454.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13341 or 13345?\nAnswer: 13345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -23a18?\nAnswer: 23a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupssxguusuupsupu. Give prob of picking 3 p.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/573463184 and 71\/18.\nAnswer: 5161168656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2937274*-0.04.\nAnswer: -117490.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 2 (c) -22\/25 (d) -2 (e) -0.05 (f) 0.1 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 - -0.1. Let j = -55 + 58. Suppose 0*k - 3*k = -j. What is the biggest value in x, 0.8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10201102 - 20?\nAnswer: -10201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(28)*-6 + ((sqrt(77) + (sqrt(77)*-1 + sqrt(77) - sqrt(77)))\/sqrt(11) - sqrt(7)) + 4 + -4)**2.\nAnswer: -52*sqrt(7) + 1187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let y be m(0). Let c(q) = y*q - 3*q + 4*q + q. Let j(z) be the second derivative of z**3\/6 - 2*z. What is c(j(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 443, 1757, 3937, 6983, 10895?\nAnswer: 15673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(6*sqrt(1368)*-1 - sqrt(1368)))\/(sqrt(288)*-4 + (-4*(sqrt(4)\/sqrt(2) + sqrt(2)) - sqrt(2))).\nAnswer: -14*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, g: 3, y: 2, q: 3, l: 1, a: 1}. What is prob of sequence agw?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from {z: 1, k: 1, a: 1, b: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (237\/(-75))\/(4\/(-5)) and (-3)\/1 - (3976\/272)\/(-7).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzhzzzzzzzhzzzz. What is prob of picking 1 h and 2 z?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2303523 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.136.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**4 - 6*j**3 - 54*j**4 - 173*j + 171*j + 4*j**3 - 5*j**2 - j**2 to the form h*j**3 + f*j**2 + z*j + c + a*j**4 and give a.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 184 + -30157?\nAnswer: -28863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.074 - -10.926. Let w = 23 - 7. Let x = u - w. What is the third smallest value in -0.4, x, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122580 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-6))\/(1 + (-12)\/9). Let k(s) = s**3 - s**2 - 1. Let o(b) = -3*b**3 + 2*b**2 + 2. Suppose -9*a - 10 = -4*a. Determine a*k(q) + z*o(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + y**3 + y**3)*(2*y + 1 - 3*y + 1) + 27*y**4 - 299*y**4 - 1072*y**4.\nAnswer: -1343*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -774*w**2 - 16*w - 23. Let s be q(-2). Let a = -321055\/104 - s. What is the common denominator of -47\/26 and a?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 256 - 1794\/7. What is the third biggest value in 1, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3227, 6469, 9711, 12953, 16195?\n\"Answer: 3242*b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943878.\nAnswer: 2, 971939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -u - v + 1, -1 = -5*u - v. Put u, 5, -4 in decreasing order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x - 2*x. Suppose x = 2*l + o - 8, 3*o + 6 - 22 = -2*l. Suppose -4*q = -4*t + 32, -5*t + l*q + 18 = -13. What is the nearest to 1 in 0.08, -1, t?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4228 - 4232. Let n(l) = -l**2 - 6*l - 4. Let u be n(-6). Which is the nearest to u? (a) 5 (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*s + 22 = 0, -3*v - 3*s + 6 = -6*s. What are the prime factors of (-3 + 15\/10)\/(v\/(-1280))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 189916435 by -241.\nAnswer: -788035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 264 divided by -22932\nAnswer: -22\/1911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9.2, 2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - 45) + -4 + (8 - 1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2820 and -133\/35093208.\nAnswer: 175466040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/((-60)\/1440)*(-10)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2460*r + 11. Is v(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -177*x + 23. Is w(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(27) + sqrt(3) - (sqrt(24) + (sqrt(24) - (sqrt(48)\/sqrt(2) - sqrt(24))) + sqrt(24))\/sqrt(8).\nAnswer: sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3 + z**2 - 5*z - 4*z + 1 + 4*z. Let g be l(5). Let x(n) = -g*n + 2*n**2 + 0*n + n - 3 + 2*n + n**3. Give x(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/30*20\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -124, -201, -276, -349, -420, -489?\n\"Answer: b**2 - 82*b + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96534 - 67363. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 331193713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 329565.\nAnswer: 3, 5, 127, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0) + -2 + 3 + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l**2 + 11*l. Let f(p) = 3*p**2 + 2*p. Let b(s) = 11*f(s) - 2*u(s). Let a(c) = 7*c**2. Calculate b(a(m)).\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/200 + 7*y**5\/100 + 7*y**4\/4 + 52*y**3\/5 + 255*y**2. Factor i(j).\nAnswer: -3*(j - 13)*(j + 2)*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*f - 28*f + 64*f - 3 + f + 3 + (3 - 2 - 2)*(1 - 1 + 2*f) + 2*f + 0*f - 4*f)*(-f**2 + 1 - 1)*(2*f - 6*f + 2*f).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.13 + -10.43. Let v = 191 - 191. What is the closest to -1\/4 in v, 3, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127.0158 - -126.1. Let w = -1.004 - j. Let q = -0.07 - w. Round q to 3 dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9368414639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:43 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.4, 4\/3, 68?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 16*z + 10*z**3 + 718\/11*z**2 - 88 - 38\/11*z**4 + 2\/11*z**5 = 0.\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14*k**2 - 2*k**2 + 22 - 3*k**3 - 22*k - k**3 + 3*k**3. Let v be z(10). Which is the fourth smallest value? (a) 1 (b) -5 (c) v (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39 - (49\/14 + (-2)\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 304, 308, 314, 322?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-364)\/(-26) + 462\/(-35).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrb when three letters picked without replacement from buruububuuubbbrubb?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*(1 + 0) + (17 - (-1500 - 15)) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4}. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3877109 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, -0.71 in decreasing order.\nAnswer: 2\/3, -0.71, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34697184.6 rounded to the nearest one hundred thousand?\nAnswer: -34700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/80 + 4*t**4\/3 - 59*t**2. Let p(w) be the second derivative of k(w). Let x(u) = -11*u**2. What is p(x(o))?\nAnswer: -99*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 + -1 + 2. Suppose -2 = -2*s + l. Solve -3*f - s*u - 18 = 0, 5*f - 3*u + 11 = -0*u for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 1160 = -7*r - 1129, 0 = 5*i + 3*r - 17 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518783629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -961947, -961795, -961643?\n\"Answer: 152*d - 962099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*o**3 + 4)*(3112 + 417 + 1194) to q*o + d*o**2 + j + f*o**3 and give f.\nAnswer: 9446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 - -5.06. Let z = 47 - 45. Which is the nearest to z? (a) q (b) 2\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = -a, -6 = -5*j + 14. Let m = 8 + a. Suppose -m*b + 57 = -b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1\/10, -0.2, 70, 0.24?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 11*r - 40. Suppose -4 = -2*d, -5*d = 4*j - 8*d - 14. What is the remainder when 629 is divided by s(j)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*u**3 + u**2 - 838*u - 206043?\nAnswer: 21*u**2 + 2*u - 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*l + j, 6*l + 0*l = 4*j + 28. Solve -3*v + w + w = 5, -2*v = l*w - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 347705 - s - 347705 - 95*s**2 to k*s + n*s**2 + x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 - 2*n - 10. Let m = 40 + -37. Let w(f) = f**2 + f + 3. Calculate m*c(h) + 10*w(h).\nAnswer: -2*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**2 - 7*a + 10 - 6*a**2 + 0*a**2. Calculate the remainder when 17 is divided by c(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7500924.5 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/2 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -5*p**4\/12 - p**3\/3 + 3*p. Let m be q(-3). What is the tens digit of 13\/m - 196\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6332573, -6332551, -6332527, -6332501, -6332473?\nAnswer: -6332443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -210?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18.472099 and -0.2.\nAnswer: -3.6944198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 9 = 3*t + 28, t = -5*l - 28 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 2 + 67*g + 9 in the form i*g + r and give i.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 19 - 1. Suppose -5*y = 3*s + 22 + 7, 4*y = x*s + 12. What is s rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2396, -9599, -21614, -38441?\n\"Answer: -2406*x**2 + 15*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**8\/672 + z**6\/60 + 19*z**2 + 25. Let p(g) be the second derivative of r(g). What is b in p(b) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3907? (a) 1\/4 (b) -2\/7 (c) -0.01 (d) 4 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1205, -2504, -3911, -5438, -7097, -8900?\n\"Answer: -2*t**3 - 42*t**2 - 1159*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.27585265 to two decimal places.\nAnswer: 12.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1728 and 20629728?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m - 6. Let g be c(2). Solve 3*f - 16 = 2*y, -4 = 4*y + f - g*f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 99?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(-4) - 2\/4. Suppose f = 4*c - 0*c. Find the third derivative of n**2 - n**c - 3*n**5 + n**2 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4890000 to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 931 by -4.\nAnswer: -931\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*5\/(-9))\/(3\/(-9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.2. Let z = -0.1 - t. Let c be -6*(-58)\/(-87) + 6. Sort -0.5, -2, c, z in decreasing order.\nAnswer: c, z, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-15)*2)\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -523807, -1047611, -1571415, -2095219, -2619023, -3142827?\n\"Answer: -523804*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 7972*x - 792960.\nAnswer: -4*(x - 1888)*(x - 105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t**(-2\/19)*t)\/t)\/(t**(1\/3)*t))**39)**(2\/17))**(-2\/69) assuming t is positive.\nAnswer: t**(4264\/22287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(30)\/(4*sqrt(6)*2) - (sqrt(5)*-3 + 1)*-3)**2.\nAnswer: -639*sqrt(5)\/2 + 77343\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -179035, -0.1 in decreasing order.\nAnswer: -0.1, -1, -9, -179035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -11*l + 344. Solve 0*z + 2*z = -5*n + l, n = 3*z - 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 428, 889, 1350, 1811?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3941 is divided by 567.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4549663 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129787279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h + 342 = 65*h. Suppose 0 = -4*n - 2*c + 234, -5*c + 0 = 5. Calculate the remainder when n is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b47 + -1544?\nAnswer: -508b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3 plus -89230075.90408?\nAnswer: -89230085.20408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 78 (b) -5\/3 (c) -0.3 (d) -3 (e) -0.5 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3813 and -3801 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n*n**(-18))\/(n**(-2\/25))**(-10\/3) assuming n is positive.\nAnswer: n**(-244\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45843 is divided by 14678?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 23, -4, 6\/11, -2\/7, 13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:21 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 0*f**3 + 0*f**4 - 1 + 1\/252*f**7 + 0*f**2 + f + 0*f**6 - 1\/120*f**5. Let q(j) be the first derivative of w(j). Factor q(z).\nAnswer: z**3*(z - 1)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 453, 882, 1301, 1704, 2085?\n\"Answer: -q**3 + q**2 + 433*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k**2 - 63*k - 241. What is q(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*8\/(-108) + (-116)\/(-36). Find the third derivative of -44*d + 44*d + d**2 + 45*d**t - 5*d**2 wrt d.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6419 + -6417. Which is bigger: k or 303?\nAnswer: 303","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.4 + -16. Are w and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5297 - -64514.\nAnswer: 69811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7710003 divided by -1\nAnswer: 7710003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 19*t**5\/20 + t**4\/12 - t**3\/6 - t**2\/2 + 7*t. What is i(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**2*s**2 + 18206*b**2*s + 10*b**2 + 4*b - 126434*s**2 wrt b.\nAnswer: -2*s**2 + 36412*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(-6)\/20 + 13\/(-2). Which is the fourth biggest value? (a) -0.5 (b) 5 (c) h (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5724.5*41.8.\nAnswer: -239284.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {q: 2, l: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**3 + 35*a**3 + 6*a**3 + 82*a**3 - 6*a**3.\nAnswer: 140*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/936)\/((-11)\/(-88))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.89934 - -0.10066. Let o be 5\/(-4) + (-2 - -3). Put o, 5, 0.4, k in decreasing order.\nAnswer: 5, k, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 101*m - 20. Let a(d) = d**3 + 51*d - 11. Determine -5*a(r) + 3*i(r).\nAnswer: -2*r**3 + 48*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -13649140602.5 and -1.1.\nAnswer: -13649140603.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(6\/7))**(22\/9))**(-32))**(-48) assuming n is positive.\nAnswer: n**(11264\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 0.3. Let z = 0.3924 + -0.0924. What is the third smallest value in -2\/21, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11637 + -11625. Suppose 3*x - 30 + 6 = 0. What is the lowest common multiple of x and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1707)\/(-30) + ((-21190)\/(-624) - 34 - 68\/(-480))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u - 2. Let z be i(1). Let k(n) = -n**2. Let m(y) = 4 + 5*y**2 + 3*y - 5*y + y - 3*y. Let q(f) = z*k(f) - m(f). Let q(t) = 0. What is t?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/32)\/(123 + -28 - 91).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7780 and 32378804.\nAnswer: 161894020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 369 + -365. What is the smallest value in -2, i, 1\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4587520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56899121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b - -68?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56868777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 = -4*d - 5*f + 4*f, 3*d - 239 = -4*f. Solve -87*x + d*x - 18 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**3 - l**2 - 9*l + 14. Let r be (-2)\/(((-16)\/(-20))\/(-2)). Is g(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13132059?\nAnswer: 3, 19, 230387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 + 5*p**2 - 2*p - 6. Let a be k(2). What is the second derivative of 29*z - 4*z + a*z + 38*z**2 + z wrt z?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 2453*s**3\/6 - 61*s**2 - 8*s + 11. Is w(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (68\/(-6))\/(9\/27). Let u = v - -34. Put 1, -2, u in decreasing order.\nAnswer: 1, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-14 - -17) - -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n**2 + 20*n**2 - 46*n**2)*(5*n + 6 - 6).\nAnswer: -95*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10*-25.2778\nAnswer: -252.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805261, 1610514, 2415767, 3221020?\nAnswer: 4026273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12310336 and 12.\nAnswer: 36931008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -20 (b) 8 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14177565 to the power of 1\/2, to the nearest integer?\nAnswer: 3765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-16))**(-32)*(s\/s**(-14))\/s**(-4) assuming s is positive.\nAnswer: s**531","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43811239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97969824 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -393041, -393035, -393029?\nAnswer: -393023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - v + 12. Let p be (-84963)\/(-1881) - v\/6. Let k = p + -1\/418. Calculate the common denominator of k and 45\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 136 = -4*c, 4*l - 14*c + 13*c = -134. Let g(s) = 12*s + 390. What is g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1548354267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/25, -0.1, -1, -196\/5, 0, -24 in decreasing order.\nAnswer: 2\/25, 0, -0.1, -1, -24, -196\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 4. Let j be k(5). Let v(t) = -3 + 4 + 1 - 3. Let i(q) = -4*q - 12. Let y(s) = j*i(s) + 12*v(s). Let c(m) = 3*m. Give y(c(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 4:14 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 26 + 38 - 89 + 37 - 29*x. Is k(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 928 and 1856.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 3. Suppose 0 = 2*d + 4*w + 6, -2*d = -4*w - 18. Let h = d - 0. Calculate x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8757, 17485, 26211, 34935, 43657?\n\"Answer: -a**2 + 8731*a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 8:59 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*2\/(-28*2\/(-2))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98002789 + 98002765.0000052. Let j = 4 + -28. Let s = j - x. What is s rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506374.3 decades in years?\nAnswer: 5063743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*t**3\/13 + 150*t**2\/13 - 16*t - 72\/13 = 0 for t.\nAnswer: -2\/7, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 + 7 - 42803*u.\nAnswer: -42803*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 397, 481, 581, 703, 853, 1037, 1261?\nAnswer: 1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 12*j**2 - 2 + 2 - 3 as g*j**2 + c*j + b and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379821 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 42, -9 in descending order.\nAnswer: 45, 42, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2047\/5 + -408. Find the common denominator of b and -73\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0552, -0.02, 5?\nAnswer: 0.0552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -13 + 6 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-5 + (-1 + (sqrt(972)*2 - sqrt(972) - sqrt(972)) - sqrt(972))*-3) + 4)*-5)**2.\nAnswer: -189000*sqrt(3) + 5472400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:59 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Suppose -u*w + 3*w = 0. Suppose 0*q = -5*i - 2*q - 4, -4*q = 8. Solve -c + 2*n + 3 = i, w - 1 = 3*c - n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p = 4*s + 26*p, 3*p = -349*s + 345*s + 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4882*x - 25. Is u(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 - 68 = 3*s - 3*b, 0 = s - 5*b + 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2593487\/96 + -27016. Let r = 1033\/60 - 47\/3. Find the common denominator of a and r.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 2)\/3 + 48. Let t = u + 125. Let i be t\/14 - 4\/14. Solve 0 = 4*r - 4*w - i, -2*r + 6 = 3*w - 0*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170, -127, -48, 73, 242, 465?\nAnswer: 748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -9. What are the prime factors of 35\/2 + 4\/c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k**2. Let w(y) = -52*y**2 - y - 4753. Determine w(c(h)).\nAnswer: -11700*h**4 - 15*h**2 - 4753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - h + 16. Let a be f(4). Let x be 1\/(a - (-18)\/4). Solve x*w = 3*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((3*2)\/(41\/(-41))).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -917 or 1.7?\nAnswer: -917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x\/x**8)\/x*x)\/(x**(-1\/3)*x))\/((x*(x*x**(-1\/4)\/x*x)\/x)\/(x*x\/x**(-3))))**(1\/18))**(-47) assuming x is positive.\nAnswer: x**(1927\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 38, 921, 3, -15 in decreasing order.\nAnswer: 921, 38, 3, 2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -963649 (base 13) to base 12.\nAnswer: -1219511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0817 + 0.4183. Let c = -0.1 + 0.3. What is the nearest to 0.1 in c, n, 4\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**2 + l + 5. Let v(b) = b**2 + 3*b + 3. Let y be v(-3). Let p be 6\/(-4) + y\/6. Determine k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8052, 4, -4, -107, 2 in ascending order.\nAnswer: -8052, -107, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25635 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8 + -2 + 1)*14\/21. Sort g, -1, 1, -5.\nAnswer: g, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -2491201.\nAnswer: 31\/2491201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 times 13741.85?\nAnswer: 6115123.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*k + 3*k - 7*k - 21*k in the form v + w*k and give w.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1931092 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4697.2 - 4696.2. Let o = -0.3 - -0.4. Which is the closest to o? (a) -2.4 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16403, -22611, -28819?\nAnswer: -35027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34217026 by -6.\nAnswer: -17108513\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*q**4 + 7137*q**3 + 118*q**2 - 110204025*q wrt q?\nAnswer: -396*q**2 + 42822*q + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 19*x = -5*d + 15, -4*d - 4*x + 44 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -5, -39, 0.\nAnswer: -77, -39, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 1445*b + 10050. Calculate o(7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52430088.\nAnswer: 2, 3, 79, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4*c**2 - 2*c - 3. Let q be l(3). Let t = -268855 - -268870. Solve 5*i + q*i = t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 59*x + 13. Let z(t) = -t**2 + 229. Calculate z(m(k)).\nAnswer: -3481*k**2 - 1534*k + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.0597 - -0.0597. Which is the biggest value? (a) -119 (b) -0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 518 and 1620.\nAnswer: 419580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*p**3 + 188*p**3 - 342*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*v - 244*v - 163*v = 1880149200. Round v to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153766 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -36.2*4\nAnswer: -144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-50)*((-17745)\/(-117))\/91?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3445, -1.546, -8?\nAnswer: 3445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = 5. Put y, -1, 5, -4 in ascending order.\nAnswer: -4, -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2643316, 2643342, 2643386, 2643448, 2643528?\n\"Answer: 9*x**2 - x + 2643308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j - 17*j + 54*j - 19*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9199159.02 rounded to the nearest one thousand?\nAnswer: -9199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 11:59 AM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7694 + 7771. Is h > 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 4*l**3 + 34*l + 23. What is the derivative of v(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 281*c**2*s - c**2 - 13*c*s + c + 7956036*s wrt c.\nAnswer: 562*c*s - 2*c - 13*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1781, 3, -45.\nAnswer: -1781, -45, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 2*i**2 + 57*i - 543. Calculate s(10).\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3898757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087372 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**2 - 896*l + 1 + 327*l + 606*l in the form x*l**2 + d + s*l and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(99) + sqrt(33)\/sqrt(48) + (-4*(sqrt(275) + 0 + 0 - sqrt(275) - sqrt(275)))**2.\nAnswer: -71*sqrt(11)\/4 + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200818?\nAnswer: 2, 31, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 1681*d + 18343. Determine m(-11).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7074494 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87477*v + 48769*v + 38717*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1521 (base 9) to base 11\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -359 - -1358. Let a(y) = -4*y**2 + 2*y - y**3 + 1004 + 0*y - z. What is a(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 - 7*o + 7. Let a(j) = 4*j**2 + 5*j - 5. Let g(s) = 7*a(s) + 5*y(s). Let z(f) be the third derivative of 5*f**4\/24 + 2*f**2. What is g(z(i))?\nAnswer: -50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*k + 251*k - 2310 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {j: 2, h: 2, t: 4, n: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0 + 9*c - 10*c - 9 - 9. Let y(b) = -9. Let s(f) = -2*u(f) + 5*y(f). What is the derivative of s(w) wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 158*v - 1339. Let t be u(-76). What is the greatest common factor of 126 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9846466*-1\nAnswer: -9846466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*n + 31*n + 774*n.\nAnswer: 915*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 199.62 to zero decimal places.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kar when three letters picked without replacement from rrrkkarkrkrrka?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*u + 141 = -40, c + 32 = u. Let j = -33 - c. What is the third derivative of 69*y**4 + 0*y**2 - 11*y**5 - 69*y**4 - 7*y**j wrt y?\nAnswer: -660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s - 27 + 27.\nAnswer: -17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 456743 + 4?\nAnswer: 456747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36 - -54050?\nAnswer: 54014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2938 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/27, -51, -4?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1587343 is divided by 2552.\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3467.7 + -3467.8. Which is the smallest value? (a) 0.2 (b) 4.33 (c) z (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6\/(-15) - (-2976)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74685 and 1288795.\nAnswer: 1915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(384))\/sqrt(8) + 4.\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**3 - j**3 + 2*j**4 + (-9 + 2 - 11)*(15 - 9 - 10)*(-24 + 24 - 4*j**4) to l*j**4 + q + d*j + r*j**2 + s*j**3 and give l.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {h: 5, a: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870.\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515 a factor of 788964645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/84)\/((-19)\/(-836)*33)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 - 62*l**2 + 68*l + 130. Let i be f(-32). Factor 2\/5*g**3 - 2*g**2 - 2\/5*g + i.\nAnswer: 2*(g - 5)*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 41*b - 476. What is y(16)?\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252970.27 rounded to the nearest one hundred?\nAnswer: 253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*n**4 - 38*n**4 + 15*n**4)*(n + n - n - 6*n + 2*n + 3*n + (20 + 132 + 11)*(-3*n - n + 2*n))*(3 - 3 - 2).\nAnswer: -1304*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 65, 10\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12652 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9528.626 milligrams to tonnes.\nAnswer: 0.000009528626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 992606, 992660, 992750, 992882, 993062, 993296, 993590, 993950?\n\"Answer: q**3 + 12*q**2 + 11*q + 992582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1375232 and 7232.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.5 (b) -0.73 (c) 19.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2315159 and 22\/749?\nAnswer: 2315159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332211 + -302123?\nAnswer: 30022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12096 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:28 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11212.15 + -11212. What is the nearest to -2 in i, 4, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1.05. Suppose -9 = -w - 3*g, -12 = w - 6*w - 4*g. Which is bigger: w or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23532 + 23536. Solve n + 5 = a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1266*k**2 + 1159?\nAnswer: 2532*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878573 is divided by 878555?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 458139 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: Let h be (-2)\/4*82 - 0. Let q be -2 + h\/(-11) + -2. Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -567935 - -567938. Let l be 37\/(-5) + 6\/15. Put -6, l, k in ascending order.\nAnswer: l, -6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97895010 to the nearest integer?\nAnswer: 9894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 61. Which is greater: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 0.01, 10, -0.5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + 91. Let r = -138 + -170. Let d = r - -327. Calculate the greatest common factor of w and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2 + 4. Let k(s) = -28*s**2 - 1. Determine f(k(r)).\nAnswer: -2352*r**4 - 168*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 792 and 18936.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/139 in -0.2, -0.1, -0.3, -4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 6 - 17)*(-4*f - 5 + 5)*(-1 + 2 + 2).\nAnswer: -96*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 105*j - 37. Is x(4) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r + 63. What is the remainder when 170 is divided by f(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5 - 82*i**4 - 2354*i**3 + 148960*i**2 + 4783625*i + 31506250 = 0.\nAnswer: -25, -10, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66455997 to the power of 1\/2, to the nearest integer?\nAnswer: 8152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42831*l - 247*l**3 - 21370*l - 21461*l.\nAnswer: -247*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 = 3*d - 3*c, 635*d + c = 634*d - 288. Let y = -135 + -154. Which is bigger: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3402935, -13611728, -30626391, -54446930, -85073351?\n\"Answer: -u**3 - 3402929*u**2 + u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x + 31878 = 461*x - 151*x + 576*x for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5 + 65*h**2 + 20*h**4 - 16*h**2 + 1242650*h**5 - 1242665*h**5 wrt h.\nAnswer: -900*h**2 + 480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let h(i) = i**2 - 2*i + 11. Let b(c) = -c + 6. Let d(k) = 7*b(k) - 4*h(k). Let x(l) = -l**2 - 1. What is f*x(m) - d(m)?\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 4. Let j = t + -2. Put 2, j, 4 in decreasing order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0 + 0)*(-4 + 3 + 3) - 2 - 379*w + 3 - 389*w.\nAnswer: -766*w + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 6*z**2 + 4*z - 8. Let y(u) = -6*u**3 - 17*u**2 + 11*u - 23. Let k(g) = g - 11. Let j be k(5). Give j*y(n) + 17*t(n).\nAnswer: 2*n**3 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 382, 761, 1140, 1519, 1898?\n\"Answer: 379*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/808 and (-1862)\/28*25\/(-770).\nAnswer: 8888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 68?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, -8, -2, 2, 4, -4 in descending order.\nAnswer: 4, 2, -2, -4, -8, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 20 = 3*o, -4*u = -o - o + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1001010 (base 2) to base 3\nAnswer: -2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 47. Let k be t(-25). Let m = k - 0. Factor -11\/2*a + 21\/2*a**2 + 5\/2*a**4 + 1 - 17\/2*a**m.\nAnswer: (a - 1)**3*(5*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - 1) - (15 + -2 + -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2 - 53213*c + 56558.\nAnswer: -2*c - 53213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 25 * -2311\nAnswer: -57775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.17234 seconds in nanoseconds?\nAnswer: 8172340000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {n: 1, t: 1, d: 5, g: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 3*d - 34, 12*d = 2*n + 8*d - 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m - 2 = -r, r = 3*m + 2. Suppose 5*q - 4 - 21 = m. Solve 0*t = t - 1, 0 = 2*i + q*t - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001658307902 rounded to 7 dps?\nAnswer: -0.0001658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -80. Let w be ((-1839)\/(-9))\/((-3)\/i). Suppose -6*t = -w + 103. List the prime factors of t.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-5 - 22) - -25?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2\/107, 3\/4, -4?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13*j - 20*j - 1 + 52*j - 20*j - 2. Suppose 30 = 5*c + 3*v, -c + 4*c + 16 = 5*v. Suppose 5*z + x = -27, 0*x - c = z - x. Calculate r(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 2*r - 5*r - 42, 5*r = -10. Let h(o) = o + 17. What is the remainder when ((-4)\/3)\/(1\/i) is divided by h(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9)*s)\/(s\/(s\/(s\/(s\/(s**(-15)\/s))))))\/(((s**(2\/17)\/s)\/s)\/s**(14\/3)) assuming s is positive.\nAnswer: s**(742\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9584751, -19169366, -28753981, -38338596, -47923211, -57507826?\nAnswer: -67092441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*o - 25 = 0, -33*o + 28*o - 32 = 2*k. Which is the nearest to 2? (a) 1 (b) k (c) -14 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/3 (c) -13 (d) 3605\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187008 to the nearest integer?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -4, -7, -3 in ascending order.\nAnswer: -7, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 40131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3569*p + 60675. What is y(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 + 10 - -84) + -29?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 25*x**7\/42 + 8*x**3 + 9*x. Find the second derivative of l(n) wrt n.\nAnswer: 500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -204 + 252. Let t = 108 + -24. Calculate the greatest common divisor of t and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*p - 2. Suppose 0 = -3*z - 5*r + 39, p*z - 58 = -r - 15. Let f = -10 + 22. What is the greatest common factor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -95, -55, -11, 37, 89?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1619147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51338147617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqttucy. Give prob of sequence qty.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -291996 - -758213. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3000*n - 4959005. What is z(-1653)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -1\/25, -0.13106?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1761, -5, -9\/2, -0.1, -1\/3, 0.022?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -6, 110 in ascending order.\nAnswer: -6, -4, 4, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*i + 62, 2*i + 26 = -f - 2*i. Let z = 15 + f. Suppose -2*g + 2 = 3*p, -z*p - 6 = g - 0*p. Sort g, 0, -1 in decreasing order.\nAnswer: g, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 3*p. Let h(g) be the first derivative of -g**3\/3 + g**2\/2 + g - 22. What is -h(s) + m(s)?\nAnswer: 3*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l - 63 = 0. Let d = l - 43. Let z = 67 + d. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43796 is divided by 212.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 2*r + 6*r)*(r - 1 + 1) - 87*r**2 + 4*r + 21*r**2 - 3*r as j*r**2 + y + k*r and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 5*x**2 - 13*x + 42. Suppose -208*k - 553*k + 3820 = 3*k. Determine h(k).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 69, 94, 129, 174?\n\"Answer: 5*l**2 + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/7 + 316*q\/7 - 1674 = 0. What is q?\nAnswer: -189, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l**3*t**2*v + 47046*l**3*t**2 - 9*l**3*t*v - 117*l**3*t + 2*l**3*v - 2*l**2*v - t*v - 4 wrt t?\nAnswer: 12*l**3*v + 94092*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(3\/7))\/i)**(-1\/72)*i*i**(-1\/27)*i**(-13\/4) assuming i is positive.\nAnswer: i**(-3449\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-138)\/(-4))\/((-3)\/44). Is r\/(-3)*(-6)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6709 + 13441\/2. Calculate the common denominator of z and -131\/2076.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkmmmk. What is prob of sequence mk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 7 = 5. Suppose 49 = 4*p + 5*n, -4*n = -4*p - 5*n + 45. Suppose h - w = p. Solve 4*u = -h + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/1093?\nAnswer: 6\/1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-175)\/(-6))*(-3)\/(-1)*-7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48093*z + 5*z**2 - 48093*z + 26 to the form p + q*z**2 + v*z and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 + 268. Let y = d + -25. Is (15\/12)\/(2\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217\/855 - 3\/95. Factor 0 - q*l**3 + 2\/9*l + 2\/9*l**2 - 2\/9*l**4.\nAnswer: -2*l*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 + 4 - 4 + 29*i**4 + i**2 to y*i**3 + a*i**2 + b*i**4 + x + n*i and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184308.\nAnswer: 2, 19, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -b - 22, 3*u + 6*b - 2*b - 47 = 0. Let q = u + -7. Let x be (6\/(-8))\/(1\/(-8)). Solve q*r + r + x = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**3 + 17*z**2 + 10*z + 7. Let y(t) = -t**3 - 9*t**2 - 5*t - 4. Calculate 6*a(d) + 11*y(d).\nAnswer: d**3 + 3*d**2 + 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-217)\/14 - -17)\/(3\/2662).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o - 87. Let s(y) = -y + 24. Let l(t) = -2*p(t) - 7*s(t). Let a(h) = -8*h. Determine a(l(f)).\nAnswer: 8*f - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/2239324 - 221133003\/541916408. Let n = 4\/121 + v. Find the common denominator of n and (1\/(-8))\/((-3)\/254).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5216011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248 + -172. Calculate the remainder when v is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 2 - 291\/6) + ((-33)\/(-22) - -2).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 171?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81967 is divided by 27300.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*y - 120 = 4*t, -3*y = -2*t - 85. Solve -5*v = -0*v + y, -3*k - 14 = v for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or -186382?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/30 - 29\/(-5). What is the common denominator of (-4265)\/1950 - 1\/((-39)\/i) and 81\/2?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*m - 7, 0 = 2*m + 2*q + 3*q + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39404)\/88659*2\/((-4)\/(-30)).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**3*u*z - s**3*u - 2*s**3*z - 17*s**2*u*z - 3*s*u wrt s?\nAnswer: 12*u*z - 6*u - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b**2 - 8*b - 6. Let h(r) = 10*r**2 + 7*r + 4. Calculate -6*h(c) - 5*u(c).\nAnswer: -5*c**2 - 2*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k**2 - 5*k - 26. Calculate s(5).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-14)*(-7)\/2)\/(-16).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0 - 3, -m + 441 = -4*j. Let i = 187 + j. Let h = 10 - 3. Calculate the highest common factor of h and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -175 - -115. Let a = r + 19. What are the prime factors of (0 - 1 - a) + 1?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139385 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*z**4 - 5881*z**3 - 66723*z**2 + z wrt z.\nAnswer: -336*z - 35286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21052?\nAnswer: 2, 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*((3*sqrt(2448) + -4)*-2)**2.\nAnswer: -3456*sqrt(17) + 264581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 485 = -3*s, 0 = -2*v + 3*s + 218 + 761. Let x = 498 - v. What is the highest common factor of 148 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 30 = -3*n - 13, -5*x = -5*n + 15. Suppose -p - 12 = -n*p. Solve 0 = p*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1300740913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**3 - 3*b**2 - 3*b + 1. Let f(l) = l**2 + l. What is -3*f(v) - u(v)?\nAnswer: 3*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**3 + 122*h**2 - 46*h + 41. Let i(l) = 3*l**3 + 62*l**2 - 24*l + 21. Let d(x) = 5*i(x) - 3*w(x). Calculate d(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44323\/35452 + 2\/8863. Let l = 11 - 8. What is the closest to l in 0.4, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 294\/(-30)*52\/(-91) + (-4 - 2). Which is the closest to -0.1? (a) -126 (b) -0.6 (c) 4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3 = -48, -77*g + 22 = -79*g + 2*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z = -35. What is the third derivative of -3*q**5 - 2*q**2 + z + 5*q**5 - 7 wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12383610923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -6, 1589, 25, 0 in increasing order.\nAnswer: -6, -4, 0, 25, 1589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53263199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 7*y + 7. Let i be z(-5). Let g be i\/(-6) + 2\/6. Suppose -15 = -g*s, -159 = -3*v + 4*s + 168. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*h, -4*c + 4*h + 40 = 0. Suppose -5*d + s + 4 = -25, -2*d + 2*s + c = 0. What is the greatest common factor of d and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 less than -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.46 + 4.54. Let w be (-2)\/(-7) - (-160)\/28. Let d be 1 - 10 - (w - 9). Which is the biggest value? (a) 2\/3 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4065, -4073, -4083, -4095?\n\"Answer: -w**2 - 5*w - 4059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*i - j + 160 = 4*j, -68*i = -69*i + 4*j - 29 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 568002 and 19728.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 + 45163786*a = 0.\nAnswer: 0, 45163786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221022022201 (base 3) in base 9?\nAnswer: -2838281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 40\/(-15))\/((-6)\/27). Let j(v) = -v**2 - 3*v - 6. Let q(s) = -s - 1. Let g(m) = j(m) - 2*q(m). Determine g(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*3*2. Let f = h - -13\/4. Which is smaller: -0.1 or f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f + 12*f - 9*f)*((-f - 6*f + 3 + 5*f)*(-17 - 3 - 17) + 2*f + 3 + 3*f - 3*f) to r*f**2 + m*f + d and give m.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.48 + -0.12. Let w = -0.5 + 0.1. Let p = v - w. What is the closest to -1 in p, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 9. Suppose 3*r - 21 = -3*c, 10 = 2*c + 2*c - h*r. Let w(o) = 8*o - 3. What is the remainder when w(c) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6200 (base 7) to base 15.\nAnswer: -98b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**2 + 46*s**2 - 849*s**3 + 4*s - 10*s**2 - 1003*s**3 + 15*s wrt s.\nAnswer: -11112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.5 + -10. Let c = j + 2. Let i = 839 - 5874\/7. What is the closest to 2 in 4\/5, c, i?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108249 at least as big as 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1313 and 0.15243.\nAnswer: -1312.84757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18773426?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and 3610032\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 5*k + 4*k)*(-767*k + 767*k - 118*k**3)*(-4 + 6 - 1 - 2*k).\nAnswer: 1180*k**5 - 590*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/7718067 and -41\/2205162?\nAnswer: 15436134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2239546516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 12. Suppose v + 3*v = 0, 3*p = i*v + 9. What is the smallest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6759, 6752, 6739, 6720?\nAnswer: 6695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**2 - 4*q - 3. Let i = -28 + 20. Let o = i - -6. Is v(o) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*r + 211*r + 1496 = -742 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25584\/714220)\/(3 + 48\/(-20)).\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 5 = -18. Let u be (-105)\/(-35) + (z - -2)*-1. Sort -5, u, 1.\nAnswer: -5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.1 (b) 18 (c) 5 (d) 5\/3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8535\/2864 + -30\/179. Let u(l) = -2*l**2 + 2. Let k be u(4). Calculate the common denominator of a and (-3)\/(-2)*99\/k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-180)\/20)\/(-9))\/(2\/(-4)*15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 8. Let l be ((-1)\/2)\/((-1)\/4). Suppose 4*u - k*s + 12 = 0, -u + 3*u = -l*s + 14. Solve -7 = -3*a + u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1072 - 2145\/2. Let o be (-2 - (-5)\/2)*-24. Let m be -2 - (o\/2 + -1). Which is the nearest to v? (a) m (b) -0.7 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + -5 + (-294 - -301) - 87?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2312 and 69292?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18418634 divided by -54493.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*4\/(-20))\/((-42)\/140)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -6 - -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 734434 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83543\/18 - 4648. Let a be -5*320\/(-25)*-14. Find the common denominator of k and (-11376)\/a - 4\/7.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**6 + 344*s**5 - 5*s**3 + 31*s**2 - 2*s - 5 wrt s?\nAnswer: -120*s**3 + 20640*s**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3591307 + 3591285.699806. Let u = -20.72 - 0.58. Let v = m - u. Round v to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**5\/20 + 5*z**4\/6 + 11*z**3\/6 - 2*z**2 + 38*z. What are the prime factors of k(6)?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2*b - 15. Determine y(9).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2 - (-1 + 1). Let g be 2772\/24 - -2 - 2\/16*-4. Calculate the greatest common divisor of i and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1633*v + 1122*v - 820*v + 2018*v to z*v + q and give z.\nAnswer: 3953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1, 4, 21, 50, 91, 144, 209?\n\"Answer: 6*s**2 - 13*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (4 - -8)\/3. Let x be 4 + (57\/(-4))\/c. Let m = 3 - 2.9. What is the nearest to m in x, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a967b (base 14) to base 6.\nAnswer: 225252141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1710 + 265. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355852 - 15749. Let r = 340104.140122 - w. Let l = r + -1.14. Round l to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 + q**4\/12 - q**3\/6 + 7*q**2. Find k such that a(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5))\/((o**0*o)\/o)*o**(-2\/19)*(o\/(o**(3\/7)*o))\/o assuming o is positive.\nAnswer: o**(594\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52311 (base 6) to base 9\nAnswer: 10567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.4 (b) 0.05 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-28)\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-2)*l\/(l**(-4\/7)*l))\/(l**5\/(l*l**(-3)))*(l**(-13)\/(l\/(l**(9\/5)\/l)*l))**(1\/25) assuming l is positive.\nAnswer: l**(-2622\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n**2 - 1. Let c be p(-1). Put -1, c, 5 in descending order.\nAnswer: 5, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = d - 3*d. Let f = 5 + d. Solve 0*r - 6 = f*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 22*f)*(2 + 3 - 4) - 5*f + 5*f - f + (f + f - f)*(14 + 17 - 12).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 1281*s - 5007. Determine j(4).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -705*b**3 + 19*b**2 - 12. Let x(m) = -m**3 - 3. Let k(n) = p(n) - 4*x(n). Find the third derivative of k(a) wrt a.\nAnswer: -4206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101100000000 + 1000?\nAnswer: -11101011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3481698 + -0.3.\nAnswer: 3481697.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -9*y - 7. Calculate the remainder when u(-6) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 4*a = -1, 2*i + 3*a - 5*a = 0. Let m = -0.3 - -0.3. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -2.81113.\nAnswer: -3.01113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -3, 0, -5 in decreasing order.\nAnswer: 0, -3, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 15a73?\nAnswer: 15a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 179571 = 119049. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13644)\/3790)\/((-2)\/10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 900466 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339232069?\nAnswer: 11, 467, 66037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (291 - 193) + -42 - (0 + 0).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713295731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -0.4509582.\nAnswer: 4.4509582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.637 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3401, -6815, -10229, -13643, -17057, -20471?\nAnswer: -23885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 3. Let w(c) = c + 15. Let s be w(r). Let l(h) = 25 - 13 + s*h**2 - 12. Let q(b) = 14*b**2. What is l(q(k))?\nAnswer: 392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpitbyt. Give prob of sequence pti.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 + 530*s**3 + 1120*s**2 - 4320*s.\nAnswer: -5*s*(s - 108)*(s - 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1298*g**2 + 5*g - 3. Suppose 0 = -3*f + 2*b - 43, 5*f + 4*b - 16 = -51. Let r be y(f). What is r rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13695 and 440?\nAnswer: 109560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 1 + 756*p - 760*p + 6 - 1. Let k be z(0). What is the nearest to -2\/5 in 0.5, k, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*m = 189, -2*a + 5*m + 124 = 26. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/1326741 or -1?\nAnswer: 20\/1326741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 250*b - 413*b + 206*b to i*b + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 614562 - 80\/(-48)*(-6)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8335 (base 12) to base 7.\nAnswer: -56453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*w**3 - 2*p**3*w - 44*p**2*t*x - 3*p**2*w**2*x + 8*p*t*w**3*x - 3*t*w**2 + 2*t*w*x - 314*w**5 + 2*x wrt w.\nAnswer: 6*p**3 + 48*p*t*x - 18840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) - 34\/(-10). Let h be (i\/6)\/((-2)\/(-28)). Let j be 12\/h + (-2)\/(-7). Calculate the highest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1382 - 133*x + 1382 to a*x + w and give a.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*(-276)\/230?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j**3 - 6*j**2 - j. Let z(y) = 2*y**3 + y**2 - 2*y. Give -w(l) - 5*z(l).\nAnswer: 2*l**3 + l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 1 + 1 + (7*b - 4*b + 3*b)*(3 + 2 - 4) as p*b + a and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/716 and 75\/16.\nAnswer: 2864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + -3 - (-19 + 0 + 25)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdddddrjdjrdjdrjdrd. Give prob of sequence jdrj.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 357\/14 + 2\/(-4). Let i = -76\/3 + w. What is the nearest to i in -2, 0.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 - (-266)\/5)*4\/40?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1704 and 11856.\nAnswer: 841776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 10*o**2 + 11*o + 12. Let v = 243 - 256. What are the prime factors of u(v)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w - 6*w + 30*w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 - 2186?\nAnswer: -2186.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 13*v = -4. Suppose 6*z - 7*z + 2*b + 4 = 0, 0 = v*z - b + 7. Let d = 3 - 1. Sort 0, -5, d, z.\nAnswer: z, -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 6*w + 3*w + 18, 2*h + 3*w = 30. Sort 4, 5, h in decreasing order.\nAnswer: h, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186.795*-2\nAnswer: -373.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-5 + -9 + (16 - 42)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3009?\nAnswer: 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*s = 2292, 2*d + 0*d - 4*s - 920 = 0. Suppose 0 = -3*b - 5*r + d, b - 304 = -b - 3*r. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (118 + -109 + 6 + -94)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3143 + 6884. What are the prime factors of m?\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2 + 4 = 2*z, 2*o = -4*z + 6. Round z to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1689 - -1776. Let n = -24 - 100. Let r = d - n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74336 = -4*n - 2*k, 3*k = -53*n + 50*n + 55755. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2819.8 + 2820. What is the closest to -1\/4 in 0.3, -1.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s + 9. Determine b(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 10 - 50. Suppose -3*s - 2*s = -o. Suppose 7 + 9 = s*v, -12 = -2*h + 5*v. What is the remainder when 62 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(27\/5)*(h*h*h\/h**(-2\/7)*h)\/h)\/(h**(-2\/11)\/h**24))**(-23) assuming h is positive.\nAnswer: h**(-291042\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {q: 2, u: 17}?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*i + 37, 0*h - 1 = -h. Solve 5*w = 4 + i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4894 is divided by 3876.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 655072 to the power of 1\/2, to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 + 3*k**2 - 6*k = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 2*b + b)*(6*b**3 - 6*b + 3*b**3 - 10*b**3) - 2*b + 2*b + 2*b**4.\nAnswer: 4*b**4 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*o - 312818 = -314934 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 20*k - 5. Let n(w) = w**3 - 30*w**2 - 32*w + 34. Let v be n(31). Suppose 41*p - 38*p = -2*r - 26, v*r - 46 = 4*p. What is x(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 5525\/3966 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33 + 9 + 25 - (-4 - -1 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.53 - 3.3952. Let g = 10.8752 + k. Round g to 0 dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2429031*f**2 + 4056720.\nAnswer: -4858062*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -17. Let r = 98 + -70. Let o = r - a. Solve -5*k - 10 - o = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201865871 and 391.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*g - 2*g - 7*g + 14*g - 2*g**2 in the form x*g + h*g**2 + d and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -1276.73747?\nAnswer: -1276.33747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 7:26 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22048 - -39099. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 0*l + 0*l)*((2 - 3 - 5)*(-2*l**2 + l - l) - 27*l**2 - 9*l**2 - 40*l**2) to b*l**2 + h + q*l + o*l**3 and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454, -907, -1360?\nAnswer: -1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -45, -16, 13, 42?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(0 + sqrt(2205)))**2 + ((sqrt(15) - 2*sqrt(1500))\/(sqrt(36)\/(sqrt(12)*1 - sqrt(12) - sqrt(12))))**2.\nAnswer: 37081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 509034 and 4257?\nAnswer: 16798122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*l - 41*l = 50*l + 92. Calculate the remainder when 1330 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 8, 5 in decreasing order.\nAnswer: 8, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 553.1368 years?\nAnswer: 5.531368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -19*g**4\/12 - 8*g**3\/3 + 2*g**2 + 51*g. What is the second derivative of v(i) wrt i?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/644)\/(222\/777)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-84)*7)\/(7\/((-210)\/(-235)))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 0*v + 1. What are the prime factors of 11 + (0 + 0)\/v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let p(j) = -1381*j - 3. Let g(w) = -1402*w - 4. Let z(k) = 3*g(k) - 4*p(k). Determine b(z(c)).\nAnswer: -1737124*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 230*h + 85*h - 18*h.\nAnswer: 295*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c - 93489?\nAnswer: -9347a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -69*y**3 + y + y - 2*y**2 - 2 - 168*y**3 + 1. Let d be p(1). Find the common denominator of 24\/(-8) + d\/(-20) and 17\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 176685109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -1\/3*d**6 + 0*d + 0*d**4 - 3*d**3 - 15 + 0*d**5 + 0*d**2. What is the third derivative of t(n) wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -3, 1\/277, 0.1, 0.032, -1?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*o**3*t*v**2 + 2*o**3*t*v + 310*o**3*v**2 + 12*o**2*v - o**2 - o*v + 3*t*v wrt v.\nAnswer: 32*o**3*t + 620*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -459428*-46.\nAnswer: 21133688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5935 is divided by 738?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 457 = t, 0 = -5*o - 4*t + 739. Let z = 526 + o. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -107819 and -2936.\nAnswer: -110755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one fifths of a century?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 - -113. Suppose 16*m + 52 = r*m. Let l(c) = -c**2 - 2*c - 5. Calculate l(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570959869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a6 (base 12) in base 7?\nAnswer: 5553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 145*k**4\/12 - 24*k**3 - 143*k + 139. Let q(i) be the first derivative of s(i). Find the second derivative of q(m) wrt m.\nAnswer: 290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4\/4 - 17*s**3\/4 + 17*s**2\/2 - 7*s + 2 = 0. What is s?\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*37*386\/(-35705)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 16.28, 29, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -943, -3, -11, -102, 4 in ascending order.\nAnswer: -943, -102, -11, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12657 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-90365)\/132 - (-6)\/(-8) - 45\/(-135). Does -687 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddt when three letters picked without replacement from daatd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 10*b**2 - 8*b + 1. Let w = 22 - -9. What is the remainder when d(-6) is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 980 and 20.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10665815, -21331631, -31997447, -42663263, -53329079, -63994895?\n\"Answer: -10665816*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + -41780456?\nAnswer: -41780449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129\/3354 + (-36191)\/(-26) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 582 - 279. Suppose 5*i = -t + o, 5*t = -5*i - 660 + 2215. List the prime factors of t.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-4))\/((14\/(-7))\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -269852, -269879, -269930, -270011, -270128?\n\"Answer: -h**3 - 6*h**2 - 2*h - 269843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275 = 42*h + 938 + 639 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 127 and 58841?\nAnswer: 7472807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 14*b**2 - 27*b - 88. Let d be t(-8). Solve 5*v = q - 16, d = -2*v + v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340026 (base 7) in base 13?\nAnswer: a4579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -218, -439, -656, -869, -1078, -1283?\n\"Answer: 2*i**2 - 227*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3549 (base 10) in base 14?\nAnswer: -1417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 549 + -549. Sort 1, y, 16, 2.\nAnswer: y, 1, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11386 is divided by 140?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of 49*d**8\/16 - 2797*d**5\/60 - 13*d**2 + 12*d - 4. What is the third derivative of o(u) wrt u?\nAnswer: 61740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2775*s**2 + 285*s?\nAnswer: -5550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 r when three letters picked without replacement from {f: 2, l: 1, r: 7, c: 2, u: 3, v: 3}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000000759 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 18, 1.2, 0.5, -5094 in decreasing order.\nAnswer: 18, 1.2, 0.5, -4, -5094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/331 (b) -4 (c) 1 (d) -0.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -3\/329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63752068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2) + (3 - 5). Suppose -2650*m - 147 = -2669*m + 176. Calculate the greatest common factor of n and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 8) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from {t: 1, r: 2, b: 1, a: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81124407.\nAnswer: 3, 7, 13, 99053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28741903 + 77614.\nAnswer: 28819517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.044 times 7.7\nAnswer: 0.3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) -11\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2590)\/(-555))\/(22\/(-99)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:23 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.14 + -0.06. Let p = 0.104 + 0.096. Let k = -2.6 + 2.5. Sort -3, n, k, p in decreasing order.\nAnswer: p, k, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 2*y**5\/15 + 2*y**3 - 9*y**2. Find the first derivative of i(r) wrt r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(121)\/(sqrt(11) + (sqrt(11) - (sqrt(33)\/sqrt(3)*-5 - sqrt(11)))).\nAnswer: -3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 7\/3)*-18. Suppose v*m - 7*m = -10. Let k be 1*-2 - (-3 + -1). Put m, k, -4 in descending order.\nAnswer: k, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22408 bigger than 22399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.54*-3\nAnswer: 4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 741, 3, -3, -1 in increasing order.\nAnswer: -3, -2, -1, 3, 741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 133, 116, 95, 76, 65, 68?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7.4. What is the nearest to 0 in b, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m**2 + 9*m - 2. Let i(s) = s**2 + 10*s + 67. Let p be i(0). Suppose 6*c = -p + 25. Let d(k) = 4*k**2 - 4*k + 1. Give c*d(z) - 3*g(z).\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 244377720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13501*b - 417 = -13362*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/181050 and 41\/23540.\nAnswer: 426191700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*b**4 - 2*b**3 - 107*b**2.\nAnswer: 1704*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 13 - 12, 3*p - z = 82. Suppose 2*i = -p - 115. Let h be 114\/i + 2\/8. Which is the second biggest value? (a) h (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9627699560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31301.86 meters to micrometers.\nAnswer: 31301860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.009529km in millimeters?\nAnswer: 9009529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 2*f**2 + 0 + 2 - 4. Let c(h) = h - 5*h - 5*h - 8*h**2 - 9. Suppose -499*s + 356 = 896 + 458. Give s*c(w) + 9*l(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 + 60. Suppose 7 = d*g - 5*m, 5*m - 3*m = 4*g - 14. Suppose g*q = 408 + 116. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 11) to base 9\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - 79 - -18 - (374\/(-38))\/(-1).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.361\nAnswer: 0.0722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 19 - 19. Suppose -666 = -2*t + 5*u - 78, -3*t - 3*u + 861 = p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*c = -99*c + 2, 15*z = 18*z + 5*c - 2*c + 81 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 152, 4, -2\/15, 59?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from pevzveuuueeceuu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkkkggzlzglglmk. Give prob of picking 1 z and 2 l.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 138 + 64 + 35 = 0 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1057631 < -1057639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 1, u: 1, x: 1, y: 1, j: 2}. Give prob of sequence bubx.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 5:34 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77820762 and 9?\nAnswer: 233462286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-14))\/(21\/((-441)\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91118676?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 17, 40, 71, 110, 157?\n\"Answer: 4*s**2 + 11*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 11, 98, 293, 638?\nAnswer: 1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6364030.\nAnswer: 2, 5, 636403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11492447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*(w\/w**(-2\/11))\/w))\/w)\/(w**4\/w)*((w*w**(-2))\/w)**(-1\/22))**(-2\/5) assuming w is positive.\nAnswer: w**(18\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3844 divided by -2\nAnswer: -1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3242*m**3 + 65*m**2 - 1360*m + 1407*m + 8821*m**3 - 1596*m**3 wrt m?\nAnswer: 62802","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-2)*(-12)\/(-10). Let n be 4\/(8\/(-38))*1. Let h = y - n. Solve f + f + h = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 8:23 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2780 - 1633. Let h = -372 + 785. Suppose -3*t - h - s = 0. Round t to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32135081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - k + 4*k - 2*k)*(149 + 158 - 80).\nAnswer: 227*k - 2270","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + 6*(sqrt(5)*-3 + sqrt(5))**2.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366101148.\nAnswer: 2, 3, 7, 622621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*j**2 - 85*j**2 + 28*j**2 + (-82 + 82 + 25*j + (2*j + 0 + 0)*(1 + 0 - 2) - j + 2 - 2)*(0*j - 5*j + 3*j) to the form d*j**2 + f*j + w and give d.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p + p + 6*p. Suppose -5*z + 4*z = -2. Let o(k) = 6*k**2 - 12*k**z + k - k. Give f(o(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8942*q**2 + 491808*q - 106. Calculate b(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 2*u = -17, -28*u = 4*v - 31*u + 15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 5. Let w be -10*3\/(-6)*1. Let v be y(w). Suppose 10*g = 14*g. Solve -3*n + v = -g*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.053155 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -38, -2, -57.\nAnswer: -57, -38, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 56*w**3 + 2*w**2 + 3*w - 6. What is the units digit of d(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103909331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12701971343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24405 and 630.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 23982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = -3*i, 5*i - 38 + 12 = -4*s. Calculate the remainder when 8 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38082)\/8655*(-10)\/682.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 - 16*b**3 - 248*b**2 - 624*b - 396 = 0. Calculate b.\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 59\/3 - 2\/(-6). What is the greatest common factor of 8 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2 + 116*x - 27930. Give q(-72).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5939, -5940, -5941, -5942, -5943?\n\"Answer: -y - 5938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-48))\/((-84)\/96)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from fhffb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.21 (b) -4\/5 (c) 0.2 (d) -2.6 (e) -2\/745 (f) -4 (g) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 4\/7, 325?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence shh when three letters picked without replacement from {i: 3, n: 1, x: 2, h: 6, c: 1, s: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140609062.\nAnswer: 2, 11, 6391321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 794, -0.2, 52\/11 in increasing order.\nAnswer: -0.2, 52\/11, 794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (6570\/33)\/5 + 60\/330 and 220.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -65. Solve a + 3*y = -q*y + 2, -5*a - 9 = -4*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4497*v - 14 = p - 4501*v, -5*p = -4*v + 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3545 and 485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*r - 107 + 227 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -218607.78 rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:33 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(-5*m + 3*m + 4*m) - 10*m - 10*m + 3*m + (1 - 1 + 1)*(-4*m + 2*m + m) + 2*m - m - 3*m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoxe when four letters picked without replacement from {e: 4, x: 2, o: 5}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -a - 3. Suppose a*r = 7*r + 125. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -40*m**2 - m. Let h be 9\/12 + (-2)\/(-8). Let j be p(h). Let b = j - -61. What is the lowest common multiple of b and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*w**5)*(-268 - 640 - 514 + 301).\nAnswer: -2242*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8461 is divided by 766?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/3 + 1180*x\/3 - 348100\/3.\nAnswer: -(x - 590)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k + 0*k**3 - 3946*k**2 + 2*k**3 - 3952*k**2 + 7898*k**2.\nAnswer: 2*k**3 + 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153242 is divided by 2946?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 29*u - 26. Let g be s(-25). Let y = g + 224. Let d = y + -2. Calculate the highest common factor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62474 + 58012 = 46*w for w.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1 - 24\/5). Let f be 7\/(-2)*176\/(-154). Suppose f*n - 185 = -173. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14.5 - -15. Let a = -1.8 + -2.2. What is the third smallest value in 5, l, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 8*c - 12.\nAnswer: 4*(c - 3)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*l*o*t**2 - 2*l*o*t - 29*l*t**2 - 4*o*t**2 - 2344*t**2 wrt l?\nAnswer: 133*o*t**2 - 2*o*t - 29*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z**2 - 19\/4*z**4 + 15*z + 0*z**3 - 7. What is the derivative of a(g) wrt g?\nAnswer: -57*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -15*n**2 - n. Let v be r(-1). Let k be (-7)\/(v\/4)*293. Suppose k = i + i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1620 and -67\/180.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33159*f**2 - 66315*f - 6.\nAnswer: 3*(f - 2)*(11053*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -2, -41, -4 in increasing order.\nAnswer: -41, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 11 = j, -3*x - 5*j = -2 + 27. Let f(m) = -2*m**2 - 17*m - 11. What is the remainder when (-4)\/x - 746\/(-10) is divided by f(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 62592618 + 2?\nAnswer: 6259261a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 1\/2 (b) -1\/3 (c) 1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1322 is divided by 188.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 78*d**2 + 144*d - 603. What is a(-76)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/(112\/13503)*(-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = -k, -10 = l + 5*k. Let y be (-9)\/(-18) + 105\/18 + 385\/(-165). Solve y*t = 3*t - l for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, -1, -2\/19, -2\/10171?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 23*j**2. Let s(v) = 21*v**2 - 6. Let q(x) = -22*x**2 + 5. Let p(w) = 6*q(w) + 5*s(w). Determine p(k(r)).\nAnswer: -14283*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205 - 180. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 42 = 3*o, -24*x = -27*x - o - 84. Suppose -212 = -3*w - 4*u, -2*w + 0*w = -5*u - 103. Let l = x + w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1471 + 1?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 13*u**2 + 138. Let k be y(-12). Let b(n) = n + 1. Let t(l) = 2*l**2 + 8*l + 6. Determine k*b(o) + t(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 + 2*q**2 + 3*q + 2. Let n be d(-3). Suppose -5*r + y = -29, 168 - 133 = 2*r - 3*y. Sort r, n, -3 in decreasing order.\nAnswer: r, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 - -211. What is the smallest common multiple of n and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.5 in 2\/39, -0.3, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.08 + -0.08. Let h = 9.32 + -13.32. Which is the second biggest value? (a) -2\/11 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/10 or -3\/61?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 44.6+-0.29\nAnswer: 44.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(48)\/(-2*sqrt(8)))\/(sqrt(15)\/sqrt(5)*-6).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7791 is divided by 113.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 729 in descending order.\nAnswer: 729, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 194180 and 657.\nAnswer: 1747620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6aa41 + -3?\nAnswer: 6aa39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:22 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -12. Suppose 0*d - 4*d + u = -5, 0 = 4*u + 20. Calculate the remainder when y is divided by 1 - d - (7 + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:08 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -17691518.8702.\nAnswer: -17691519.0702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/8 + 2\/(-8). Suppose 15 = 3*y - r*v - 9, -24 = -3*y + 3*v. Let q = 32 + -18. What is the smallest common multiple of y and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*v - 80*v - 368 = -79*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13086765 is divided by 17449.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -20*p + 77. Let t be p*(4 + (-222)\/54). Sort -5, t, 0.31 in ascending order.\nAnswer: -5, t, 0.31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2806914 and 1467?\nAnswer: 1372580946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -16920.\nAnswer: -1\/940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/77620 and 41\/63299110?\nAnswer: 126598220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*i + 6, 0*h = 2*h - 4*i + 12. Is 9 a factor of h + 24\/14 + 2750\/70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40875044689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11 - -291)*(-6)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**3 - 2*q**2 - 44*q + 9. Is y(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/(-14)*(13 + 1). Let l(z) = 18*z - 27*z + i*z. Let f(s) = -3*s. What is l(f(m))?\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*l + 39*l + 51*l)*(4 + 5 - 6 + (1 + 2 - 4)*(2 - 2 - 1)).\nAnswer: 440*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + 3 + 4 + 1*sqrt(363))**2.\nAnswer: 132*sqrt(3) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*m + 1070 + 1123, -m - 2181 = -k. Which is smaller: k or 2176?\nAnswer: 2176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/5)\/u**(-1\/2)*u**(2\/27)\/(u*u\/(u*u**(-9))))**22)**(-4\/33) assuming u is positive.\nAnswer: u**(9964\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1959\/(-1306)*((-69)\/4)\/((-18)\/80)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 (base 15) in base 7?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 54, 80, 108, 138, 170, 204?\n\"Answer: y**2 + 21*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 743614 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 149?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(196))\/sqrt(4))\/(sqrt(168)\/sqrt(6)) + -4*(sqrt(700) + 2 + sqrt(700) + -2 + 5).\nAnswer: -81*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12955*f**3 + 2*f - 1813 wrt f?\nAnswer: 77730*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a kilometer in meters?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 497*b*p**3 - 2*b*p**2 + b*p + 19965*p**2 + 12821313*p wrt p.\nAnswer: 2982*b*p - 4*b + 39930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9792.53 times -1092?\nAnswer: -10693442.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 233374.3cm in kilometers?\nAnswer: 2.333743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 + 6*b**2 - 653*b.\nAnswer: -6*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 61*h**5\/5 - 3*h**2 + 330*h. Let a(o) = 4*o**2. What is j(a(t))?\nAnswer: 11712*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 154\/(-33) - (-1 + (-1)\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.022 + 0.452. Let k = -0.07 - l. Sort -0.2, 0.4, k in increasing order.\nAnswer: k, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2) + 2 + -1. Let c be -10*(-5)\/(-20)*(2 + 0). Let j be (2*(0 - c))\/2. Solve -5*d + k*o + 1 = -4, 5 = j*d + o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5730 + 16792. What are the prime factors of t?\nAnswer: 2, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -19*m + 1512. Is (6742\/(-6))\/((-28)\/m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j + 53*j - 59*j**2 - 27*j.\nAnswer: -59*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 25 = -a, -3*z + 4*z - a = 15. Solve 4*i - 20 = 5*o, 2*o + 4*i + z = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*5\/(-10)*1\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6860016469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 0 - 1 - (-6 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2)*5)**2 - (4*sqrt(12)\/sqrt(4))**2) + sqrt(24)\/((sqrt(72)*2)\/sqrt(9)).\nAnswer: sqrt(3)\/2 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101\/12 - 39\/4. What is the biggest value in 0.3, m, -19?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*z - 366*z - n - 157 = 0, 0 = 5*z + n + 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 457*o. Let g(x) = -3*x + 25. Let v(a) = -2*a + 15. Let f(l) = -3*g(l) + 5*v(l). Determine m(f(h)).\nAnswer: -457*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 328128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3055, 12270, 27633, 49144?\n\"Answer: 3074*z**2 - 7*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 2)*(4*r + r - 3*r)*(218 + 179 + 59) to the form m*r + g and give m.\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(-1*sqrt(400) - sqrt(4))*6)**2.\nAnswer: 612\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7225 and 675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 4*k. Let i = -1\/14 + -3\/7. What is the closest to 0 in i, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3 - 75*m**2 - 74*m.\nAnswer: -m*(m + 1)*(m + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x**2 + 1)*((-6 + 3*x**2 + 6)*(1 - 2 + 0) + 2*x - 2*x - 2*x**2).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000303183872 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46649929?\nAnswer: 109, 139, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 466*l + 20 = 464*l - 4*s, -3*l - 22 = 2*s for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*96\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 157700 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/(-5)*-2)\/((-20)\/(660\/(-11)))?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -32587.4 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331572 divided by 110524.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -89, 15, 179, 403, 687, 1031?\n\"Answer: 30*t**2 + 14*t - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41093.876 + 41096.7759961. Let w = h - 2.9. Round w to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 5779*u - 273713. Calculate y(47).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2077597 to the power of 1\/2, to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 915*d + 921*d - 2 - 1846*d + 1.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.19, -3, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from hjsqsqshtlttql.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/6)\/((-13)\/(-130)). List the prime factors of (d + 7)\/((-18)\/(-387)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 - -81. Suppose -2*f - 256 = -m*w, 2*f + 4*w + 223 = -33. What is f rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 8667896*b + 60675468.\nAnswer: -4*(b - 7)*(b + 2166981)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 351036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, t: 1, p: 3, x: 3, l: 2, u: 5}. Give prob of picking 1 t, 1 p, and 2 l.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13244200 + 20423?\nAnswer: -13223222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + 345. Let n = x + -208. Solve -2*f - 16 = -v + f, n = -f - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 19*y**5\/60 + 200*y**2 + 8*y + 1. Let g(a) = -a**2 + 4. Let j(p) = -3. Let l(u) = -3*g(u) - 4*j(u). Determine n(l(t)).\nAnswer: 171*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -9, -10, -21, -48, -97?\n\"Answer: -s**3 + 4*s**2 - 2*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3230202301 (base 4) in base 8?\nAnswer: 3544261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3819 and 0.21?\nAnswer: -801.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 367291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(1\/6)))\/t**0)\/(t**(-3\/2)\/(t**4\/t)))**(6\/13) assuming t is positive.\nAnswer: t**(28\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0141*1.862.\nAnswer: -0.0262542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(14\/8 - 2). Suppose 39 = a*w + 2*q + q, w + 5*q + 3 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -450479, -900987, -1351495, -1802003, -2252511?\n\"Answer: -450508*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i - 22 + 22)*(25 - 82 - 12 - 33)*(-17 + 10 - 8) to the form g + u*i and give u.\nAnswer: -12240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.453 to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/10*176903\/(-27). Let p = 9831 + i. Calculate the common denominator of p and 91\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6, 115, -5, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744 and 6?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/5 - (-15 + 20)\/25. Which is the third smallest value? (a) -1\/5 (b) g (c) 1 (d) 103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*n - 18, 10*n - 5*n - 28 = -4*x. Sort -4, 0, x.\nAnswer: -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130708, -261418, -392128, -522838, -653548, -784258?\nAnswer: -914968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -115 - -452. Let g = c - 318. What is the highest common divisor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3\/4 (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6131928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 157124?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/12 + g**3\/2 + g**2\/2 - 2*g. Let r(u) = -2 + 3 + 3*u + 1 - u**3 - 2*u**2. Let h be r(-2). Give m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69565.\nAnswer: 5, 13913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l**3 - 8*l**2 + 4*l + 9. Give r(4).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14258 + 14269. Solve 2*l + 139 = -3*y + 138, 3*y = 4*l + k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0 + 0*m - 2*m**2 - 1\/2*m**3 + 1\/2*m**4. What is the first derivative of q(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -93 - -95.95. Let s = 3 - c. Let h = 0.053 - s. Round h to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n**2 - 5316*n - 21600 = 0 for n.\nAnswer: -4, 1800\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9570 and 112860.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 488*j + 57230. Give n(-197).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 167818165 to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + a - 2*a)*(-2*a**4 + 2*a - 2*a) + 3*a**5 - a**2 + a**2 + 0*a**2 + 0*a**2 + 4*a**5.\nAnswer: 11*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -51, -121, -249, -453, -751, -1161?\nAnswer: -1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96\/3289 + -280517\/934076. Find the common denominator of -49\/3 and u.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -4)\/(1\/4) - -26. What is the highest common divisor of g and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -127. Calculate the smallest common multiple of 22 and q.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y - 21 = 10*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -19*u + 0 + 0*u**5 + 0*u**6 + 151\/42*u**7 + 0*u**4 - u**2 - 1\/6*u**3. What is the second derivative of x(o) wrt o?\nAnswer: 3020*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/4 + 4*m**3\/3 - 2*m**2 + 7*m + 2. Let x = -6 + 18. Let l = x - 17. Give d(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 17*o**2 + 14*o - 53. Let d be h(-18). Factor 5*b**2 - 25*b - 31 + 23 - 14*b**3 + 23 + d*b**3.\nAnswer: 5*(b - 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161525\/82 not equal to -1970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**3 + 3*g**3 - 3*g**3 + (-4*g**2 - 2*g**2 + 4*g**2)*(-6*g + g + 4*g) - 4*g**3 + 4*g**3 - 2*g**3 + 6*g - 6*g + 6*g**3.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (83 - 99)*(87 + -88)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = -44. Calculate the highest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/2 - (30037 + 1 + -35). What is n rounded to the nearest one hundred?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32 + -5a6610?\nAnswer: -5a6642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkokmkoookkkomo. What is prob of picking 2 k, 1 m, and 1 o?\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 107*y**7\/70 - 91*y**3\/3 - 87*y**2 + 2*y. Differentiate c(k) with respect to k.\nAnswer: 1284*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/25 (c) -1\/3 (d) -5 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42134 - -1011361\/24. Find the common denominator of 157\/30 and p.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/11 + 46*p**4\/11 = 0. Calculate p.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbk when three letters picked without replacement from ybxbbnkbbbxxb?\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.71*14.\nAnswer: 65.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 6922105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 + -5 - (-2 - 1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**5\/20 - f**4\/24 - 4*f**3\/3 + 3*f. Let v(l) be the second derivative of c(l). Determine v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from sccccccccssccs?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l - 176*l = 860 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 316*z**2 + 1 - 4.\nAnswer: -316*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177213\/14 + 12666. What is the common denominator of 1 + 3*(-213)\/72 + 5 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4*((sqrt(5445)*-2 + sqrt(5445) + sqrt(5445))\/(sqrt(576)*4) + 4))*-2.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6744764 and 1037656?\nAnswer: 13489528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 114*r - 108*r. Suppose 75*d - r*d = 55150. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 152*q**3 + 996*q**2 + 2088*q + 1242.\nAnswer: 2*(q + 1)*(q + 3)**2*(q + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and 409?\nAnswer: -16769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 11:51 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 248 = u + 3*u, -u + 326 = 5*z. Suppose -6*b + 2*b - 4 = 0, -5*y + z = -b. Suppose f - 43 = -y. Calculate the highest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16444069 greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1726944235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s = b - 4*s + 19, -b - 4*s = 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58\/235 or 0?\nAnswer: 58\/235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 7*y**2 - 10*y - 8. Let w be n(-8). Let t = w + 1. Let p = t - -1. Solve -3*u - 3*h = 12, 4*h - p = -5*u - 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - t**3 - 9*t + 8*t**2 - 11*t**2. Suppose 4*k + 2*q - 26 = 0, 0 = -4*k - 0*q + 5*q + 61. Let c = k + -11. Give p(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001085258 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -28. What is the nearest to n in -5, 4, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) 2\/17 (c) -2.324 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 20*f - 80. Calculate the remainder when 115 is divided by (-4)\/6*f + 49 + -8.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 127 divided by -80556\nAnswer: -127\/80556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 + 6*u**3 + 7*u**3)*(-7*u - 37*u - 15*u).\nAnswer: -1062*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32082 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*d**2 - 12*d**2 + 10*d**2)*(1 - 2 + 0 + (7 - 3 - 25)*(-2 + 3 - 3)) in the form p*d + w + k*d**2 and give k.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*x + 29. Let g(m) = 2*m**2 + m + 1. Let q be g(-1). Let s be (-8 - -7)*6\/(-2). Solve 0 = 3*c + x, -1 = -q*a - c + s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 64*y + 0 - 1 + 10 to the form u + j*y and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a + 11. Let h be x(6). Let l = 25 - h. List the prime factors of (-106)\/(-2) + 3 + (-2 - l).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2265.8 - 2266. What is the biggest value in -1, -2\/75, -1\/2, n?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71909323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**6\/360 - 7*w**5\/120 + w**4\/8 - 8*w**3\/3 + 19*w. Let l(a) be the second derivative of y(a). Give l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53, 68, 91, 128, 185, 268, 383?\n\"Answer: j**3 - 2*j**2 + 14*j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1933 or 1887?\nAnswer: 1887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5182*y - 161 + 161.\nAnswer: 5182*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 29*d**3 + 13*d**2 - 13*d - 13. Suppose 210*y - 637 = 161*y. Let t(k) = 15*k**3 + 6*k**2 - 6*k - 6. Calculate y*t(l) - 6*g(l).\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {g: 1, k: 2, m: 2, x: 1, i: 1, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 12 = 336. What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 846542, 847098, 847654?\nAnswer: 848210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -396 <= -402?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 919 = -951 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 + 76*c**2 = 0. What is c?\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -315\/12812 or -1?\nAnswer: -315\/12812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0*w = 0. Suppose 4*l - 11 - 9 = w. Suppose 4 = -l*b - 6, -2*u + 3*b + 34 = 0. Is u 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 4412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(880)\/sqrt(11) + sqrt(10)\/sqrt(2) + -5 + (1 + sqrt(405)*2)**2*5.\nAnswer: 185*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565429?\nAnswer: 565429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1\/9 (b) -0.076 (c) 1\/19 (d) 1\/4 (e) -183\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220*m + 88592285 = -19*m - 271338415. What is m rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/12, -6, 0.5, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*s - 40*s - 146*s = -539 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248.3695 months in years?\nAnswer: 187.364125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x**3 + 19*x**2 - 26*x + 7. Let l be g(1). Let t be (-2)\/3 - 400\/12. Put t, l, -1 in decreasing order.\nAnswer: l, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 0.13 (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 34497583594.\nAnswer: 34497583594.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 4, -286, -5, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4950 divided by 4950\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/12)\/(14\/24*(-6)\/21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1002 - 993. Put z, 2, -2 in ascending order.\nAnswer: -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -20*f**3 - 32*f**2 + 5*f - 9. Let v(g) = -7*g**3 - 11*g**2 + g - 3. Let b(w) = 6*j(w) - 17*v(w). Let a be b(-7). Solve a*i = -10 - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 2*f + 4, -f = -g. What are the prime factors of (42\/(4\/g))\/((-8)\/(-52))?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192072\/133 at most as big as 1443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*v = -3*v - 5, 0 = -v + 3. Suppose t*w = 3161 + 290. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 25769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 577 (b) 0 (c) 0.3 (d) -4284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3296 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5005 and 183645?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 5168 and -139 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 (base 10) in base 2?\nAnswer: 10000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 303, 607, 911, 1215?\nAnswer: 1519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -18\/6133 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 0)*-6 - (sqrt(7) + -3 + sqrt(7)*-2) - sqrt(189)\/sqrt(3)*3.\nAnswer: -14*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 26\/5 of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r*r**(-1))\/r)\/r**(2\/17))\/(r**(-4)\/r*r*r**3) assuming r is positive.\nAnswer: r**(32\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1aa7 - -5?\nAnswer: -1aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)*j\/(j*j**(-12))*j)\/(j**(-2\/3)*j\/j**4) assuming j is positive.\nAnswer: j**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17401, 34822, 52265, 69742, 87265, 104846?\nAnswer: 122497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1855104 divided by 9\nAnswer: -618368\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 496600 (c) 0.5 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 800476786?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202087154 is divided by 2807.\nAnswer: 2803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 5*i - 4. Let q be z(9). Suppose -2*d + 36 = 3*v - 5*d, 5*d + q = v. Suppose v*w - 52 = 3*w. What is the remainder when 64 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16662*g - 16049*g - 33102 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8369 + 8369 - 160*x - 141*x - 9*x.\nAnswer: -310*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*n**2 - 156*n**2 + 34*n**2.\nAnswer: -164*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = 3*c - 5*c, 5*r + c = 95. Suppose 22*w = 443 + 525. What is the lowest common multiple of w and r?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -19?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1205, 6\/11, 5, 1\/6, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.98 and 24.875.\nAnswer: 26.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 66 = -7*v - 12, 3*b + 2 = -3*v - 14 - 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78.65 - -79. Let u = 0.15 - w. Which is the closest to 4? (a) u (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y = 4*b + 14 - 6, 2 = -4*y - 2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -5. Suppose -l - 19 = -4*s, -4*l + r*s = 7 + 14. Put -5, 0, l in decreasing order.\nAnswer: l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a + 1. Let j = -7 - -6. Let p be (j\/4)\/((-2)\/(-8)). Let n be m(p). Solve -9 = -n*v + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4324997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2, 0.12, -1, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54472, -108934, -163396?\nAnswer: -217858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/198*2\/10*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkyy when four letters picked without replacement from {m: 2, y: 1, r: 1, z: 9, k: 3, s: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 + 7*i**2 + 4*i + 6. Let f be (-5)\/25 - 29\/5. Let c(y) = -4*y**3 - 7*y**2 - 5*y - 7. Let u(o) = f*c(o) - 7*q(o). Find v, given that u(v) = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 9*b**2 - 2 + 24*b + 12*b**2.\nAnswer: 3*b**2 + 27*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + sqrt(17) + -2 + 5.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2. Suppose s - 2*u = 57, -4*s - 2*u - 240 = -8*s. Let y(m) = 479*m + s + 56 - 480*m. What is i(y(t))?\nAnswer: t**2 - 234*t + 13689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021*o = 1095*o + 1406 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 4*n + 44, 2*f - 5*n - 45 = -3*f. Let j = 67 - 44. What is the remainder when j is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-1 - sqrt(88))*6)\/((2*sqrt(96) + sqrt(96))\/sqrt(12)) + 1 + (sqrt(704)\/sqrt(4))**2 + (sqrt(11) + sqrt(396) + 0 - sqrt(11) - sqrt(11)).\nAnswer: sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, 4, -387 in descending order.\nAnswer: 15, 4, -1, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4\/3 - 868*u**3 + 344444*u**2\/3 + 235732*u - 349680 = 0. Calculate u.\nAnswer: -3, 1, 188, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72 - -134. What is the remainder when d is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*t**2*w + 54215*a**3*t**2 - 3*a**2*t**2 + 13*a**2*t*w - 2*a**2*w - 4*a*t*w - 17*a*w wrt a.\nAnswer: -12*t**2*w + 325290*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - -6*-3*sqrt(128) - sqrt(128)) + sqrt(128))**2 - (-5 + -3*sqrt(128)) - -5*(sqrt(128) + -3 + -5)*2.\nAnswer: 104*sqrt(2) + 36917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 159. Calculate the remainder when y is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/120 and -107\/41868.\nAnswer: 418680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + (-418)\/(-95))*(-20)\/(-8). Let i(y) = 14*y**2 + y - 1. Calculate i(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 6 = b - 18 + 2, 0 = -o + 5*o - 9*b + 44 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4 - 6717202*l**3*t + 5*l**3 - 690382*l**2*t - 2*l + 22*t + 5 wrt l?\nAnswer: 48*l - 40303212*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -68. Suppose 7*t - 4*t - 2*x = -50, 3*x = -3*t - k. Let w = -14 - t. Solve w*g = g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -12. Let t = n - -10. What is the third biggest value in 3, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-14)*5\/(-15)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/28 in 2931\/2, 1, -1.7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3868649913?\nAnswer: 3, 14387, 89633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 = 2*b, 5*b + 4*l + 3 = -20. Let q(w) = w**2 + 3*w + 3. Calculate the smallest common multiple of 1 and q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from nbhbnwxg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/7)\/((-100)\/75)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3702 + 3624*k**4 - 3651*k**4 - 103*k**3 + 30 + 35*k**3 wrt k.\nAnswer: -108*k**3 - 204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u + 6. Suppose u*p + 2*p = 0. Suppose -3*c = -j - p*j - 7, -4*j = 5*c - 6. Solve -5*o + c - 27 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(91)*-3 - sqrt(91) - sqrt(91)) + sqrt(91))\/(1*sqrt(700)).\nAnswer: 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 - s. Let t(l) = -7*l**3 + 3*l**2 + 5*l. Let z(q) = 181*q + 1630. Let x be z(-9). What is x*t(i) + 5*d(i)?\nAnswer: -2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/30 - 119*d**4\/3 + 1435*d**3\/2 - 2*d**2 + 3*d - 149. Differentiate o(u) wrt u.\nAnswer: 4*u - 952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73000 and 41245.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10807 + 10809. Let p = 0.05 + 3.95. Put p, 13, 2\/25, v in decreasing order.\nAnswer: 13, p, v, 2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*z - 3*j + 136, 2*j = 5*z - 216. What is the remainder when -75*(-25)\/(1575\/147) is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361360 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -27. Let s = 1.2 + r. Round s to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*m = -89 + 28 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/(-42) + -3*(4 + 50\/(-12))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 134*g**3 - 7*g**2 + 18*g - 11. Let v(p) = 67*p**3 - 3*p**2 + 8*p - 5. Calculate -4*t(n) + 9*v(n).\nAnswer: 67*n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, r: 2, s: 7}. What is prob of sequence ss?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**1*y))**(-25)\/(((((y\/(y\/(y*y*y**(-1\/4))))\/y)\/y*y)\/y)\/y*y)**(5\/2) assuming y is positive.\nAnswer: y**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 408, -0.1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/((-3096)\/108) + (-1 - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 0, 3, 434.\nAnswer: -46, 0, 3, 434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 1788 = 236. Let c = t - -505. Is c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60 - 53) + -69 + 29\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 192\/5. Let s be 52\/39*(-6)\/10. Let f = -19\/6 + 7\/2. What is the third biggest value in s, f, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/177 + 16819\/708. Let s(p) = -2*p**3 + 11*p**2 - 28*p + 34. Let h be s(15). Let o = h + 102507\/22. Calculate the common denominator of m and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k**2 - 6*k**2 + 6*k**3)*(23 + 23 + 4)*(-5*k + 3*k + 3*k) in the form z*k**4 + n*k + p + h*k**3 + a*k**2 and give z.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/60 - t**4\/3 - t**3\/2 - t**2 + 2*t. Let n(p) be the first derivative of m(p). Does 5 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -43. Let q(p) = p - 6*p - 439*p**2 - a*p**2. Let c be q(-5). Round c to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 2*r**2 + 5*r**2)*((-r + 2*r - 3*r)*(2 + 2 - 2) - 261*r + 670*r - 273*r).\nAnswer: 132*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(11) + 0)*-3*-4)**2 - ((sqrt(11) - (sqrt(11) + -4)**2 - sqrt(11)) + 0 - (-4 + sqrt(539))**2).\nAnswer: 1088*sqrt(11) + 4470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.4510928 to 3 dps.\nAnswer: 16.451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 6:26 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1312210*n**3 - 217855*n**2 + n - 1.\nAnswer: 7873260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**2 - g - 1. Let k(j) = 2*j - 3 + 5*j + 5 - 2*j. Let q(v) = 9*f(v) + 4*k(v). Differentiate q(b) with respect to b.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g. Let w be y(-3). Let a be (w\/(-18))\/(16\/18 - 1). Does 8 divide 286\/a - (20\/12 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 598 - -342. Are o and 941 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/4, 5 in descending order.\nAnswer: 5, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -483 (base 9) in base 4?\nAnswer: -12033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 15\/240410809?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -2*sqrt(891) + 1 + 5 + 3)**2.\nAnswer: -162*sqrt(11) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -10612*d**2. Let o(w) = w. Give c(o(a)).\nAnswer: -10612*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1391769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, 0.1517, 116, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppph when four letters picked without replacement from hhhhhhhphhpppp.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 43856653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 681, 5412, 18255, 43266, 84501, 146016, 231867, 346110?\n\"Answer: 676*p**3 - p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1123240552 by -1754.\nAnswer: 640388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 645428559 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: Let a = 76169 + -75331147\/989. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8306*x + 3018*x - 4636*x - 4225*x - 6452*x.\nAnswer: -20601*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 410?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*3\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*q**3*w - 2071*q**3 + 4*q**2 + 2*q*w + 380*w wrt q.\nAnswer: -132*w - 12426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwzw when four letters picked without replacement from {v: 6, w: 3, z: 1, b: 1, g: 2}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6bd - 24305?\nAnswer: -23a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + (-21)\/6)\/((-1)\/(-8)). Suppose -4*x - 62 = -5*q, x = -q - 3*x - 2. Solve -r - k*r = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -12. Let a be (1*(-3)\/k)\/((-6)\/(-64)). Is a at most as big as -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1\/6)*s*s))**(-1) assuming s is positive.\nAnswer: s**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 9*c**2 + 79*c - 291. What is v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*w**5 - 2*w**4 + 2*w**2 - 872*w wrt w.\nAnswer: -3180*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1.14, -2\/3, -21, 339, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**5 - 144500*s**4 - 2888445*s**3 - 12851950*s**2 - 10108000*s = 0?\nAnswer: -28880, -14, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q + 88 = -471. Which is greater: -104\/9 or q?\nAnswer: -104\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.999908 + -7. Round o to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynq when three letters picked without replacement from nbvnqvnlvqny?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14496)\/(-2718)*(-21)\/4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Solve -4*h - 3*j + 2 = f*j, -5*j - 19 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149 - -159 - (14 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -63, -70, -7, 168?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*s*v**2 + 195*s - 46*v**3 wrt v.\nAnswer: -4*s*v - 138*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 - 1416*w**2 + 42746*w = 0 for w.\nAnswer: -737, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -441*j - 1 + 1 + 480*j in the form s + i*j and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4744*b**4 + 7783*b**2 - 2199022*b + 61.\nAnswer: -56928*b**2 + 15566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t + 29. Give k(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 389, 4745, 11995, 22139, 35177, 51109, 69935?\n\"Answer: 1447*i**2 + 15*i - 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -176.8 + 206. What is l rounded to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 44207, 176842, 397919, 707438?\n\"Answer: 44221*f**2 - 28*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -7. Suppose -d - 2 - w = 0. Which is the closest to -0.3? (a) -3\/2 (b) d (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 1\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4111810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20383, -40919, -61445, -81955, -102443?\nAnswer: -122903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 6*y + 10. Let d be g(-5). Solve d = 2*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(2\/5)*y)\/y)**14\/((y\/y**(-5)*y)\/y)**(-1\/3))**(3\/20) assuming y is positive.\nAnswer: y**(81\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - ((-260)\/36 - (-6)\/27). Suppose -y*u + 3*w = -501, 4*u - 5*w = -0*u + 672. Find the first derivative of 77 - u + 81 - 13*z**3 wrt z.\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/306? (a) -0.4 (b) 0.2 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-5))\/(10\/125*-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042885 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10415351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 2900, 7019, 12798, 20243, 29360, 40155?\nAnswer: 52634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b - 18. Let d = -127 - -131. Let f(l) = -3*l. Let a(u) = 7*u. Let q(o) = d*a(o) + 9*f(o). Calculate w(q(n)).\nAnswer: -2*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49821 - 1?\nAnswer: 49820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16.66 + -16.7. Which is the fourth smallest value? (a) -1 (b) -4 (c) q (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 0*l + 0*l)*(-589839 + 589846 + 68*l + 54*l) to the form y + s*l**2 + v*l and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 9*n + 3. Let b be v(-9). Let h be (-1 - 3)*-5*(-15)\/(-150). Put b, h, 1 in ascending order.\nAnswer: 1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13776481*v**2 - 13*v - 516876685?\nAnswer: 27552962*v - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 189277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/5 (b) -3\/25 (c) -2\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (9 - 65\/5). Let g = 15.2 - 15. Which is the fourth smallest value? (a) -0.5 (b) 0 (c) z (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1659467 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5. Suppose -r + i + 3 = 0. Find the third derivative of 6 + 2*f**r - 4 + 2*f**2 - 2 wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 7*c**2 - 2*c - 10. Let u be w(-7). What is the second derivative of u*l**2 - 18*l + 51*l - 28*l wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttwt when four letters picked without replacement from vwwwvwtwv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 - 13.4. Let u = 16.7 + b. Let x = -4.3 - u. What is the third biggest value in x, 3, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 2, l: 1, s: 1}. What is prob of sequence ls?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4226 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Suppose -2*i + 2*n = -7*i + 30, 0 = 4*i + h*n - 41. Solve 0 = 4*x - i*s - 4, 4*x - 5*s - 21 = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -11068 and 1.\nAnswer: -11067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, 2, 3, -96, -2 in increasing order.\nAnswer: -96, -2, 2, 3, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2. Let d(u) = u**2 + 808. What is d(y(j))?\nAnswer: j**4 + 808","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 15 - 45) + (-1 - -3 - -2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 7. Let c be g(-3). Let s(k) = 176*k**2 + 81 - 177*k**2 - 76. Give s(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 4. Let a(g) be the first derivative of 3*g - 1. Let j(p) = -4*a(p) + 3*s(p). Let c(b) = 2*b**2. Determine c(j(q)).\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.24607489 to 4 dps.\nAnswer: 21.2461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + d + 11 = 0, 5*d = -0*d - 5. What is the smallest common multiple of j + -4*(-2)\/4 and ((-145)\/5 + 11)\/(-2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10*(-16)\/1600)\/1. What is the second smallest value in -3, v, 1\/7, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14778835.5 * 5.\nAnswer: 73894177.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjaaa. What is prob of picking 3 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 10) + 1 + -14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 2*t**2 + 5*t**2)*(0*t**3 + 10*t**3 + 4*t**3) + 5*t**5 - 24*t**4 + 24*t**4.\nAnswer: 103*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -24 - 15. Let s(u) = -2*u**2 - 24*u + 66 - 29 - 29 - 17*u. Is s(j) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2\/r)**15*(r**2)**30)**(2\/3) assuming r is positive.\nAnswer: r**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3*r = 2 + 20, 5*r = -4*h - 42. Let k = 8 + h. Solve -i - 3*v + 1 - 2 = k, 2*v = 3*i + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 10. Let q be n(-5). Let h be 13 + (1 - 1) - -1. Suppose q*t - h = 3*p, -t + 2 = -p - 0*p. Sort p, 2\/5, -2\/11 in descending order.\nAnswer: p, 2\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 - 53206?\nAnswer: -53174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -74? (a) 2\/5 (b) 2 (c) 72 (d) 1\/7 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1578532009 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 2*a**2 + 3 + 374*a**4 - 377*a**4 - 2 - 6*a**3 in the form t*a**3 + d*a**4 + n*a + l + h*a**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 265280.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 16452963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 24\/101 (c) 296 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*t = t + 4, 0 = -2*t + 8. Let z = -3.1 - -1.4. Let q = z - -2.1. Which is the biggest value? (a) q (b) 0.5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + g + 4*g)*(-3 - 1 + 0) + 0 + 0 + 3*g + (-1 + g + 1)*(4 - 1 - 1) as c*g + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-10))\/(30\/125))\/(13\/(-65)*10).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*o = 76*o + 5. Suppose -3 = o*c - 28. Determine a so that 246*a**2 - 44*a + 24 - 6*a**3 + 46*a**3 - 246*a**2 + 4*a**c - 24*a**4 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/5)*(z*z**4*z)\/z)\/(z**(4\/9)*z*z*z**0))\/(((z*z\/(z*z*z**(2\/7)*z*z))\/z)\/z**(-2\/3)*(z*z\/((z\/(z*z**0)*z)\/z)*z)**(15\/7)) assuming z is positive.\nAnswer: z**(-206\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oaaaaaao?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -166370 < -166370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 5644823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -5) + ((-29)\/6 - (-30)\/40). What is the closest to k in -4, -0.3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcfffcf. What is prob of picking 4 f?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -86*p**2 + p. Let w(m) = m**2. What is -f(i) - 3*w(i)?\nAnswer: 83*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 182. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 8*v + 2. Let q(j) = -j + 1. Let b be q(0). Let n be b\/2 + 65\/10. Let f be z(n). What is the highest common divisor of 63 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/126)\/(1\/6). Sort 0.2, 2\/19, r.\nAnswer: 2\/19, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2469*y + 3797*y + 2398*y + 2372*y to the form x*y + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -r*s + 20 = -7*s. Let z = 32 - s. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 2. Let g be (-9)\/n*1*-921. Let m = -831 + g. Find the common denominator of m and -35\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g + 1. Let j(v) = 3*v + 7*v**2 + 19*v**3 - 4*v - 6*v**g + 26*v**3. Does 20 divide j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-8) + ((-14)\/(-4))\/(-7). Let l(z) = -5*z + 3*z**2 + 2*z**2 - 6*z**2 + 2. What are the prime factors of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*((2*y - 3*y + 5*y)*(0*y**2 - 3*y**2 + 4*y**2) + 17*y**3 + 33*y**3 + 24*y**3).\nAnswer: 78*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-20)*(-5 - -1). Solve 2*h - f = 2*a, 2*h + a + 11 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4967053543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(56\/20 - 3). Suppose -4*v + a*h - 3*h = -4, -5*v + 3*h + 3 = 0. What is the second derivative of 3*k**v + 4*k**3 + 6*k - k - 3*k**3 wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {k: 3, w: 2, l: 2, n: 6, h: 5}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.404 + -0.004. Sort -0.1, -0.3, t, -2.\nAnswer: -2, -0.3, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 1. Solve n*y = 4*y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 17 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u**2 + 94*u - 114. Determine x(-10).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.223121942\nAnswer: 0.0669365826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 14*m + 14. Suppose -6 = -b - y, 2*b + y - 6 = 2*y. Let p(i) = 2*i + 0 + 5 + 3*i. Give b*q(r) - 11*p(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 5*z. Let j(h) = h**2 - 6*h. Let v(n) = -6*j(n) - 7*p(n). Let c(o) = -2*o**3 + 4*o**2 + 6*o + 2. Determine c(b) - 4*v(b).\nAnswer: -2*b**3 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2360691953?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -142*p**2 - 2*p + 1. Let b(h) = -140*h**2 - 3*h. Let i(z) = 4*b(z) - 3*k(z). What is the second derivative of i(v) wrt v?\nAnswer: -268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 12*a = -66384. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - -0.26. Let z = t - 0.4. Let s = -0.76 + z. Which is the nearest to 0? (a) -0.4 (b) s (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 76. What is the third derivative of -22*f**2 + 17*f**6 - 36*f**q - 3*f**2 wrt f?\nAnswer: -2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 57*s - 28. Let p(r) = 28*r - 13. Give -6*n(m) + 13*p(m).\nAnswer: 22*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 1, f: 6, o: 3}. Give prob of picking 1 f and 1 o.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 12*j**4 - 4*j**3 - 84*j**2 + 100*j - 24 = 0.\nAnswer: -3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27680881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 28. Let t = -14 + l. Let w(n) = -5*n**2 + 1. What is w(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-604)\/(-12) - 2\/(-3)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 36\/(-8))*2. Suppose 5*a - 7*b = -g*b - 16, 5*b = a + 20. Put -14, -1, a in decreasing order.\nAnswer: a, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700393843?\nAnswer: 700393843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 4505655.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 0*p**3 - p + 4*p**3 - p**3 - 4*p**3. Let b be v(-3). Solve 5*s - b - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -0.074, -0.189426?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15913, 32020, 48119, 64210, 80293?\n\"Answer: -4*c**2 + 16119*c - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -214, -425, -636, -847, -1058, -1269?\n\"Answer: -211*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -334, -662, -980, -1282, -1562, -1814, -2032?\n\"Answer: f**3 - f**2 - 332*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 19 = 26. Suppose 0*a + 4*a = 20. Let y be (12\/a)\/((-4)\/(-10)). Calculate the greatest common factor of y and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -5, 4\/9, 13\/9, 0.52?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 131, 365, 823, 1583?\nAnswer: 2723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -36213661.\nAnswer: -7242732.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1556?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5372642*v**4\/13 - 3384725124*v**3\/13 + 3354610210*v**2\/13 + 1899768*v + 45288\/13 = 0?\nAnswer: -6\/1639, 1, 629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = 0, 0 = 3*i + i - 2*q - 6. Suppose i = -h - h + 4. Suppose 5*m = j - 0*m + 2, 0 = 3*j - h*m + 6. Is j not equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1398805*r**5 + 10*r**2 + 338*r + 47 wrt r.\nAnswer: -83928300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-54)\/8)\/(15\/40). Let y = -4 - z. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 409956149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 800 - 797. What is the nearest to -1 in g, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 3\/4 (c) -26061\/5 (d) 2\/5 (e) -6\/11 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -43*r**2. Let n(g) = 3*g. What is n(k(d))?\nAnswer: -129*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z = 14*z + 24. Suppose -z*w + 1013 = 41. Does 27 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) - -2*sqrt(60)\/sqrt(4))\/(2*sqrt(75)).\nAnswer: 3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - 227)\/(0 - 1). Suppose -7*w + 180 + j = 0. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-54))\/(10\/12)*6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Give t(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*z**3\/3 - 1888*z**2\/3 + 932*z\/3 - 116\/3 = 0. Calculate z.\nAnswer: 1\/4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 641\/3555 + 3\/(-15). Let y = r + 1202\/205479. Let u = y + -21659\/1156. Find the common denominator of u and 29\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 12*p = 16. Suppose 0 = -p*z + 90 + 74. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 336*j**4*l + j**4 + 44548*j**3 - 2*j**2 + 606879*j*l + 102*l wrt j.\nAnswer: 8064*j*l + 24*j + 267288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.649 plus -2?\nAnswer: -26.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 - 13*x - 12. Let j be p(-10). Let a = -15 + j. Let f(l) = 8*l**2 - 6. Let s be f(a). Calculate the greatest common factor of 22 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -16*q**3 + 130*q**2 - 15*q + 18. Determine w(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 - (16 + 18 + -20 + -4 + -5).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m - 7*m)*(-64 - 14 - 22)*(0 - 2 + 0).\nAnswer: -1400*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -14. Which is the third biggest value? (a) p (b) -0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-5*6))\/((32981\/(-354))\/43).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558489809.\nAnswer: 251, 2225059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 4*v = -3*f - 127, -17 = -f - 5*v. Suppose f - 63 = -2*p. What is the remainder when 213 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 + 86*w = 0. What is w?\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14595\/37 in 1\/3, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:35 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o - o)*(1 - 3 + 0)*(-4*o**4 + 22 - 22).\nAnswer: -16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - p. Suppose p = -7*s - 1748 - 1367. Let a = s - -1596. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.422578 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -351, -703, -1055?\n\"Answer: -352*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**5\/10 - 3*y**4\/8 + y**3\/3 - 9. Factor i(x).\nAnswer: x**2*(x - 2)*(x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3, -0.0723, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 115*g + 11 + 73 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 26 = -14. Let l be (4\/(48\/(-39)) + r)*-20. Solve 3*i = -c + 2, -14 = 4*i + l*c - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22206)\/22 + (-16)\/(-44). Let s = 1823 + k. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, -0.59, -42985, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/34300 and -179\/2730.\nAnswer: 1337700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -8*u. Let z(c) = c - 22. Give m(z(y)).\nAnswer: -8*y + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.03 + -0.03. Let a = j - -5. Let g = -16.0000163 + a. What is g rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 + 4 = 0. Let y be ((-2)\/d)\/(2\/(-28)). Suppose 0 = a - y - 3. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 3 = 47. Suppose -4*q = -7*q + 6. Sort q, 10, v in decreasing order.\nAnswer: 10, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25311 or 25312?\nAnswer: 25312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 1, -1 in increasing order.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3674*t - t**2 + 0*t**2 - 3674*t.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-66)\/12 + 5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1587*v**2 + 8200*v**2 + 7998*v**2 + 1776*v**2 + 59*v**2.\nAnswer: 19620*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7254*u - 665 = -7255*u. Solve 0 = 6*h - 683 + u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(52\/1092)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -181, -228, -305, -412, -549, -716?\n\"Answer: -15*y**2 - 2*y - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 11) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -2*g + s, -2*g + s + s = -214. Let o be -5 + 1 + (g - 7). What is the greatest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + 3*v + 4*v**3 - 7*v**3 - 4 - 2*v**2 + 0*v**2. Let m(p) = -p**3 - 3*p**2 + 4*p - 5. Let z(l) = -3*m(l) + 4*q(l). Determine z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)*(-5 + -2). Suppose -m - 15 = -z. Suppose 5*a - 16 - 44 = -5*n, a - 4*n = z. What is the lowest common multiple of a and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b - 3. Let p(g) = -21*g + 8. Let o(w) = -3*p(w) - 8*v(w). Let d(c) = 2*c - c + 0*c. Calculate o(d(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -293*o - 149743. What is b(-511)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -276551.75+-19232\nAnswer: -295783.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5286, -5221, -5058, -4749, -4246?\n\"Answer: 8*c**3 + c**2 + 6*c - 5301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 15 = -0*p, -3*h = -2*p + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-four fifths of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 628.6801 centimeters in micrometers?\nAnswer: 6286801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/4 - 2 - (78 - 73). Factor -1\/2*m**2 + 3\/2*m**3 + 0*m + 1\/2*m**5 + 0 - c*m**4.\nAnswer: m**2*(m - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + (sqrt(637) - (sqrt(637)*-2*-5 + sqrt(637)))**2 - ((sqrt(208)*4)**2 - ((4*sqrt(52))\/sqrt(4))**2))*6.\nAnswer: 363506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4274536 and 9324.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 420956 and 699364286.\nAnswer: 699785242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {t: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cff when three letters picked without replacement from ccfccfcfcfc.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/3, 5, 3, -1\/6, 1\/5, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.002*2432318.\nAnswer: 4864.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 - 425528*j\/5 + 425533.\nAnswer: -(j - 5)*(j + 425533)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -924*d**2 - 930*d**2 + 2784*d**2 - 1519*d + 570*d**3 - 930*d**2 wrt d.\nAnswer: 3420*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.7 + -17.1. Let x = 3\/20 - -11\/60. Let s = 0.5 + 0.2. What is the closest to s in x, -2, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58601, -58599, -58597?\nAnswer: -58595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1029 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.076344503 rounded to three decimal places?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 9*o**2 + 7*o + 8. Suppose 4 = j + g, 0*g = 2*j + g - 12. What is k(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -30. Find the third derivative of 14*n**3 - 16*n**2 + 6*n**t + 0*n**3 wrt n.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6083 bigger than -8065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5839082 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, 7, 45, 119, 241?\n\"Answer: 2*w**3 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 10 = 56. Let r(n) = 5*n + 5*n + 0*n**2 - 2*n**2 - s*n. Give r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.76 (b) -262.3 (c) -4\/3 (d) 15 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqqhh. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m - 0. Let c(u) = u**2 + 5*u + 6. Let r be c(m). Suppose r*s - 92 = -0*s. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-873 - 92*d**2 + 873)*(-3*d**2 + 4*d**2 - 3*d**2) + (d**3 - 6*d**4 - d**3 + (0*d - 2*d + 0*d)*(-4*d + 4*d + d**3))*(0 + 4 - 2).\nAnswer: 168*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119226 is divided by 945.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102580 divided by -108.\nAnswer: -25645\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + k**2. Let h be c(1). Suppose -5 - 5 = h*u + 5*n, 5*n + 10 = 0. Suppose -4*g = -u*g - 728. Calculate the greatest common divisor of 26 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(4 - (-99)\/(-27)) + 15045\/3. Solve h = -c + 5005 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 3*g - 2*g)*(g**3 + g**3 + 2*g**3)*(1 + 3*g - 1 + 2*g + 3*g - 3*g + 0*g + g + 0*g + (3 + 2 - 6)*(-4*g + 0*g + 2*g) + 2 - 2 + 2*g).\nAnswer: -40*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0.8. Let z = 0.8 - -14.2. Let l = z - 19. What is the third biggest value in -0.1, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (5*(sqrt(1573) + sqrt(1573) + (sqrt(1573) + -1)**2) + sqrt(1573))) + 0.\nAnswer: -7870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -676 - -111. Let m = -194 - d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557825?\nAnswer: 5, 53, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - b - 5. Let z(q) = 178*q**2 - 4*q + 7. Determine -y(p) - z(p).\nAnswer: -179*p**2 + 5*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 2*h**2 + 2*h - 3. Let a be g(-3). Suppose 2*m + 0 = -2*x - 4, 3*m - 4*x - 15 = a. Is (-1 - m)*1246\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -198865.887 + 198786. Let t = -80 - u. Let a = -0.11299794 - t. What is a rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5 + 26*y**4 - 788*y**3 + 5752*y**2 - 14464*y + 11776 = 0. What is y?\nAnswer: -46, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 1. Let x = -25 + 23. What is p(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 18*r - 75. Let q(y) = 2*y**2 - 2*y + 3. Calculate the remainder when h(6) is divided by q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 2*m. Let f be z(3). Let l = -193.851 - -194.351. Let b be 0\/((-2)\/(-2) - 0). Put f, l, b in increasing order.\nAnswer: b, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+-184\nAnswer: -184.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 44 - 153 + 109.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-20)\/6 - (-800)\/(-48). Sort r, 3, 2.1, -0.1.\nAnswer: r, -0.1, 2.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from lllllppllpllppplppp?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 2*u + 73 = 0, -2*y = u - 31. Solve 3*k + y = -d, 4*k + 0*d + d + 19 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l + 20*l - 18*l = -504 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -45*r**2 + 19*r - 1. Determine x(-3).\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/28)\/((-360)\/63). Let m(b) be the third derivative of 0*b - 1\/2*b**4 + 0*b**3 + 0 + 3*b**2 + o*b**5. Suppose m(f) = 0. Calculate f.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145442486 by -3.\nAnswer: -145442486\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 smaller than -305080\/549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f + 0*f - 6*f - 11*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752760 and 312420?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -8*n, 5*p - 2*n - 50 = 0. Calculate the remainder when (10\/4)\/(285\/18639)*4\/6 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/7, -3, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -181 divided by -546559?\nAnswer: 181\/546559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 2, h: 2, f: 1, r: 2}. What is prob of sequence qqkh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007918 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 54 = g. What is the units digit of 2*((-1710)\/(-4))\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Let j(t) = -108838*t. Give g(j(w)).\nAnswer: 23691420488*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 9:01 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0, -4\/3, 870, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 19726.394?\nAnswer: 789.05576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2. Let m = 15 + -14. Let a(p) = -1 + 0 + m - 3*p**2. Calculate c(a(f)).\nAnswer: -18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -208790702 and -5?\nAnswer: 1043953510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -30. Let s(y) be the first derivative of -y**2\/2 - y + 8. Let g(a) = 2*a + 2. Determine t*s(r) + 3*g(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j**5\/5 - 12*j**4 + 387*j**3\/5 + 822*j**2\/5 - 108*j - 120 = 0. What is j?\nAnswer: -10, -2, -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690667 = 14*t + 9*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1400314557 and 1.4.\nAnswer: -1400314555.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 32 = -16. Let n(j) = j**2 - 4. Give n(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100627 - -1\nAnswer: -100626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 58*n + 3. Let r(l) = -2*l - 1. Determine i(r(m)).\nAnswer: -116*m - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f + 4*g = -6, 5*g = -5*f - 10. Sort f, -6, -12 in decreasing order.\nAnswer: f, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -36*x - 32*x + x**2 + 102*x - 34*x. Let r(b) = -b + 28. Calculate r(z(w)).\nAnswer: -w**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s**4 + 2*s**3 - 5*s**2 + 2. Let f(c) = 21*c**4 - 11*c**3 + 26*c**2 - 11. Let o(q) = 4*f(q) + 22*i(q). Find the third derivative of o(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 1 + 1)\/(-1). Let l be (-10)\/(-3) + c\/3. Suppose -r + 8 = l*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -611*i - 164699. What is o(-271)?\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125150578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -818, -1261, -1708, -2159, -2614?\nAnswer: -3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174 + -37. Suppose o + 127 = 4*j. Suppose -5*u + 88 = -4*p + 5*p, j = 3*u + 5*p. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 13\/5*m**5 + 12*m**3 + 0*m + 0*m**2 - 12*m**4 + 198 - 1\/6*m**6. Determine q so that n(q) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1.7 (c) 40.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**6 + 389*o**3 - 164*o**2 + 5 wrt o?\nAnswer: 240*o**3 + 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 5*j + 5. Suppose 0 = 75*w + 73*w. Calculate z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 8. Let u = c + -5. Suppose -133*w + 3 = -134*w. Are w and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134639 divided by -3?\nAnswer: -134639\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and (-1707)\/(-27) - (-52)\/(-234)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - 127. Solve 3*j + 10 + 3 = -q, 3*j = d*q + 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -22. Suppose 4*w + 10 = -a*k + w, -71 = 5*k - 4*w. Let i(h) = h + 2. Let d(l) = 6*l + 9. Calculate k*i(o) + 2*d(o).\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -8. Suppose u = -v + 4*v. Let i(d) = 2*d - 1. Let w be i(v). Solve 0 = -0*a + w*a + 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*r + 3 + (3 - 3 - 4*r)*(1 - 2 - 2) + 29*r + 43 - 43 + 0*r - 2*r - r to z + l*r and give l.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31485 + 31553 - (-1 - (1 - (0 - -1)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = n - 498, 491 = -5*n + t + 2981. Suppose o = -5*w + n, 3*w + 5*o = 5*w - 183. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6377*s - 6359*s - 412 - 146. Let j(o) = -o - 1. Suppose -2*v - 3*w + 1 = -11, 4*v = 3*w + 6. Let r be j(v). Put s, 5, r in increasing order.\nAnswer: r, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 528424 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7651, -15247, -22843, -30439, -38035?\n\"Answer: -7596*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*((-2)\/2)\/((-4)\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 40. Let z = n + -55. Suppose -6*t = -6 - z. Solve 0 = 2*x + t*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101897, 101847, 101797, 101747, 101697?\nAnswer: 101647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.21 - -0.21. Let i = 8 + x. Let a be 10\/50*(-1)\/1. Put i, -0.1, a in ascending order.\nAnswer: i, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = t - 5*a - 10, -20 = 3*t - 5*a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**11)**(-8\/15) assuming y is positive.\nAnswer: y**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.7 and -32.33.\nAnswer: -38.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*j - 2*d, -d + 6*d = -j. What is the second derivative of -11*r**j + 2*r**3 - 65*r - 6 + 5 + 1 wrt r?\nAnswer: -220*r**3 + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0531 and 3.\nAnswer: 0.1593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -79e + -7715?\nAnswer: -7eb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 169137*i**2 - 2383690005*i + 7152592329.\nAnswer: -3*(i - 3)*(i + 28191)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*w = 297*w - 321. Suppose 0 = 21*g + w - 758. Let r(j) = 2*j**2 + 8*j - 6. Calculate the remainder when g is divided by r(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -10. Let l(o) be the second derivative of o**4\/12 - o**3\/2 - 5*o**2 - 2*o. Calculate the smallest common multiple of l(d) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 242965\/1508 + -2098\/13. Calculate the common denominator of m and (33\/30*-3)\/(30\/35).\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1106570520 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-5) - 1 - 0. Suppose 40 = 5*r - 3*r. Let l be r\/(-6)*(-4)\/(-10). Is j equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*16\/(-448)*6*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 196227281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24814684 to the power of 1\/2, to the nearest integer?\nAnswer: 4981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j - 8 - 3*j - 7*j**3 + 17*j + j**2 + 6*j**3 - 7*j as r + m*j**3 + a*j + p*j**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 56 - 62 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(1*6*(-1)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = f - 5*o, 43*f - 90*f = -48*f + 2*o + 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p**3 + 6*p**2 + 3*p. Let n(s) = -18*s**3 + 7*s**2 + 4*s. Let w(u) = 7*b(u) - 6*n(u). What is the second derivative of w(g) wrt g?\nAnswer: -66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2\/125 of a micrometer?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 73, 150, 227?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 83614\/104555 - -6\/20911. Suppose z + 1\/5*p**3 + 9\/5*p + 6\/5*p**2 = 0. Calculate p.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1782534.538 - 1785305. Let m = k - -2795.5. Let q = 25 - m. What is q rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 = 2*f - 3, -f - 5*m = -21. Sort f, -15, -4 in descending order.\nAnswer: f, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:17 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-14) + 34656\/(-133). Let h = a + 305. Calculate the highest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 96. Let b = 657\/2 - 279. What is the common denominator of (z\/2)\/(-1 + 8) and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*k + 11 = -1, -n = -4*k + 16. Let q = -25.6 + 22. Let j = q - 0.4. Which is the nearest to 0.1? (a) -0.4 (b) j (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 - 268. Let m be (4\/10)\/((-20)\/25)*y. Which is the second biggest value? (a) -0.5 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**3*s**2*u**3 + 163*h**3*s**2*u**2 + 4*h**2*s*u**3 + 4*h**2*s - h**2*u**3 + 16*s**2*u**2 wrt h.\nAnswer: -18*s**2*u**3 + 978*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14757170 and -958.\nAnswer: -14758128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/3598, 15, -0.5.\nAnswer: -0.5, 17\/3598, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*l**3 - 5 + 61*l**3 + 2*l**2 + 2*l + 116*l**3 to d*l**2 + p + w*l**3 + m*l and give w.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 4. Let s(u) = -8*u - 3. Let t be s(m). Suppose -b + 3*w + 28 + t = 0, 4*b + 2*w - 94 = 0. Solve 0*d - 4*d = 2*f - b, -d = -4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 5*n - 21, x + 4*x = 3*n + 25. Suppose 3*h + 5*k = 5*h - 1157, h + x*k - 583 = 0. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 167, 201, 269, 383, 555?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 8, 5 in decreasing order.\nAnswer: 8, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(54)\/(sqrt(36)\/sqrt(4))) + 1 + sqrt(1100) + 4.\nAnswer: 5 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 0.251?\nAnswer: -0.0251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q - 1 - 3*q - 3*q + 0*q. Let h be l(2). Let z = h + 15. Which is bigger: 2\/27 or z?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3267*q - 3254*q - 13 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from fffffffnz?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 522 by -2.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 114\/30)\/(8\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2110333 or -12661999\/6?\nAnswer: -12661999\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -46*o - 322. Let v be p(-7). Solve 4*j + 3 - 7 = v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694720 + 694720 - 246*r**3.\nAnswer: -246*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6889483 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/5, -2452, 1\/8, 0.05 in decreasing order.\nAnswer: 2, 1\/8, 0.05, -1\/5, -2452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 7*b**2 - 3*b - 3. Let l(f) = f**2 - 1. Let c(u) = k(u) - 4*l(u). Suppose c(z) = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.55 - -19.8. Round x to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85874 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, n: 2, t: 10}. What is prob of picking 2 u, 1 n, and 1 t?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*y - 379342 = -369448 for y.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 189984*f**4 + 2279812*f**3 + 9119280*f**2 + 12159168*f + 256.\nAnswer: 4*(f + 4)**3*(47496*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -2, 4\/5, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1733752km in micrometers?\nAnswer: 173375200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - t + 45. Let c be (1 - t) + 0\/(-1). Let m(s) = 8*s - 3. Let o be m(1). Calculate the greatest common divisor of c and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/21 - 2\/(-3). Let k(j) = -3*j + 10. Let o be k(t). What is the highest common factor of o and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -3*t**4\/8 - t**3\/6 - 7*t**2. What is the smallest common multiple of 8 and m(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -2 - (2 - 2). Let a(p) = 3*p - 1. Let q be a(n). Factor -j**2 - j - q*j + 4*j.\nAnswer: -j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 3. Let k be c(-5). Let a be -3 + 84\/16 + -2. Put a, k, 2\/3 in descending order.\nAnswer: k, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82979879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z - 59*z + 1994 + 22 = -1824 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-36)\/6)*9\/(-6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 141*k + 172. Let t be h(-34). Let p(r) = -r + 4. Let d be p(0). Which is smaller: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/((-130)\/945))\/(630\/(-360)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 - 2*m**3)*(-3*m - 4 + 4)*(60*m - 128*m - 43*m).\nAnswer: -666*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 320571.785 rounded to the nearest one thousand?\nAnswer: 321000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 1. Let c be y(-1). Suppose c - 21 = 2*k. What are the prime factors of (-1)\/(-1) + (1 - k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0071 - 12.0071. Suppose -r - 6 = r. Is r less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*u + 5*v + 10, 17 = -u - 3*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30050.32 centimeters to nanometers.\nAnswer: 300503200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - b**2 - b**2)*(-b**2 - 4*b**2 + 3*b**2) - 14*b**4 + 4*b + 35*b**4 - 18*b**4.\nAnswer: -b**4 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyiwyywwiiwwwiwhw. What is prob of picking 1 y and 2 i?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81 - q**2 + 38*q**3 + 162*q**3 + 110 wrt q?\nAnswer: 600*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6968*q - 209095. What is t(30)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-15))\/(4\/10). Suppose -3*t = -3*s + 51 - 66, 2*s + 3 = t. Sort 9, g, -2, s in decreasing order.\nAnswer: 9, g, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elv when three letters picked without replacement from kkyyyyllylyyve?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*a = -184*a + 341*a + 1032 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 1 + 32. Sort p, 1, 0.5, -4\/5.\nAnswer: -4\/5, 0.5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 1. Suppose 0 = f*p - 10*p + 11384. Suppose r = 3*b - p, 0*b - 954 = -2*b + 2*r. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 51 + -2 + 498 + -515?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 + (-1 - -4) + 2381*(-4 + 16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 138\/(-46) - 26\/(-24) and -27\/452.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - p - 16. Let y be j(-5). Let k = -15 + y. Which is greater: k or 21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 16. Let n be m + -4 - (-8)\/1. Suppose u = l - n, -l + 18 = -u + 3*u. Calculate the greatest common divisor of 80 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7574.55 to the nearest one hundred.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 52 = -3*o - 542, -3*k + 458 = 4*o. Suppose -k = 3*y - 13*y. What is the lowest common multiple of 12 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*j + 15, 2*q = 2*j - 0*j. Suppose m = 4*m. Sort m, q, -0.3 in descending order.\nAnswer: q, m, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -306 + 150. Suppose -4*x - 64 = 4*a, x - 7*a + 4*a + 16 = 0. Let o be (-4)\/x + u\/(-16). Solve -6*s + o = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572701*j + 400 = -572621*j. Let u be 1 + 4*(-1)\/(-2). Let y = -17 - -29. Solve 0 = -k - u, j*q - 3*k - y = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -933483 and -0.656.\nAnswer: -933483.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2009 = -5*p, 25 = -2*b + 41. What is the remainder when p is divided by 201?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/154 and 101\/3444?\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 (base 8) in base 4?\nAnswer: -10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**3 - 5*v. Let d(z) = -2*z**3 + 3*z. Give 5*d(g) + 3*l(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -4*i**2 - 11*i - 10. Let t be u(-2). Suppose 92 = 2*f + 2*f. Solve 4*g - t*a = -f - 8, 2*g = 5*a - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 30.53642 kilograms?\nAnswer: 30536420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 218.1 + -201.844. Round g to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by -2.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4 + 8*d**3 - 2*d**2 - 8*d = 0?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1075\/11439 + -1\/279. Let t = 22\/615 - j. Which is the smallest value? (a) -4 (b) t (c) 1.9 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 1 (c) -2 (d) -6\/61 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9153.6 - -9154. What is the second smallest value in 1\/48, w, -56?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -44*j - 78. Let d be l(-2). Put 2, 0, d in increasing order.\nAnswer: 0, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)*o\/o**(1\/6))\/(o\/((o**(-1\/3)\/o)\/o))**(-17\/3) assuming o is positive.\nAnswer: o**(1447\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(1008) - (-2 + sqrt(1008)))*-3 - (sqrt(700) + -4*(1 + sqrt(700))))**2*4 + 1).\nAnswer: -126085 + 2400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2680088, 10720334, 24120748, 42881330, 67002080?\nAnswer: 96482998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.04826*-9\nAnswer: 0.43434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 + 14*y - 5. Let l be i(4). Let o = l - -132. Calculate the remainder when 162 is divided by o.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 6:15 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/144 + 17135\/295020\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-88)\/154 - (1 + 421019\/(-7)). Suppose 0 = 52*t - 4*t - f. List the prime factors of t.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/21)*s**(-2)*(s\/(s*((s*s*s**(-6)*s)\/s)\/s)*s*s)\/s*s**(2\/11)\/s)**(7\/6) assuming s is positive.\nAnswer: s**(713\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**2\/2 + c + 2059. Let w(m) = -m. Calculate k(y) - 5*w(y).\nAnswer: 6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 11. Suppose -7*c + 3*c = f, 0 = -f. Let v(i) = c + 2*i - 1 - 6. Give -5*h(x) - 8*v(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*o + 69836 = 772*o + 1116*o - 15444 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 844267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17938 - 17936. What is the lowest common multiple of s and 410?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((1\/43)\/(5\/(-140)*-7))*1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -28.6. Let f = 0.5141 - 0.6141. What is the third smallest value in s, -5, f, 2\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43202 (base 5) to base 13.\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/86? (a) 1\/2 (b) -66 (c) 0 (d) -0.892\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 4*y - 836. Sort -5, 2, y.\nAnswer: -5, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15c7dd (base 16) to base 12\nAnswer: 58a079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybyyjxxbbiixjib. Give prob of sequence xibx.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.2662 nanograms to micrograms.\nAnswer: 0.6582662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/(-560))\/((-18)\/21)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -230*d**3 + 19 - d**2 - 82*d - 284*d**3 + 141*d - 39 wrt d.\nAnswer: -3084*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 64. Let r(j) be the second derivative of 0*j**s + 3*j - 1\/3*j**4 + 5\/21*j**7 - 4\/5*j**6 + 9\/10*j**5 + 0*j**3 + 0. Solve r(m) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -296 (c) -1 (d) -1\/2 (e) -119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -21 - 27. List the prime factors of 9*(-138)\/o*4.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 448 divided by -56\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 16) to base 13\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 52 and 3.2.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2189820 by -182485.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*6392252\nAnswer: 12784504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138849 or -138850?\nAnswer: -138849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 1833.\nAnswer: -5\/1833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 2\/725 (b) -0.9 (c) 31.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (4*sqrt(300) + sqrt(300)))\/sqrt(6))**2.\nAnswer: 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 4 = b, 5*b + 0*b = 2*g - 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(22)\/(sqrt(4)\/sqrt(2))*-4.\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a factor of 27426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9039 - 9032. Solve 0 = 5*j + 4*a - 40, 5*j + p*a = 11*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*o**6 - 18*o**3 + o**2 - 114*o + 3 wrt o.\nAnswer: 3840*o**3 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -137785850, -275571701, -413357552, -551143403, -688929254?\n\"Answer: -137785851*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 19240*h**2 - 18431680*h + 148687360.\nAnswer: -5*(h - 8)*(h + 1928)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 130060, 260081, 390102?\n\"Answer: 130021*h + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2320 + -441221?\nAnswer: -444041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = n - 379, o = 5*n - 2*n - 1165. What are the prime factors of n?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 4. Let z be p(5). Let q be 65 + 16\/z + 8\/24. Let r be (-66)\/(-4) + 1\/2. Calculate the greatest common factor of r and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Let h(p) = -3*p**2 - 4*p + 4. Let j(i) = 29*i - 32*i - 24*i**2 + 33 - 30*i. Determine q*j(t) - 33*h(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1239, -1238, -1281, -1392, -1595?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -147.1 + 147.4. What is the nearest to 2\/3 in 0.1, -0.06, z, 18?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124353433 - -2?\nAnswer: -124353431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -187, -458, -737, -1024, -1319, -1622?\nAnswer: -1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*q + q + 111, -d + 37 = 5*q. Sort 2, d, -1.\nAnswer: -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(121) - sqrt(121)*4*-2)\/(1*3*(sqrt(396) + sqrt(396) + sqrt(396) + (sqrt(396) - -2*sqrt(396) - sqrt(396)) + sqrt(396))).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5*c - 7*c + 4*c + 0*c.\nAnswer: -8*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57, -71, -69, -39, 31?\n\"Answer: 2*i**3 - 4*i**2 - 16*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687612?\nAnswer: 2, 3, 57301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -b + 3. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - g - 918. Let s(q) = -q**2. Determine j(s(i)).\nAnswer: -3*i**4 + i**2 - 918","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/2 - 2)\/((-28)\/(-112)). Solve -u*t - 2*t = 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5674224?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.1 + -5.3. What is the closest to 2 in -2\/5, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 114*v - 192*v + 83*v - l, 2*v = 3*l - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223007 is divided by 219814?\nAnswer: 3193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41.2 from 2.\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8779*f**6*l**2 - f**4*l**2 - 4*f**2*l + 35*f*l**2 - 2*l**2 - 73 wrt f.\nAnswer: -1053480*f**3*l**2 - 24*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y + y**2 + 5\/3*y**3 + 4. Find the second derivative of l(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -229823*q - 14 + 14 + 261960*q in the form s*q + g and give s.\nAnswer: 32137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 239*o*q**2 - 2*o*q - 16*o - q - 173 with respect to q.\nAnswer: 478*o*q - 2*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -87 + 53 + 66 - 154*p as a*p + u and give a.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 287946497 to the power of 1\/2, to the nearest integer?\nAnswer: 16969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132639318.\nAnswer: 2, 3, 7, 1052693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107627 divided by 13.\nAnswer: 8279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7659?\nAnswer: 3, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 2, b: 2}. Give prob of picking 2 t.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -290540 divided by 58108\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfii when four letters picked without replacement from jfiifqzjziqjjjqifz?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -5\/3 (b) 0.3 (c) 18 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18143458*h*j + 4647138*j wrt h?\nAnswer: 18143458*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 <= 623601\/1244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h**3 - 85*h**3 + 48*h**3.\nAnswer: -86*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 510881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/208*2 - ((-9)\/168)\/(1740\/(-4060))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 5*k**2 + 13*k + 17. Let o be j(-3). Let p(q) = q**2 - 9*q - 48. What is the least common multiple of 1*2 - (-2)\/(-2) and p(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(847) + -1*sqrt(847))*-5 + sqrt(847) + -2*sqrt(847) + -5)*2)**2.\nAnswer: 440*sqrt(7) + 3488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, v: 4}. Give prob of picking 3 c and 1 v.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 2*n + 4*x = 0, -w = x - 1. Let a(o) = 3*o - 8. Let s be a(6). What is the highest common divisor of s and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -564\/5395 + 21851\/151060. Calculate the common denominator of f and -157\/910.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17443 divided by 2.\nAnswer: -17443\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121.9 + -123. Let v = 3 - 3. Which is smaller: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001110 (base 3) to base 2.\nAnswer: -1100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29010 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.086022 + 0.009163. Let j = 113.923 + -114. Let u = t - j. Round u to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3)\/(-4) + 3. What is the tens digit of w\/6 + (-880)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 2*j. Let f(o) be the second derivative of 1\/12*o**4 - o - 2\/3*o**3 - 1\/2*o**2 + 0. What is f(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3325 - -3326. Which is the smallest value? (a) -26 (b) z (c) 4 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**7))\/u*u)\/u*u*(u\/u**(-4\/3)*u)\/u)\/(((u*u**(-3\/5)*u*u*u)\/u)\/u*u\/u**(-3\/5)) assuming u is positive.\nAnswer: u**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59611.93 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/84 - 26\/(-7). Solve -4*h - 4 = 2*y, -h + 3 = -q*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21955, -43980, -66055, -88168, -110307, -132460, -154615, -176760?\nAnswer: -198883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 24271 = -25084. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = -227 + 740 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 9*f - 14 = 9*f - 22*f + 5*f, -o = -5*f - 112 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9055 (base 12) to base 16\nAnswer: -3d01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.4, 0.03, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-5)\/100*10\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1096 - -2301. What are the prime factors of v?\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -5*o**2\/2 - 8*o - 3. Let t = -136 + 133. Calculate the remainder when 18 is divided by n(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26923 or 2?\nAnswer: -26923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 216 = -2*h. Suppose h + 509 = 5*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451*j**4*s - 466*j**4 + 351100*j**2*s + 2*j + 1 wrt j?\nAnswer: 10824*j*s - 11184*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 0. Suppose 4*r = 5*u - 26, 6*u - 3*u = -3*r - h. Find the third derivative of -j**2 - 7*j**4 + 7*j**u - j**2 wrt j.\nAnswer: -168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5929, -23721, -53373, -94885, -148257?\n\"Answer: -5930*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l + 0*l + 4*l**2 + 3*l + 6*l - l**2.\nAnswer: 3*l*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00223541288 to five decimal places.\nAnswer: 0.00224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.93923ms in hours?\nAnswer: 0.000238038675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 8*v**2 - 4*v - 3. Let q be r(0). What is the second smallest value in 1.5, 35, q?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173818?\nAnswer: 2, 233, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - g + 42. Does 14 divide s(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000116481421 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 48. Suppose -6*u + i*u - u = 0. Which is smaller: -1.5 or u?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46831 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2562 - -2604. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 12*p + 7. Suppose -2*l + 0*h + 12 = h, -2*l + 28*h + 70 = 0. Calculate g(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 8992\nAnswer: -1798.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-458 - -457) + 57 + 4 + -6 + 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33111289979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 3750184*f + 3750180.\nAnswer: 4*(f + 1)*(f + 937545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(14)\/sqrt(2)*6)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5*h + 14 = 0, -4*p - 3*h + 5*h = 10. Sort -2, 2, p in increasing order.\nAnswer: p, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-8))\/(4\/10). Suppose a*m = 305 + 35. Suppose -2*z - 2*z + m = 0. Calculate the remainder when 32 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43906, 87918, 132034, 176254, 220578?\nAnswer: 265006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.975?\nAnswer: -4.875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 3 - 3)*(1 + 1 + 0) - 2*k**2 - 7*k**2 + 16*k**2 + (-k - 12*k + 51*k)*(2*k - 1 + 9*k + 3).\nAnswer: 429*k**2 + 76*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-38 - (-26 + 2)) + (-1 + 2 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**5 + 32*y**4 - 60*y**3.\nAnswer: -4*y**3*(y - 5)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 59 = -x. Suppose 35*q - 72 = 29*q. Calculate the remainder when x is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-117)\/18)\/(423\/(-36))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072874?\nAnswer: 2, 11, 48767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*((10*b - 14 + 14)*(1 + 5 - 5) - 12 + 12 - 14*b) + (3 - 3 - 1)*(4 - 4 - b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48700262040 - 3.3.\nAnswer: 48700262036.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7022 - 3270545.\nAnswer: -3263523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + u - 157 = 0, -2*u - 25 = 3*u. Suppose 0 = w + 5*w - d. Suppose 0 = 4*n - 2*f - 378, 2*n + 3*f - 176 = w. List the prime factors of n.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = y - 5, 0 = -5*f - 3*y - 6 - 7. Is 47 a factor of (-24338)\/(-258) + (f\/6 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111884131 to the power of 1\/2, to the nearest integer?\nAnswer: 10578","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*a = -324*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 154 and 366?\nAnswer: 28182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.24103 - 0.12103. Which is the nearest to 1? (a) u (b) 2\/3 (c) -0.4 (d) -2\/279\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, -0.03, 16, -2, -1\/4 in increasing order.\nAnswer: -5, -2, -1\/4, -0.03, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -10\/7, -3876 in descending order.\nAnswer: 25, -10\/7, -3876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*j**4*n + 16*j**4 - 4*j**3*n + 104*j**3 + 636747*j**2*n + 8*j*n wrt j?\nAnswer: -1008*j*n + 384*j - 24*n + 624","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 63569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59423?\nAnswer: 7, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5484747.165 - -1.\nAnswer: -5484746.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*(-33)\/(-1716)*(-68)\/2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 1045302*y**2.\nAnswer: 3*y**2*(y - 348434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.2. Let i = 3 - -15. Suppose i = 3*h - 0*h. What is the closest to -1 in u, h, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149082385?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34360 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 3*z**5\/10 + z**4\/12 - z**3\/3 + z**2\/2 + 25*z. Is n(2) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 12:33 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*t + 11*t - 11*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 5*b + 2, 58 = -5*m + 2*b + 68 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*i = 3*d + 7, -3*d + 5*i + 1 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = 5*z, 0 = 5*z + 7*u - 8*u - 23. Let q = -0.16 - 0.04. Which is the nearest to 2? (a) q (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -116*o**4 + 109*o - 205180*o**2 + 205180*o**2 wrt o?\nAnswer: -1392*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857 + 1080 + 1375 - 3*f**2 - 274.\nAnswer: -3*f**2 + 3038","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1066181*c*j**3 - 5838*c*j - 2*c - 3*j**3 + 6*j - 1 wrt j.\nAnswer: -6397086*c*j - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*h + 4 = 226*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 8*g - 10*o + 40, -5*g - 32 = -12*o - 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*x**3 + 1025?\nAnswer: -207*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-44)\/(-4) + -40 + 44 + -35?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*m + 5*b, 33 = -b + 28. Calculate the remainder when 1440 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-68)*2)\/((-460)\/10 + 39866\/868).\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 12) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**2 - 4*c - 4. Let l be y(-3). Let g = 168 + l. Suppose 273 + 143 = 16*n. Calculate the remainder when g is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.26, -0.3, 106, -3, 4, 4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 19708 = -2*n - 19693, 0 = -38*m + 494 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 926*b = 1040*b - 130944 for b.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100908827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 631\/7 + -90. Is a greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 24 and 0.675.\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 10) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37325 + 16141?\nAnswer: 55466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, 82, 706, 2180, 4852, 9070, 15182?\nAnswer: 23536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -10676016.11?\nAnswer: -10676016.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 2*p**5\/195 + p**4\/52 - p**3\/39 - 2*p**2. Factor l(v).\nAnswer: 2*(v + 1)*(4*v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = -176*c - 1528 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560709 is divided by 186894?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 + -109\/2. Let u be (-4)\/(-6) + (-52)\/(-39). What is the closest to u in v, -5, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 634*x - 4 = 629*x, -4*x = -5*b + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1 - 4)\/(-1). Suppose -1 = h*a - 5. Suppose f - 8 = -0*f - 4*n, 4*f + a = n. Solve 4*p = -4 - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -576, 13\/3, -4\/7, -2\/5, -0.5 in ascending order.\nAnswer: -576, -4\/7, -0.5, -2\/5, 13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618183 is divided by 22074.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1 + sqrt(45))\/(sqrt(441)*-1).\nAnswer: 3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -526621 by -43.\nAnswer: 12247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -395*r**2 - 2*r - 136. Let k(v) = 1184*v**2 + 7*v + 410. Let y(z) = 7*g(z) + 2*k(z). Differentiate y(q) with respect to q.\nAnswer: -794*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105840 and 294.\nAnswer: 105840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-221)\/663)\/((-2)\/9*-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -35 + 27. Let k be -7 + (-1 + 0 - -4 - 0). Put k, t, -7 in decreasing order.\nAnswer: t, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjb when three letters picked without replacement from dbbbbbedbbbbbejdbbb?\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by -11*-3*2\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/5 of a millennium?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 22*q**2 + 33*q - 44. Let j be m(21). Suppose 4*n + u - j = -0*u, 0 = -3*u. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*l + 72, -49 + 198 = 5*n + 3*l. Suppose 3*w - 2*f - 42 = 0, 0*w - 2*w = 4*f - n. Suppose 20 = 2*g - w. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 4*r - 34, -2*l + 11 = -0*l - r. Solve l + 12 = -a + 5*k, 0 = -3*a - 3*k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 8:13 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -8\/7 (c) 2\/9 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12 + -4*4\/(-8). Suppose -179 = -5*n - q, -n - 2*n - 3*q = -117. Calculate the greatest common factor of p and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 x, and 1 u when three letters picked without replacement from momuxuvb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c - 3 = -4*u, 2*c + 15 = 3*u. Suppose -3*d - 5 = 4*y + y, 3*d = -u*y - 9. Solve o = -y*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -1433637?\nAnswer: 1433628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 44*d**3 - 4*d**2 - 4*d + 10. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -j - h + 8, -4*h = -j - 2. Let x = 4053 + -4053.3. Which is the nearest to -2\/7? (a) j (b) 4 (c) 5\/3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5820 is divided by 182.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -40, -42, -44, -46, -48?\n\"Answer: -2*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26429220?\nAnswer: 2, 3, 5, 17, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 143 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1637 divide 4636131382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b - -18?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7851848 to the nearest ten thousand.\nAnswer: -7850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45063528 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - w**3 + 5*w**3 + (4 - 4 - 2*w)*(-2*w**2 - 4 + 4) + 2*w**3 - 4*w**3 + 4*w**3 + 1544*w + 2 - 1546*w - 6*w**3 + 52*w**3.\nAnswer: 56*w**3 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 7*q**2 + 26*q + 83. Let c(k) = k**2 + k + 7. Let x(i) = 8*c(i) - v(i). Give x(21).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1196.688066 - -7329.7.\nAnswer: 8526.388066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 402, -13, 9, -363, -5, 2 in increasing order.\nAnswer: -363, -13, -5, 2, 9, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2*x - x)*(-1 - 1 + 1)*(-5 + 3 - 1)*(24*x - 47*x - 27*x).\nAnswer: -600*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/181 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 35 = -2*h, -3*h + 19*s + 39 = 22*s. Solve -5*b + h = -5*f, -5*f + 0 - 13 = -4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*p - 13869 + 9144. What is the remainder when 1605 is divided by p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-18) + 80016\/27 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**3 - 4*q**2 - 2*q + 2. Let n be w(-2). Solve 5*v = 3*c - 6*c - n, -5 = 2*v + 5*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -30, -51, -90, -153, -246, -375?\n\"Answer: -x**3 - 2*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**6\/45 + s**5\/15 - s**4\/18 - 2*s**3\/9 - 2*s + 3. Factor y(k).\nAnswer: 2*k*(k - 1)*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 13, t: 2, f: 1}. Give prob of sequence nfn.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 8 = 32. Let d(x) be the third derivative of -2\/3*x**3 + 0*x + 1\/120*x**6 + 13*x**h + 5\/24*x**4 + 1\/12*x**5 + 0. Calculate d(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) -31\/4 (b) 158 (c) -0.2 (d) -4 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.564588 to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29146 and 35549?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2093859.56 rounded to the nearest one thousand?\nAnswer: -2094000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -128.2 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -829.7 take away -1.25852518?\nAnswer: -828.44147482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-421)\/(-10525))\/(2\/(-30)*33\/(-11))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -109562.\nAnswer: -5\/54781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -809380, 5, 21, 0.\nAnswer: -809380, -5, 0, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 10*d + 18. Let c be g(-8). Let z**c + 0 - 1\/2*z**3 - 1\/2*z = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6729 (base 12) to base 10\nAnswer: 11409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*y - 2*y**2 - 12 + 47*y + 39*y.\nAnswer: -2*y**2 - 5*y - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uovdddj. Give prob of sequence ju.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 = -2*r - 0, -r = -1. Suppose -5*w - 14 = a*v + 6, 0 = 4*v - w - 4. Suppose 3*n + f + f - 36 = v, -n + 13 = f. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6832 divided by -56?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20.391021503 - 20.391. Round w to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4432 - 87?\nAnswer: -44b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(5)*1))\/((sqrt(16) - sqrt(16)*3)\/sqrt(8)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 26209*o - 7631136.\nAnswer: (o - 288)*(o + 26497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.49? (a) 2\/7 (b) -0.3 (c) -54 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**4\/5 - 248*f**3\/5 + 4*f**2\/5 + 248*f\/5 = 0.\nAnswer: -62, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/(-253)*11*-19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8487 and 3.\nAnswer: -8484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297509 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 12 + 5 + -1 + -6 + 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w - 4. Let a(g) = g**3 + 3*g**2 - 5*g - 3. Let j be (0 - (-7 - -1))\/(-2). What is the lowest common multiple of a(j) and r(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*n - 26 - 454. Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*k = -2*x + 19, 0 = -k + 3*x - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:54 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -53.54. Let p = 0.7 - g. Let s = -0.04 + p. Which is the biggest value? (a) s (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/13 + 3240\/(-8190). What is the closest to o in -37\/5, -2\/5, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27\/12 + 2\/(-8). Suppose 39*g - 80 = 41*g. Let i = 44 + g. Solve 4*b = i*v - 15 - 1, -5*b - c*v = 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2 - 14) + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -267154.85\nAnswer: 21372.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 283 divided by -3.\nAnswer: -283\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/5077?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**3 + 434*k**2 - 869*k**2 + 0*k**3 + k**3 + 421*k**2 = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 8, y: 1, h: 6}. What is prob of sequence rx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 1. Let i(s) = s**2 + 4*s - 6. Give -3*g(m) - i(m).\nAnswer: -m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**7\/105 - k**6\/30 + k**4\/6 + k**3\/3 + 19*k**2 + 2*k. Let l(d) be the first derivative of y(d). Factor l(n).\nAnswer: -2*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202222 (base 3) to base 2\nAnswer: -1000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1243 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 1, a: 6}. What is prob of sequence dna?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, 0.1, 0.5, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1542\/105 + -6 - 17\/(476\/8) and (-8)\/(-106)*(-78)\/12.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 (base 5) to base 12\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**7\/42 + 2*j**6\/3 - 73*j**5\/12 + 75*j**4\/4 + 3565*j**2. Factor i(h).\nAnswer: -5*h*(h - 9)*(h - 5)*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 + w + 1. Determine d(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = -5*c, 4*c = 5*p - 5. Suppose 4*o - 3 = -p*x, 3*x - 6 = -o - 0. Is ((-2182)\/(-6))\/(o\/(-9)) - 4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2470)\/(-209) + (-2)\/(-11). What is the greatest common divisor of 16 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 5*b = 4, -8*b + 11*b = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**3\/12 + x**2\/8 + 54. Factor g(l).\nAnswer: -l*(l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116776391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m + 533 = -588. What is the remainder when 100 is divided by m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -56, 4, 4\/281, -0.1, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 12*v. Suppose 5*b + 5*h = 115, v = -3*b + 5*h + 45 - 16. What is the lowest common multiple of (15 - 2) + 0 + 1 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:08 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:12 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -327346 (base 8) in base 2?\nAnswer: -11010111011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22.6 + -23. Let f be (-2)\/3*1\/1. Which is the third smallest value? (a) 4 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232734 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**4 + 2*i**4 - 7*i**4)*(2*i - 2*i + i + (-1 - 1 + 4)*(2*i - 4*i + 3*i)).\nAnswer: -33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 19 = 4*r - 0*g, 5*r = 4*g - 26. Let y be r\/(-9)*36\/8. Let h be 4\/(y\/((-6)\/(-4))). Let m(b) = -b**3 + b + 1. Give m(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32139 - 3939. Suppose -6*o = -9*o - h. What is o rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/20 - 5*d**4\/3 + d**3\/6 - 17*d**2\/2 - d. Let b be h(20). Solve 2*t - 2 = -0*t - b*q, 2*t + 5*q = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*k**5\/5 + 482*k**4\/5 - 1362*k**3\/5 + 1474*k**2\/5 - 130*k + 84\/5 = 0. What is k?\nAnswer: 3\/14, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5439 + 10742 = 11*a. What are the prime factors of a?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15*l**2 - 17 + 24*l**2 + 27 + 0*l**3 + l**3. Let u be v(0). Calculate the highest common factor of u and 620.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/4388 and 89\/18?\nAnswer: 39492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*o + 142 + 56 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, r: 1, x: 2, o: 4, i: 1}. Give prob of picking 1 t and 1 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5641054, -5641033, -5640996, -5640937, -5640850?\nAnswer: -5640729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-33)\/6)*82\/(-123). Solve z*c + 7 = v, -2 + 8 = -3*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x. Let v(s) = 14 - 75 - 700*s + 42 + 8 + 9. Calculate v(j(r)).\nAnswer: 2100*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 364*s**5\/5 - 205*s**3 - 1321. What is the third derivative of t(q) wrt q?\nAnswer: 8736*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 - 7*n + 8. Let k(p) = -3*p**2 - 39*p - 119. Let t be k(-7). Determine m(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529 - 89 = -266*b + 712 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181815 is divided by 60603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.8 and -0.5224079.\nAnswer: -1.46274212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21960 and 68967576?\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542643 and 2338393?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - -2 - (-17 - -22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j - 63 = 0. Let c(a) = -9*a + 2. Calculate the remainder when j is divided by c(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75601?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 7*j + 8. Let z be k(5). What are the prime factors of (2\/6)\/(6*z\/(-360))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178.37 - 14\nAnswer: 164.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 13) to base 12\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4741 is divided by 4716.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {a: 3, h: 4, l: 6}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 435889146 to the nearest integer?\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/((o*o*o**(-4))\/o))*o**(-13)*o*(o*o**(2\/3)*o)\/(o\/(o\/(o*o**(-8\/3)))) assuming o is positive.\nAnswer: o**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2135230 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 5:19 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 62*x**3 - 5*x**2 - 56*x + 211. Is o(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49817604?\nAnswer: 2, 3, 4151467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*f = -31, 5*x - 15 = 2*x - 3*f. Let b(c) = c + 3. Let z be b(x). Let s = 5 + z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -17, -7, 5, 19, 35, 53?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o - 2. Suppose 40*b = 13*b - 162. Give g(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwwwiwwwwwwwww. Give prob of picking 4 w.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 - 12*v**3 + 101*v**2 - 48*v - 36 = 0. Calculate v.\nAnswer: -6, -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 700098 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybyb when four letters picked without replacement from {y: 10, b: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6 and (-12)\/9 - 674\/(-240).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1395300 to the nearest 10000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25768.66 litres to millilitres.\nAnswer: 25768660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 9. Let h be f(6). Suppose -h*i = -6*i + 12. Suppose -i*l - 4*m + 80 = 0, 0*l + 68 = 4*l + m. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 136*j**2 - 291*j - 1932. Determine u(-138).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(24\/(-1080)). Find the common denominator of -2 + -9*(-9)\/(-4) and 10\/h + -2 + 170\/(-132).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(52) + -1)*-2 + 5 + -1 + sqrt(208) + sqrt(208) + 5)**2.\nAnswer: -352*sqrt(13) + 3449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 99, 223, 425, 699, 1039, 1439?\n\"Answer: -g**3 + 45*g**2 - 4*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2)\/(2\/(-12)). Let k(c) be the first derivative of c + 7. Let i(d) = d - 5. Determine r*k(h) + i(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k + 1. Let y be v(4). Let p be y\/15*(-1 - 2). Suppose -5*w + 0 = 3*g - p, 4*w + 6 = 5*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -56.75.\nAnswer: -113.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.1 - 19.1. Suppose 5*h = 2*h - 21. Let c be 16\/(-24) - h\/6. What is the fourth smallest value in 1\/5, x, c, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 173 (b) -1455 (c) -2\/17 (d) -2 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4993, -4992, -4991, -4990, -4989, -4988?\n\"Answer: l - 4994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 70*g + 8. Let o(d) = d**2 - 69*d + 7. What is 5*c(j) - 6*o(j)?\nAnswer: -j**2 + 64*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -22, -11, 8, 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 1, n: 1, g: 3, k: 1}. What is prob of sequence ng?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*d - 50*d + 168 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*t + 431 = j, 2*t - 96*j + 99*j + 2 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5296, -42208, -142396, -337498, -659152, -1138996, -1808668?\nAnswer: -2699806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, y: 3, i: 9, a: 5}. What is prob of sequence iy?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**3 + s**2 - s**2)*((-3*s - 2*s + 2*s)*(0*s - s + 0*s) + 2*s**2 + s**2 - 4*s**2).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -35, -49, -67, -89, -115?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 9*r + 19. Let m be k(-8). Suppose 0 = m*d - 10 - 45. Is 7\/175*d - (-274)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1259*s**3 + 5*s**2 + 10*s + 654. Let w(c) = -1247*c**3 + 4*c**2 + 8*c + 655. Let m(f) = 4*u(f) - 5*w(f). Find the first derivative of m(t) wrt t.\nAnswer: 3597*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/4*2\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 2. Suppose 5*u - j*n - 8 + 29 = 0, -u - 4*n = -9. Is (195\/20)\/(u\/(-8)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 5*v. Let t be j(4). Let n be (-3)\/(t\/208) - 3. Suppose n + 31 = 2*l. Solve 3*g + 15 = 0, 2*a + 2*a + 4*g = -l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + -8 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58747, -117473, -176199?\n\"Answer: -58726*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (6*(-3 + 5*((sqrt(288) + 0)*4 - (-1*sqrt(288)*1 - sqrt(288) - sqrt(288)))))**2).\nAnswer: -272160*sqrt(2) + 38103384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426888854 divided by 60984122.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395 divided by -2.\nAnswer: 395\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f - 4. Let q be j(-5). Let s = 356 + -235. Calculate the highest common divisor of s and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140764, 281459, 421990, 562273, 702224, 841759?\nAnswer: 980794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165 + 2*x - 165)*(0*x + 0*x + 3*x)*(0 + 0 + 3).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v**2 - 140*v - 74 + 5*v**3 + 0*v**3 - 48 + 22 = 0. What is v?\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/9, -1.9154, 0.5, 3, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4321192 and -4.4.\nAnswer: -19013244.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 36. Suppose 6*d + 0*d = -4*d. Let w be f(d). Does 18 divide (w\/(-30))\/((-2)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 44001 = 19*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:34 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -3, -0.14 in ascending order.\nAnswer: -3, -0.14, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -20. Suppose h = 5*d - 15. Sort d, 5, 2 in descending order.\nAnswer: 5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5 - 3 - 3*w**2 + 8 - w - 2. Is 25 a factor of j(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 2*f**2 + 0*f**2)*((f - f - f)*(-4 + 27 - 8) + 31 - 31 - 13*f).\nAnswer: -56*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 66115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(18\/5))**(6\/5)*(i**24*i)\/i**(-3\/10) assuming i is positive.\nAnswer: i**(1481\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 43927.\nAnswer: 160\/43927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5230 + -15557\/3. Let p = 44 - u. Which is smaller: 0.04 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 - 5*c + 9. Let i be j(-6). What is the smallest common multiple of (8 - 9) + i*1 and -2 + (4 - 0)*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {o: 1, z: 9, r: 1, y: 5, m: 1, t: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 2:53 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -41, -1 in ascending order.\nAnswer: -41, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -1\/3 (c) 0.9 (d) 10 (e) 0.22 (f) 24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s, -2*l = l - 2*s. Suppose x + 3*x = -5*c + 28, -40 = -5*x - 5*c. Let b = x - 4. Calculate the greatest common factor of b and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 1 - (-2 + -1). Is 262*s\/18*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -26, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 25 + 9 = -z, 2*o = -z - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - j + 7*j**3 + 0*j.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, v: 5}. Give prob of sequence vrvv.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**3\/6 + 7*k\/6 - 1 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 8*c**2 + 3*c + 9. Calculate z(8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -4\/41 (c) -310\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**4\/4 + 2*c**3 - 2*c**2 + 5*c + 3. Let y be g(5). Suppose 34 = 4*x - y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + sqrt(5) + 3.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.4901 to zero dps.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -705?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/8)\/p**4*(p\/(p\/(p*p\/(p**12*p))))\/p*p**(1\/5)\/p assuming p is positive.\nAnswer: p**(-667\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 361659 and 1446636.\nAnswer: 1446636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667 + 325 = -166*d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -162*j + 146*j - 113 - 63 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n**2 - n - 4. Let h(o) be the second derivative of -4*o**4\/3 - o**3\/3 - 9*o**2\/2 - 5716*o. Calculate -6*h(c) + 14*i(c).\nAnswer: -16*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57.94 + -62. Let h = 4 + b. Is h greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75582 and 450534.\nAnswer: 333845694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -85430, -85456, -85482, -85508, -85534, -85560?\n\"Answer: -26*s - 85404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 + 101.94. What is the second smallest value in 0.14, l, -2\/21?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2*(2 + sqrt(3)) - (sqrt(3)*2 + 5)) + 2.\nAnswer: -7 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = a, 5*l + 4*a = 7. Let r be 4 + l + -1 - 1. Let p be (-2)\/(-4)*(0 - 2). Sort 4, p, r in descending order.\nAnswer: 4, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 3*l - l)*(432*l - 22 - 205*l - 6*l**2 - 226*l).\nAnswer: -18*l**3 + 3*l**2 - 66*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bob when three letters picked without replacement from obbb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:30 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 215 - 849\/4. Suppose -2*g + 12 = -3*b, -4*b - 20 = -3*g + b. Suppose 4*l + 10 = 4*o + 2*l, g = 2*o + 5*l - 11. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - ((-20 - -4) + -34).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*w + 11 = -10, 2*w = -a + 9. What is the derivative of 8984*t**2 + 69*t**4 - t**3 + 176 - 8984*t**2 + t**a wrt t?\nAnswer: 276*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 30\/40*104) + 52*(-8)\/32\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**5\/30 - 17*k**4\/18 + 31*k**3\/9 - 5*k**2 + 28*k. Let x(w) = 0. Calculate w.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - o + 8 = 0, 100 = 8*k + 58*o - 62*o for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*w + m + 30, 0*w = -w - 5*m + 7364 - 7337 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.62 + -0.32. Let m = 2.2964 - u. What is m rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 41*u + 1467. Let o be p(64). Which is the second smallest value? (a) 0.1 (b) 0.8 (c) 54 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25667 - 359*h**2 - 25667 as i + q*h + b*h**2 and give b.\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*b - 1 = 0, 5*p - 3 = -3*b + 112. Let d = p + -18. Calculate the greatest common factor of 20 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000433096 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times 3?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(140\/208))\/(108\/135)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -4.2. What is the nearest to m in 2\/13, 3, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-30))\/1*(-35)\/6\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -23. Let c = -5 + n. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/11))**(-3\/8) assuming g is positive.\nAnswer: g**(3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 1176496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p + 0 - 17*p**2 + 1\/60*p**5 + 0*p**4 + 0*p**3. Let q(k) = -25*k**2. Calculate z(q(x)).\nAnswer: 625*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 938 - 2604*c - 307 + 3389*c wrt c.\nAnswer: 785","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4744 - 3.3744. Which is the nearest to -6\/5? (a) 1\/12 (b) s (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4420.476 micrometers to millimeters.\nAnswer: 4.420476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.207724 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/3 - (6 - 17)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047627 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/523981 and -71\/6528896?\nAnswer: 737765248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r - 1 + 6*r**2 - 6*r - 8*r**2 + 10*r to i*r + f*r**2 + h and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/33 and 121\/13062?\nAnswer: 143682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-6 - (-9 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114024816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2683931 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 + 11*u - 7. Let z(y) = y**2 - y. Let w(n) = m(n) + 6*z(n). What is the tens digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19\/50 (b) 2 (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 17 - 4) + 9 - -23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14948385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-112)\/25760*46*-255?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -62.164, -2, 13\/2 in ascending order.\nAnswer: -62.164, -5, -2, 2, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxz when three letters picked without replacement from uuzxxz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9411955?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 77 + -67. Suppose 2*j + 9 = 5*h, 11 = 3*j + 4*h - u. Factor -5\/2*l + 1\/2*l**j - 1\/2*l**4 + 3\/2*l**2 + 1.\nAnswer: -(l - 1)**3*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 125 + -225. Let m be (-1)\/4 + 15\/o. Is m greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(16*i + 8*i**2 - 16*i + (-3*i + 3*i - i)*(-2 + 2 + 2*i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268488 = -4*g + 4*n, -2298*n + 2297*n = -9. What is the ten thousands digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:07 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126452 by -953.\nAnswer: 126452\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-5) - 1566\/(-2610).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/4, 0.3, -2\/55, -0.05?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**6\/15 + 56*g**5\/25 - 99*g**4\/10 + 136*g**3\/15 + 20*g**2 - 192*g\/5 + 3878. Let b(h) = 0. Calculate h.\nAnswer: -1, 1, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63505?\nAnswer: 5, 13, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**5 + 39154*i**4 + 313328*i**3 + 626720*i**2 = 0.\nAnswer: -4, 0, 19585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7) + (-232)\/(-28). Let g = 12 - s. Suppose 23 = p + g*i, 5*p - 2*p = -5*i + 55. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -569800 + -1915200. Round c to the nearest ten thousand.\nAnswer: -2490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1263.623 centuries?\nAnswer: 126.3623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -u + 5*j, -2*u - 6 + 18 = 3*j. List the prime factors of (8 + -1 + u)*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**4 + t**2 + 3*t. Let g(s) = 5*s**4 - 133*s**3 - 6*s**2 - 18*s - 137. Let h(u) = -g(u) - 6*k(u). What is the derivative of h(x) wrt x?\nAnswer: 4*x**3 + 399*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850127 and 1512034.\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 133144730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -5*z + 540. Suppose -5*l + z = 13. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Suppose 3*o = l*q - 3, 3*o - 5*q = o + 3. Let y(m) = m**3 + 8*m**2 + 2*m + 9. Does 12 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-121)\/(-968))\/(18\/(-8)))\/((-1)\/18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877638.\nAnswer: 2, 7, 43, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.1 + -34.46. Let s = h - -19.4. Sort 2\/9, s, 2.\nAnswer: s, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -37*o + 12*o**3 - 13*o**3 + 81*o - 44*o + 20*o**2 - 9. Calculate v(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5*w, 5*w - 3*w = s - 2. Let g be w\/3 - (-24)\/9. Let q(x) = 15*x - 1. Calculate the remainder when q(g) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2. Let m(q) = 25*q**2 - 10*q + 3. Determine m(d(t)).\nAnswer: 100*t**4 - 20*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + ((-1)\/2)\/(-4*12\/864). Solve 0 = -4*k + 8, -u*b + 2 = -6*b - 2*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, n: 3}. What is prob of picking 1 n and 2 d?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*j**2*t**2*x - j*t**2*x + j + 101*t**2 wrt j.\nAnswer: 238*t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -2*g**2 + 1\/12*g**4 + 0 - 1\/15*g**5 + 1\/3*g**3 + 0*g. Suppose q(f) = 0. What is f?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -92903 or -92904?\nAnswer: -92903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2183f (base 16) to base 2\nAnswer: 100001100000111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2779399 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6 + 24\/((-1296)\/(-266130)). Calculate the greatest common factor of n and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1146 = 4*u, -4*n + 2*u + 1129 = 211. Let b = 237 - n. Suppose 24 = 2*w + 4*f, 2*f + 26 + 52 = 4*w. Calculate the remainder when w is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**5 + 82*l**4 - 1440*l**3 + 7178*l**2 + 1441*l - 7260 = 0?\nAnswer: -1, 1, 11, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1634 - 2?\nAnswer: -1636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 31*x - 872. Give m(56).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6905309363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7117*f - 8282 wrt f.\nAnswer: -7117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282265?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -123111213130?\nAnswer: 123111213122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -6, 2 in descending order.\nAnswer: 2, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 5 + 2 + 13)*(-7*p - 55*p + 14*p).\nAnswer: -1152*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.9 from 981283850.\nAnswer: 981283852.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3483644276?\nAnswer: 2, 7, 37, 3362591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -181576?\nAnswer: 181569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*h = 2*x + 366, 3*h - 6 = 0. Let v = 191 + x. Which is the closest to -4? (a) 4 (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-423)*(-5)\/(-100))\/((-4)\/(-80)*10).\nAnswer: -2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 57506201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 13. Let y be v(11). Let i(p) = p**3 - p**2 - p - 1. Let m be i(y). Solve z + 5*u - m = -6, -z - 3*u - 1 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 12. Let r be k(-5). Let w = -77 - -112. Let x be 21\/w + 8\/20. Solve 3*q + 5*h = 5, q = -3*h + x + r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30*(-10)\/(-20) - -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3245642 (base 7) to base 10\nAnswer: 398204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-9)\/1*203\/(-23751))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 0 - 1\/21*z**7 - 2\/3*z**3 - 9*z + 0*z**2 + 0*z**4 + 0*z**6 + 0*z**5. What is the second derivative of t(a) wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*f = -9 + 39, -2*f + 19 = 3*a. Let y(g) = 8*g**2 - g - 5. Let x be y(-2). Let z = -23 + x. Calculate the remainder when a is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2529? (a) 0.3 (b) -0.3 (c) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 14. Suppose -5*u = -m + 2*m - 25, -15 = p*u. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*w - 2142 = 258*w - 140*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 2*m + 5*m)*(-20*m + 23*m + 3 + 7).\nAnswer: 3*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -73 (b) 2 (c) 40.8 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 - 2*u + 2. Let r(z) be the second derivative of -539*z**4\/12 + 121*z**3\/6 - 121*z**2\/2 - 581*z. Determine 4*r(x) + 242*y(x).\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81168 divided by -19.\nAnswer: -4272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 195797, 391575, 587353, 783131, 978909, 1174687?\n\"Answer: 195778*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 13*n + 102. Let f be o(-8). Let t(s) = -s**3 - 3*s**2 + s. Give t(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 12. Let j be n(12). Suppose j = 2*v - 30 + 6. Calculate the least common multiple of 20 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*v = 40, -3*b + 69 - 25 = 5*v. Suppose b*y - 109 = 291. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -17 - 1) + 36 + (16 - 47)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-37191)\/(-14))\/(-11))\/((-3)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30*(5\/2 - 2 - 2). What is the common denominator of (-1)\/(-110*(z\/10 - -4)) and -44\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k - 1083 + 75. Let d = k - -118. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.24 + -6.24. What is the nearest to 0.1 in m, -1, -1\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 770552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 + -97. Let z = p - 41. What is the second smallest value in z, 2, -0.5, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -764, 3\/59, -25, 1, 2 in descending order.\nAnswer: 2, 1, 0.2, 3\/59, -25, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 8?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 125085071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a - 2. Let u(b) = -b**2 - 1. Let g(p) = -3*p**2 - 49*p + 150. Let f be g(-19). Give f*u(m) + 3*h(m).\nAnswer: -m**2 - 3*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -25 + 8 - m + 7 + 1 + 7. Let o = -3 + 11. Suppose h + 4*h + 5*a = 20, 2*h - o = -a. Give l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7589 * 2.8.\nAnswer: -21249.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 7 = 4*u. Let m = 2\/1079 - -2112\/24817. Which is smaller: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 1959*n**3 + 397089*n**2 + 17769213*n - 1479166920.\nAnswer: 3*(n - 40)*(n + 231)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*q**3 - 5*f**2*q**2 + 28*f**2*q - 145*f*q**3 + 2*f - 124*q wrt q.\nAnswer: -6*f**2*q - 10*f**2 - 870*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-30)*27*(-118)\/(-177).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riw when three letters picked without replacement from {i: 5, h: 2, w: 1, b: 6, r: 2}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 26. Let a(b) be the first derivative of b**4\/4 + b**3\/3 + 5*b**2\/2 - 5*b - 58. What is the remainder when l is divided by a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p + 103. Calculate l(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23220 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**3 - 2*u**3 + 5*u**3)*(16*u + 41*u - 24*u) to the form x*u**3 + a*u**4 + j + o*u**2 + b*u and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 20*a**4 + 5*a**3 + 6*a**2 - 5*a + 5. Let d(m) = m**4 - m**3 - m**2 + m - 1. Let h(b) = 5*d(b) + f(b). Find the third derivative of h(j) wrt j.\nAnswer: 600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 745 = -97*k + 3479 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -61. Let v be (16\/28 - 1)\/(0 - u). Sort -0.1, 2\/11, v in ascending order.\nAnswer: -0.1, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 24. Let q(t) = -2*t + t - t. Give q(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 6, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*b - 37 - 43, 25 = 5*b. Suppose 4*q = 9*q + 150. What is the lowest common multiple of 42 and q\/12*(-72)\/z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 2006219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -23 + 4 + 2 + -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 35*q + 50*q - 189*q + 49*q + 35*q.\nAnswer: -20*q + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 4:11 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -y + 3*u, 43*y - 39*y - 26 = u for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3198 = 3*a + 945. Suppose 0 = 5*i - 134 - a. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-119 - -59) - (30 - -6)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1103 + 1097. Let a = 0.1 - 0.3. Put a, -0.5, l, 1\/3 in descending order.\nAnswer: 1\/3, a, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*r - 5*l, 4*r - 17 = l - 4*l. Let w be 34*-2*r\/(-8). Calculate the greatest common divisor of w and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -17. Let m(b) be the third derivative of 0*b - 1\/12*b**4 + 2*b**2 + 1\/6*b**3 + a. Calculate m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -2\/7 (c) -1.7 (d) 2 (e) 1267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4438.6 - 3353. What is n rounded to the nearest ten?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5\/8 - 59*j**4\/8 - 121*j**3\/8 + 251*j**2\/8 - 17*j\/2 = 0.\nAnswer: -17, -4, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 4\/((-16)\/7). Put d, -3\/7, 2\/57 in increasing order.\nAnswer: -3\/7, 2\/57, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33866.79 - 33707. Let w = k - 161. Let n = -1.21000138 - w. What is n rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-29)\/2 - -7)\/((-2)\/(-12)). What is the common denominator of (-9)\/(-324)*5\/(i\/654) and -101\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 1:16 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1171, -3, -0.1, 4 in ascending order.\nAnswer: -1171, -3, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 1, p: 2, c: 1, i: 1}. What is prob of sequence bc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-4) - 0)\/(-1). Let d(c) = 57*c**2 + 1. Is d(n) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-315) + (-2)\/(-15)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 - 458994342*k + 458994342*k.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 28*n - 7. Let o = -70 - -85. Does 5 divide a(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 36 = -3*g + 3, 2*a = -g + 19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*p + 8*p + 253, -5*b = -5*p - 635. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:28 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*s**3 - 22*s**3 - 31*s**3 - 5*s**3.\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3554*x + 3646*x = -126168800. What is x rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - s. Suppose -4*q - q + 11 = 3*z, q + 2*z - 5 = 0. Let i(y) = 4*y + 1 + y**2 + 0*y - 4*y. Let d = 88 + -89. Give d*i(c) + q*h(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*(sqrt(12) + sqrt(3)) - (sqrt(3) - (1 + sqrt(3)))*3)**2 - (sqrt(216) + 2*sqrt(216))\/(6*(sqrt(8) + sqrt(16)\/sqrt(2) - sqrt(8))).\nAnswer: 33*sqrt(3)\/2 + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 94. Let t = 8 - 3. Suppose -n - 48 = -t*b, -7 = 2*n - 1. Is b < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/12 - 7497\/(-756). Suppose 0 = 5*x - z + 5. Is x less than -1\/206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10b94 (base 12) to base 6\nAnswer: 251504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 264128791 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 7 + 25. Suppose j = 2*l, l = -4*h - 4*l + 80. What is the greatest common factor of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -629, -665, -701, -737?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**3 - 5*h**2 - 5*h + 51. Let f(c) = -6*c**3 + 4*c**2 + 4*c - 51. What is -5*f(y) - 4*t(y)?\nAnswer: 2*y**3 + 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31127 - -2?\nAnswer: 31131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 1, 19, 12 in ascending order.\nAnswer: 1, 4, 12, 16, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432903935 is divided by 2434.\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + 2*c**3 - 4*c**3)*(1 - 1 - 1)*(241*c + 2578 - 2578).\nAnswer: -482*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4\/3 - 118*n**3\/3 - 60*n**2 + 118*n\/3 + 175\/3 = 0.\nAnswer: -7\/5, -1, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121338.21901 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*(3 + -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-651)\/42 - (11 - 3))*2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 12:45 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -12*l**2. Let w(f) = 119*f**2. Let a(k) = 5*w(k) + 49*z(k). Let b(m) = m + 6*m - 4*m - 2*m. What is b(a(o))?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + (-266)\/44 - -1 and 22 + (-60)\/(-1386)*14724\/(-30).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 783818896 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)\/(2\/(-4)) + 1. Let u(v) = -v**3 + 43*v**2 + 42*v + 95. Let z be u(44). Solve 0 = -2*l - k - z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 7. Let i = -1 - 1. Let m = 0.8 + -5.8. What is the nearest to -1\/3 in b, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 3*n + 12, -3*n + 0 = -3*z - 9. What are the prime factors of z + (169 - 3)*1 + 4?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 12 = 5*d + 9, 3*j - 12 = 2*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b = 12. Let l = b - 4. What is the second derivative of 0*i + l*i + i**5 - i wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/36*-39 - -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 6*v - 260. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 + j + 2. Let u be v(-3). Let k be (0 + -1)*u*22. Calculate the remainder when 25 is divided by (-3)\/(-6)*k - 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q + q - q - 1. Is 2 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(200) - (sqrt(4)*-1)\/sqrt(2))**2.\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23806771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -335, -336?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from tzttddtztdztdt?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 341?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - 5*g + 19, f - 5*g = 2. Let a(h) = 0*h**2 - h**2 + 22 - f + 0*h**2. Does 5 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -59, 1, 495, -2, 3 in ascending order.\nAnswer: -59, -6, -2, 0, 1, 3, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((18\/5)\/3)\/(14\/(-35)). Let t(z) = -3*z - 12. Let l be t(f). What is the common denominator of 1 and 47\/l - (0 - 2\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*(sqrt(384)*-2 - sqrt(384)) - (sqrt(384) - -2*sqrt(384)*4))\/(sqrt(40)\/sqrt(45) + (sqrt(32)*2 - sqrt(8))).\nAnswer: -18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -0.28, 3?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13 and -1397.8979.\nAnswer: -181.726727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 358.4670628 rounded to two dps?\nAnswer: 358.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 3, a: 4, l: 4, q: 4}. What is prob of picking 1 p, 2 l, and 1 j?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/11, 0.133452?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -3*l - 5*v, 29*l - 27*l = -5*v + 87. Suppose -3*w = 9, -2*w = 3*b - 81 - 15. Calculate the greatest common divisor of b and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 67249175 and 140.\nAnswer: 268996700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 366*v + 357*v + 2 - 735*v. Determine q(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*d*q*u**3 - 52*d*q*u**2 - 4*d*u**3 + d*u - q**2*u**3 - 11*q**2*u**2 + 2*q*u**3 wrt u.\nAnswer: 498*d*q - 24*d - 6*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*r, -3*s + 4*r - 5*r + 16 = 0. Suppose -20 = s*z, -84 - 171 = -5*d + 2*z. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001022102202 (base 3) to base 10\nAnswer: 1620155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*f - 99\/5 - 1\/5*f**3 - 17\/5*f**2 = 0. What is f?\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -418, -423, -418, -397, -354?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 68?\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.7 + -9.3. Suppose 8 = 7*d + 1. Which is the nearest to -1\/3? (a) d (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i**3 + 127790*i**2 + 127755*i = 0. What is i?\nAnswer: -25551\/7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 14, 27, 36, 35, 18?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/31 (c) 108 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 1190 - 590 - 600.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.8? (a) 215 (b) -1\/4 (c) -0.06 (d) 3 (e) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 + 128. Sort k, -2, -3, -4.\nAnswer: k, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(52374\/(-928)))\/((0 + -1)\/3)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 152 + 100 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 - 19*p**2 - 26*p - 17. Let g be h(-8). Is 2\/5963 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/320 and 25\/4.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o + 3. Let q(d) = 2*d**2 + 4*d + 4. Let h(t) = 4*f(t) - 3*q(t). Let g(c) = 24*c. Calculate g(h(a)).\nAnswer: -48*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 15 - 2 - (-12 + 10 + 0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 11 + 5)*(2*y - 4*y - 2*y**3 + 0*y**3).\nAnswer: 10*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4087 in 0.2, 1\/6, -1\/6, -108?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 - 10142*i\/13 + 1562016\/13.\nAnswer: 2*(i - 4912)*(i - 159)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a**3 - 7*a**2 - 7*a - 27. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210302034 + -42?\nAnswer: 210301662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -30. Let l be 2\/(4\/(-2))*g. Suppose 14 = 3*j - l. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657633?\nAnswer: 3, 29, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 15 + 0 = 0, 3220 = 4*g - 4*b. Let u = g - 1448. What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179006.5 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * 407\nAnswer: -73.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 285083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 - 320635*r**2\/3 + 8978074*r\/3 - 20949068.\nAnswer: -(r - 14)**2*(r + 641298)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 0 - 8 - 24*y + 8.\nAnswer: -7*y**3 - 24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 9*f - 9, -14*k = -3*f - 1034 + 1037 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 36*u - 54. Let i(w) be the third derivative of 8\/65*w**5 - 16\/195*w**6 - 1\/13*w**4 + 0 + 0*w + 1\/39*w**u + 2*w**2. Factor i(y).\nAnswer: -2*(4*y - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 4, 443, -4, 0.\nAnswer: -4, 0, 1, 4, 12, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.0308 + 0.0308. Let a = -206\/133 - -24\/19. What is the third biggest value in 2\/17, a, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (617 + 276 + 276 - 411)*(-6*a - 4*a**2 + 6*a).\nAnswer: -3032*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 = -2*o, -5*o - 2*x = -3*x - 15. What is the first derivative of -4*b - 5 + 4*b - 7 - 17*b**o wrt b?\nAnswer: -51*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -177*k**3 - 2*k**2. Is m(-1) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 4, -0.19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130134 (base 6) in base 10?\nAnswer: -11722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(704) - ((sqrt(11) - (sqrt(11) + (3*sqrt(44)\/sqrt(4) - sqrt(11)))) + sqrt(11)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -10) + -8 - (40 - 54)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53 - 1132?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-16)*-1*-24. Suppose -13*u - d*u = -400. What is the smallest common multiple of u and 46?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9945104.\nAnswer: 2, 13, 137, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3\/7*h**4 + 12\/7*h**3 - 3\/7*h**2 - 18\/7*h = 0. Calculate h.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18894*d = -18915*d + 273 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + j**2 + 8*j - 9. Suppose 21*b - 40 + 15 = 59. Calculate f(b).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(108) + sqrt(12)\/(sqrt(24)\/sqrt(6)) - (-1*(1 + sqrt(3) + 0) + -4))**2.\nAnswer: 128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (993470\/25)\/((-696)\/60 + 12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - b = -a, -5*a - 5*b = 0. Let r be (624\/(-108) - -6) + 86\/18. Solve a = v - r*v + c - 20, -4*c = -v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 11:06 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 18. Suppose 4*d = -5*f + 1 + 12, g = 2*d + 2*f. Suppose -9*i = -d*i - 4. What is the least common multiple of 31 and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1330*x**2 + 57. Let y(k) = 95*k**2 - 4. Give 4*d(f) + 57*y(f).\nAnswer: 95*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, p: 4, y: 6, f: 1, c: 1, m: 3}. What is prob of picking 1 f, 1 a, 1 p, and 1 m?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*a + v - 7, -3*a + 3*v = 3. Suppose -3*m - m + 32 = -3*w, 33 = 5*m - a*w. Solve -u - 2*z = -6*z - 21, 0 = m*u + 4*z - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xctx. Give prob of picking 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 118 + -34?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 16. Suppose w = 7*l + l - 32. Let s be (-6)\/((-6)\/l + 0). Solve 1 = q - s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1528900 is divided by 138930?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010347511 to 4 dps.\nAnswer: 0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/18 + -4 + 412\/103\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2915 or -11661\/4?\nAnswer: -11661\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from {e: 1, k: 1, w: 3, h: 5}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7785 divide 692462125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3717308 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6859\/5 in -4, 0.01, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*b - 35 = -773*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 + 145*l**2\/2 + 118721*l\/2 + 118575\/2.\nAnswer: -(l - 425)*(l + 1)*(l + 279)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, y: 5, b: 2}. What is prob of picking 1 r and 3 y?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (10 - 5 - -10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 114.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*n - 68 = 204*n. Let o(t) = -t**3 + 4*t**2 + 3. Let r be o(3). Let v = n - r. Calculate the lowest common multiple of v and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 - 11*m + 4. What is y(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*r + 115 = 152, 5*r = -5*y + 20. Solve 26*d - y*d = 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 2*x**2 + 4*x - 5. Let h be g(4). Let j = 15 + h. Let t = j - -14. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + 14. Let k be 4\/(-6) + (-1869)\/j. Let w = k - -70. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 25*l - 82. Let z be d(21). Solve -z*p + 4 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.6 and -0.094?\nAnswer: 0.1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 186310, 186328, 186346, 186364?\n\"Answer: 18*j + 186292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 6. Let d = 4 - -2. Let t = d - 4. What is the least common multiple of t and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 2:10 AM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63790 and 5650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -275, -825, -1733, -2993, -4599, -6545?\nAnswer: -8825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 1775?\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**4\/4 - 3369*u**3\/2 - 11336677*u**2\/4 + 11356899*u - 11363641 = 0?\nAnswer: -3371, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 183982 to the power of 1\/2, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 220749, 441498, 662247?\n\"Answer: 220749*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 533180252 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((11\/(-330)*18)\/(1\/(-5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209676.\nAnswer: 2, 3, 101, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -53. Let a = -20 - d. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g. Let y(q) be the second derivative of q**3\/6 - 77*q**2\/2 - 68*q. Determine n(y(s)).\nAnswer: -s + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1125939, -2251879, -3377819?\nAnswer: -4503759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497*i = -3*x - 1499*i - 43, -23*x - 307 = 4*i for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -0.5 (b) -2290 (c) -6 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 9:55 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**3 + 3*n - 6. Let a be 7 - (2 + -1)*4. Let p(g) = 4*g**3 - 5*g + 11. Give a*p(r) + 5*q(r).\nAnswer: 2*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*1*sqrt(21))\/(sqrt(18)\/(sqrt(18)\/sqrt(3)))*4)**2.\nAnswer: 64*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 13 = q - n, q + n - 1 = 0. Suppose -4*k = 2*z - 82 - 16, q*z + 4*k = 192. Calculate the greatest common divisor of z and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4 - 104*c**3 + 100*c**2 = 0.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134 or -0.0147?\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3672 - 3666. Let r = 3 - -2. Suppose -r*c + 0 = -40. Calculate the lowest common multiple of z and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*p**3 - 335*p**3 + 181*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6\/85 + 73\/170. Let f be -2 - ((-12)\/8 - 1). Factor 1\/2 - 1\/2*a**2 + f*a**3 - w*a.\nAnswer: (a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*b - 77 = -2*p - 117, -23*p + 2*b + 32 = 6*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 150 = 17*h. Find the third derivative of 113*y**2 + 36*y + 97*y**h - 36*y wrt y.\nAnswer: 11640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*r = s + 16, 0 = -5*s - 3*r - 2. Calculate the common denominator of -115\/18 and (s\/4)\/((-9)\/327).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.25 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - b - 3. Let j(d) = -3*d**2 - d - 2. What is -3*j(g) + 2*k(g)?\nAnswer: 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -62 + -81 + 33?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 10*z**2 - 8*z + 5. Let s be w(-7). Let g = -202 + s. Solve g*x - x + 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 137*m**2 + 96*m - 1997. Is r(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 s when four letters picked without replacement from xxisstcij.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 267777 - -3?\nAnswer: 26777a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -17 + -6 + -28 + 50 + -10 + 15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ea64 - 2?\nAnswer: -ea66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142699057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10481 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59134610 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a**3 - 75*a**2 - 84*a**2 + 157*a**2.\nAnswer: -27*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - 42\/(-24). Let x = 14 + q. What is the remainder when 62 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*d**3 + 2*d**2*v**2 + 16*d**2 - 1554*d*v**2 wrt d.\nAnswer: -72*d + 4*v**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrrrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9090 + -5731. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 13*d**2 + 29*d + 58. Let h be l(9). Sort h, -17, 8.\nAnswer: -17, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31845 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2. Let t(h) = 5*h. Let u(z) = z. Let s(w) = -t(w) + 6*u(w). Let q(o) = 2*o. Let b(x) = 2*q(x) - 3*s(x). Give g(b(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -62*s - 15\/56*s**8 - 1\/60*s**5 + 0*s**6 + 0*s**7 - 5\/8*s**4 - s**2 + 0*s**3 + 0. Find the third derivative of n(m) wrt m.\nAnswer: -5400*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -z**4 + 4093*z**3 - 2097*z**2 - 7*z wrt z.\nAnswer: -24*z + 24558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220 + -20022022?\nAnswer: -20021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = 7*s - 665. Let c = -70 + s. Suppose c + 13 = 7*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-999)\/(-3900) - 3\/12. Let m = -269\/9100 - y. Does 1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 163 and 1167080?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -517 = -5*r + 3*d + 94, 0 = -2*r + 2*d + 242. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 220 = 4*q. Let i = q + -51. Suppose 2*v = -i*f + v + 288, -5*v - 360 = -5*f. Calculate the greatest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d8c2 + -3?\nAnswer: 1d8bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -2*x - 6, -5*x = -29*k + 33*k + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -33 + -14 + 12 + -3?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -840600, 0.01, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*-2*(-30)\/(-9).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -3. Let w = v - -5. Suppose -47*p + 94 = 329. Sort w, 3, p, 5.\nAnswer: p, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754*m = 1566*m - 860*m + 3360 for m.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1*3)\/((-429)\/22).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33525 is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 - 9*a**2 + 3*a + 3. Let m be x(2). Suppose -m*i - 5*s = -i - 1647, -2*i - 5*s = -821. List the prime factors of i.\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5826187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.6 + 5.5974. What is q rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 + 83 + 72)*(-4 + 4*m**3 - 3 + 5) - m**3 - 2*m**3 + m**3 as c*m**3 + j*m**2 + o + l*m and give c.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (1 + 0)) + -13 + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - b = -0*s + 96, 3*s + b + 72 = 0. Let d = s + 48. Calculate the highest common divisor of 36 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2*b**2 + 3*b + 2. Let n be m(-2). Sort -1, 1, n, 2.\nAnswer: n, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, m: 6}. What is prob of sequence rrm?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 130341775\/718002 - 20514\/113. Find the common denominator of o and 91\/6.\nAnswer: 6354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 474.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3297*r**2 + 25*r. Let c be k(3). Suppose 2*d - 4*d = 2*m - c, -4*d + 5*m = -59541. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1\/9, -39.413.\nAnswer: -39.413, 1\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 72*y + 49*y + 4 - 154*y + 54*y. Let m(q) = 62*q + 11. What is 11*k(a) - 4*m(a)?\nAnswer: -17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111111010 - 101?\nAnswer: -11111111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1698250152.14 + 1316330.14. Let b = -1696933697.9999939 - j. Let t = b + -124. Round t to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1 = -7. Suppose -3*s + b + 20 = 0, 0 = -2*b + 2 - 0. What is the remainder when s is divided by 9*((-7)\/(-3) - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 446*n**2 - 8932*n + 305. Calculate m(20).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131914 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-2\/17)\/s))\/(s\/(s*s\/(s**(-2\/27)*s)*s))*(s\/(s\/(s**(1\/3)*s)*s))\/(s\/s**17) assuming s is positive.\nAnswer: s**(9421\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -345*g**3*w**3 - 257*g**2*w**3 + 2*g**2*w wrt g?\nAnswer: -2070*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**4\/24 - t**3\/6 + 33*t**2. Let x(p) = 2*p - 3. Give -i(v) + x(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64 + 45. Calculate the remainder when 50 is divided by 1\/(-1)*(h + 2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**2 - 3*b**2 + 3*b**2)*(-b**3 + 5*b**3 - 2*b**3) - 2*b**5 + 2*b**2 - 2*b**2.\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*o + 2*a, -o - 4*a + 27 - 15 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3465 and 1029?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1057 and 604.\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11313213 (base 4) in base 5?\nAnswer: 1232124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + 37 - -6) + -15 - -57?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 276 = 24. Differentiate -1 - 37*m**3 - 4 + a*m**3 + 0 wrt m.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244557 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*y + 46. Calculate the remainder when 32 is divided by 6\/(-12)*(y + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 5*d**3 - 55*d**2 - 430*d + 480 = 0.\nAnswer: -6, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (21357 - ((-144)\/(-68) + (-4)\/34)) + 6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**4\/6 + g**3\/3 - 10*g**2. Determine n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z - 26. Let b be m(14). What is d in -1\/2*d**4 + 1\/2*d**b + 0 - 1\/2*d**3 + 1\/2*d = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -30151*h + 451551. What is p(15)?\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 2.92. Let d = 1340\/759 - 42\/23. Let w = 40\/429 - d. What is the biggest value in m, 2\/9, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 10 = -4*h. Suppose -p = 5*t - 123, -h*t = -t + p - 98. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 256410 divided by 1665?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wen when three letters picked without replacement from uwngeed?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4840 or -27485?\nAnswer: -27485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 23*l + 78. Let h(v) = 26*v + 104. Let p(x) = -5*h(x) + 6*r(x). Determine p(14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -459.892 + 459.9120037. Let x = z - 0.02. What is x rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-4 + -2 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 297726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yycyyyyyccyyyy. What is prob of picking 3 y?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1188*o - 259064. Calculate f(218).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3*-3)\/(2*(-2)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -0.01 (c) 0.5 (d) -175 (e) 1\/21 (f) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 85193*a = 85191*a + 14, 0 = 3*a - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4251, 8460, 12679, 16908?\nAnswer: 21147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (516\/72 + -8)*(1884\/380 + -5)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 7*b + 8. Let g(k) = k**2 + 5*k. Let a be g(-2). Give x(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/209 or 1.066?\nAnswer: 1.066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4037 and -3?\nAnswer: 1.2111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4443 (base 5) to base 10\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2817*c**2 + 150*c. Let i(g) = -2*g**2. Determine v(i(o)).\nAnswer: -11268*o**4 - 300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/171 + -337\/855. Let c(b) = -7 - 8*b**2 - 7*b - 3*b + b**3 + 2*b. Let f be c(9). Do k and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 4\/(-4)*19. Let m = x + 24. Let v(n) be the first derivative of n**2\/2 + 2*n + 2. Let s(d) = 2*d + 3. Give m*s(r) - 3*v(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 1. Let r(n) = 11*n**2 + 3. Give -r(f) - 3*w(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 41 = -5 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10657612099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - i - 16 = 0, -63*d - i = -60*d + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(((-16)\/8)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 84777056 and -5.\nAnswer: -423885280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 + 27*y**3 + 105 - 33*y**3.\nAnswer: -6*y**3 + 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*w**4 - 7664*w**3 + 244636*w**2 - 1043024*w + 739200 = 0. Calculate w.\nAnswer: 8\/9, 4, 33, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54363 - 11351?\nAnswer: 43012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -234 + 4?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, j: 8, o: 5}. What is prob of picking 1 j and 3 o?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**2 - 6*p + 447. Let x(q) = -9*q**2 + 15*q - 896. Calculate -5*f(a) - 2*x(a).\nAnswer: -2*a**2 - 443","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -312438747 or -312438748?\nAnswer: -312438747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 514859928.\nAnswer: 514859928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o + 1. Let m(l) = 3*l - 2*l - 2*l. What is b(a) - 3*m(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/243, -3\/14, 5.\nAnswer: -3, -3\/14, 1\/243, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*i - 26, 7*p - i - 7 = 5*p. Suppose 9 = 6*a - 3*a. Suppose 0 = -k - w - 1, a*w - p = -18. Solve -q + k = -0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23797 and 118084.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 1, -0.1, 3, 9, 4, -113?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**21\/(((i*i**(1\/2))\/i)\/i*i*i*(i\/(i**(2\/17)*i))\/i) assuming i is positive.\nAnswer: i**(172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -76*i. Let s(l) = -6*l**2. Calculate n(s(o)).\nAnswer: 456*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 + 31*y - 10. Let i be j(15). Suppose i*l - 11 = 4. Solve 4*k = -l*k + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 1\/3 (b) 8 (c) -5 (d) 3\/2 (e) -2\/149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*p**5 - 3*p**2 + 978*p wrt p?\nAnswer: 300*p**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*v = -50*v - 5184. 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 u(o) = -2*o**2. Let h(v) = -98*v + 107. Determine u(h(a)).\nAnswer: -19208*a**2 + 41944*a - 22898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/7)\/((-1528)\/(-5348)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/42 + (-1)\/(-3). Which is the second biggest value? (a) 21 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577109?\nAnswer: 13, 103, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 7. Let v(r) = r + 13. Let t be v(-6). Let w be i(t). Solve w = -q + j + 3*j + 12, 4*j - 4 = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fe8 - 24?\nAnswer: fc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**(1\/4))\/j)\/j**14)\/(j**(-3)\/j**(1\/8)) assuming j is positive.\nAnswer: j**(-81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 2948704.\nAnswer: 2948704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.748 + 6.248. What is the nearest to 1 in -8, w, 0.073?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 703*d**3 - 6*d**2 - 2*d - 2. Let w(y) = -2109*y**3 + 21*y**2 + 7*y + 8. Calculate -7*j(i) - 2*w(i).\nAnswer: -703*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15133262 (base 8) to base 2.\nAnswer: 1101001011011010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*d + 28, 2*d - 3*d = r - 7. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzhwjjijiieijwi. Give prob of picking 1 i and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2507 + -1202. Suppose -n + 2760 = -q. Suppose -4*t = -n + 16065. Round t to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221200011100 + -120?\nAnswer: 221200010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/141, 3, -3\/5?\nAnswer: 4\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 65\/3*j**3 + 0*j**6 - 52*j - 38\/105*j**7 + 0*j**4 + j**2 + 0 + 0*j**5. What is the first derivative of s(b) wrt b?\nAnswer: -304*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1865 and 4103?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (932\/(-10))\/(15\/(-75)). Let l(u) = -1 + c*u - 3*u**2 - 466*u. Let h(v) = 9*v**2 + 3 - 2*v + 2*v. Calculate -6*h(x) - 17*l(x).\nAnswer: -3*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 448346 - 1?\nAnswer: 448345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n - 4. Suppose -3*g + 2*g = 2. Let i = g - -4. What is the smallest common multiple of i and h(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 246827076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 265255.4096 to the nearest 10.\nAnswer: 265260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - 19*a + 9596. Let i(x) = -11*x. Give i(c(q)).\nAnswer: -33*q**2 + 209*q - 105556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 908*n - 1815*n + 4*q + 13 = -902*n, 0 = -5*n - 4*q - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h**2 - 53*h + 2. Calculate i(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -1\/7 (c) -3 (d) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 487*l**2 + 484*l**2 - 5.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89355393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-521942)\/(-145)*(-3)\/((-6)\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29216 is divided by 230?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)*-1 + 1. Let k be (4 + 1)\/(q\/(-2)). Let l be (((-45)\/(-9))\/(-5))\/((-11)\/(-2)). Which is the second smallest value? (a) k (b) l (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 281*q**3 + 4*q**2 - 12*q - 8. Let o(d) = -280*d**3 - 3*d**2 + 8*d + 6. Give 4*o(r) + 3*z(r).\nAnswer: -277*r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 - 2*n**2 + 0*n**2)*(n - 2*n + 2*n) - 17*n**3 + 15*n**3 - 26*n + 2*n.\nAnswer: n**3 - 24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (37980\/(-16))\/(-15)*(-4)\/(-1).\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4858 at least -4852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -11504200317 and -7.354.\nAnswer: -11504200324.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (137 - 125) + -4 + (-2 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1217891\nAnswer: 1217891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 35*m - 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (7 - (4 + 4))) + -2 + -14 + 2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 19868101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (-11 + 45)) + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8109 is divided by 7813.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l**3 + l)*(269 - 213 - 147).\nAnswer: -182*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4*v + 34, 3*o + v + 22 = 2*v. Let w be (-15)\/(-10)*(-8)\/o. What is the third derivative of 0*a**2 - 2*a**w - 23 - 3 + 42*a**4 + 0*a**2 wrt a?\nAnswer: 1008*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 13, 85, 229, 469, 829?\nAnswer: 1333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 8813751.\nAnswer: -8813751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 330.1 - 330. Which is the third biggest value? (a) -5\/3 (b) 9\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -16. Let q(g) = 15*g**3 + 79*g**2 - 42*g**2 + 13 - 52*g**2. Let s(a) = 7*a**3 - 7*a**2 + 6. Calculate d*q(c) + 13*s(c).\nAnswer: c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 4 - 9 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 619698523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -23322320 greater than or equal to -93289275\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*j - 31 = -13, 3*j - 12 = -3*m. Let y = 10 + m. Let c be (2 - (7 + -4))*y. Let p(d) = -d**2 - 9*d + 7. Give p(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*a**3 + 0*a**2 + a**2 + 2*a - 10*a**3 + 4 to the form m*a + g*a**2 + x + o*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.963432nm in kilometers?\nAnswer: 0.000000000008963432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 9*b - 2*b**2)*(b**2 - 2*b**2 - b**2 + (-5*b + 2*b - b)*(2*b + 0*b - b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0823869759 to 6 decimal places.\nAnswer: 0.082387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by 119.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (187\/(-3))\/((-12)\/(-36)). Let j(i) = -34*i**3 - 4*i**2 + 4*i - 4. Let c(r) = 1598*r**3 + 187*r**2 - 187*r + 187. Calculate m*j(o) - 4*c(o).\nAnswer: -34*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjgjvzg. What is prob of picking 1 j, 1 v, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 605035\/63 - 9604. Find the common denominator of 28\/711 and a.\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25900)\/3108*(-4)\/(-30).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/((-18)\/(-12) + -1). Solve 0 = m + 8 - s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/22*(0 - -38). Suppose 58*n - g*n - 592 = 0. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m = 5*r + 10*m + 13, -m = -3*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 5 + 6\/2*-1. Suppose -j - 72 = -5*g, -z*j + 3*g + 2*g - 129 = 0. Let f = -35 - j. What is the remainder when f is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -188*l + 190*l + 2*b, -2*l + 11 = -b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/36)\/((-366)\/(-1098)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 + 3*p**2 - 4*p**2)*(5*p + 0*p - 3*p)*(-5 + 0 + 3) to the form o*p**2 + j + c*p**3 + t*p and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 2*l - 2*l**2 - l**2 + 6*l**2. Let p(j) = 4*j**2 + 7*j - 1. Determine 2*p(y) - 7*u(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + -2 + sqrt(605) + (2*(sqrt(320) + -1 + sqrt(320) - sqrt(320)))**2)*5.\nAnswer: -265*sqrt(5) + 6395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1540 - 1539. Which is greater: 2669 or p?\nAnswer: 2669","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -79, -160, -243, -310, -343, -324, -235?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 3:18 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 82. Give w(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -290 - -279. Sort 2\/17, -3, j, 4 in decreasing order.\nAnswer: 4, 2\/17, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 810657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(sqrt(252) - (3 + sqrt(252) + -1)) + -3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 6. Let t(u) = -4*u + 5 - 3*u**2 + u**3 - u - 2*u**2. Is t(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 284054.8 hours?\nAnswer: 1022597280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 + 7 + 0*r**3 + r**3 - r**2 - 10 in the form n*r**2 + s*r + u*r**3 + j and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 10*r**2 + 24*r + 11. Determine m(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1861846, 3723728, 5585610?\n\"Answer: 1861882*h - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 3*u**5\/35 - 3*u**4\/14 - 29*u**3\/7 - 9*u**2 + 170. Determine y, given that l(y) = 0.\nAnswer: -3, -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 119476?\nAnswer: -119473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-33) + 7\/3)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -264*v + 1380. List the prime factors of f(-47).\nAnswer: 2, 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5478494.81 + 118491.19. Let z = h - 5596985.7000053. Let y = -0.3 + z. Round y to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12610557 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/(-12760)*44)\/(32\/(-10)*12).\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35.91 - -36.1. Let l = -5.19 + o. Which is the biggest value? (a) l (b) 4 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 685 - 2120033?\nAnswer: -2118237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200428 = -717*x + 2969*x for x.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 5*i**2 - 4*i + 5. What is the lowest common multiple of x(-4) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m - v, 3*v = 0. Which is bigger: -1\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.1907043?\nAnswer: -0.9535215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10699 by 823.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 898 in 29\/3, 68, -2?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 2*z**3 - 159*z - 2 + 158*z to k*z**3 + j*z + i*z**2 + b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 8.2331.\nAnswer: -0.82331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78352 and 592?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2760)\/10*(2\/12*1470\/(-196))\/(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 115*z**3 + 2*z**2 - 3*z + 1. Let s be -6 + 3 + (-2 - -3). Let b be (-2)\/s + 0 + 0. Is q(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 861136.\nAnswer: 17\/861136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -4. Sort d, 0, 1.\nAnswer: d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*x - x = -12, 0 = -3*r + 4*x - 9. Let s(v) = -4*v - 4. Let y be s(r). Solve y*j = 3*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3587308 is divided by 1195767.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5313682*z**3 + 6009241*z?\nAnswer: -31882092*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-51 + -2)*1*(0 + -1). Suppose -55*r - 6 = -l*r. Put 3, r, -28 in descending order.\nAnswer: 3, r, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75345158 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 195 and 261326?\nAnswer: 3919890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 48 + -33 - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - -6. Is l\/(-4)*(2 - 6) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 1 (c) 1.312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-525)\/(-280)*2\/10. Let s = 3 + -3. Which is the nearest to s? (a) p (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + u, -2*u - 4 = 400*m - 402*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1\/5, -13, 0.4, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 16*x - 5. Calculate the remainder when u(11) is divided by 273\/14*4\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*p + 37. Suppose -3*n + p = 4. Let w(o) = -o**3 - 8*o**2 - 7*o + 3. Let d be w(-7). Calculate the greatest common divisor of n and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 437, -223, -35 in decreasing order.\nAnswer: 437, -35, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 + 254. What is the remainder when h is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c = -77*c + 118 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 94 (base 10) to base 9\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (-9 - (13 - 22) - -8).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(108))**2 - ((sqrt(27) - (1*sqrt(81))\/sqrt(3)) + sqrt(27))) + -2.\nAnswer: 9*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 6*m**2 - 8*m - 6. Let r be w(-5). Let b = r - 11. List the prime factors of (1\/2)\/(b\/(-44)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1083874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/3*84\/(-8). Suppose 0 = -x*k + 6*k + 3. Suppose -5*s + r = -k, 2*r - 5 = -3*s + r. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0189153 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a millennium in centuries?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in 5, -3, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160867572 a multiple of 1276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -634*y + 20444. Let b(n) = n**2. Calculate k(b(g)).\nAnswer: -634*g**2 + 20444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwwkwwwwwwwwwwkwwwww.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n - 8. Let i be ((-1)\/4)\/((-5)\/(-20)). Let q(a) = -1. Let j(u) = i*r(u) - 3*q(u). Calculate j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 149, 237, 323, 401?\n\"Answer: -q**3 + 8*q**2 + 67*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-22)\/11))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*o + 20 = 3*d, -2*d + 16 = -4*o. Let z(i) = i**3 - 4*i**2 - 8*i. Let t be z(6). What is the greatest common factor of d and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 906, 1826, 3200, 5136, 7742?\nAnswer: 11126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73190 rounded to the nearest 1000?\nAnswer: 73000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/80 and -161\/147779160?\nAnswer: 295558320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1. Let r(k) = k**2 + 801*k + 801. Let h be r(-1). Let s(b) = -b**2 - 2*b - 8. Calculate h*s(g) - 6*j(g).\nAnswer: -g**2 - 2*g - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-2 - (-3 + 5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22566407 + -2?\nAnswer: -22566411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f**3 + f**2 + 5. Let a(b) = 6*b**3 - b**2 - 3. Give -5*a(r) - 3*x(r).\nAnswer: 3*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-39) + 28\/(-13) + 2. Let t(a) = -a - 5. Let l be t(-4). Is u bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 + 0)*(-2*v - v + 0*v) + 93 - 93 - 34*v)*(0*v + 0*v + 2*v**2).\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -263 + 261. What is the closest to g in 2, -2\/3, 50?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 - 16*c - 15. Let m be u(-15). Round m to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125990 = 125990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -5026922.\nAnswer: -6032306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1470 equal to -29442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281*k - 4480 + 3158 = 9075 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - d**2 - 2*d - 2. Let t = -55 + 227. Suppose 0 = -14*m + 18*m - t. Suppose m*x = 48*x + 10. Calculate y(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37600000 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*o + 9, 9 + 6 = -o + 5*w. Suppose o = -p - 1 + 3. Let g(u) = 859*u + 13*u**p - 859*u. Let c(h) = 2*h**2. Calculate g(c(y)).\nAnswer: 52*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-18\/7))\/z*z**(-1))**38 assuming z is positive.\nAnswer: z**(-950\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -3, 27, 69, 123, 189, 267?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.29701 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, 18, 76, 144?\n\"Answer: 5*r**2 + 33*r - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Suppose -2*z - s = -36. Calculate the remainder when 65 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 1.7, -0.4, 1, 5, -2, -0.0248?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 44*y - 40. What is the hundreds digit of w(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**5)\/i**(-1)*(i\/(i*(i*i**(-4)\/i)\/i*i))\/(i\/(i\/(i\/((i**7*i)\/i)))) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 750083 less than -11652015.3?\nAnswer: -12402098.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/1)\/(3\/(-21)). Suppose 4*p - 46 + 4 = -2*i, -2*p + 4 = 0. Let b = -16 + i. Solve l = -4*n - b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.17 + -0.87. Let h = q - -40.7. Let b = 42 - h. Is -1\/4 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 5. Let t be n(5). Suppose 4*s - 15 - 1 = t. Let r be -3*-2*(-1)\/4. Which is the second biggest value? (a) r (b) 1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -139836, -140042, -140248, -140454?\n\"Answer: -206*y - 139630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 184 + -49. Let o = -135 + d. Which is the smallest value? (a) 2\/9 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 6:27 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 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: Calculate the common denominator of 47\/415 and 87\/50.\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - -9c5668?\nAnswer: 9c5675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Let k = -6 + x. Let b(u) = u + 1. Let i(r) = 1. Let f(j) = -b(j) + 3*i(j). What is f(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((20 - (0 - -11)) + 6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5030 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15444*s**3 - 24*s - 2*s**2 + 5*s**4 - 15444*s**3 to the form f*s**4 + d + p*s**3 + h*s + a*s**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126731 is divided by 18090.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -44, -3.\nAnswer: -44, -5, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83664 - -146564. What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.20545 - -0.00545. What is the second smallest value in y, 0.06, -5\/3, 3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120 - 23032?\nAnswer: -23152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.02 (b) 1 (c) 3 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/6 + (26 - 47))*(4\/63 + 0).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 74?\nAnswer: -43\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3. Let f be w(-1). Find the second derivative of 0*x**3 - 2*x - 4*x**3 - x**f wrt x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 497 - 497. Let h(q) be the first derivative of -18*q + 0*q**2 + 1\/3*q**3 + 2. Determine h(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1302429 and 1719?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 3*l. Let z(k) = -25*k**2 - 90*k - 125. Let c(v) = 30*g(v) + z(v). Factor c(x).\nAnswer: 5*(x - 5)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-45)*(3\/6 + 0). Which is the closest to 0.1? (a) r (b) -16 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 79.92199 micrograms?\nAnswer: 0.00000007992199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 10132680.\nAnswer: 10132680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (39\/13)\/((-1)\/(-53)). Suppose 0 = -0*z - 4*z + v + 163, 5*v + w = 4*z. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 1:06 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**6\/120 - 3*y**5\/10 + y**4\/24 - 2*y**3\/3 + 660*y**2. Calculate s(18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*u - 10*u + 6*u.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*r**2 - 6*r**2 + 4*r**2 - 2*r**2.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(3*(33\/(-9) - -3)). Let a be (-4 - -3)*t + (3 - 0). Is -1\/6 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10440 a factor of 2389827267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 - 4*p + 5. Let a be m(5). Let x = a - 7. Suppose x*t - 45 = 4*g - g, 5*g + 9 = -t. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2808 or -2806?\nAnswer: -2806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (52\/14)\/((-3)\/(-21)). Calculate the highest common factor of 65 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 571*f - 2*f**3 - 571*f + 20*f**3 - 7*f**3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 (base 13) in base 7?\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(0 + 4 - 3)*(-3*z + 9 - 9)*(4*z**2 - 20*z**3 + 3*z**3 + 13*z**3).\nAnswer: -12*z**4 + 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -856?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + -1)\/(3\/1). Let x be 1\/((-4)\/(-180) + p). Calculate the highest common divisor of 18 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(((i*i**(-2\/3)*i)\/i)\/i))\/i)\/i*i**7\/i)\/(i**(-1\/12)\/((i\/(i\/(i\/i**(-5)))*i)\/i)) assuming i is positive.\nAnswer: i**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9397 minus -19402039?\nAnswer: 19402033.0603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 + 6?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107 is divided by 1573?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmkkp. What is prob of sequence kpk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 6. Let t be y(-7). Suppose 4*g - t = -7. Suppose -j = -g*j. Solve 2*b + a - 3 + 4 = j, 0 = -4*b + 5*a + 33 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -35\/4. Which is the closest to 1? (a) 0.8 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 3*k + 8. Let p be b(4). Is -21*(2 - p)\/2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - y - 12. Let z be p(-3). Is 242 + 0 - (-8 + z) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x**2 + 2*x**2 - 10*x**2 - 16*x + 14 + x**3 - 4. Let y be h(14). What is the third biggest value in -1\/2, y, 1\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 592 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 347 - 346.92. Put 2\/7, d, -1, 2 in ascending order.\nAnswer: -1, d, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-18)*18\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44\/9 in -1, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5541761 to the power of 1\/4, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446550209?\nAnswer: 7, 83, 768589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:48 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 130*b**3\/11 + 72*b**2\/11 + 8*b\/11 = 0?\nAnswer: -2\/5, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 26*v**2 + 26*v + 38. Let b be c(27). Suppose 5*n - 10*n = b*n. Solve m - 2*f + 2 + 2 = n, -4*m + f = -12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 0*q + q)*(-5 - 11 - 3) + (0 + 2*q + 0)*(-1 + 4 - 1) in the form n + c*q and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 6*o**2 - 4*o - 3. Let w = -146 + 140. What is a(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 106*d**2 - 308*d**2 + 101*d**2 + 45*d + 102*d**2 - 46 = 0.\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -62, -4, 92, 226, 398?\n\"Answer: 19*g**2 + g - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*f + g, -5*g + 25 = 6*f - f. Suppose 3*z - 21 = -t - 72, -f*z - t - 83 = 0. Let c = 4 - z. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 7*g - 1103706 = -34*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35575656 a multiple of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 520*z. Let w(y) = 34*y. What is w(c(o))?\nAnswer: 17680*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -9*l - 1. Let a(o) = o**2 - 108*o + 3. What is a(h(w))?\nAnswer: 81*w**2 + 990*w + 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.048 * -4.7.\nAnswer: -0.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3836060805?\nAnswer: 3, 5, 47, 5441221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40221790 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 70 + (-128 - (33 + -104))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -387*(-11)\/(-33)*15*2\/405\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i + 1479816 = 119*i - 33*i. Is 31 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -527*g + 938*g - 1303*g in the form k*g + j and give k.\nAnswer: -892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1481560 and -13\/6518864.\nAnswer: 32594320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/12 - 11*o**3\/6 - o**2 + 2*o. Calculate the remainder when f(-5) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**8\/3360 - 19*m**7\/1050 - 71*m**6\/600 - 26*m**5\/75 - 137*m**4\/240 - 17*m**3\/30 - 2917*m**2. Factor z(t).\nAnswer: -(t + 1)**4*(t + 34)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/2 - 281*t**2 - 29173*t\/2 + 14868 = 0 for t.\nAnswer: -504, -59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b\/(b**9\/b)))**(-3\/5)\/(b*b**(-2\/43))**(2\/49) assuming b is positive.\nAnswer: b**(-57299\/10535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)\/i*i)**(-7)\/(i**(-1\/5))**(-32) assuming i is positive.\nAnswer: i**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -43.2. Which is the second biggest value? (a) 4\/3 (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n**(-1)*n*n*n)\/n)*n*n**(-2\/17))\/(n**(1\/10)*n*n*(n\/((n\/(n**2*n*n*n))\/n))\/n*n) assuming n is positive.\nAnswer: n**(-1227\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9382*v - 8002. What is the units digit of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*n - 75*n + 13212843*n**2 + 39*n.\nAnswer: 13212843*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3)\/3 + (6 - -1) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236076 and 34608?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 8. Let i be w(0). Solve 3*b + 2*o = 5, 3*o - i - 5 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -4 + m**3 + 0*m + 1\/2*m**2. Let t be (-1)\/(1 - (-2)\/(-1)). Calculate g(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -8. Suppose -1\/5 + 1\/5*a**o + 1\/5*a - 1\/5*a**3 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137979487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 5*n**2 + 4*n - 3. What is h(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -847647409 + 847647409 - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -9.8. Let a = c + 2. Let v = -174 + 174.2. Put v, 1, a in decreasing order.\nAnswer: 1, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:57 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61605*n**3 - 371850*n**2 - 13340*n - 120.\nAnswer: -5*(n + 6)*(111*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-36)*(-2)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, r: 4, u: 4, h: 2, j: 1}. What is prob of picking 2 d, 1 r, and 1 h?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 50. Let c(h) = -h**3 - 4*h**2 + h + 4. Let s be c(l). Calculate the smallest common multiple of (s\/(-14))\/((-1)\/7 + 0) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -55. Let b = m + 36. Solve -12 + b = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7274522 kilograms to milligrams.\nAnswer: 727452.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 7 = 8, 3*r + 2*q + 12 = 0. Put 0.1, -14, r in decreasing order.\nAnswer: 0.1, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 - (-239)\/(-315). Let w = t + 14\/15. Let b = -827\/45 + 93\/5. What is the third smallest value in w, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -1 + (-3 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - m**2. Let n(z) = 160*z**3 + 144*z**2. Determine 288*k(l) + 2*n(l).\nAnswer: 32*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (11 - 2) + -4. Suppose -3*u = 4*c - 238, -b*u = 6 + 2. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) -3 (c) -62 (d) -3\/7 (e) -3\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3555*c = 9200 + 8510 + 13487 + 798 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6637.851 and 204?\nAnswer: 6841.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -229, -1749, -5841, -13783, -26853?\n\"Answer: -213*n**3 - 8*n**2 - 5*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 13*i**2 + 5. Let n be b(13). Suppose k + 16 = -3*k, n*k - 1633 = -3*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2768?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((sqrt(1088) + 4 + sqrt(1088) - sqrt(1088))*5 + -5 + (2 + (sqrt(1088) - (sqrt(1088) + (-1*sqrt(1088)*5 - sqrt(1088))) - sqrt(1088)))**2).\nAnswer: -326628 - 2400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 84824023200 rounded to the nearest 1000000?\nAnswer: 84824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 162.05 - 162.35. Put -3\/5, a, 24, -3, -0.2 in decreasing order.\nAnswer: 24, -0.2, a, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (324\/702*1\/(-4))\/((-13)\/156*-45)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-1)\/(24\/(-8))*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9402943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -689 + 705. Let q(j) = 50*j - 137. Calculate the remainder when q(s) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81 and 54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 18409 * -0.03\nAnswer: -552.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/(-2)*(2480 + -12 - -15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -525\nAnswer: 524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/17281712 and 67\/47376.\nAnswer: 155535408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/9)\/((-12)\/54). Let l be (s + 13\/5)*(-450)\/36. Let a = -1 - -4. Solve a*f - 4*f = -l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-1)\/(-2)). Let c(r) = -5*r - r**2 + 3 - r**3 - 8*r**2 - 2*r. Let l be c(-8). Put 4, l, q in ascending order.\nAnswer: l, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 5368885*j + 5368894*j + 108.\nAnswer: 9*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = x - 64. Let q = x - 48. What is q rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 935895.3 hours to milliseconds.\nAnswer: 3369223080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3\/5))**(-21))**(-49))**(-8\/9) assuming p is positive.\nAnswer: p**(2744\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**3 + 5*j**3 - 2*j**3 + (-5*j + 2*j + 2*j)*(-2*j**2 + 2 - 2) - 2*j**3 + 8*j**3 - 3*j**3.\nAnswer: 13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118413033?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(288) - sqrt(288))*5 - -1*(sqrt(288) + -1 + sqrt(288))) + 0 + 1 + 4)**2.\nAnswer: -1728*sqrt(2) + 93328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkyaay. Give prob of picking 2 a and 2 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/(-18)*((-2303)\/329 + (-38)\/(-5)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 619807160 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 5. Let k = 0 + -2. Calculate the remainder when p is divided by (12\/(-3))\/(k - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.1, 0, -4, -16484, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(-5*x**4 + 5*x**4 + x**4) + 7*x**4 - 3*x**4 - x**4 + 2*x**4.\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6 - 0)*-3. Let m = -1829 - -1813. What is the units digit of 124*x*(-4)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1488.1 and 184.\nAnswer: 273810.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 11*z**2 - 11*z + 15. Let w be t(-12). Find the third derivative of -11*g**2 - 3*g**3 + 30*g**5 + 3*g**w - 13*g**5 wrt g.\nAnswer: 1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 19*m**2 - 7*m + 81. What is k(-17)?\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 2. Let w be l(10). What is the greatest common divisor of 72 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -161116*m - 949. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3150000 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1855066031?\nAnswer: 7, 13, 20385341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1239700 and 33880?\nAnswer: 27273400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.094353 less than -94.7?\nAnswer: -95.794353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456\/198 - (-238)\/(-1309) - (-4)\/(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 16. Let f = 136 - 58. Let v = f + -70. Solve v*r = i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 572*n**2 + 80675*n + 80104.\nAnswer: (n + 1)*(n + 248)*(n + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -5 + 0*z**4 + 0*z**2 + 4\/5*z**5 + 0*z**3 - 3*z. What is the derivative of g(p) wrt p?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2424943, -2424968, -2425009, -2425066?\nAnswer: -2425139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o + 538. Let n(w) = -14*w - 1607. Calculate -4*n(b) - 11*r(b).\nAnswer: b + 510","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/6 - 110*u**2\/3 - 437*u\/6 - 109\/3 = 0.\nAnswer: -218, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d - 16207 + 18092 = 0 for d.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/10*(-5)\/(-2). Let h(s) = -d*s**3 + 6*s**3 + 130 - 2*s**3 - 136 + 2*s**2 + s. Does 10 divide h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, h: 2}. What is prob of sequence bbb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 j = 3 - 2.5. Let q be ((-1)\/2)\/((2184\/(-32))\/(-21)). Let g = -5 + 5.4. Which is the closest to -0.1? (a) g (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*d**2 + 9*d**2 + 242 + 8*d - 242.\nAnswer: -28*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-256))\/((-1)\/(-4)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4038 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61459831 is divided by 30729910.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + u - 1. Let d(c) = -2*c**3 - 5*c**2 + 5*c - 5. Give 2*d(b) - 10*y(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.62? (a) -1\/5 (b) 2 (c) 0.2468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*j - 6 + 9 - 3 - 9*j - 11 to i*j + m and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -839*a**4 - 10*a**3 - 19*a**2 - 251812*a?\nAnswer: -10068*a**2 - 60*a - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {u: 1, z: 2, x: 8, r: 2, t: 3, g: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*n = 4, -5*j + 4*j + 4*n = 8. Suppose 4*v - 3*v + 4*f + 10 = j, -3*f = -5*v + 42. Factor v*s**2 - 42*s**4 + 0*s**2 - 8*s**3 + 44*s**4.\nAnswer: 2*s**2*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(10)\/sqrt(2) + 4) + 1 - (sqrt(500)*2 + -1)**2.\nAnswer: -2020 + 35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-4) + (-9)\/(-12). Let l(t) = 1 - k + 3*t. Let q(v) be the second derivative of -v**4\/12 + v - 12. Give q(l(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-28)*w**(-29))\/((w**(-3)\/w*w)\/w**(5\/14)) assuming w is positive.\nAnswer: w**(-751\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 4*q + 19, -3*v + 579 - 586 = -2*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 45?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1210186 times -0.4\nAnswer: 484074.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2932 + -481.2457964?\nAnswer: -3413.2457964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*-18 - 195\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.99 - -0.896. Round s to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13667*z + 4345 = 6839*z + 6883*z for z.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**30*i**34*i**(-4\/3)\/(i*i**(-5\/11)) assuming i is positive.\nAnswer: i**(2083\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.335 and 0.1?\nAnswer: -0.0335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.5634 litres to millilitres.\nAnswer: 87563.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 27*m. Determine x(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c**2 - 10*c - 93. Let x(z) = 32*z**2 + 22*z + 185. Let b(q) = -7*t(q) - 3*x(q). Differentiate b(l) with respect to l.\nAnswer: 18*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71785 is divided by 2389?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25.33 + 25. Let o = -0.13 - v. Let j = -4.3 + 0.3. What is the second smallest value in j, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + 5*o - 3*o)*(2*o + 3 - 3) - 18 + 18 + 7*o**2 - 3 - 2*o**2 + 3 + 10*o**2 - 18*o**2 + 9*o**2 in the form t + f*o**2 + j*o and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 48, 59, 54, 27, -28?\n\"Answer: -k**3 + k**2 + 25*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14420170109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*-2*sqrt(110)*6)\/(3*(sqrt(1440) - -4*sqrt(1440))*-4).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i + 1. Let o(x) = 6*x**2 - 19*x - 22. Let s(g) = -5*n(g) - o(g). Let d be s(15). Let j(r) = -r**d - r + 6 + r - 4*r + 3*r. Calculate j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 5*c - 2. Let p be a(-5). Let h(b) = b - 1. Let z(d) = -5*d**2. Let j(s) = 2*h(s) - z(s). What are the prime factors of j(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1578 and 1599?\nAnswer: 1599.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36383*r**3 - 571*r**2 + 3 wrt r?\nAnswer: 218298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 6. Suppose 0 - k = -y, -2*y = w - 49. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**4 - 37625*q**3 + 51468.\nAnswer: -4*q**3 - 112875*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.8 + -7.8. Let u = 3.2 - 3. Which is the nearest to -1? (a) f (b) 1\/4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 23*i - 25. What is g(5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23833411871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-32) - 166\/(-8). Let t = 26 - d. Suppose 0 = -0*w + t*w - 110. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + -6. Suppose -3*b - 2 = -b, -5*j + 77 = -2*b. Let l = w + j. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 5 (c) 418 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 24349533\nAnswer: 1\/1873041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 13. Let s be w(-9). Suppose -3*j - 7*l = -2*l - s, -3*l = 6. What is the highest common factor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 - 237 = -5*w - 5*w. Suppose -2*j + 8 = -0*j. Suppose 13 - 1 = j*v. Sort w, 1, v in increasing order.\nAnswer: 1, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m = -50*m + 30. Differentiate -18 + 54*f**2 + m*f**4 - 54*f**2 with respect to f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31216402 and 17438.\nAnswer: 31233840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4619895.85 plus -0.1?\nAnswer: 4619895.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/10*-17)\/((-41)\/(-410)*-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518583999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**2 + 19010252*b - 38020488 = 0.\nAnswer: 2, 4752561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 + 363*j**2\/4 - 43923*j\/4 + 1771561\/4.\nAnswer: -(j - 121)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 267 - 18 = 0. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 22, -53, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679.4422 tonnes to nanograms.\nAnswer: 679442200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 o when three letters picked without replacement from wowwvpppopopwoopo.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:13 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 509939*s**2 - 3*s + 1. Let b be d(2). Let v = b + 2600874. Suppose v = -4*k - 1599375. What is k rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 + -82. Put 2, 2\/17, d in descending order.\nAnswer: 2, 2\/17, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntwx when four letters picked without replacement from {x: 1, n: 1, t: 1, e: 1, w: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 10652*y.\nAnswer: 2*y*(y + 5326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3 + 0)*-21. Let m = c - 7. Let h = m + 2. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f - 8*f + 187*f - 6225 = 0. Solve -52*m - 337 = -f for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 14*s**3 - 46*s**2 + 2*s**4 + 90*s**2 - 42*s**2 to l*s**3 + p*s**4 + h + m*s**2 + v*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 4 + 12*t - 2 in the form u*t + r and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 + 390 - (-6 + 58 - -2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 7 + -4)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91050473?\nAnswer: 107, 149, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -996431.\nAnswer: 2\/996431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 2 - -18 - (-7 + 5)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63 times -0.4?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwwwp. What is prob of picking 3 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85621\/88395 - 137\/415. Let l be ((-10)\/(-71))\/5*1. Let y = l + z. What is the nearest to y in 0.1, -0.4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (270\/4)\/(-5)*(-50)\/75\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -113 - -118. Suppose x*a - 287 = -3*r - 114, -4*a - r + 137 = 0. Let p be (12\/5)\/(4\/510). What is the highest common divisor of p and a?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 (base 4) in base 8?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 + 136. Let a = -39.0532 + x. Round a to 3 decimal places.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -64, -130, -218, -328, -460, -614, -790?\n\"Answer: -11*l**2 - 33*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from rrsnrrrrpssvpsr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10680\/16 - ((-5)\/(-2) - 3). Solve -7*d - 696 + t = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11869.\nAnswer: 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 832384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1. Let d(s) = -s**2 + 11*s - 24. Let c be d(5). Let l(y) = -2*y**2 + y - 10. Calculate c*i(r) + l(r).\nAnswer: -2*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r, -f = -4*r + 5 - 3. Let i(w) = 96*w**2 - 64*w**f - 69*w**2. Let n(b) = 3*b + 3*b - 4*b. Calculate i(n(c)).\nAnswer: -148*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 28 = -g, -y = -2*g - 6*y + 19. Let v be 0 - g - -11 - 2. Let f = v - 9. Solve 1 = f*l - 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285710256 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 63*25)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29625 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34849 = -132*s + 34453 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -53, 8, 5, 4, 13 in decreasing order.\nAnswer: 13, 8, 5, 4, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 4593.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 486\/19 (b) -2 (c) -0.4 (d) -4888\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let x = -10.6 + 8. Let p = x - -3. What is the nearest to 1 in 0.2, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*k - 10, 0 = -4*a + 2*k + 2 + 6. Solve -a*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -9*x + 4*x + 52, -5*x + 37 = t. Suppose -l - l + x = 0. Suppose 6*m - 5*g - 47 = 3*m, l = 2*g. Solve 3*r - m = f, -17 = -4*r + 2*f + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -9 (c) -13874587\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -0.4, -2\/13, 10.8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19911 is divided by 3974?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 50 = 4*z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 23*k**2 - 45*k - 29. What is the tens digit of y(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/79 and -77\/2?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*g**3 - 31*g**2 + 125956*g wrt g?\nAnswer: 1248*g - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**9\/14 + a**7\/210 + a**6\/60 + 2541*a**5\/20 - 5011*a**2. Find the third derivative of x(z) wrt z.\nAnswer: -4320*z**3 + 24*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 (base 8) to base 14\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**2 - 6*p + 3. Let g be w(-3). Let l(u) = 3*u**2 + 47*u - 34. Is l(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 3192594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**10\/(r*r**6)*r\/((r*(r\/(r\/((r**(-1\/8)*r)\/r*r)))\/r)\/r)*r\/r**(-9\/7) assuming r is positive.\nAnswer: r**(359\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**3 + w**4 + 3*w**3 + (-w**3 - 3*w**3 + 2*w**3)*(-1 + 1 - 2)*(5*w - 2*w - 2*w) as y*w**4 + r*w**2 + n + a*w**3 + c*w and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:07 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - h**2. Let g(m) be the second derivative of -3*m**5\/10 - m**3\/3 + m. Let j(v) = -4*d(v) - g(v). Factor j(x).\nAnswer: 2*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 3054542051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*j - 281*j - 1456 = 0. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:57 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 18*j**2 - 549*j + 2958. Calculate m(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4002412, -8004821, -12007230, -16009639?\nAnswer: -20012048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - -3.8069993050357?\nAnswer: 14.8069993050357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5006871, -10013743, -15020615, -20027487, -25034359, -30041231?\n\"Answer: -5006872*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 12 = -2*l, 5*l + 1 + 4 = -5*i. Suppose 3 = -2*g - g + 3*v, -5*g - v = -13. Put l, g, -2, 0 in ascending order.\nAnswer: l, -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 4*l**4 - 2*l**4 - 2*l**4 + 0*l**4 + l**4 + (l**3 - 3*l**3 + 0*l**3)*(-6*l + 2*l + 2*l) + 11*l**4 + 2*l**4 + 3*l**4.\nAnswer: 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/9)\/((-3)\/(-54)). What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/13, -0.4, 18?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(3564)*-1)\/sqrt(4) + 1 - (5*sqrt(99)*1)\/(3*sqrt(18)\/sqrt(2)).\nAnswer: 1 + 25*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-7))\/(r*r**(1\/8)))\/(r**(4\/5)\/(r*r*(r\/r**(-1))\/r)))**16 assuming r is positive.\nAnswer: r**(-394\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2*r = -22, g + 8*r - 12*r = 2 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 282\/(-4)*((-280)\/24 - -11). Suppose -g = -4*d - 79. Put d, 5, 13 in descending order.\nAnswer: 13, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5881111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*c + 347 = -98*c - 173 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1421, -2841, -4261, -5681, -7101, -8521?\n\"Answer: -1420*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/(9\/12). Let s be (-5)\/10*-1*(1 + 3). Solve 3*b = -s*y - 7, -4*y - t*b - 2*b - 4 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 2 + (-1 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 + 4*u**2 - 3*u - 2. Let q be g(-3). Let o(p) = -p - 6. Calculate o(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*k + 9111 + 16630 - 661 = 0. Is -528\/7 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 47*m - 216 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 2*x. Let m(d) = 4*d**2 + 5. Let b(l) = -m(l) + 3*u(l). Give b(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4996, 9928, 14856, 19780?\nAnswer: 24700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112112 - -11?\nAnswer: 1112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-63))\/((-5)\/12)*70\/(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -0.3, -5, 1 in decreasing order.\nAnswer: 30, 1, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2 - 5*l - l + l**2 - 1. Let c be (-7 - -2) + (-10 - -21). Give v(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 36 = -0*n. Suppose -4*q + 7*f - 2*f = 88, 0 = q + 3*f + 22. Let z = 67 + q. What is the remainder when z is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.9 + 4.25. Let h = 0.59 - f. Let x = 0.2399945 - h. What is x rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 0*m**6 + 0*m**5 + 0*m**4 + 0 - 10*m + 11\/42*m**7 - 1\/2*m**3 + 0*m**2. What is the second derivative of l(t) wrt t?\nAnswer: 220*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49096 or -638240\/13?\nAnswer: -638240\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 197\/8250 and -79\/107910?\nAnswer: 2697750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 - 12*b**2 - 2. Let d be t(6). What is the hundreds digit of (-12)\/(-54) - d\/(-9) - -218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 1238570*c**2 - 4 + 2*c + 27 - 1238564*c**2. Let v be 1\/(1*2\/(-14)). Is a(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 241*j**2 + 0*j + 223*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4c + -48638?\nAnswer: -485ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 87?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/11 + 198850*t\/11 - 1789488\/11 = 0. What is t?\nAnswer: 9, 99416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d + 70*d = 39004. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1181*v = 235*v - 710*v - 36432 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587935 is divided by 2028?\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16022 and -22.\nAnswer: 352484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + (-4*(1*sqrt(119) + sqrt(119) - sqrt(119)))\/sqrt(7) + sqrt(153)\/(sqrt(27)\/sqrt(48)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (21\/(-1))\/((-10)\/70). Is v greater than 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4047, -4099, -4151, -4203, -4255, -4307?\n\"Answer: -52*o - 3995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 63. Calculate p(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296487919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 0.16. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.63 + 1.5284. Let t = j - -0.1. What is t rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27, -26, -25?\n\"Answer: b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -42*c**4*u - 25*c**4 + 135*c**3*u - 988863*c**2*u wrt c?\nAnswer: -1008*c*u - 600*c + 810*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 986\/22 - ((-384)\/(-66) + -6). Let n(x) = -x**3 + 4*x**2 - 3*x + 6. Let a be n(4). Let q = o + a. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*y + 4*y**2 - 51*y + 61 + 7.\nAnswer: 4*(y - 17)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/27 - -19\/54. Which is the third biggest value? (a) 10 (b) 2 (c) i (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -43. Let w(u) = -52*u**3 - u - 2. Let m be (-12)\/10 + (-2)\/(-10). Let l be w(m). What is the greatest common factor of l and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*m + 11 = -0*q, -3*m = 3*q - 12. Let a(c) = 2*c - 9. Let y be a(6). Let h = 5 - y. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 7*m - 3. Let q be b(-7). Let f be (-3 - 1)*15\/(-6). Suppose -5*c + f = -6*c. Put -1, q, c in ascending order.\nAnswer: c, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*m + 22 = -114*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.26, -2\/9, 0.13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -7 (b) 4\/3 (c) -0.3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 - (-1 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 3 (b) 2\/11 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*-1)\/sqrt(2))**2 + (sqrt(3) - (sqrt(3) + 0))*1 - (sqrt(24)\/(2*sqrt(8)) - -2*sqrt(243)).\nAnswer: -37*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -2552527.\nAnswer: 2552522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34143+-1.3\nAnswer: -34144.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -586927, -587145, -587363, -587581, -587799, -588017?\n\"Answer: -218*k - 586709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (133\/(-133))\/(69\/6)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175151 is divided by 879.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((735\/(-36))\/(-35)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4384.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8731074 nanoseconds to minutes.\nAnswer: 0.00000000001455179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -42800000 to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 23 + (-6)\/(-3)*6\/4. Find the first derivative of -z**3 + u*z**3 - 5 + 18 wrt z.\nAnswer: 75*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14965349 + 0.2.\nAnswer: 0.05034651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvajvvaa. What is prob of sequence av?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 17 - 5. Let w be ((-4)\/(-5))\/(6\/(-30)). Sort -1, w, 1, b in decreasing order.\nAnswer: b, 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 l when four letters picked without replacement from {j: 1, s: 2, y: 2, n: 1, l: 2}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58368 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 66488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424 - 3788 = -116*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22777 divided by -240\nAnswer: 22777\/240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1693*s + 1721*s + 6038*s.\nAnswer: 9452*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -74093.40621 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -9, 2\/129, 3.347, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-807*l**3 - 4019*l**2 + 4019*l**2)*(2*l + 0*l - 3*l) - l**4 + 0*l**3 + 0*l**3.\nAnswer: 806*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1507530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1101*v + 3 - 580*v - 3 - 517*v. Let c(a) be the second derivative of -a**4\/4 - a**2\/2 + 5*a. What is s(c(g))?\nAnswer: -12*g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 - 18657970*a**2 - 74631820*a - 74631800.\nAnswer: -5*(a + 2)**2*(a + 3731590)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 16 + 10)*(2*q - 15*q - 8*q + 0*q).\nAnswer: -903*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.94 + -6. Let x = 0.04 - n. Let v = -2.9 - x. Which is the smallest value? (a) 0 (b) v (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.83474 plus 14815?\nAnswer: 14793.16526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3166859 is divided by 5399?\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdhchedecdecccccc. What is prob of sequence dc?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-190)\/(-19))\/(10\/(-8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13))**(5\/2) assuming o is positive.\nAnswer: o**(-5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l - 2*y = 22, -3*l = -y + 29. What is the third biggest value in 0.4, 3\/2, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51 + (13 - (-32 - -3))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**19\/a**(3\/2))**(-28) assuming a is positive.\nAnswer: a**(-490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.2 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*h - 26*h + 496*h - 1.\nAnswer: 698*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1\/23 in descending order.\nAnswer: 1\/23, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5145, 5234, 5385, 5604, 5897?\n\"Answer: x**3 + 25*x**2 + 7*x + 5112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-8))\/((-1)\/4). Let r be 2\/((-35)\/m - 3). Solve -5*d + r = 4*b, b = 5*d + 8 + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 11*m**2 + 43*m + 5. Determine f(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(98))\/sqrt(7))\/(sqrt(63)*1))**2 + -2.\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 664*f**2 - 20014*f - 83720 = 0 for f.\nAnswer: -299, -28, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/16 of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s - 4*s + s)*(-s - 2 + 2 + (54 - 54 - 3*s)*(-3 - 1 + 2)) as y*s**2 + x + i*s and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 527991.5 days?\nAnswer: 12671796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 22 - 14 = 0. Let u = 23\/2 + c. Are 0 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2311*b**2*h + 10694*b**2 - h**2 wrt h?\nAnswer: 2311*b**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -266.03 - -266. Put -0.3, -50, o in descending order.\nAnswer: o, -0.3, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240787367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Round -57.1598 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 6 + 14 + 6*a)*(-4 + 3 + 3) as v + o*a and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 1. Let m(v) = -v**3 + v**2. Determine 5*m(h) + x(h).\nAnswer: -5*h**3 + 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010 (base 3) to base 10.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xt when two letters picked without replacement from {a: 4, o: 2, x: 1, t: 9, s: 4}.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1523663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*u**5 - 9204174*u**4 - 7932763*u**2?\nAnswer: -120*u**2 - 220900176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 733454 and 733467 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 670097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 77*y - 1305. Is w(-22) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f**(-26)\/f)*f*f)\/f*f)\/((f**(-2\/13)*f)\/f))\/(f**(-31))**(-1\/46) assuming f is positive.\nAnswer: f**(18227\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 50113.\nAnswer: -10022.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*x = 15, -3*x - 58 = -5*o + 7. Calculate the remainder when 64 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -58\/77 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = -5*g, -4*g + 2*k + 5 + 5 = 0. Suppose -m + g - 5 = 0. Let n = 15 + -19. Which is greater: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*l + 0 + 0)*(-12*l - 15*l + 26*l) + (-3*l + l + l)*(2*l + 2*l - 5*l) - 6*l**2 + 4*l**2 + 0*l**2 - l - l**2 + l as k*l**2 + y + u*l and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - q + q + q - 5 + 5 + (-2*q + 2*q - q)*(0 + 3 - 4) + q - q + 2*q + 2 + q - 2 - q - 2 + 2)*(-71*q + 1 + 98*q + 90*q).\nAnswer: -117*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 536006239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 360.1 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let s(n) = -18*n + 1. Let a(i) = 19*i - 2. Let d(c) = -5*a(c) - 6*s(c). Determine d(h(m)).\nAnswer: -13*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18228 + -14040. Calculate the remainder when 12567 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = 0, 4*x + r + 2*r = 25. Let d be (2 - 2)\/(x + -3). Factor -t - 4*t - 2*t**2 + 3*t + d*t.\nAnswer: -2*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = -3*t, t - 3 = 2*t + 5*g. Let c be (2 - t)\/(-1 - -2). Solve c = -n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 12 = -3*o, -6 = 11*w - 8*w - 5*o. Let h = -3 - -2. Let p be (2 - w)\/(h\/(-3)). Let t(u) = u**2 + 6*u + 4. Calculate t(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170852245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 + 8*q**3*v + 2*q**3 - q - 8*v wrt q?\nAnswer: -24*q**2 + 48*q*v + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -16. Let t = -4 + x. Let w = -345 + 345. Solve 0 = -t*k - w*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320*d + 102 = 326*d. Let a = -10 - -16. Let r be 6\/10*(a + 4). Solve -4*s - j + r*j + 7 = 0, -d = 4*s + 3*j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((55\/5)\/231)\/((-2)\/4).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15*z**2 + 3*z + 5. Let q(m) = -m**3 - 6*m**2 - 2*m - 8. Suppose 4*r = 5*r + 4*i + 22, -26 = r + 5*i. Let p be q(r). Is n(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2003331012010 + -3?\nAnswer: 2003331012001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/10, 2, -22, 5.\nAnswer: -22, -2, 1\/10, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 6704*b + 6700*b - 3, -4*u = -2*b + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 9*h + 11. What is b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -28, 2658 in ascending order.\nAnswer: -28, 10, 2658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 - 101.9. Let x = 16.2 - j. Let l = 3\/34 + 4\/51. What is the second smallest value in -10, -3, x, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 2*k**2 + 63. Let s be x(0). Let z be s\/(-13) - ((-168)\/(-78) - 2). Calculate the remainder when (z - 9\/(-3))*-1*101 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.25 (b) 1\/6 (c) 0 (d) 0.2 (e) 1.2 (f) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -8*c**2 - 51*c + 45. What is the tens digit of z(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1468 and 29167692?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((4\/32 - 3175\/(-520)) + -6)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 368 = 4*a. Suppose 0 = 16*t - a - 356. Calculate the greatest common divisor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*t + 18, -2*u - 9 + 0 = 3*t. Let w = -3 - t. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 6 = 14*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 6*i + 7*i + (1 - 1 + i)*(-3 - 3 + 4) as u + s*i and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**5\/20 + 2*q**4\/3 + 5*q**3\/6 - 19*q. Is 15 a factor of z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 141 = 3*t - 146, -3*p = -3*t + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((24\/(-5))\/(-4))\/((-16)\/40).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225 divided by 159733?\nAnswer: 2225\/159733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcm when three letters picked without replacement from akccccrcrmkck?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.355941741 to two dps.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 10. Which is the second biggest value? (a) g (b) 0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 7. What is the common denominator of 37\/4 and f\/(-8)*(-65)\/(-52)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 509870*q**4 + 2*q + 1119051 wrt q.\nAnswer: 6118440*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + ((-3150)\/(-1400)*(-7)\/3)\/(3\/(-4))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.055 + -5.605. Let t = -5 - f. Let p = t - 0.3. What is p rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirty-four fifths of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -3*x - 87, -105 = -1092*a + 1087*a - 5*x for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 4*o + 28, -3*o - 5 = 5*q - 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsyetly. Give prob of sequence ny.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/4 - 17*b**2\/2 + 63*b\/4 = 0. Calculate b.\nAnswer: 0, 7\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/1501 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 - 15*m**2 + 163*m + 935. Give k(-11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k + 64 = 39*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91 (base 10) to base 7.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14341934 to the nearest integer?\nAnswer: 3787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:22 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12. Let b(u) = u + 16. Let t be b(f). Let g = t + -19. Is -3 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.4? (a) -9 (b) 1.1 (c) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 197266021 at most as big as 197266021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 14*n. Let i(c) = -3940*c. Give i(r(q)).\nAnswer: -55160*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.2 - -150.2. Let a = 144.999968 - x. Round a to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -12\/77 (b) 2 (c) -1.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -11577*c + 6. Let a be l(-7). Suppose -2*p - 15499 = -a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12574867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*g**2 - 4*g + 652*g**2 + 746*g**2 + 29*g**3 + 3*g + 848*g**2.\nAnswer: 29*g**3 + 2582*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00210201 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3561680, 3561630, 3561584, 3561542?\nAnswer: 3561504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397 - 337. Put -8, 5, v in ascending order.\nAnswer: -8, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -52*y + 28*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*u + 19 = -40*u. Suppose -2*c = u - 61. Let j = 759 - 528. What is the highest common divisor of c and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:28 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -2231*k**4\/4 + 97*k**3\/3 + k - 2099. Find the third derivative of y(l) wrt l.\nAnswer: -13386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/121 greater than or equal to -80706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11944766 divided by -13\nAnswer: -11944766\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*(1 + sqrt(847)))**2 - sqrt(84)\/(sqrt(192) - -4*sqrt(192))).\nAnswer: 1759*sqrt(7)\/20 + 3397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 1. Let r(x) = -3*x. Let t(d) = 6*i(d) + 4*r(d). What is the first derivative of t(h) wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -1. Let p(y) = y**2 - 39. Let c(a) = -g(a) + p(a). Let f(b) be the first derivative of c(b). Let r(q) = 7*q**2. What is r(f(m))?\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*m - y, -5*m - 5*y + 55 = -0*m. Let r be 78\/(-4) + (-8)\/m. Let p = r - -60. Does 20 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**3 - 13*m**2 - 17*m - 11. Let p(d) = 9*d**3 - 25*d**2 - 32*d - 21. Let g(z) = -4*p(z) + 7*u(z). Give g(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1516 = -5*j - 386. Let l = 86 - j. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + u = 0. Suppose u = -b - 12 + 35. Let z = 30 - b. What is the remainder when 33 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 i when four letters picked without replacement from jauiaijijaiij?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*w + s - 19, -12 = -4*w - 4*s. Find the second derivative of f + 2*f - 3*f**w + f**5 wrt f.\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 20 = -5*y, -2*j - 2*y - 20 = -28 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131797.4 years to millennia.\nAnswer: 131.7974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y. Let i(p) = 63*p - 19572. Determine i(m(b)).\nAnswer: -252*b - 19572","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r. Let t be 12\/3 - (-2 - 13 - -9). Let z(a) be the third derivative of 0 + 0*a**4 + 1\/20*a**5 + 0*a + 0*a**3 - t*a**2. Calculate z(g(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 589 or -23376?\nAnswer: 589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127160579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.14733 litres?\nAnswer: 9147.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 67760912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 + g + 25. What is the tens digit of q(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*h + 383 + 41, -4*p + 4*h = -344. What are the prime factors of p?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.14847 to 1 dp.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (192 + -2)*((-1242)\/135 - -10) and 190?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 124*y + 1420. Let j be c(-10). Calculate the greatest common factor of j and 2196.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -13 - 11. Let s = -16 - g. What is the lowest common multiple of ((-18)\/s)\/((-6)\/(-8)) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*a**4 - 39330*a**2 - 4818718*a wrt a?\nAnswer: 300*a**2 - 78660","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + (-1 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/12*-54 - 32. Let d(q) = -q**2 + 3*q - 1. Let a(u) = u**2 - 3*u. Let h(l) = 4*a(l) + 5*d(l). Calculate h(f).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllhhhvlvyyk. Give prob of sequence yhhk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**3 - 51*n**2 + n + 39. What is the lowest common multiple of (2 - (-405)\/5) + 3 and k(-17)?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*o = 35, 4*o + 5154 = -4*j + 5166 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -5173976 (c) 5 (d) 0.8 (e) -0.3 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**2 + 4*c + 4. Let p(m) = -176*m**2 + 99*m + 99. Let n(g) = g**3 - 19*g**2 - 29*g + 81. Let f be n(20). Determine f*b(i) + 4*p(i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 54 = 4*p. Let y be 35*((-1)\/(-3) + (-18)\/p). What is the first derivative of -5*k**4 - 44 + y - 6*k**4 wrt k?\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -4\/7 (c) -177 (d) -71\/3 (e) 0 (f) 0.12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 1\/2*s**4 + 0 + s**2 - 1\/2*s**3 + 29*s. Let b(v) = v**2 - v. What is 3*b(n) - o(n)?\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*j = -340, -4*z - j - 155 = -623. Let p = z - 63. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)\/((t**(-9)*t)\/t))\/(t**(-20))**50)**39 assuming t is positive.\nAnswer: t**39078","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m**3 + 10*m + 9. Let a(h) = 9*h**3 + 9*h + 8. What is -7*a(z) + 6*t(z)?\nAnswer: -3*z**3 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9630 - -9623. Let i(d) = 4*d - 7*d - 20 + 0*d. What is the units digit of i(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5430*p + 10855. Determine s(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 4, l: 5, e: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8*8 - -9. Suppose 3*n + f*g = 881, g + 887 = 3*n + 3*g. What is the greatest common divisor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 5*j = -74*j + 138816. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/24*2*8\/21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202 (base 3) to base 8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -257 - -261. What is the smallest common multiple of t and 186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 635, 651, 681, 725?\n\"Answer: 7*r**2 - 5*r + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7684715323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -970990\/9 or -107888?\nAnswer: -107888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 2*l - 1. Let i be k(-3). Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 117.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -904*f*o**3 + 24*f*o**2 - 9*f*o wrt o?\nAnswer: -5424*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 10 = 13*r, 2*o + 4*r = -26 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -301*p**5\/10 + p**3\/6 - 3417*p**2\/2 - 478*p. What is the first derivative of q(c) wrt c?\nAnswer: -1806*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lshpv. What is prob of sequence sl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000157402129 rounded to five dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7011*k. Let o(l) = 3508*l. Calculate 9*o(v) - 4*t(v).\nAnswer: 3528*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h - 277*h**2 - 1\/180*h**5 + 0 - 1\/12*h**4 + 1\/360*h**6 + 0*h**3. Factor i(a).\nAnswer: a*(a - 3)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdnnhjdhdh. Give prob of picking 1 j and 1 n.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65549.\nAnswer: 11, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197432?\nAnswer: 2, 23, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 23*m**2 - 168*m - 114. Calculate the least common multiple of 1790 and b(29).\nAnswer: 10740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x\/(x*x\/(x*x*x*x*x**(-7)\/x*x))))\/(x*x\/x**8*x))**47)**21)**(-35) assuming x is positive.\nAnswer: x**(-345450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38\/4061485 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -5*g**4 + 180*g**3 - 510*g**2 + 500*g - 165 = 0.\nAnswer: 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -812 - -808. Let c = -26 - -21. Sort c, -3, n.\nAnswer: c, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15184 or 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831428839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 6. Let o be ((-1)\/(-1) - 1)\/h. Suppose o = 7*g - 4*g - 57. What is the remainder when 73 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120365?\nAnswer: 5, 7, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -10021?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(sqrt(42)\/((sqrt(24)\/sqrt(2))\/sqrt(2)) - (4*sqrt(77)*-6 - sqrt(77))\/sqrt(11)))**2*6.\nAnswer: 766584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12112 + 11?\nAnswer: 12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 15 - 2*f**3 - 15 + 5*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 7. Suppose 0*b - 3*b + 5*n - 12 = 0, -3*b = 4*n - 15. Suppose -5*i + f = -26, f - 3 = -i + b. Determine w(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -229\nAnswer: -3\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.8457 + -0.1543. Suppose 4*r = s + 75, 3*r - 3*s = -4*s + 65. Sort 2, r, -0.4, z in decreasing order.\nAnswer: r, 2, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -182.8, -2, 29, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248445993.\nAnswer: 1248445993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 86 + ((-2562)\/504 - (-2)\/24). Calculate the greatest common divisor of 333 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34173 * -9.\nAnswer: -307557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of t**2*v - 2*t**2 - t + 49*v wrt v.\nAnswer: t**2 + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - c = 15, 4*c - 6 = -0*b - 5*b. Calculate the lowest common multiple of b and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -804*a - 5646. What is l(-7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109*m + 112*m - 206*m)*(-9 - 5 + 8).\nAnswer: -90*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -1\/10, 4\/71, 4, -1\/3, 14 in increasing order.\nAnswer: -1\/3, -1\/10, 4\/71, 3\/5, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5\/2 + 13*x**4\/2 - 5*x**3\/2 - 333*x**2\/2 + 162*x.\nAnswer: x*(x - 4)*(x - 1)*(x + 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26740860 divided by -891362?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17315 + 442*t + 17315 to j*t + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3859*w - 12216.\nAnswer: 3859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxfx when four letters picked without replacement from {f: 14, x: 4}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.864988ml to litres.\nAnswer: 0.005864988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 125*p**2 - 62*p**2 - 68*p**2 as n*p**2 + k*p + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 5. Let m be a(4). Suppose m*n = -1051 + 196. Let c = 2575\/9 + n. Find the common denominator of 40 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**3\/3 + 2*m**2 - 4*m - 4. Suppose 8*r + 27 - 115 = 0. Calculate the remainder when r is divided by w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 5*n**2 + 9*n - 15. Let f be a(6). Suppose 0 = 3*h + v - 227, h + 5*v = f*h - 140. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 79 = -78. Put 17, 5, f, 2 in decreasing order.\nAnswer: 17, 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*q - 31 = -4, -4*z + 28 = -4*q. Suppose i = 2*k - 44, 36 = 5*k - z*i - 71. Calculate the greatest common factor of k and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9+-0.892\nAnswer: -9.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 3:46 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5 + ((-6*(sqrt(70) + sqrt(70)*1) + -4*(sqrt(70) + -1*sqrt(70)))\/(sqrt(1000) + sqrt(1000)*-1*-2 - sqrt(1000)))**2.\nAnswer: 63\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353991614.\nAnswer: 2, 3, 29, 7781561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-2))\/((-5)\/(-60)). Solve h - 4 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42110379 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -530, -1828, -4372, -8582, -14878, -23680?\nAnswer: -35408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.338 rounded to two decimal places?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -726 + 747. Suppose -p*t = -45*t. What is the nearest to t in 4\/5, -3, -7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -191*s**7\/210 - 75*s**3\/2 + 930*s**2. Find the first derivative of t(j) wrt j.\nAnswer: -764*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + 251100431?\nAnswer: 251100404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-3))\/((-31)\/(-33) + -1). Suppose 6 = 5*w - 2*w + 3*x, -2*x - 45 = -5*w. Let h be 4\/(-8) + w\/2. Solve -3*r - 5*m - o = -h, -4*r = -3*m - 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251842?\nAnswer: 2, 125921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -2012123?\nAnswer: -2012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:46 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 5 - 14 = -w, 11 = -3*w + 5*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -37 - 23. Solve 4*o + 2 - m = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 10*b + 4*s + 86, 5*b = 5*s - 50. Sort -1, b, 0, -7 in decreasing order.\nAnswer: 0, -1, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 133 + 86)*(-v - 2*v + 0*v) + 2 + 0*v - 3*v + 2*v.\nAnswer: -502*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/28364 and 15\/308.\nAnswer: 312004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 20 = -4*f, -5*x + 7 = 4*f. Let d(w) = 2*w + 19. Let n be d(-8). Let m = n + -5\/2. What is the second smallest value in x, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 9 = 3*d. Suppose 0*f = d*f - 9. Suppose 40 = f*w + 4*a, -4*a - 7 = 1. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 0.05, -23, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2243.84 - -2297.8482. Let p = k - 54. What is p rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011 - -11101110111011110?\nAnswer: 11101110111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 20*l + 81 + 131*l**2 - 64*l**2 - 66*l**2. Calculate the remainder when b(-21) is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2 (b) 7443\/8 (c) 0.58 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 612 - 1165. Let n = -469 - a. Calculate the greatest common divisor of n and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48168?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4401 and 0.3?\nAnswer: -1320.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*v**2 + 199905*v + 299880 = 0. What is v?\nAnswer: -3\/2, 19992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2*l - l)*((l + 2*l - 4*l)*(-l + 6*l - 2*l) + (-50*l**2 - 14 + 14)*(-5 + 0 + 3)) to the form q + u*l + f*l**3 + o*l**2 and give f.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.407 - -780.593. Let a = 742.7 - g. What is a rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 12*r**2 - 15*r + 24. Let q be y(8). Suppose -13*w = 3*w - q. Is (26\/(-4))\/((-1)\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1168614*h**4 + 1634390?\nAnswer: -4674456*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -1 - -3) + -2 + -3 - 12?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6\/(-4)*(-17248 + -254)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*r**4*z + 463880*r**2*z + 2208662*z + 9 with respect to r.\nAnswer: 104*r**3*z + 927760*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i**(1\/3)*i*i)\/i)*(((i*i**5)\/i)\/i)\/i)**(9\/7))**(-3\/7) assuming i is positive.\nAnswer: i**(-45\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873528463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**3 - 12. Let c(j) = 5*j. Calculate c(i(z)).\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004834968 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 2, 1\/6 in descending order.\nAnswer: 2, 1\/6, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 3*d + 3. Let j(b) = b**2 - 5*b + 2. Let o be j(3). Let a be y(o). Let r = a + 42. 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: What is the remainder when 284826 is divided by 368?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.838425 to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 10876175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 699*c - 6*c**4 - 1369*c + 25*c**3 + 0*c**4 wrt c.\nAnswer: -72*c**2 + 150*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/54*-4)\/(3\/2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k - 4. Let j(g) = -93*g. Let z(h) = -448*h. Let x(l) = 24*j(l) - 5*z(l). Give d(x(p)).\nAnswer: -64*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 20. Let c be h(-20). Suppose 5*s - 2 = -4*p, 0 = 3*p + 6. Let b(u) = 0*u - 13*u**s + c*u + 12*u**2. Let t(v) = -20*v. Calculate b(t(d)).\nAnswer: -400*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31*33\/22506*-6?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p**2 - 2901*p - 2*p**3 + 38*p**2.\nAnswer: -2*p**3 - 2901*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let t(d) be the second derivative of -d**2\/2 + 2*d. Let r(h) = -t(h) - 2*x(h). Suppose 7*u = -5*q + 3*u + 2, 11 = -4*q + u. Give r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 2*o - 8. Calculate the common denominator of -19\/8 and ((-33)\/o)\/3*7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -179389.44 rounded to the nearest 100?\nAnswer: -179400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, k: 1, l: 1, o: 2, t: 2}. What is prob of picking 1 o and 2 t?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from {g: 2, a: 1, b: 2, e: 1, f: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -439\/138 - 15\/23. Suppose x + 2 + 3 = 0. What is the common denominator of w and 141\/(-20) + 1\/x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24958739, 49917502, 74876265, 99835028?\n\"Answer: 24958763*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*m - 1752, -8*q = -2*m - 3*q - 1761. Let o = -862 - m. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6842784 or -6842722?\nAnswer: -6842784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4*z + 28 = 0, -2*k - 2*z + 7 = -11. Suppose -k*y - 13 = -1. Calculate the common denominator of (-1)\/y + (-62)\/12 and -1\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 10*u**2 + 6*u - 2. Let i be q(10). Let r = i - 56. Suppose -4 = -4*s - r*h, s + 0*h + h = 1. Solve c + 1 = -s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.02306km in centimeters?\nAnswer: 4702306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/12*(-6)\/63.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 + f + 3. Let r be 3 - 28\/(6 - -1). Let s be r*0\/(-6) - 3. Determine t(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13d - 5978?\nAnswer: -5ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6781528 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(539) + 1.\nAnswer: 4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 - 5*c**2 + 5*c - 8. Let w = 9801 - 9796. Let f(s) = 5*s**3 - 4*s**2 + 4*s - 7. Determine w*f(n) - 4*d(n).\nAnswer: n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (16 + -49 + 15) - -13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 + t**2 - 4*t**3 - 4*t**2 as o + d*t**3 + c*t**2 + l*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123184753*-0.2.\nAnswer: 24636950.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 995670 and 2478.\nAnswer: 411211710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 1a85b228?\nAnswer: 1a85b231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 9. Let a(k) = -k - 1. Let b(q) = q**2 - 11*q - 11. Let v(h) = -22*a(h) + 2*b(h). What is w(v(p))?\nAnswer: 8*p**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12295, 12299, 12303, 12307, 12311?\nAnswer: 12315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 142942 to the nearest 1000.\nAnswer: 143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1112 - -1122. What is the highest common factor of 40 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4885707 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44024382 is divided by 6746?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-2 + 3) + 0. Let h be 2 + 1 + -1 + 3. Suppose 5*j - 35 = -h*w - 0*w, c = 3*w + j - 25. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -542*v**3 - 362722*v**2 - 965832174*v wrt v.\nAnswer: -3252*v - 725444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**5\/7 + 4*c**4\/7 + 2*c**3 + 8*c**2\/7 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2736, 10928, 24552, 43584, 68000, 97776, 132888?\n\"Answer: -4*a**3 + 2740*a**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-39)\/84 + 15\/20. Suppose 4 = 2*o + 2*o. Are u and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 5915?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxpxxpxpp. Give prob of sequence ppp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + c + 1)*(-2*c + 2*c + 2*c) + 3*c**2 - 6*c**2 + 4*c**2 - 1 + 1 + c**2)*(3 + 4 - 16 + 2*c).\nAnswer: 8*c**3 - 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(20\/12)\/5. Solve -9 = q*a + 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/635001 and 62\/357.\nAnswer: 4445007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)*(g\/g**(-2\/19))\/g)**(-21)\/((g\/g**(3\/7)*g**5)\/(g**1)**(1\/4)) assuming g is positive.\nAnswer: g**(74197\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.33 - -0.4. Let h = t - 0.87. Let q = -0.2 + h. Which is the nearest to q? (a) -3 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12185 - -20546. Is o\/(-15)*-1 + 2\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 11\/3. Is o >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-4)\/8*1)\/(-10))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4861 = -5*v + 5*p + 4179, v - 5*p = 1820. Suppose 9*s - v - 13 = 0. What is the tens digit of -12 + s - (4 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793063 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdazzzzddazzdzdzazzz. What is prob of picking 2 d?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -389\/3 + 131. Let j = 22.66 + -22.56. What is the nearest to j in -2\/5, q, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.34 - 10.5662. Let l = 151.0538 - k. Let s = -154 + l. Round s to one decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 15*a**2. Let g = 10 + 3. Let u be (-12)\/66 + 64\/(-11). Let y(j) = 7*j**2. Give g*y(v) + u*s(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7060, 14122, 21184, 28246, 35308?\n\"Answer: 7062*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78032 greater than or equal to 390156\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)*m*m\/m**28*m*m assuming m is positive.\nAnswer: m**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v - 5. Let d(y) = 33*y + 21. Let q = 46 - 67. Give q*k(o) - 5*d(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 16. Let m = -7 + j. Solve 3 = -2*q + m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*u**2 + 2 - 45*u + 23*u**2 + 23*u in the form x*u + f*u**2 + s and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*w = 277*w - 36 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g + 0*g + 5*g)*(2 + 2 - 2) - 4*g - g - 4*g)*(-g**2 + 2*g**2 - 2*g**2).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*h**4 - 3*h**4 + 14 - 5*h**4 wrt h?\nAnswer: 32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 + -121. Solve 2*a - 8 = 2*x - t*a, -4*x - 5*a = -20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20, 49, 82, 119, 160, 205?\n\"Answer: 2*a**2 + 23*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t*t\/t**(-3))\/(((t**(2\/5)*t)\/t)\/t**(5\/2)))\/(((t*t**(3\/7))\/t)\/t**0*(t**(-1))**(-2)) assuming t is positive.\nAnswer: t**(327\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 15 = 3*a - 2*v, 0 = 4*a + v - 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2475 is divided by 109.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 9. Let t be l(-4). Suppose -2 = 2*f - 0*v - 2*v, -3*v = f + t. Let s be 4\/(-11)*4 - f. Sort 1, -8, s.\nAnswer: -8, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945 = 3*u + 960 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -572296700 to the nearest one hundred thousand.\nAnswer: -572300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-3))\/2*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h**2 - 1650*h + 6793. Give w(-154).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 165948707, 165948711, 165948717, 165948725, 165948735, 165948747?\n\"Answer: w**2 + w + 165948705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 4*y)*(5 - 13 - 3)*(3 - 3 - y) + (-2*y + y - 2*y)*(1 - y - 1).\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -29. Let z(o) = o**3 + 6*o**2 + 2*o - 6. Let p be z(j). What is the greatest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -10.5. What is the second smallest value in y, -3\/13, 0.2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 65 - -10665?\nAnswer: 10752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1515581069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 - 494965*f = 0. Calculate f.\nAnswer: -98993, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/17)*a\/a**(-2\/3))\/((a**(4\/7)\/a)\/a**5))**2)**(-1\/65) assuming a is positive.\nAnswer: a**(-4982\/23205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/20 - a**4\/3 - 2*a**3\/3 + 2*a**2 + 11*a. Let v be l(4). Is ((-45)\/v)\/((-3)\/(-16)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9864468*v**4 + 9273551 wrt v.\nAnswer: -39457872*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n + 82*n**2 + 93*n**2 - 181*n**2 + 7. Determine k(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 3*v + 3. Let l be g(3). Let h be 16\/(4\/(-1)) - l. Suppose -h*j = 4*t - 44, -5*t = -2*j - 53 - 11. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + 2*f)*(-2*f + 0*f + f) - f**2 + 10*f**2 + 3*f**2 - 5*f**2 + 3*f - 3*f - 4*f**2 - f**2 + 4*f**2 + (1 - 1 + 5*f**2)*(3 - 3 + 2).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - (20 - -4) - -33.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 161*x + 482. Give g(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90250267 to the nearest integer?\nAnswer: 9500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4251 and 18?\nAnswer: 76518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g + 2*g - 14*g + 1 + 2*g**2)*((-1 + 1 - 1)*(-g - 2*g**3 + g) + 3*g - 3*g - g**3).\nAnswer: 2*g**5 - 4*g**4 + g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let i be r(-1). Calculate the least common multiple of 3 + 1 + i + 4 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6 + (-43)\/(-3). Let v(o) = 51*o + 399. Let d be v(-4). What is the greatest common divisor of r and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 62 = 4*u. Let k be -2 - 72\/(-33) - (-4396)\/u. Let s = k + -59. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1313 + 0.0313. Suppose 13 = 4*l - z, -10 = -4*l + 2*l + 4*z. Let w = 0.8 - -0.2. What is the nearest to c in l, 2\/5, w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0306353 to 3 dps.\nAnswer: 1.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1702 is divided by 155.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*x + 10, -9*i - 10 = -11*i - 2*x. Suppose -4*h - 8 + 36 = 4*w, 2*w - h - 11 = i. Is w not equal to 56\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1672.15*5.\nAnswer: 8360.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 3*t**2 - t. Let z(c) = 2*c**3 - 4*c**2 - 2*c - 1. Determine 4*i(g) - 3*z(g).\nAnswer: 2*g**3 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -37 divided by -176\nAnswer: 37\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 978627.3t?\nAnswer: 978627300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*o**3 + 16*o**4 + 410*o**2 + 22*o**3 - 54*o**2 + 6*o**4 wrt o?\nAnswer: 528*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, e: 2, g: 7, i: 4, t: 3}. What is prob of sequence ic?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * 21\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 2)\/(-11 + -2). Let j = -0.4 + 2.4. Let n = j - 2.4. Put 5, u, n in ascending order.\nAnswer: n, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 18 + 62 = -2*i, i - 43 = -4*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 19\/9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j**2 - 569*j + 3941. Determine y(7).\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*s**2 + s**4 - 2*s**4 - 2*s**3 - 40*s**2 + s as y*s**2 + f*s + t*s**3 + p + w*s**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 60 + 15 = 2*l, 3*w + 105 = 3*l. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -415*m + 112056. Give x(270).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10) + (-24)\/(-15)*-7. Put g, 3, 5 in ascending order.\nAnswer: g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from plvrx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 753975 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 969 - 934. Solve 12*a - f = 5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) + 52\/20. Suppose 12 = 7*u - v*u. Suppose u*n = 1 + 20. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/12 + d - 4. Let v(r) = -4*r + 3. Let u(l) = 15*l - 9 - 5 + 3. Let q(i) = 6*u(i) + 22*v(i). What is f(q(h))?\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 3. Suppose -11*d + 28 - 138 = 0. Give f(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*g = 3*d - 266, -g + 160 = 3*d. Let l = -236781 - -236811. What is the highest common divisor of d and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122446087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**4\/34 + 62*k**3\/51 - 319*k**2\/17 + 2178*k\/17 - 1535. Factor g(w).\nAnswer: -2*(w - 11)**2*(w - 9)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w**4 + 102*w**3 + 2 + 6*w**4 - 1 - 6*w**2 - 103*w**3 to the form d + n*w**2 + h*w**4 + g*w**3 + a*w and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - u = 4*m - 13, 0 = -2*m + u + 7. Suppose 4 = -m*x + 9, 3*k = 4*x + 8. Solve -8 = -k*t + 2*n - 38, -25 = -5*n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -335*v**4 + 337*v**4 - 148 + v - 2*v**2 + 485*v**3 + 148 to o*v**2 + a*v**3 + f*v + l*v**4 + y and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 56352008?\nAnswer: 281760040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, a: 1, v: 7}. Give prob of picking 2 p and 1 a.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 237 + -1*(1 - 0). Let b = j + -1015\/4. Let k = -14650 + 234307\/16. Calculate the common denominator of b and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17806.82001 - 17807. Let m = o - -0.18. Round m to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/6)\/(4\/6). Factor -9*a**3 - 21*a + 26*a**2 + 2*a**4 - 3*a - y*a**3 + 8 + 0*a**3.\nAnswer: 2*(a - 2)**2*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 62 - 330223*a + 330244*a - 2*a**2 + 3*a**2. Calculate m(-19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + 2*sqrt(180) - sqrt(180)) + -4 + sqrt(180) + 2 + sqrt(180) - (-4 + -4*(3 + sqrt(180)) + -2))**2.\nAnswer: 1344*sqrt(5) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.6805856 + 4.\nAnswer: 8.6805856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 7*t**2 + 4*t - 9. Let u be c(-7). Let z = 189 + u. Suppose 5*j = 9*j - z. Calculate the remainder when j is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/11 in 5, -1\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -94, -388, -894, -1624, -2590, -3804?\n\"Answer: -2*h**3 - 94*h**2 + 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67.00000302 + -67. What is o rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-1))\/(126\/(-28) - -5). Calculate the greatest common divisor of 256 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) 29 (c) -1071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109596393256 minus -2691?\nAnswer: -109596390565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/15)\/((-2)\/(-26050)). Suppose -26*n + l = -16*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-8 + 1) - (4 + -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 643012490*a**4 - 988165*a**2 + 64*a + 4.\nAnswer: 15432299760*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/20 and 97\/440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1308*t - 66715. What is x(51)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17958 and -3.951.\nAnswer: 70952.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*j**3 + 103*j**3 - 641*j**2 + 641*j**2.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 30*b**2 + 10319*b + 3281. Let l(t) = 13*t**2 + 4422*t + 1406. Let y(d) = 7*c(d) - 16*l(d). What is the first derivative of y(g) wrt g?\nAnswer: 4*g + 1481","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58\/(-609) - (6 + 1585\/(-105)). Let o(f) = -7*f - 3*f**2 + 6*f**2 + 30 - 2*f**2. Let t be o(d). What is the highest common divisor of 80 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - 2*z**3 + 2*z**3 + (6 + 2 - 1)*(765*z**5 - 346*z**5 - 239*z**5).\nAnswer: 1257*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + 52. What is the remainder when j is divided by 33?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29726927 by 499.\nAnswer: -59573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 - 4*q - 1. Let w(n) = n**3 + 6*n**2 + 5*n + 1. Let o be w(-5). Let b(c) = c**2 - c - 1. Let l(z) = o*a(z) - b(z). Solve l(r) = 0 for r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r = -32*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by 9786.\nAnswer: -17\/4893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - f**2 + f - 4. Let u = -64 - -64. What is g(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 1, w: 1, m: 7, x: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5 = 4*u. Suppose 2*c + 2*v = v + 60, 0 = u*c - 3*v - 150. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -250 - -255. Let k be ((-2)\/4)\/((-1)\/30). What is the highest common divisor of d and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 + 2590*b**2 - 2394143*b + 480910068 = 0.\nAnswer: -3348, 379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31 + -23 - (2 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222 and 1887.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 16) + -11 + 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 4154?\nAnswer: 4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0 - 2*g**2 - 3\/100*g**5 + 0*g**4 + 0*g**3 - 1\/1050*g**7 + 0*g - 1\/100*g**6. Factor d(n).\nAnswer: -n**2*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 12 = -0*j. Let p = -10 - j. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 162\nAnswer: -5\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 56, -2, 0.247, 1, -158, -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -120, -284, -522, -834, -1220, -1680, -2214?\n\"Answer: -37*m**2 - 53*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 - (2 - 59) - (-39 - -7).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10221 and 3536.\nAnswer: 36141456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -f - 445, 12 = -5*f - 13. Let h(n) = -8*n**3 - n**2 + n. Let k be h(1). What are the prime factors of 3190\/r + 2\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**4 + 2*h**3 + 4*h**2 - 57*h - 6. Let a(b) = b**4 + b**3 - 3. Let q(c) = -2*a(c) + w(c). Find the second derivative of q(u) wrt u.\nAnswer: -48*u**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 times -1\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/90 + l**5\/30 - 17*l**4\/24 + 8*l**2. Let q(z) be the second derivative of f(z). Is q(11) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14616 or -14618?\nAnswer: -14618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1233805 and 6985?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 + 107*a**2 + 3062*a + 10600 = 0 for a.\nAnswer: -53, -50, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 424 + 419 - 842 + 8*b to j*b + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*y**2 - 2*y**3 - 41*y**2 + y - 92*y**2 - y.\nAnswer: -2*y**3 - 85*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 8) to base 9.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64298 (base 12) to base 15.\nAnswer: -29072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2760 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/((-42)\/(-15))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.65 - -0.1. Let y = -0.85 + p. Let m = -12.98 + 13. What is the third smallest value in -4, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(65)\/((sqrt(5) - sqrt(315)\/sqrt(7) - sqrt(5)) + sqrt(5)))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(5\/7))\/g**(-6\/11))\/(g**28\/g**(5\/2)) assuming g is positive.\nAnswer: g**(-3799\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 58 = 158*x. Let z(b) = b + 3. Let v(s) = 6*s + 14. Let n(l) = -3*v(l) + 14*z(l). Determine n(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5056888 divided by -412?\nAnswer: 12274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/((-8)\/(-82)). Let x = t + -59. Is -18 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17 - (-2 - (4 - 6)). Let l = w - -19. Suppose l*q = 3*q - 41. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 1119\/35. Let r(p) be the second derivative of c*p**6 + 0 - 1\/14*p**4 + 1\/14*p**3 + 0*p**2 - 1\/98*p**7 + 9*p + 0*p**5. Find d, given that r(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 250354, -2\/15, -0.3 in decreasing order.\nAnswer: 250354, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*g - 5*c + 6, -2*g - c - 14 = 0. Let t be (-3)\/(-1) - (g + 4). Suppose t*q - 398 = z, 3*z + 404 = 2*q + 3*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 11 + (0 + 1 + 1)*(2 + 5 - 5))*(0 - v**4 + 0).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 113 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from {o: 1, m: 1, k: 1, g: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**5\/20 + d**4\/12 - d**3\/6 + 169*d**2\/2 + 14*d. Is 34 a factor of i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1437*r**2 + 8. Let n(l) = 5694832*l**2 + 31702. What is 15851*d(q) - 4*n(q)?\nAnswer: -1441*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0589079652 + -87\nAnswer: -87.0589079652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-3)\/(-22))\/(477\/(-318)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjo when three letters picked without replacement from {j: 1, f: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let b(l) = -10 + 5*l**2 - l - 5*l - l**3 + 4*l**d. Is 6 a factor of b(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -535e (base 15) to base 10\nAnswer: -17639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - ((-3 - -2) + -6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-2184)*-6*-6)\/((-11)\/((-121)\/(-33)))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 304 = 4*s + 312, 43*x - 172 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/36 and -25\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + u. Let m(s) = -9*s**2 - 51*s - 120. Let g(o) = -3*d(o) + m(o). Factor g(q).\nAnswer: 3*(q - 20)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 7. Let l be 1023\/21 + (-4)\/(-14). Let o = 52 - l. Let z(h) = 2*h + 3. Let f(x) = o*m(x) - 7*z(x). Let r(q) = -2*q**2. Calculate r(f(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**4 + 40360*f**3 + 65*f - 19809577 wrt f.\nAnswer: 8*f**3 + 121080*f**2 + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1038803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53\/161 - 1\/23. What is the nearest to -0.1 in k, -5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 30 = 5. Suppose -4*n - 11*f = 52 + 14, 2*f + 12 = -n. Sort g, 1, n in ascending order.\nAnswer: g, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*b*m**2*u*z - 8*b*m*u*z - 108*b*m*u + 2*m**2*u*z + 11*m**2*u + 3*m*u*z wrt m?\nAnswer: -6*b*u*z + 4*u*z + 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from cccclqccclqc?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w**3 - 2*w**2 - 2. Suppose 0 = 10*r - 2*r - 16. Let x(f) be the first derivative of 3*f**4\/2 - f**3 - 3*f - 1. Give r*x(z) - 3*i(z).\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.509 + -0.3.\nAnswer: -13.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19266 = 80*w - 20466 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 313*k + 14379. What is d(-46)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*3\/((-9)\/(-3)). Suppose 25 = -7*z + n*z. What is the remainder when (4 + -2)\/(12\/42) is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 17. Solve -4*x - 16 = b*p, 4*x - 20 = 3*p + p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 653 = 6239*z - 6238*z. Does 140 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*n**2 + 60027 + 0*n + 0*n - 60027.\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*j + 18, 5*j - 1 = 3*y - 0. Let m = y + -7. Let o be ((-4)\/6)\/(m\/24). Put 7, o, -5 in decreasing order.\nAnswer: 7, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 + 0)*-1*(3 + 4). Let r = f + -109. Calculate the smallest common multiple of 12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 6*o**2 - 10*o - 9. Let a be l(8). Let s = -106 + 70. Let p = a + s. Solve 0 = -0*w - 3*w + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3147256.\nAnswer: 2, 7, 43, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = s + 16. Calculate the common denominator of (29 - 10)*s\/(-32) and 53\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4956 and 6552.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 42. Let v be (-3)\/u - (-1110)\/(-18). Let q = 82 + v. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1797, 1824, 1849, 1872, 1893?\n\"Answer: -c**2 + 30*c + 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from tfiuttftitvi.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(3570\/28)*363\/121?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326752*v - 328693*v = -58230 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 + 3*t**2 - t + 2. Let o be 16\/7 + 2\/(-7). Let f(k) = 2*k**2 + 2*k**o - 5*k**2. Let j = 112253 + -112250. Determine j*f(i) + n(i).\nAnswer: -2*i**3 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -3*a**2\/2 + a + 3. Let d be p(-1). Solve 0 = d*q + j - 15, -4 - 2 = -5*q + 3*j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78039 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.24 - 0.04. Let o = g - 2.6. Which is the closest to 1? (a) o (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -263, -520, -775, -1028?\n\"Answer: u**2 - 260*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 131*v - 849 - 461 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-270))\/(2\/(-3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -65. Suppose l*a + 27 = 12*a. What is the remainder when 61 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391 times 582\nAnswer: -227562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8105 and 0.272?\nAnswer: -2204.56","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-8) + 1 - ((-1 - -3) + 4). Let m(u) be the first derivative of -s*u**4 - 4*u + 4*u**2 - 24 - 2*u**3. Find the second derivative of m(g) wrt g.\nAnswer: -12*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7038 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1246262\/693 - -2943907609\/1645875. Let t = k - 1\/4750. Find the common denominator of t and 1\/4 - (-4)\/144.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a - 7. Let v(d) = 7*d - 8. Let l(w) = -33*w + 267. Let m be l(8). Let t(o) = o - 8. Let r be t(m). What is r*v(k) + 6*u(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1\/(m*m**(-2\/5)*m*m))**(-42) assuming m is positive.\nAnswer: m**(336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133266 = -54*z - 178*z + 379418. Is z smaller than 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 6*v**2 + 6*v + 1. Let u be k(5). Let s(w) = -w**2 + 13*w - 13. Calculate the remainder when s(u) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 172*p**2 + 32*p + 16. What is x(-2)?\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69799311 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 + -101. Let a be (8\/20)\/((66\/(-2670))\/(-11)). Let n = a + j. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (-3 + sqrt(612) + -1 + sqrt(612)))**2 - sqrt(612) - sqrt(612)) + (5 + sqrt(102)\/sqrt(6))**2 + -4.\nAnswer: -50*sqrt(17) + 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -199*s + 189*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*t - 12, 5*t + 2*w = 7*t - 24. Suppose 84 = -t*l + 354. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -117 (b) -1 (c) -2\/43 (d) -7\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-102)\/85*2\/(-4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcyqz. Give prob of picking 1 z, 1 d, and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 156 divide 1523808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-216)\/84)\/(3\/(-14)). Solve -d + 20 = 3*d - 2*y, 2*d - 2*y = a for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-45)*(-5)\/(-10)*-5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 20. Suppose -8*n = 29*n + y. Which is smaller: -7\/25 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2080*i - 3569 + 7157 - 3587 as b*i + c and give b.\nAnswer: 2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33081 is divided by 119?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = 6. Let g(x) = x**2 - 6*x + 1. Let o be g(n). Let w = -3766 - -3773. Solve w = 2*d - o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-7 + 12 - 3 - -1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 108 = 3*c, 11 = 2*j - 2*c - 24 + 107 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 58\/(-145)*5*-2. Suppose l*p - 26 = -2*v + 36, 5*p = v - 3. Solve 2*c + 3*i = -v, 5*i - 26 = 4*c + 7*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**3\/6 + 3*b**2. Let u(j) = -j - 2. Suppose 1 = q - 11. Let t be (-8)\/q*(-3)\/(-2). Calculate t*u(l) + 3*m(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45248, -51105, -56962, -62819, -68676?\n\"Answer: -5857*l - 39391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = 3*c, 0*w = -4*c - w + 20. Let n = 161163.2 + -161163. What is the second biggest value in c, 2, -4\/9, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1932276 and 19\/9.\nAnswer: 5796828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 6 = a + 3*w, 8 = a + 2*w. What is the units digit of 0 + a + -4*(-126)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 45*x**2 + 34*x - 542. What is c(-46)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 375742 + -254742. Round k to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -19. Suppose 2*p - z = -2*p. Solve -p*r - r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -60 and 0.05028.\nAnswer: -59.94972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3 - (5 + (-1 - 4)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4407 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) 11163 (b) -2\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 143 - 153 = 0. Solve r = -3*x + 5, 3*r + h - 2 = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477687 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 892939796 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 3*g - 4. Let z be w(-3). Suppose 0*a - 660 = -4*a. Calculate the common denominator of a\/z*21\/18 and 39\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, z: 2, v: 3, e: 1}. What is prob of sequence zzt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -39 (c) 0.18 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2521 = 640*g - 1959 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-19)\/(-1) - (-715)\/143?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)\/n)**(-47)\/(n**3*n)**(-27\/7) assuming n is positive.\nAnswer: n**(869\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 324*d - 170*d - 154*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 25\/3 - (-3)\/((-27)\/(-6)). List the prime factors of (-1)\/4 + y + 4739\/28.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10364*i**2 - 671. Let v(q) = -5192*q**2 + 335. Let f(t) = 4*s(t) + 9*v(t). Differentiate f(z) with respect to z.\nAnswer: -10544*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 26 = 35*u. Calculate the remainder when u is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 366 + -286. What are the prime factors of 5*v - 238\/(-34)?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.126 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p = -16. Let m = 2 + p. Let y = -4.4 - -4. Which is the second biggest value? (a) m (b) y (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2012 + 2?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6)\/(240\/(-5))*2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4151.\nAnswer: 7, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37721*t + 385*t**2 - 298 - 37721*t.\nAnswer: 385*t**2 - 298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 1. Suppose -8 = -j - m. Suppose 0 = -q - 2, -2*f + 14 = -6*f - 5*q. What is the third smallest value in j, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49997326 is divided by 1096.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 30 + 6. Let s(a) = a**2 + 10*a + 9. Let r be s(b). Let k(h) = h**2 - 3*h - 1. Let q be k(4). Calculate the greatest common factor of r and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55451793, -55451800, -55451809, -55451820, -55451833, -55451848?\n\"Answer: -h**2 - 4*h - 55451788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 1385, 3110, 5525?\nAnswer: 8630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 585\/273 + 9775\/(-4186).\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24.2622804*-2\nAnswer: -48.5245608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021320 (base 4) to base 9.\nAnswer: -6433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 3. Let y be o(-3). Suppose 9*h = y*h + 18. Solve -2*l - 3*n = -h, -3*n + 6 = -6*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - sqrt(441)*-6)\/(sqrt(35)\/(sqrt(20)\/sqrt(4))).\nAnswer: 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6906 and 706895858?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395631120.\nAnswer: 2, 3, 5, 83, 19861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.0037 - -0.0037. What is the third biggest value in 0.3, -3, c, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1 + 4*z + 2 + 0*z - z**2 - 7*z. Calculate the remainder when 3*(-8)\/96*-52 is divided by j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69212 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1125, 1115, 1099, 1077, 1049, 1015?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266, 266, 256, 230, 182, 106?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*l = -4776. Let c = -677 + l. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*d**3*p**2 + 1561*d**3*s**2 + 849*d**2*p**2*s**2 - d**2*p**2 + 12*d**2*p*s - d*p**2*s**2 + d*p*s wrt d.\nAnswer: -72*p**2 + 9366*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1675052 - 0?\nAnswer: -1675052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14104)\/(-172)*(1\/4)\/((-19)\/76).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 9. Let q = -13 - d. Let j be (4\/10)\/1*q. Which is smaller: -3 or j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62\/1519)\/(3\/21)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 9*f - 6. Let m be a(-10). Suppose 8 = m*t - 2*t. Suppose 0 = 2*j - 6 - 4. Solve 0 = t*y - j*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 101405897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsd when three letters picked without replacement from vdsst.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180 is divided by 171?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let n(y) = 3*y + 4. Let l(g) = -2*g - 3. Let c be (-3)\/2 - 12\/8. Let h(a) = c*n(a) - 4*l(a). Determine h(u(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/11 (b) 0.21 (c) -5 (d) 10\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f - 2. Let i be t(-1). Find the third derivative of -2*v**3 + 11*v**3 + 2*v**2 + 8*v**2 - v**i wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a milligram in micrograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(19) + 5 + 1 + sqrt(19) + sqrt(1539) + 0 + sqrt(19) + sqrt(19) + -2*sqrt(19)*-2)**2.\nAnswer: 216*sqrt(19) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m**2 - 4*m + 2. Let n(v) = 27*v**2 + 11*v - 5. Let y(x) = 8*g(x) + 3*n(x). Calculate the remainder when y(-2) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 164860216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 u, and 1 l when three letters picked without replacement from vcrturrtvlut.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**4 + 0*z**3 + 0*z**5 - 25*z - 8\/15*z**6 + 15*z**2 + 0. What is the derivative of c(y) wrt y?\nAnswer: -64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55 - 91. Let n = o - -18. Let p = -31 - n. Is p at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (31 - 36) + 50?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.17213 + 0.04693. Which is bigger: s or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4386 divide 2781115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of m**5\/60 + 3*m**2. Let l(o) = 4*o**2 + 9*o**2 - 11*o**2 - o**2. Determine l(c(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((16\/(-11))\/((-112)\/616)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 272 (b) 17 (c) 2 (d) 8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2884 * -1650.\nAnswer: -4758600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 334849 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*y + 33, 8 = -5*y + k - 0 - 13 - 8 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 946*a**2 + 7*a - 1. Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 3\/7, -5, 1\/648, -2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**3 + 26*i**2 - 79*i + 1413. Is v(28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -190\/3 (b) -2 (c) 2\/9 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v = 2*t + 72, 4*v = 5*t + 182. Let d = t - -78. Calculate the highest common divisor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = y + 3*d + 4, -12*d + 91 = 5*y + 20*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 315*u + 3. Let c be a(5). Let x be c\/9*(-2)\/12. Let b = 29 + x. Sort 2, b, 0.8 in decreasing order.\nAnswer: 2, 0.8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*s - 19, 5*s - 102 = 682*o - 686*o for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64\/28 - (-6)\/(-21). Suppose 0 = -b*u - 4 + 32. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -17 - 13) + (-3 - (-14 + -6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 + 3 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s**5 - 1\/2016*s**8 + 1\/720*s**6 - 3*s + 0*s**3 + 0*s**4 + 0*s**7 + 0 - 2*s**2. Solve h(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -12 (b) 7.5 (c) 39 (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 5. Let v be d(-5). Let l = -2 - v. Put l, -1, 5 in ascending order.\nAnswer: -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -7 (b) 4 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27866550*l - 140783584 wrt l.\nAnswer: -27866550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-2*x**3 + 7*x**3 - 3*x**3) - 6*x**3 - 4*x**3 + x**2 + 5*x**3.\nAnswer: -7*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -32 + -1 + 17 + -5 + (-5 - -34).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**4 + g**3 + g**2 - 1. Let m(c) = 5*c**4 - 6*c**3 + 2*c**2 + 6. Let l(i) = m(i) + 6*u(i). Find the third derivative of l(p) wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 6*s + 5*s + s. Let h(t) = -108*t**2 + 85*t**2 + 71*t**2. Determine h(b(o)).\nAnswer: 768*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 3*w - 1. What is the units digit of f(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -5 - -2) + -4. Let d = 52 - -64. Let l(a) = d*a - 57*a - 57*a - 2. What is l(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2\/17, 2\/5, -10\/11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3260, 4599, 6832, 9959, 13980, 18895?\nAnswer: 24704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*4\/(-12)*700\/35?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/3)\/x*x**(-3)*x)\/(x\/(x*x**(1\/4)*x)*x**(1\/25)) assuming x is positive.\nAnswer: x**(-137\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-32)\/(-5) + (-6)\/15. Let a be ((-9)\/h*2)\/((-9)\/(-12)). Let j(n) = -2*n - 4. Let o(m) = m + 3. Determine a*o(p) - 3*j(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/3 - 20*a**2 - 24*a + 128\/3.\nAnswer: 4*(a - 16)*(a - 1)*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 16*c - 6 + 216 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -281 + 318. Suppose 0 = k - 26 + 7. Calculate the remainder when d is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602438.6 rounded to the nearest 10000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nww when three letters picked without replacement from {n: 2, r: 3, w: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53 + 102. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9832829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 - (-12)\/2. Let m = q + -5. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0.3, 0.16, -4\/9?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6462, 5370, 2398, -3396, -12954, -27218, -47130, -73632?\n\"Answer: -157*d**3 + 2*d**2 + d + 6616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -15*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1291747 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/3))**(-42)*c**(-7)*c\/(c**(2\/3)\/c)*(c\/(c**(-7\/5)*c)*c*c**(-1)\/c)**(-18\/7) assuming c is positive.\nAnswer: c**(-3643\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 2120?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 16*n + 45 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-156)\/(-15) + -10)*-3*380\/(-12). Solve w + 2*g = 16, -3*g = -39*w + l*w - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 13274*x - 93109. Give b(7).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**3 - 3*j**3 + j**4 - 2*j**3 + (j - 3*j + j)*(6*j + 21654*j**2 - 21656*j**2 - 53*j**3 - 41*j**3) as g*j**3 + d*j + f*j**4 + z*j**2 + a and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-four fifths of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -21*a**4\/4 - 157*a**3 - 660*a**2 + 912*a + 2259. What is t in u(t) = 0?\nAnswer: -19, -4, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1636 and 372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 72, 111, 150, 189, 228?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 6 = -6. Solve b*i = 5*i + 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4 + 16. Find the first derivative of -3*z**2 + 2 + 2*z**2 - n wrt z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 204 and 0.4627?\nAnswer: 94.3908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(125)*-1 + 4)**2 - (2*sqrt(125) + 0)**2) - (-2*(sqrt(405) - (2*(sqrt(405) + -2 + sqrt(405)))**2) + -5).\nAnswer: -12269 + 674*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9417538*a**2 - 8806184?\nAnswer: -18835076*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 15798021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 23. Let w(g) = -g**2 - 8*g + 4. Suppose 5*u = -2*b - 34, 5*u - b + 55 = 4*b. Calculate the lowest common multiple of c and w(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/33*6*(-1)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 8*n**2 - 12*n - 1. Suppose 6*c - 32 = 430. What is the remainder when c is divided by u(-9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 2205.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440339747.\nAnswer: 17987, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -f + 4 - 1, -3*o = -3. Suppose -4 - 11 = -5*r, -f*c - 20722 = -4*r. Let j = c + 3255. What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**5 - 2*k**2 + 11*k**5 + 10*k**5 - 12*k**5 wrt k.\nAnswer: 720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1690098?\nAnswer: 2, 3, 281683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1323 (base 4) to base 2.\nAnswer: 1111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - b**2. Let t be j(2). Let w(i) = 168*i - 342. Let v be w(-22). Is v\/t*1\/((-3)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 > 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11284111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1126*l**3 + 47*l + 1135*l**3 - 2268*l**3 + (4*l - 3*l - 3*l)*(2*l**2 + l**2 - l**2).\nAnswer: -11*l**3 + 47*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 4:40 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1253 - 549. Does 44 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1909, -106, 128 in decreasing order.\nAnswer: 1909, 128, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**3)\/((o**7*o*o)\/o))\/((o\/o**0)\/o)**44*((o*o**(-3\/5)*o*o)**(6\/19))**10 assuming o is positive.\nAnswer: o**(-46\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 17)*(4*c**2 + 16*c**2 + 0*c - c).\nAnswer: 400*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*d + 2*n + 15, 0 = -5*d - 3*n - 97. Let l = 81\/4 + d. Which is the smallest value? (a) -0.3 (b) -2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = f - 9, -56*b - f = -59*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + (0 + 1)*40*(-16)\/(-128). Let f(q) = 24*q - 2. Let j(v) = 23*v - 2. Give k*f(u) - 5*j(u).\nAnswer: -19*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5534 minus -0.02529826123?\nAnswer: -0.52810173877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/17)\/w*(w\/(w*(w*w\/(w**1\/w*w))\/w*w*w*w))\/w)\/(w**(-6\/13)*w*(w*w**4)\/w) assuming w is positive.\nAnswer: w**(-2134\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*a - 4765 - 1638 - 767 = 0 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1077 - -1077.019996. Let l = -0.02 + r. What is l rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -23\/5 (b) -3 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 4*s**2 - s - 3. Suppose -19 = 5*x - 4. Let h be ((-12)\/7)\/(x\/21). Suppose 3*z = -z + h. Calculate g(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 179.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201 (base 3) to base 7.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 u when three letters picked without replacement from udduddddddu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26 - 22 - (-130)\/(-126) - 4. Let x = q - -8\/7. Solve 0 + 0*l - x*l**5 - 4\/3*l**4 - 64\/9*l**2 - 16\/3*l**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35491 - -37123. What is the remainder when c is divided by 814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-3 - 0)\/1. What is the third derivative of -6*v**5 - v**2 + w*v**5 + 3*v**5 + 2*v**6 wrt v?\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1)\/y))**(-23)\/(y**(-5\/3)\/y**(-1\/8))*((y*y\/y**(2\/5))**14)**(2\/103) assuming y is positive.\nAnswer: y**(-828409\/12360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6474? (a) -0.5 (b) 4\/5 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-156)\/(-30))\/(-3*(-6)\/45). Let t = 20 - l. Suppose -t*z - 46 = -235. Calculate the remainder when 79 is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*r**4 - 132*r**2 - 108*r + 47483082 wrt r.\nAnswer: -252*r**3 - 264*r - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-2)\/4)\/((121 - 79) + -63).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -9*l**3 - 891*l**2 + 1825*l + 516. Calculate x(-101).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 645850764 to the nearest integer?\nAnswer: 25414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let x(b) = b**3 + 3*b**2 - 3*b + 2. Calculate the least common multiple of 22 and x(g).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -92619, -2, 4 in ascending order.\nAnswer: -92619, -2, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s + 4. Let h(u) = -13*u - 17. Suppose -r - 27 = 2*r. Let d(z) = r*l(z) - 2*h(z). List the prime factors of d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*21\/(-35)*(-1)\/7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0619095l to millilitres.\nAnswer: 61.9095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**4\/5 - 2087*i**3\/10 + 139059*i**2\/5 - 763938*i\/5 - 199692\/5 = 0. What is i?\nAnswer: -1\/4, 6, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 - 144*q**3 - 1716*q**2 + 576*q + 6912.\nAnswer: -3*(q - 2)*(q + 2)*(q + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.166 - 41\nAnswer: -40.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 7*m = -25. Suppose 5*g = -i - 10, -18*i + 19*i = g - 4. Suppose 1 = 2*x - x. Sort g, x, m in increasing order.\nAnswer: m, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 158483*w**5 + 49027*w wrt w?\nAnswer: 3169660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 15*g + 29*g + 2 as q*g + t and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34104970*o**3 - 9888847.\nAnswer: -102314910*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*v + 27*v - 21*v)*(4*v - v - 4*v - 2*v - 2*v + 3*v + (-5 + 1 + 2)*(-4*v + 7*v - v)).\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-15)\/(-2)) + (-152)\/(-12). Let t(u) = -5*u + 1. Let d be t(-1). What is the greatest common factor of d and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 14 = -0*m - 5*v, 0 = 4*m - 2*v + 2. Suppose -n + 6 = m. Suppose 3*z - 46 = -4*c + z, -27 = -2*c - n*z. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 57 - (1 + -2) - 94\/47. Calculate the greatest common divisor of y and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 17*w + 32. Let b(x) = x + 7 - 2 - 6 + 16*x**2. Calculate the remainder when b(-2) is divided by f(-17).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*((-1710)\/75)\/38*15\/(-42)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(13) + 5).\nAnswer: 18 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvp when three letters picked without replacement from {v: 3, o: 1, x: 1, i: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -49105602 divided by -606242?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1561.6998\nAnswer: 1563.6998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -735*q**5 + 2816*q.\nAnswer: -14700*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x**2 - 71*x - 429. Let t be b(11). What is the third smallest value in -1, 0.8, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5 + 1 + 2 - 2 + u**2 - 3*u = 0. Calculate u.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19711.91 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 + (5 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/26018 and 31\/112090.\nAnswer: 1458178810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x. Let q(p) be the first derivative of 17*p**5\/60 - 25*p**2 + 2*p - 16. Let k(d) be the second derivative of q(d). Give k(o(u)).\nAnswer: 612*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 2*q - 7. Is u(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -300.74178527?\nAnswer: 299.74178527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (-175)\/2)\/((-10)\/(-20)). What is y rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 3\/(-6)*-34. Suppose -5*a + 5 = -t. Let k = -1 + 5. What is the second biggest value in a, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*(-12)\/(-360)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 5*w = 13*n + 4, -2*n - 2 = 4*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 87241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -12. Let a(p) = -8*p**3 - p**2. Suppose 0 = -2*q - 3*q - 5. What is the least common multiple of a(q) and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 2*d = -6*x - 23, -2*d + 52 = 4*x. Suppose x*g = -2*g + 1632. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1385 + -1358. Which is smaller: u or 287\/11?\nAnswer: 287\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a + -20?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0689 + 42169?\nAnswer: 42169.0689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5189162161?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3225, 6865, 10519, 14193, 17893, 21625, 25395, 29209?\nAnswer: 33073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/((-5610)\/2695) - (-4)\/(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o + 2*o - 6*o)*(-7 + 7 - 6*o) - 2*o + 2*o - 5*o**2)*(-3 + 4 + 1).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 4*f + 3*f)*(-6*f + 4*f + 6*f) + (0 + 7 - 2)*(2 - 1 + 1)*(3*f**2 + f**2 - 5*f**2) as o*f**2 + k + t*f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -4. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2 and (-70)\/16 - (0 - 8 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4015*x**5 - 28100*x**4 - 44130*x**3 - 20020*x**2 + 25*x = 0.\nAnswer: -5, -1, 0, 1\/803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 17*s - 14*s + 1, -2*x = 3*s - 4. Let q(h) = h**2 + 3*h - 3 - 8 + 13. Calculate q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3477, 3384, 3197, 2910, 2517, 2012, 1389, 642?\n\"Answer: -o**3 - 41*o**2 + 37*o + 3482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1003 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -9 - 4\/2. Factor b**t - 3*b**3 + 0*b**5 + b**3 + b**5.\nAnswer: b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.044 + -1.956. Which is the nearest to 0? (a) w (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:47 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*i + 1550 = 2883 + 3139 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 5*o + 85, 3*c + o = 5*o + 83. Let g = 31 - c. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -29. What is the third smallest value in x, 0.01, -2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/5 - 170268*m**2\/5 - 340516*m.\nAnswer: -m*(m + 10)*(m + 170258)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9 (b) 8521 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 5*v + 33 = -2*l, 4*l = -v + 44. Let x = 7 - l. Suppose -k - 4 = 3*p - 12, -2*k + 2*p = 8. Sort x, k, 5 in ascending order.\nAnswer: x, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659565 is divided by 364.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 850 - 562. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-18)*3\/(-2). Suppose -3 + 15 = -k*g. Is (-16)\/(-24) + (-632)\/g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*f - 17 - 24, -9 = -r - f. Suppose -o + 2*o - 12 = 0. Suppose o + 16 = r*v. Solve -v*l - 12 = -4*n - 3*l, -2 = -4*n - l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*n + 913 + 3327 for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 19*v**2 + 4*v - 4*v + 4*v to the form n + w*v + y*v**2 and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 6329589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2929606?\nAnswer: 2, 101, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*b**2 - 145*b**2 + 45*b**2 - 108*b**2.\nAnswer: -298*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6244595?\nAnswer: 5, 7, 178417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63787194 to the power of 1\/2, to the nearest integer?\nAnswer: 7987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3045*b - 36405 = -2216*b - 12364 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*x**2*y**2 - 31*f**4*x - 2*f**2*x**2 + 5*f**2 - 7*x**2*y + 2*x*y**2 wrt f?\nAnswer: 24*f*x**2*y**2 - 744*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103 and -1?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 443? (a) -0.8 (b) -0.0598 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -275*r - 123. Let q(d) = -236*d - 121. Calculate -5*f(j) + 6*q(j).\nAnswer: -41*j - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4125271314 to the nearest integer?\nAnswer: 64228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.149 (b) -4\/5 (c) 0.1 (d) 3 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 834410 and 41490.\nAnswer: 7509690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 3*t - t)*(-10*t + 8*t - 11*t) - 2 + 2*t**2 + 1 - 5.\nAnswer: 28*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 - 31. Let q be 8\/(-5)*(-15 + 50\/4). Which is the second smallest value? (a) q (b) r (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25861478 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732750185?\nAnswer: 5, 146550037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 0*w + (-1 - 2 + 2)*(2*w + w - 5*w) + 2*w - 2 + 2 - 2*w + w + 2*w)*(-44 + 83 - 20)*(277*w - 277*w + w**2 - 5).\nAnswer: 133*w**3 - 665*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 25. Put 4, d, -5 in increasing order.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638683?\nAnswer: 47, 107, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2093 minus 0.5?\nAnswer: -0.7093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 594, 1188, 1782?\n\"Answer: 594*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3540 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -600562 - -0.031?\nAnswer: -600561.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 3*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 367357377 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -758554 and 0.78?\nAnswer: -591672.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 + k**2 + k. Let p(h) = -21*h**3 - 11*h**2 - 25*h + 3. What is p(w) + 6*q(w)?\nAnswer: -3*w**3 - 5*w**2 - 19*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/44 and -50\/1478851.\nAnswer: 5915404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2. Let b(k) = -10*k + 3. Let z be b(-9). Let f = 2 + 0. Let w(s) = f*s - 93 + z. Calculate t(w(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263484 divided by 21957.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/5)*v*v\/v**36)\/(v**(-6)\/(((v\/(v*v**(-4\/19)*v))\/v)\/v)))**(-5\/2) assuming v is positive.\nAnswer: v**(1472\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2812 + -2770. Let h(m) = m**2 - m - 1. Let s be h(3). Suppose 0 = -s*j + f + 60, -4 + 29 = -5*f. What is the remainder when g is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 5, n: 7}. Give prob of picking 4 a.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 397330 and 35?\nAnswer: 2781310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -207*p + 8634 + 1716 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/((-4)\/(-5)))\/(3\/1272). Let b = q - 181. Let h = -125 + b. What is the greatest common divisor of 28 and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1326 and 351.\nAnswer: 11934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 5*i + 3. Let g be h(-5). Let s be ((-10)\/6)\/((-1)\/g). Suppose 5*x + 3*f - 787 = 0, 2*f - 855 + 72 = -s*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -6. Suppose 0 = -3*c + w*c - 380. Suppose -2*f + c = 3*f. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, 137, 451, 901, 1493, 2233, 3127, 4181?\nAnswer: 5401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 14, 5, -56733, -0.1 in descending order.\nAnswer: 14, 5, -0.1, -0.2, -56733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*r**2 - 1 + (-37*r + 46*r + 73*r)*(3 - 3 + 6*r) to the form q*r + v*r**2 + m and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*g**6 + d*g**4 + 2*d*g**2 + 4*d*g + 58*g**4 + g wrt g?\nAnswer: 120*d*g**3 + 24*d*g + 1392*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 160170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-0.8261.\nAnswer: -0.239569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {s: 2, m: 2, n: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 1\/6, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70086 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-6)*((-6)\/(-88))\/(15\/90)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 y when four letters picked without replacement from {j: 2, r: 1, m: 4, y: 4, f: 3}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -271.000000618 - -271. What is o rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 429 and 12592047.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 - 18565*z**2 + 167540*z + 186100.\nAnswer: -5*(z - 10)*(z + 1)*(z + 3722)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 15\/1003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -5 - 0) + -1. Let t = -3 + q. Are t and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - 8*-5*(-1)\/10. Suppose u*c + 629 = 2495. List the prime factors of c.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*r**2 - 2*r - 2 + 0*r**4 + r**4 + 3*r**4 - 3*r**4 to the form w*r**4 + m + c*r**2 + o*r + f*r**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -8, 5, 2, -4, 3 in descending order.\nAnswer: 13, 5, 3, 2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1347*t + 1343*t + 4 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170143 is divided by 122?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2353, -4699, -7039, -9373, -11701, -14023, -16339?\n\"Answer: 3*p**2 - 2355*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -400*k**2. Let d(f) = 2*f. Give u(d(l)).\nAnswer: -1600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 + 9*f**3*v - 135*f**2*v - 2*f*v - 6612*v wrt f.\nAnswer: 12*f**2 + 54*f*v - 270*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 113556 and 643484?\nAnswer: 1930452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -710 - -722. Let q(z) be the second derivative of 0 + d*z + 0*z**2 + 0*z**3 - 11\/12*z**4 - 1\/5*z**5. What is the third derivative of q(m) wrt m?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - i - 7, 9 = -3*q + 5*i + 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 4*u**2 - 5*u - 6. Let z be y(-5). Let t be (-1)\/(92\/z + -2). Let r = 20 + t. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 1 t when three letters picked without replacement from wwqwwqwqwqtqtrtqq.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23b + 1039?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -1833*y**3 - 2*y**2 + 2*y. Let l(u) = -3665*u**3 - 3*u**2 + 5*u. Let g(x) = 7*b(x) - 3*l(x). Let v be g(7). Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 234648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.403579*0.5.\nAnswer: 1.7017895","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**2 - f + 1. Let r be q(1). Suppose 11*a = r*a. Suppose 4*y = 3 + 1. Are a and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1\/4, -2\/13, 6\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 132*d + 48 = -128*d, -4*d = -5*z + 134. Let o = 108 + 12. Suppose -z*p = -23*p - o. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 352046*o**4 - 1367*o**2 + o + 11 wrt o.\nAnswer: 8449104*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 514*f - 253*f - 344*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a + 8 = 18*a. What is the greatest common divisor of a and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 3}. What is prob of picking 2 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 986951891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = 70 - 28. Solve 0 = -5*p + 2 + w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40936 - -109872221\/2684. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - -3*sqrt(80)*-1) + sqrt(80))\/(-3*sqrt(640)*2).\nAnswer: sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-4 + -2 + sqrt(108) + sqrt(108) + -1 + sqrt(108) + sqrt(108) - (-5 + (0 + sqrt(108)*2 - sqrt(108)))))**2 + -1)*6.\nAnswer: -3888*sqrt(3) + 52698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -6*p + 181. Calculate the remainder when p is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 8*r**2 - r - 2. Let j be t(7). Let o = -14 + j. Calculate the remainder when o is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2628 and 8?\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 13*m - 14 = 12*m, -5*o = -5*m + 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 5*v + 16, -46*v = -42*v - 5*p + 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-54.1.\nAnswer: -5.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75283491 a multiple of 1683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -z - 4*z + 50, 4*z - 2*y - 58 = 0. Solve -z = -4*p + 4*l, -3*l - 10 = -2*p + l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9102*n + 810082. Determine s(89).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -10*f**2 - f + 1. Let p be w(2). Let x = 138 + p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 40.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.5 - 8. Let v = -5.5 - t. Let b = 6 - 6. Put v, b, -1\/8 in descending order.\nAnswer: b, -1\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1435417, -1435433, -1435459, -1435495, -1435541?\n\"Answer: -5*c**2 - c - 1435411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73 + 436. Let b = -152 + g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + (0 - -6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -1\/10 (c) -3 (d) -1.3 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006533166673 rounded to 5 dps?\nAnswer: 0.00653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 1028*d**2 - 2050*d - 1024.\nAnswer: -2*(d + 1)**2*(d + 512)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84892095, -84892099, -84892105, -84892113, -84892123?\n\"Answer: -h**2 - h - 84892093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 11.730026\nAnswer: -1.269974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Suppose 115*d - 427 - 66 = 312. Let z(x) = -18*x + 0 - 2*x - 7. Let p(o) = -13*o - 5. Let b(n) = d*p(n) - 5*z(n). What is y(b(u))?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {c: 9, u: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005542 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 4:27 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000435417 rounded to seven decimal places?\nAnswer: -0.0000435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1309)\/(-374))\/(28\/219608)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(78*(19\/(-9) + 2))\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = 12*o. Let y = -2950 + 2953. Solve 8 = -y*v - j, -3*v + 4*j + 5 - 18 = o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36 - 1 - (4 + -3). Suppose 0 = -0*g + 2*g - 4. Let f = p + g. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 127*n**2 + 193*n + 10253. Is s(-65) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13474520 = -21*t - 20499280. Let a = -847800 - t. Round a to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31 + 16\/(-12)*-3. What is the highest common factor of 175 and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 10*h**2 - 10*h + 5. Give u(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 373 + (6\/4)\/((-16)\/(-32)). Let i = o - 328. What is the smallest common multiple of 7 and i?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500548.\nAnswer: 2, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -434312, -868637, -1302976, -1737335, -2171720, -2606137?\nAnswer: -3040592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -17101675 (base 9) to base 12\nAnswer: -2a4b7b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 25*j**2 + 382*j + 3335. Calculate the smallest common multiple of 14 and l(-9).\nAnswer: 13454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**3 + 22070*x**2 - 5565120*x + 361548000 = 0.\nAnswer: 132, 4150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in minutes?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -26*n**2 - 22*n + 50. Let v(j) = 12*j**2 + 12*j - 25. Let h(c) = 4*l(c) + 9*v(c). Is h(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-816)\/132 - 50\/(-275)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 5*q**5 - 8180*q**4 + 65230*q**3 - 179200*q**2 + 195405*q - 73260 = 0?\nAnswer: 1, 3, 1628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 5*a**3\/6 - a**2\/2 + 2*a + 13. Determine y(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 10*b - 15. Let v be q(7). Suppose -8*u + v + 176 = 0. Suppose -2*k - 3*g = -u - 5, -57 = -3*k - 3*g. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 13*v. What is i(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((0 + -1)*1). Suppose t = 2*k - k - 83000. What is k rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*i - 24 = -44*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**3 + 813*b**2 - 60897*b + 1390455 = 0. What is b?\nAnswer: 53, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from fkmfmfxf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 2, g: 5}. What is prob of picking 1 p, 1 g, and 1 f?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 4:33 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*g**2*i**2 + 63*g**2*i*x - 50*g**2*x - g*i**2*x + 3*g*i + 50195*i**2 wrt g.\nAnswer: -4*i**2 + 126*i*x - 100*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3 + 12. Suppose -19 - 14 = -2*t - 5*g, -5*g - 37 = -b*t. What is the greatest common divisor of t and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvllvllyllvyyy. Give prob of sequence vvvl.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-4)*70\/15. Put -5, 0, w, 3 in ascending order.\nAnswer: w, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002639424512 rounded to 5 dps?\nAnswer: -0.00264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -295?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 19\/(-3)) + 2\/3. Suppose 3*l - 2*l - 4*n - 50 = 0, -v*l + 155 = -n. Calculate the remainder when l is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (246*u + 509*u - 305*u)*(2*u**2 - 3 + 3) + (-u - 3*u**2 + u)*(-4*u + 4*u - 2*u) in the form z*u**2 + y*u**3 + p*u + s and give y.\nAnswer: 906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 687505585 to the power of 1\/2, to the nearest integer?\nAnswer: 26220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -28*o + 6. Let w(p) = -224*p + 49. Let x(m) = -49*v(m) + 6*w(m). Let r = 244 + -45. Let h(i) = -3*i - r*i**2 + 202*i**2 + 3*i. What is x(h(k))?\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56827870 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 3*s - 78. Suppose -2*x = -j - 784, 3*j = -s*x + 4*j + 1178. List the prime factors of x.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/68552 and 1\/52972.\nAnswer: 1165384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -165010*v + 2. Let t be p(-5). Let z = t + -1265052. What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 = 3*n, -4*t + 3*t + 5*n - 20 = 0. Suppose 5*g = g - 20. Let x = t - g. Solve -6 = -v - v + 3*s, -x*v - 10 = 5*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 134 divided by -791\nAnswer: -134\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -72, 2, -4, 3, -4592?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by -21?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x**4 - 47*x**3 - 23*x**2 + 131*x - 45. Let z(p) = -10*p**4 + 99*p**3 + 51*p**2 - 263*p + 89. Let s(a) = 7*h(a) + 3*z(a). What is l in s(l) = 0?\nAnswer: -2, 2\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39860?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-18) - (0 - 23\/63)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**4\/4 + 5*z**3\/3 - 7*z**2\/2 + 3*z - 8. Factor j(b).\nAnswer: -(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*o - 14 = 0, 171*t - 181*t - 5*o = 35 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -7*q**3 + 2*q**2. What is x(3)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 7 = -2*f. Let w(c) = -7 - 3*c + f*c - 3*c. Let t be w(4). Sort -1, 1, t in decreasing order.\nAnswer: 1, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:49 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -57477470 and 10827.\nAnswer: -57466643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 346265333?\nAnswer: -346265334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 141635111?\nAnswer: -141635110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 5*t**2 - 4*t + 2. Let j be k(-4). Suppose -6*z + 8 = -j*z. Find the first derivative of -z*x**2 + 3 - 3 - 3 wrt x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 = 4*k, k - 35 = 3*j + 2*k. Let w = -32.3 - -33.3. What is the nearest to 0 in w, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 3*k**4\/8 + k**3 - 9*k**2. Differentiate g(a) with respect to a.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = 0, -1 - 1 = -3*j + 5*f. Suppose -689 = -j*i - 621. Suppose -4*n + 313 - 49 = 0. What is the remainder when n is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*0.094.\nAnswer: -0.01222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (61 - 63) + (0 + -2 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 134 and 10519.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -146*f + 1944. Give d(13).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 3*t**3 + (-1 - t + 1)*(-t**2 - t**2 + 4*t**2))*(3*t**2 + 5*t - 5*t) - 6*t**5 - 47*t**5 - 3*t**5.\nAnswer: -71*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363880 and 1846691.\nAnswer: 73867640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by 14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59070 and 990.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 8816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**2\/19 + 1170*a\/19 = 0 for a.\nAnswer: -585, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and -0.06203838 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 407749 not equal to 407755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 9 = -5*s. Which is the third biggest value? (a) s (b) 3 (c) -0.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 364162?\nAnswer: -364161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 195 by 3.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 816*d + 11311. Calculate r(-11).\nAnswer: 2335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 10:01 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/108*-3*(-14)\/35?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2.5. Let z = m - -0.2. What is the third biggest value in z, 5, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 3*r + 3, 2*r - 14 + 0 = -2*u. Suppose -5*c = g - 41, r*c + 248 = 4*g + 2*c. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-7 - 2)) + (-59 - -64).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 7 = 5*v - 6*q, -3*v = 5*q + 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 0 - 10\/(-2). Let m(o) = 0*o**2 + d*o**2 - 3*o**2. Let f(z) = 2*z. Determine m(f(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -688, -679, -658, -619, -556, -463, -334, -163?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18279991 is divided by 5386?\nAnswer: 5293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -2, -3\/5, 4, -5, -10\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 10:07 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4\/8 - 3*f**3 - 65*f**2\/4 - 24*f - 85\/8.\nAnswer: -(f + 1)**2*(f + 5)*(f + 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**6 - 97*u**5 + 2863*u**3 + 7990098*u**2 wrt u?\nAnswer: 240*u**3 - 5820*u**2 + 17178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 - -10000?\nAnswer: 20220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*j - 36*j = -4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 31*l**2 - 1. Suppose -1298 + 1308 = -10*w. What is i(w)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5 + 1131671779.597?\nAnswer: 1131671786.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 + 601*m - 14495. Give z(120).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 1171*o - 1172*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9776)\/(-144) - (-4)\/36. Differentiate -220 + q*z - 199*z - 93*z with respect to z.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -7)\/(-4) - (1 - 2). Suppose q*t - 7487 = 7*m - 10*m, 4*t + 4*m = 14968. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d - 129. Let s(m) = 5*m - 65. Give -3*b(r) + 7*s(r).\nAnswer: -r - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-8) - (-49)\/(-14) - -412. Let q = r - -777. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3) + 8 + (11 + -19 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -216 + -3289. Let u = q - -371517\/106. Calculate the common denominator of 16\/9 and u.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 26*d**3*z + 9057*d**3 - 6*d**2*z + d - 171*z + 11 wrt z?\nAnswer: 26*d**3 - 6*d**2 - 171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + (sqrt(2) - (sqrt(2) - sqrt(10)\/sqrt(5)))))**2.\nAnswer: 36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 3307a?\nAnswer: 33075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -265*b + 27. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170625751.8 rounded to the nearest 10000?\nAnswer: -170630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/12*8*3\/(-6). Solve -s*j + 15 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 503*o**3 + 3*o**2 + o + 3. Let b(s) = s**3 + s**2 + s + 1. Give 3*b(n) - p(n).\nAnswer: -500*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0592913 nanometers in centimeters?\nAnswer: 0.00000000592913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -4, 11, 3, 2, -48.\nAnswer: -48, -19, -4, -2, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30*13\/((-455)\/(-42)). Solve -148*p**3 - 124*p**4 + 747 + 0*p**5 - s*p**2 - 12*p**5 - 1501 + 754 = 0 for p.\nAnswer: -9, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 1:21 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 1)*(2*z + 0*z - 4*z) + (1 + 1 - 6)*(z + 4*z - 4*z) as d*z + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**24)\/n*n*(n\/(n\/(n\/(n\/(n**(-28)\/n*n)))))\/n*n*n*n\/(n**(2\/55)\/n)*n**(-2\/13) assuming n is positive.\nAnswer: n**(-34456\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451278 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21293 - -21288. Let m = 0.2 - -0.8. Which is the second biggest value? (a) -4 (b) m (c) h (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -9 + 34. Let r = 3.05686 - 0.05686. What is the nearest to -1 in -0.5, t, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365629, 1462471, 3290545, 5849851?\nAnswer: 9140389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + 56. Calculate the lowest common multiple of m and (-3 + (-36)\/(-28))\/((-6)\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 - (4 + -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*c + 42, h - 7*c - 10 = -6*c. Suppose 10*f + 2 = h*f. Let l = -0.3 - -0.4. Put l, 4, f in descending order.\nAnswer: 4, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-30)*(88\/24 + -4)*75\/(-210)?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14*z = -22. Solve 8\/7 + 42*b**3 + 80\/7*b + 38*b**z = 0.\nAnswer: -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 415*f**4 + 13*f**3 - 7*f**2 + 7*f + 44. Let a(z) = 277*z**4 + 9*z**3 - 5*z**2 + 5*z + 29. Let k(s) = 7*a(s) - 5*q(s). Differentiate k(y) wrt y.\nAnswer: -544*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 2, r: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + 4087?\nAnswer: 4052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -c1c3 (base 15) in base 13?\nAnswer: -1580a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157.2753kg to nanograms.\nAnswer: 157275300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-7 + -3 + 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1939*c - 108910 = -1941*c - 4*v, -108886 = -2*c + 2*v. List the prime factors of c.\nAnswer: 3, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*d - 21, 5*v - 9*d + d + 56 = 0. Solve -2*t + q + 4 = 0, -4*t = -v*q - 5*q - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2 + 2. Let q(r) be the second derivative of r**5\/20 - r**4\/12 + r**2\/2 - 7*r. Determine b(t) - q(t).\nAnswer: -t**3 - 2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/8393 and 57\/539?\nAnswer: 58751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 - 80.4. Let p = -32 - x. Which is the nearest to -0.2? (a) 4 (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 136*y - 64. Let x(g) = 21*g - 10. Let k(c) = -5*a(c) + 32*x(c). Let h(i) = -17*i. Determine h(k(s)).\nAnswer: 136*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 10 = 0. Suppose -5*w + d*w = 3*u - 13, 3*w - 27 = -4*u. Suppose -106 = -u*h + 4*h. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1498915.\nAnswer: 5, 11, 27253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363324.\nAnswer: 2, 3, 13, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*r = 57*r - 1892 - 1542 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -936755*g**2. Let d(l) = -2*l. Calculate d(x(m)).\nAnswer: 1873510*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1414 (b) 0.2 (c) 27.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 573 + 641 + 3*k**2 + 15*k + 1087 - 14*k - 4*k**2 to the form l*k + w*k**2 + d and give d.\nAnswer: 2301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 3:22 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(9\/5))\/v*v**4*v*v*v*v**5*v*v**(-9)*v)**(12\/5) assuming v is positive.\nAnswer: v**(192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20394930*o - 52632253?\nAnswer: 20394930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - j + (0 + 2*j + 0)*(2 - 2 + 1) - 9*j - 4*j + 2*j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4032)*1 - sqrt(28))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 18744.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(1152) + 1)**2 + 0 + (sqrt(384)*-4)\/(sqrt(12) - (sqrt(12) - -2*sqrt(48))).\nAnswer: 148*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*d + 19 = k, -3*k + 2*d = -11. Does 23 divide -3 + k\/((-15)\/(-429))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -9, -1 in decreasing order.\nAnswer: -1\/2, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 14*s - 16. Let v = -3 + 18. Let n be k(v). Let w(i) = -239*i - 2. Is w(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5234 and 33683.\nAnswer: 176296822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003902169619 to seven decimal places.\nAnswer: -0.0039022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*s**2 - 1038 + 516 + 522 + 6451*s**2 to the form k*s**2 + f*s + c and give k.\nAnswer: 6576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - 3943 + 3943.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1515 and -35\/69387?\nAnswer: 346935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from xmmxmmxxxm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 2*v + 38. Let j be a(0). What is the greatest common divisor of j and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5859 and 77.\nAnswer: 64449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiiakaiwiawaikfihhiw. Give prob of picking 1 f and 1 i.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*23\/(-1) + -1. Let h = q + -9. Let x = 12 + h. What is the remainder when x is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(20\/640*-12*32\/(-24)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**2*q*v**2 + i**2*v**2 + 41*i**2*v - i*q*v**2 + 2*i*q*v - i*q - q*v**2 wrt i?\nAnswer: 6*q*v**2 + 2*v**2 + 82*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175849361.\nAnswer: 3, 53, 389, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 > 896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 - (-23 + 30 - -34)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 - 600075*x + 600072*x - 12)*(5 - 2*x**3 - 5) in the form g*x**2 + p + t*x + q*x**4 + w*x**3 and give w.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3*y - 5*m = 594, 2353 = 4*y + 3*m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3 + 16 = 0. Suppose 0 = 4*f - i + 4*i - 365, 0 = -4*f - 5*i + 355. Calculate the greatest common divisor of u and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 33950, -3, 0.07 in descending order.\nAnswer: 33950, 0.07, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 845.3177ug?\nAnswer: 0.0000000008453177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*d**(-6)*d*d**(2\/9)\/(d\/d**(3\/4)))**43 assuming d is positive.\nAnswer: d**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2936 * 0.171\nAnswer: 502.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 33 (b) -1\/21 (c) -0.063 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32)\/(-28))\/(32\/112). Suppose -5*g + o*h - 2 = 0, 0*g - 3*g - 2*h + 12 = 0. Solve 17 = -g*a + 3*d, -11 = -3*a - 5*d + 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 + (-4 + 2 + 0)*(-1 + 3 - 5))*(-1 + 1 - 2*z + (9*z - 2 + 2)*(4 + 0 - 2)).\nAnswer: 64*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 - 26. Let m = 511\/2 - d. Factor -3\/2*g**2 - 2*g**3 + 0*g + 0 - m*g**4.\nAnswer: -g**2*(g + 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, i: 16}. What is prob of sequence iig?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 0)*(0 + 4 - 2)*(-320*n + 320*n + 502*n**2) in the form l + i*n**2 + u*n and give i.\nAnswer: -1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1344)*1*4)\/(sqrt(70)\/(sqrt(90) - sqrt(10)) + sqrt(7) + (sqrt(7) + sqrt(21)\/sqrt(3))*-4 + sqrt(7))*-5.\nAnswer: 3 + 320*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1285*p**2 - 47*p - 68550 wrt p?\nAnswer: 2570*p - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136936 is divided by 167?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 14, 2, 17, 1\/6, -1\/6?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -7, 5, -5, 132?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061042899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 189.6, 52, -4\/87, 2, -1\/2?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from llnnc?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - 19. Suppose 5 = -4*m + 29. Let b(j) = -2 - 2*j - m - 2 + 4. Let s(x) = -7*b(x) + 2*v(x). Let n(f) = 5*f + 5. Determine 5*n(q) - 6*s(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -155*c**3 + c**2 + 45 - 3*c**2 + 2*c**2. Let s(t) = 7*t**3 - 2. Let r = 176 + -174. Determine r*m(z) + 45*s(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 4*q**2 - 7*q + 8. What is the remainder when 1717 is divided by m(5)?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrcrrcr. Give prob of picking 1 r and 1 c.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/451 and -16\/11?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1248*c - 22317 - 2643 = 0 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, a: 3, r: 1, p: 3, u: 1, c: 1}. Give prob of sequence gaa.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*3.3266\nAnswer: -0.49899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -47 - -32. Let z = x + -91. Let o = -100.3 - z. What is o rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003659279 to four decimal places.\nAnswer: 0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 11*k - 1. Suppose -20*u - 616 + 756 = 0. Let s(n) = -n**2 - 6*n + 1. What is u*s(j) + 4*o(j)?\nAnswer: j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gga when three letters picked without replacement from aaaaagaaaaga?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 5. Sort 0, -2, o.\nAnswer: -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3446 - -0.292. What is v rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*o**3 - 54*o**2 + 7*o**3 + 0*o**3 + 2*o**3 - 3*o**3 + 104*o wrt o?\nAnswer: 12*o - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*i - 88*i - 17162 + 24218 = 0 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 13 = 24*g. Suppose -15*m + g = -17. Let a be 4*(1 + -1 + 1). Solve 4*j = c - a*c - 7, m*j - 5*c = -23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23\/(-5) - -4)\/1. Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 20*p + 91. Let i be n(-13). Suppose -g - 4*a + 164 = i, 172 = 4*g + 2*a - 456. What is the highest common divisor of 108 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3643 is divided by 228.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007995 to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 109 - 620 = -s, 1969 = 4*s + p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 32, 64, 96, 128?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13 - 10*b - 3*b**2 + 6 - 300*b**3 + 219*b + 5*b**2 + 1177*b**3 wrt b?\nAnswer: 5262*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132332 (base 8) to base 14.\nAnswer: 12c30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*h + 99 + 97. Put -2, h, -3\/5 in decreasing order.\nAnswer: -3\/5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93098?\nAnswer: 2, 46549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.309113303 rounded to 4 dps?\nAnswer: -0.3091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(200) + sqrt(200) + 1 + -5)*-2)**2 + ((sqrt(2) + 2)*5 - (-1*sqrt(16))\/sqrt(8))).\nAnswer: -1268*sqrt(2) + 6548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 177 - 177 + 354.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115861775*o - 89305755?\nAnswer: 115861775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 2*b. Suppose b = 4*w + 16, f - 4*w = 3*f + 14. Let s(p) = -5 + 4*p**2 + 8*p**2 + 10 - 6. Determine s(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/5441210 and -12\/235.\nAnswer: 255736870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2446 - 3*l**3 + 1245 + 1202 + 6*l**2 - 29*l in the form z*l + h*l**3 + q + u*l**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*j**2*o**3 - 38*j**2*o**2 - 9*j**2*o + 10*j*o**3 + 4*j*o + 18*j + 128*o**3 wrt o?\nAnswer: -36*j**2 + 60*j + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7372 - -21929\/3. Let q = 63 + r. What is the third biggest value in q, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -93 - -57 - (17 + -11 + 1 + 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 9*h**2 + 11*h - 9. Let i be z(8). Suppose -4*x = -2*s - 12, -s - 5*x + i = -3*s. Solve 0 = d + 3*k + 8, -3*d + 5*k + 32 = s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g + 186. Let m be r(-23). Let n = 20 - 7. Solve m*p = -j - n, j + p = -0*p - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -10697 (b) -2 (c) -20 (d) 0.5 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/6279)\/((-84)\/(-441))?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 5*u**4\/24 + 8*u**3 - 6*u**2. Let r be a(-9). Solve x = -2*x - r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let t = -2283 + 2282.000014. Let m = t + z. Round m to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/265 and 4\/3.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 265*y**2 + 596*y - 18451. What is x(263)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d, 0 + 4 = z + 2*d. Suppose 5*o = 0, -4 + 0 = -z*w + 4*o. Let t(b) = -b**2 + 6 + 2*b**w + 4*b - 2*b**2. Give t(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9949885?\nAnswer: 5, 11, 180907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125752751?\nAnswer: 37, 3398723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*1*5*(sqrt(396)*2 + 0).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 145176.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(1 - 1 + 2*y) - 2*y + 3*y - 3*y + 9*y - 48 + 48)*(-2 + 2 + 2*y)*(21*y - 35*y + 21*y).\nAnswer: 154*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -215 by -2.\nAnswer: 215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 198. Let j be x\/(-90)*-5 + -5. Let w = -7 + 12. Which is the second biggest value? (a) -3 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 4:52 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrerrorzr. What is prob of picking 1 e, 1 r, and 1 o?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(468)*3*-3 + sqrt(468) + -3 + sqrt(52)\/sqrt(4) + sqrt(13) + sqrt(13) + sqrt(637)*2 + -2.\nAnswer: -31*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -126.\nAnswer: -13\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 15 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 10764123.\nAnswer: 10764105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1293b + 15b3?\nAnswer: 14221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46916177 and 718732.\nAnswer: 9457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 2*j**2 + 6*j**2 + (-2*j + 0 + 0 - j + 4*j - 4*j + (0*j + 0*j + 2*j)*(-3 + 0 + 2))*(-5 - 2*j - 3 + 2))*(12 + 15 + 10).\nAnswer: 518*j**2 + 1110*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 308470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 10*k - 22. Determine n(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -681 (base 12) in base 14?\nAnswer: -4c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7328 - 21674 = -3*l. Let m = l + -2683. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -60494.3 and -723 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3\/8*z**3 + 441\/4 + 447\/8*z - 219\/4*z**2 = 0.\nAnswer: -147, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = -4*b. Suppose -3*i + 21 = -3*g, -3*g = 3*i - 0*i + 3. Let a = 6 + g. Solve 4*c + b = a*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422647815 by -3.\nAnswer: 140882605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 28 = 5*o - 59, -2*l - 46 = -2*o. Let q be -2 - (-1)\/((-1)\/(-77)). Let d = -39 + q. What is the least common multiple of d and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:45 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*b + 2*o, 4*b + 4*o + 4136 = 4132 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(13) - (sqrt(65)\/sqrt(20))**2 - (-2 + sqrt(52))).\nAnswer: 5\/4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 401664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45369*w**4\/8 - 481409607*w**3\/8 + 236162261*w**2\/4 + 2249319*w\/2 + 5305 = 0. Calculate w.\nAnswer: -2\/213, 1, 10610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1131240?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 18 = -26. Suppose s = 5*k - 6. Let y(d) = -d**3 + 4*d**2 - 3*d + 1. What is y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 2*j**2 + 2*j + 1. Let p be y(3). Let r be ((-6)\/(-9))\/(p\/(-6)). Solve 0 = 4*i + 20, -r*d - i - 1 = -4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 807124?\nAnswer: 45198944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 638.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 7*t**2 + 7*t + 6. Calculate g(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.38 - -8.53. What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 17. Let z be -24*(-2 + 7\/(-3)). What is the highest common factor of z and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -61, -3, 9, 5, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f - f + 5*f - 6. Let p be h(-5). Calculate the remainder when (3*p\/(-3))\/2 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002536378463 to seven dps.\nAnswer: 0.0025364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-6)\/(-10)*(-15)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6*1)\/((-5)\/60). Suppose -3*l = -6*i + 3*i + 84, 4*i - j = -4*l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*l + 531, 5*j + 2*l - 186 = 699. Factor 6728 - 1187*c**2 - 55*c + 1189*c**2 - j*c.\nAnswer: 2*(c - 58)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -12 - 18 - (-8 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 157*(-12)\/(120\/(-710)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*f - 3*s + 24, -70*f + s - 14 = -65*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 929?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:46 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2 + 2 + 3*q - 2*q - 5*q - 2*q + 3*q + 0*q - 4*q + 3*q + 0*q + (-2*q + 0*q + 0*q)*(0 + 3 - 2) + q + 2*q - 5*q)*(-2*q + q + 3*q).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44200 + -44200.1. Is d smaller than -695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = 0, -x + 5*x + 3*f = 37. Let d(z) = 6*z - 10. Let m(v) = -9*v + 15. Let c(a) = -7*d(a) - 5*m(a). Is 8 a factor of c(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -8. Let x be (-23 + 9)*g\/(-6). What is the highest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*q**4 - 35*l*q**2 - 3*l*q + 26*l - 8*q**3 wrt q?\nAnswer: 24*l*q**2 - 70*l - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -21. Suppose 4*g = -5*f + 65, g = -g - i*f + 35. Suppose -56 = -4*x - 2*r, 5*r + g = -0*r. Calculate the remainder when x is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*2*(-14 - 145\/(-10))*-359869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*o + 4*y, -2*o - 289 = -y - 281 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41079?\nAnswer: 3, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jijs when four letters picked without replacement from sssiijiississssjis?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1012864 or -1013184?\nAnswer: -1013184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen sixteenths of a day?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4018 is divided by 892.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 12:18 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 26. Factor o*t + 21*t**2 - t - 25*t**2 + 8.\nAnswer: -4*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477509795?\nAnswer: 5, 7, 29, 470453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 16*x. Let k(z) = -z. What is k(c(m))?\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 26*m - 38. Let t be h(29). Let f = 73 - t. What is the lowest common multiple of 44 and f?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -32*m + 1. Let r(j) = 137*j + 17. Let b(w) = -257*w - 32. Let l(y) = 8*b(y) + 15*r(y). Give -3*l(t) - x(t).\nAnswer: 35*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 4*k)*(40*k**3 - 53*k**3 - 52*k**3) + 2*k**4 - 2*k**4 - k**4.\nAnswer: -66*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409225, 409223, 409221, 409219?\nAnswer: 409217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 12*z**2 + z + 3. Determine t(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/224 and -23\/1604128?\nAnswer: 11228896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6198 - -6203. Solve 2*l = 11 - n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 + 73. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 9 (c) -4 (d) -30 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 22 in increasing order.\nAnswer: -6, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -284, -3, 2, 0 in increasing order.\nAnswer: -284, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 - 96 + 3*f - 2*f**2 to the form o + x*f**2 + w*f and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.51 (b) -3 (c) 0.3 (d) -586 (e) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*k**5*w - 369*k**4*w + 2*k**2*w + 7*k**2 + 160*k*w - 4*k wrt k.\nAnswer: 5700*k**2*w - 8856*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -168?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(241\/(19280\/192)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46850 rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2899)\/414557)\/(2\/22*-1)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16243623 to the nearest integer?\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*m - 4468 = -0*x, 3*m = -5*x + 4489. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 9 = 27. Suppose 0 = -0*g - 3*g + z. Let u be ((-2)\/4)\/(g\/(-18)). Solve 0 = -4*f - 20, -p + u*f - 16 = 6*f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 118999957029 and 61?\nAnswer: 118999956968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5770 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 126375 a multiple of 337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (-241 + 275)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -113302, -226555, -339808, -453061, -566314?\n\"Answer: -113253*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/2, 1\/9, 1\/3, 32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 2:54 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29876 and 456764?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 14416 - 14480 = 2*w, 0 = 4*c + w + 58 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9712*t - 65. Is v(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.057 - -0.343. What is the third smallest value in c, -2\/3, 0, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 99647.47 years?\nAnswer: 99.64747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1166 (base 13) to base 7.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, -84, -57?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/5)\/n)**(-7\/2)*(n*n**(-4\/5)*n)\/n**(3\/17) assuming n is positive.\nAnswer: n**(293\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 171553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1164072 and 1189?\nAnswer: 33758088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 91?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {w: 1, z: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 15*l + 1 = -18*l, 0 = -13*j + 2*l + 59 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2*((x\/x**3*x)\/x)\/x*x*x**(-2)*(x*(x\/(x**3\/x))\/x)\/x*x**31*x**30 assuming x is positive.\nAnswer: x**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 28*x - 17*x + 22*x - 3 in the form g*x + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -362*g**3 - 20?\nAnswer: -1086*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from tynylyttottyq.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 minus 813578.73694?\nAnswer: -812688.73694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/11 + 9504322*d**2 + 209095078*d\/11 + 104547538\/11.\nAnswer: 2*(d + 1)**2*(d + 52273769)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -538570 rounded to the nearest 10000?\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a factor of 2013297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 63*a**2 - 935*a + 48. Calculate q(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3912276, 49, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -953*n**4\/12 - 23*n**2\/2 - 62*n. Differentiate a(x) with respect to x.\nAnswer: -1906*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*r**4 + r**3 - 20*r**2 - 11*r - 402.\nAnswer: -360*r**2 + 6*r - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.388945 and 3.\nAnswer: -1.166835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 89*g**2 + 183*g + 84. Let w be s(-91). Let b(n) = 3*n**2 + 18*n - 24. Give b(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 7006 = 3*x - 0*b, 4*x - 2*b - 9338 = 0. Is 32 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 12:27 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1. Let h(o) = o + 4. What is h(z) + 3*p(z)?\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 9 - 1 = 0. Let t be d\/6 - 1012\/(-12). Let x be 2\/8 + (-33)\/t. Which is the closest to -1\/4? (a) 0.2 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 15, i = -i - 3*s + 127. Suppose -3*c + 5*y = -110, 4*c + i = -5*y + 264. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000051892 to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-1)*13\/13. Suppose w*q = -3*m + 105, -2*q + 5*m + 91 = -0*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, -2, -5185 in descending order.\nAnswer: 28, 4, -2, -5185","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*t = 0. Suppose 0 = -t*b - 2*b + 28. Suppose 2*y + 2 = b. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38543627 to the nearest one hundred thousand.\nAnswer: -38500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 661 in 0.2, -2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1526143?\nAnswer: 41, 37223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(-4 + 4 - k**2).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000080369627 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4428900 to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 6, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 - 5*w + 197. Give x(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 68026 + 16a3?\nAnswer: 69719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.39115 milliseconds in seconds?\nAnswer: 0.01539115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53.34 + -0.34. Let u = 52.9999934 - o. Round u to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86814211886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2637 and 927.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192464 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5912369 is divided by 1611?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + y**2 - y + 4. Suppose 1 - 1 = 4*r. Let w be k(r). Suppose -w*m + m = -12. What is the second smallest value in 1\/3, -2, m?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i + 17. Let y be o(4). Let t be (-4)\/(-10) + (-2)\/5. Let h = t - y. Calculate the remainder when 32 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 946, 4972, 15822, 36910, 71650, 123456?\nAnswer: 195742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 12:49 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 8 - v + 4*v**2 - 4*v**2 - 4*v as z*v + o*v**2 + y and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -190, 5 in decreasing order.\nAnswer: 5, 0, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7007217 is divided by 2137?\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 1 = 4*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 6. Let q(s) = -s + 1. Give -2*q(k) - y(k).\nAnswer: 6*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6070.531 weeks in microseconds?\nAnswer: 3671457148800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 475655319?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a factor of 1585280256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-7)\/(105\/80) + -1)*(-647 + -10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*w - 7145 = 4240 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12167, -97327, -328493, -778673, -1520875, -2628107?\n\"Answer: -12168*p**3 + 5*p**2 + p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0065380496 to 5 decimal places.\nAnswer: -0.00654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -12*q**2 - 4378*q + 9535. Determine t(-367).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 8.64. Let q = n - -0.3. Let d = 0.0600048 + q. Round d to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s - s)*(4 + 0 - 5)*(7*s + 4*s - 4*s).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5087234 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 13*k - 3699 - 2*k.\nAnswer: -6*k - 3699","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.2 (b) -0.1 (c) -33 (d) -135 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 1 + 15, -i + 8 = 2*x. Suppose i = p - 3*p + 8, 0 = -3*u + p + 329. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18354.\nAnswer: 2, 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*u = -u - 1705, 4*o - 1382 = -5*u. Is 49 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -219, -218, -217, -216?\n\"Answer: m - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -4 (b) 0.1 (c) -1 (d) 72 (e) 0.5 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1522 (base 7) to base 8.\nAnswer: -1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11854 - -12646. Is d greater than or equal to 791?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -34*h - 187. Calculate a(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39334.\nAnswer: 2, 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 16. Let s be x(-6). Let p = 1 + s. Suppose 0 = -3*z - p*h + h + 16, 5*z - 20 = -2*h. Solve -z*v + 2*k - 30 = 3*v, -4*k + 24 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27794 - 27793.8. Which is the second smallest value? (a) 11 (b) 1\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-26)*16\/60*5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6018 is divided by 1201?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a - 42 = 117. Suppose -2*l - 1 = -3*o, -4*l + l - 3 = -5*o. Solve a*m + 9 - o = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.325 and -5.75.\nAnswer: 1.86875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.192 + -3.99. Let z = u + -0.902. Which is smaller: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 139 and -0.04.\nAnswer: -5.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*v + 8445 - 8444 = 0, 4*o = 3*v + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*y + 10, 4*i - 6 = 3*y - 4. Suppose 6*h - h - i*o = 28, 4*o = 4*h - 20. Does 27 divide h\/((-2)\/(-27)*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171590 is divided by 171567?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 801? (a) -3 (b) -0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3969*g**3 - 17*g + 171.\nAnswer: 23814*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40488 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 0, 1\/2, -1\/7, -24\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2022611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -604*h + 5. Let b(w) = 7854*w - 66. Determine 5*b(n) + 66*y(n).\nAnswer: -594*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 + 1)*(597 + 533*c - 295 - 302) to the form g*c + p and give g.\nAnswer: 1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*l - 8 + 23, 0 = 2*l + 2*v - 6. Suppose 0 = -3*x - l*x + 144. Suppose 0 = -5*i - 4*f + 26, -5*i + 4*f = 14 - x. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 920 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - 41*f**2 - 30*f - 71. Let i be r(-20). Solve -i*h + 124*h = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2153\/3 or 717?\nAnswer: 2153\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 34 = 4*x - 0*x, 2*x + 2 = 0. Suppose -5*t + n = -24. What is the derivative of 5 + 2 - t - j**4 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71 + 33*n - 64 - 28*n.\nAnswer: 5*n + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 247*i**3\/6 + 279*i**2\/2 - 288*i - 1. What is the derivative of c(x) wrt x?\nAnswer: 247","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -14.9457.\nAnswer: 74.7285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 17 = 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 56900 to the nearest one thousand.\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1678715 tonnes to micrograms.\nAnswer: 167871500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(28) + sqrt(28) + -3 - (((1*sqrt(567) - sqrt(567)) + sqrt(567))*2)**2.\nAnswer: -2269 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/(-3)*396\/1452.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(95)\/sqrt(245))**2.\nAnswer: 475\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrmrmmrmprrrrrmmm. Give prob of picking 1 p and 2 r.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-2) + 34140\/36*66\/5?\nAnswer: 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(72)\/sqrt(4)*-2.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*y - 29 + 29)*(-3 - 6 + 5)*(-3 - 1 + 1)*(-1 + 2 - 2)*((-3 + 2 + 0)*(1 - 5 + 3) - 3 + 4 + 3 - 2 + 0 + 3) as r + i*y and give i.\nAnswer: -936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 + -31 - 1).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 5947*z + 2971*z + 2976*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 540*q + 247*q - 184*q + 18090 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3727, -40, -1, -290?\nAnswer: 0.3727","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*r = -258, 2*w + 6*r - 262 = -2*w. What is the greatest common divisor of 3968 and w?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.286943 centuries in months?\nAnswer: 9944.3316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6816\/684)\/(104\/111 - 1). Let q = x + 158. Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 47*i - 192. Calculate c(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/2 - 10895*s**3\/4 - 4945422*s**2 - 2991979856*s + 1497226624 = 0 for s.\nAnswer: -1816, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50579.17 millennia to decades.\nAnswer: 5057917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3024)\/280*125\/(-50)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**3 - 252*n + 772. Calculate m(3).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102030133 - -2031101?\nAnswer: -33333032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1800 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 124, -5, 5, -60, 26?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, -13, 3, -12, -52 in descending order.\nAnswer: 3, -3, -10, -12, -13, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157993 and 1166.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4 + 2*f + 4*f + 2*f**2 - 10 - 3*f**2. Let t be i(4). Let a(c) = -14*c**2 + 3*c - 2. Let v be a(t). What is v rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 79 = -3*j. What is the highest common divisor of j and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3834, -0.1, -3, 0.3?\nAnswer: 3834","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -81. What is o rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*k - 14 = 193 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**5 - 2305*i**4 - 6*i**3 + i**2 - 17392.\nAnswer: -180*i**2 - 55320*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 129*u - 126*u - u - 89*u**2.\nAnswer: -89*u**2 + 2*u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12740)\/6)\/(-5) + (-22)\/33.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -16. Let k(p) = 2*p**2 - p + 2. Let h(j) = -5*j**2 + 2*j - 5. Let v(a) = -3*h(a) - 7*k(a). Determine v(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*k + 6*k + 15*k)*(-2 + 4 + 0) + 1 + k - 1 + (0 + 0 + 2)*(-2 + 2 - 2*k) - 2*k - 1 + 1 - k - k + k to a + y*k and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680*m - 1489*m + 10*m**3 + 2169*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a + 52 = -38*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 6*t**2 + 44*t**2 + 10 - 20 - 30 to y + j*t + f*t**2 and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - -0.6. Let j = -1 - -1. Let k = s - j. Sort k, -5, -4\/7.\nAnswer: -5, -4\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1800 by -180.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20161, -32184, -44207, -56230, -68253, -80276?\nAnswer: -92299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59689 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-42) - 4\/(-8). Let i = 20 + 2. Suppose 1 - i = -7*j. What is the nearest to s in 1\/4, 0.1, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h - 4*u = 443, 0 = 3*h + 2*u - 279. Let w = -56 + h. Suppose -4*y + 30 = -18. Calculate the remainder when w is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -8075\nAnswer: 24225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.95 rounded to zero dps?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 2:14 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivvvvvvvviv. What is prob of sequence vvi?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/29916 and -145\/73128?\nAnswer: 658152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 + 19*x**2 + 36*x - 268. Calculate p(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgtthjtt. Give prob of sequence fth.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 282 + -1975\/7. What is the third biggest value in -1\/2, -4, m, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -3521*f**3 + 2*f**2 + 292*f + 3. Let j(i) = -17606*i**3 + 9*i**2 + 1462*i + 14. Let v(d) = 3*j(d) - 14*m(d). Find the third derivative of v(p) wrt p.\nAnswer: -21144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**6\/90 + 77*f**5\/15 - 304*f**4\/9 + 25*f + 1. Determine r so that n(r) = 0.\nAnswer: 0, 4, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14540984 = 5*j, -893*j + 892*j + c - 2908196 = 0. Round j to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 19*k**2 - 51*k - 961. Let y be n(-19). Solve -y = 129*q - 131*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + r - 1. Let g be v(-2). Suppose l - g*o - 3560 = -3*l, 2669 = 3*l - 4*o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 404158*g + 263428 wrt g.\nAnswer: 404158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - (52 + -95)) + (-204)\/103?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*q - a, -2*q - 20 = -q - 2*a. What are the prime factors of -2*(0\/2 + q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rwwrrrwwrw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w*(w**8\/w*w)\/w)*w)\/w)\/w**(-1))\/(w**(-2\/3))**8)**(-3\/32) assuming w is positive.\nAnswer: w**(1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2 = -2*f, -3*x - 5 = -5*f - 5*x. Let u be (1 - 1) + 3 + 0. Suppose u*j - 9 = 21. Calculate the highest common factor of f and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - (-13 + -4) - -18) + 0 + -64 + 10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387a2 (base 14) to base 3.\nAnswer: 21001021120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**6 - 9448*f**5 + 9617*f**2.\nAnswer: 240*f**3 - 566880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 351*x - 87. Let p(r) = -70*r + 17. Let i(u) = 11*p(u) + 2*z(u). List the prime factors of i(-5).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.2 = 9\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 3)*(124*w + 234*w - 446*w + (3 - 4 - 1)*(w - 5 + 5) - 36*w - 89 + 89) to the form p*w + n and give p.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 141696 = 103*h. What are the prime factors of h?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*j**2 - 9*j**2 - 57*j**2 + 15*j**2 + 0*j**2 - 19*j**2.\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -696886 and -0.1?\nAnswer: 69688.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4404250889.\nAnswer: 293, 15031573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.049776, -147\/2, 0.\nAnswer: -147\/2, 0, 0.049776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**4 + 44*v**3 + 9258*v**2 + 95436*v + 154224 = 0.\nAnswer: -51, -9, -2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*k - 6840 + 990 = 0. What is the remainder when k is divided by (18\/(-3))\/(4\/(-22))?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**4\/12 + 4*f**3\/3 - 5*f**2 + f + 18. What is v(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 0.01795\nAnswer: -18.98205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12850923, -25701861, -38552799, -51403737?\n\"Answer: -12850938*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -232. Let j = -117.53 + f. Let t = -0.27 + j. What is the biggest value in t, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5515667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 189\/12 + (-4)\/(-16). Let l = -14 + w. Let b(k) = -k**3 + k**2 + k + 1. Let z be b(l). Is 2\/43 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/5 + 473*x**2\/5 + 1832*x + 9060.\nAnswer: (x + 10)**2*(x + 453)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*k**2 + 18*k**3 + 1 - 3 + 10 - 16*k**3 + 22 to the form f*k**2 + i + a*k + p*k**3 and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 5*p**4 - 2*p**4 - 2*p**4 + 2*p**4 + p**4 + (4*p - 6*p + p)*(0*p**3 + 4*p**3 - 2*p**3) + 2*p**4 + 0 + 0 + p**4 - 5*p**4 + 3*p**4.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231660 and 104.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z - 15. Let l be f(-9). Suppose l*g - 38 = 7. What is the greatest common factor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/12 - -137\/36. Let x(q) be the first derivative of 0*q**2 + 1\/4*q**4 - j*q**3 - 7 + 0*q. Solve x(n) = 0 for n.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(7\/(10*34\/255))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - d + 3 - 2*d + 0*d + 0*d + (-1 - 4 + 7)*(4*d - 5*d + 3*d) + (3 + 6 - 2)*(3*d + 0*d + 0*d)*(7 - 2 - 3)*(-134 - 30 - 51).\nAnswer: -9029*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198594\/5015*10\/(-27) + 1*4\/2.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 84*a. Let g(b) = -577*b**2 - 2. Give g(j(i)).\nAnswer: -4071312*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2142337 from 4.\nAnswer: -2142333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -88.3 * 130.\nAnswer: -11479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) + sqrt(190) + -2*sqrt(190)*-3)\/sqrt(10).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.25+0.006\nAnswer: -0.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + r + 4 = 5*r, -3*r = -4*s + 52. Let z be 2 + 2\/((-16)\/s). Put z, -0.1, 0.5 in decreasing order.\nAnswer: z, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56.68 + 12.02. Let w = n + 44. Let r = w - -0.6657. What is r rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + sqrt(243) + 1)**2 + (sqrt(48)\/sqrt(2))\/sqrt(8) - (-6*(6*4*sqrt(3))**2 + -3).\nAnswer: 37*sqrt(3) + 11344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1986571178?\nAnswer: 2, 5179, 191791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u - 1. Let p be d(2). What is the greatest common divisor of p and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 + 58827*a**2 + 8988669*a + 8929845 = 0.\nAnswer: -19455, -153, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -4 + 3\/2*h**2 + 5\/12*h**4 + 1\/20*h**5 - 7*h + 7\/6*h**3. Factor n(j).\nAnswer: (j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.934176 micrometers in millimeters?\nAnswer: 0.009934176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0536*-0.2.\nAnswer: -0.01072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 419988\nAnswer: 1\/139996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -30. Suppose b - 2*v + s = 0, 5*v - 20 = 4*b + v. Is (29 - 30) + (0 - b) + 20 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 16*t - 2. Let o be x(8). Let g = 1331\/7 - o. Let p = 1\/42 - -247\/210. Put -4, -2, p, g in decreasing order.\nAnswer: p, g, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 241*g**3 + 475*g**2 + 717*g.\nAnswer: g*(g - 239)*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-4037.8.\nAnswer: -1211.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7*1*(384\/(-21) + -4). Let i be ((-4)\/(8\/13))\/(6\/u). Let a = -90 - i. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-3 - (-5 - -1) - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-11 - -9)*(-303)\/(-6). Factor v + 112 + 76*n - 3*n**2 - 45 + 2*n**2 - 3*n**2.\nAnswer: -4*(n - 21)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f - 12. Let s(x) = 2*x**2 - 9*x - 7. Let j(o) = o**2 - 7*o - 5. Let g(q) = -3*j(q) + 2*s(q). What is g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - ((-265)\/4*836\/(-2640) - 9).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*v + 38*v = 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.049 - -0.091. Let m = 0.48 + -0.22. Let b = a - m. What is b rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-12 + 8 + 2 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 0 - 1 + 0. Let y be k(-1). Suppose 4 = q - y. Solve -q*r - 20 = -9*r, -r = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5876 divided by 4.\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 17. Suppose u*l + 2*l = 128. Calculate the remainder when ((-108)\/24)\/(1 - 22\/l) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96742710 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -4*i. Let o = 15 + i. What is the remainder when o is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 14*y = -15*y + 573, -k = y - 113. What is the remainder when k is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4 - -3) + -27 + 26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17*d**(-6\/11))**(-17) assuming d is positive.\nAnswer: d**(-3077\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-15)*10*(-42)\/(-28). Let y(l) be the second derivative of -l**3\/2 + 2*l**2 + 6*l. Let d be y(-4). Solve -4*j - m = d, 3*j + c = j - 2*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**3 + 3*n**2 - 6. Let z(g) = 7 - 3*g**2 - 473*g**3 + 3*g - 2*g + 480*g**3. Let j(x) = -4*t(x) - 3*z(x). Suppose j(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 1186*s + 8307. Determine y(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 58d?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2963 = -5*j, 3*j - b - 1780 = -2*b. Suppose -2*h - 16 + j = 5*s, 2*s - 2*h = 228. Suppose -43 = -g - s. Round g to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 1 + 40)*(-2 - 1 + 1)*(5*a - 3*a - 3*a) in the form z*a + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13725 + -7233. Does 94 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-140)\/(-15) + -4)*-3*(16 + -100)\/(-12)\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 not equal to -134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1991\/2 or 995?\nAnswer: 995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 - -304. Calculate the greatest common factor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 3 (c) -35\/6 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (471\/105 - 0)\/(384\/1920). Sort q, -1, -3.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1333\/20 - 332\/5. Factor -r*q**2 + 1\/4*q + 0.\nAnswer: -q*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 34014*d - 354. Determine h(0).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08018 to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1c4 (base 16) to base 8\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/7 + 1156030*n\/7 - 2312064\/7 = 0. Calculate n.\nAnswer: -1156032, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-3)\/(-2)*-2. Let p(k) = 3*k**3 + 4*k**2 + 7*k + 6. Let c(d) = d**3 + d**2 + d + 1. Let i(r) = u*p(r) - 4*c(r). Give i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.2, 4, 7 in increasing order.\nAnswer: 0.2, 0.5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 408309291, 408309288, 408309283, 408309276, 408309267, 408309256, 408309243?\n\"Answer: -g**2 + 408309292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**2 - 3003*z**5 + 123*z - 959*z**5 + 3 + 1 - 1420*z**5 + 128*z wrt z.\nAnswer: -322920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(35\/42)*2\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -429047 or -429086?\nAnswer: -429086","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/3, -220, 5, -270?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 563895079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**3\/(h\/(h\/((h*h**10)\/h))))**3)**(2\/49))**(2\/31) assuming h is positive.\nAnswer: h**(-12\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 58860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + 18\/(-10))\/1. Let t be (-5)\/15 + 1 - (-4)\/3. Sort t, i, -0.3 in decreasing order.\nAnswer: t, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/900 + 13*o**5\/225 + o**4\/180 - 26*o**3\/45 - 493*o**2. Solve p(a) = 0.\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21116*o + 540 = 21136*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l**3 - 89*l**2 - 9*l - 46. Determine i(10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94702822.\nAnswer: 2, 23, 677, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -52. Suppose -4*s - m = -7*s. Does 8 divide ((-54)\/4)\/((-3)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, -3, 0.2, -6\/61, -33\/19?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 10 = -0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**4\/2 + 3074*o. Let i(s) = 962*s. Give i(d(h)).\nAnswer: -5772*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r - 22. Does 14 divide q(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z - 12269 = 26143. Let c = z - -2516. What is c rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/7 - 259382*o\/7 + 14000796\/7 = 0. Calculate o.\nAnswer: 54, 129637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - 1 + 0*p)*(-4*p**3 - 3*p**3 + 6*p**3).\nAnswer: -2*p**4 + p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 n when four letters picked without replacement from {x: 2, f: 1, t: 4, n: 7, j: 1, u: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.97 times -158?\nAnswer: -6789.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28654321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12922.\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/575 and 113\/308660.\nAnswer: 1543300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2201 and 12567.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b7 (base 15) to base 14.\nAnswer: -7aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-12))\/((-2)\/(-8)). Let s(h) = h**3 - 4*h**2 - 5*h + 2. Let l be s(z). Suppose -l*t + 0*t = 6. Sort -5, t, 4 in ascending order.\nAnswer: -5, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 - 64 - 65 - 28*o**2 - 10*o**2 + 129.\nAnswer: -o**3 - 38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2. Let z(o) be the first derivative of -10 + 0*o - 1\/2*o**2. Give w(z(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 - 5*h - 3. Suppose 0 = -3*l - 2*l - 15. Let k(b) = -7 - 39*b + 60*b - 32*b - 9*b**2. Let c(q) = l*k(q) + 7*j(q). Factor c(r).\nAnswer: -r*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r + 63. Let n be h(-6). Let q be 6\/(-15) - 4\/(-10). Factor 0 + q*m + 0*m**4 + m**n - 1\/3*m**5 + 2\/3*m**2.\nAnswer: -m**2*(m - 2)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)*p*p**(-2\/9))**(-12\/11)\/((((p\/p**(4\/7))\/p*p)\/(p\/p**(5\/2)))\/(p\/(p**1\/p))**(3\/17)) assuming p is positive.\nAnswer: p**(56687\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 12 = 2*g. Suppose -5*v = -0*v - 90. Calculate the greatest common factor of g and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgirq. What is prob of picking 1 i, 1 q, and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/10 - 0)*(-1 + -1). Suppose -2*o = 4*y - 36, 5*o - 48 = -5*y + y. Which is the third biggest value? (a) x (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (7 + (-209)\/33)*(1049 + 1) and 600?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**2)\/(i\/i**(-2\/19)))\/(((i**11\/i)\/i)\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(-1515\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence loll when four letters picked without replacement from lllloolllollooll?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*c. Suppose c*w = 2*w - 10, 3*w - 40 = -5*u. Suppose 0*t + u = -5*t. Which is bigger: 2\/7 or t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-250)\/(-90) - 6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 greater than or equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 96. Find the second derivative of -4*h - p*h**2 + h**5 - 1 + 0 - 80*h**2 + 204*h**2 wrt h.\nAnswer: 20*h**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = -2*z + 1, -5*z - 20 = 0. Let a(h) = 8*h**2 + 13*h - 31. Let i be a(m). What is the tens digit of (-30)\/4*(i\/(-30) + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 87.34147cm?\nAnswer: 873414700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l. Let s(h) = 1. Suppose 53 = -55*q - 17 + 15. What is q*s(k) + i(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835554 is divided by 220.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541383298 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 7 = m - 0*a, -3*m = -5*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*a - 14*d + 13*d, -5*a - 5*d = -25. Let i(m) = 55*m - a - 20 + 28. Let w(p) = -2*p. Give w(i(g)).\nAnswer: -110*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.265 (b) 15 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -551, 7, 2, -4 in descending order.\nAnswer: 7, 2, 0, -4, -551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + -36. Suppose 5*z = 5, 2*g + 0*g - p*z + 2 = 0. Solve g = s - 5 + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 42, 2, 8 in descending order.\nAnswer: 42, 8, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, m: 11, c: 2, q: 1, j: 1}. Give prob of picking 1 c and 2 m.\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 17. Let p be r(-5). Do -46 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 6\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 9:42 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**11*p**23)\/(p\/(p\/(p**3*p)))**41 assuming p is positive.\nAnswer: p**(-151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1308 = i + 5*i. Find the common denominator of i\/110 + (-6)\/33 and -77\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 14 = -2. Let i(q) = -2*q - q**3 - 9*q**2 + 5*q**2 + 3*q**3 - 3*q**3 + 33 - 34. Give i(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*2 + sqrt(143) + sqrt(143))*6)\/(sqrt(55)\/sqrt(5)*-2).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-469 + 469 + 13*x)*(-404*x**3 - x + 833*x**3 - 356*x**3) to k*x + u + i*x**3 + o*x**2 + l*x**4 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2037486 divided by 11.\nAnswer: -185226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-5*c + 3*c + c) - 2*c + 3*c + c + 269 - 36*c - 269.\nAnswer: -35*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*l + 41 + 64 = 0. Let i(t) be the second derivative of l*t**2 + 1\/2*t**3 - 7*t + 0. Find the first derivative of i(u) wrt u.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-648)\/12)*4*33\/(-3)*3.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*s = 1401, 4*p + s = 5*s - 1860. Let w = p + 710. Calculate the remainder when w is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127888081*k**2 - 7484611*k.\nAnswer: 255776162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -1 (c) -1\/8 (d) -0.063 (e) -10\/3 (f) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 15\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 7*u**2 + 5*u - 7. Let y(j) = 2*j**3 - 15*j**2 + 9*j - 15. Let h(d) = 7*o(d) - 3*y(d). Is h(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 818857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*p**2 - p - 6*p + 0*p.\nAnswer: -33*p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -2.1. Which is the closest to 0.1? (a) h (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 6*r**2 + 4*r + 16. Determine l(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*3 + ((-2)\/(-3))\/((-10)\/90). Solve k = 50*v - 40*v - 60 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7*w*w\/(w\/(w\/(w*w**6*w)*w))*(w**(-2))**(-13))\/(w**(-11)\/(w\/w**(-1\/6)))**(2\/67) assuming w is positive.\nAnswer: w**(5701\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 1. Let b(o) = 4*o + 6. Let h be b(0). Let g(x) = x**2 - 10*x + 2. Let r be g(h). Let l = r - -28. Determine t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u + 24 = -2*c, 5*u - 4*c = 96. Find the second derivative of u*t**2 + 9*t**4 + 4*t**4 - t - 16*t**2 wrt t.\nAnswer: 156*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*r - 2*r + 3*r + 14*r + 10*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 4*w - 18. Let t(f) = f + 1. Let m(g) = b(g) + 6*t(g). Let o be m(8). Factor -o*q**4 + 2*q**5 + 2*q**4 - 2*q**2 + 4*q**4 - 2*q**3.\nAnswer: 2*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1264 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = 16 - 64. Suppose 3*f - 68 = -4*l, -80*l + 85 = 5*f - 79*l. What is the remainder when f is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2 - 8*f + 7. Let g = 750 + -737. Let u(y) = y**3 - 13*y**2 + y - 8. Let h be u(g). Let s(t) = -6*t**2 + 7*t - 6. Determine h*i(v) + 6*s(v).\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 5:55 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**(-1))\/i))**37)**41*(i**(3\/4)*i*i\/(i\/(i*i**(-1\/5)))*i*i)\/((i**(4\/9)*i)\/i**(-6)) assuming i is positive.\nAnswer: i**(545599\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22403113 + -10?\nAnswer: -22403123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3352*u**2 + 4 + 3352*u**2 - 4 - 9*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 7 (c) 3\/16 (d) -1\/120\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 12. Let f(r) = -6*r**2 - 31*r + 4. Let a be f(n). Suppose 0 = 8*d + a - 1. Put 3, -2\/3, -5, d in increasing order.\nAnswer: -5, d, -2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3304, 3306, 3308, 3310, 3312, 3314?\n\"Answer: 2*p + 3302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10021333021 (base 4) to base 15.\nAnswer: -167c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-14) - (-6)\/3)\/((-1236)\/1648)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 27 = -3*f, 198594*f + 9 = 198597*f for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 501.8, 5, -9\/13?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 374684087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/50)\/(-1 - 0) + -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 - 3*f + 3. Let t be a(2). Suppose -s = t*q - 0 - 11, 0 = q + 4*s - 6. Solve 0 = -5*i - 7 + q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 33*m - 9. Let s(z) = -2 + z - 5*z + 4 - 4*z. Let d(l) = -2*p(l) - 9*s(l). Let j(h) = -h. Determine d(j(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2926?\nAnswer: 2, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 338435079 divided by -16183?\nAnswer: -20913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 78651?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 15500?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10862 + -10838. What is the biggest value in -3, v, -5\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3332759.\nAnswer: 191, 17449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 547*q - 540*q = -2366. Let b be 1\/((-3)\/858)*2. Let m = q - b. Is m a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.77 - 0.17. Let n = 19.4 + l. Let z = 22.72 - n. What is z rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 88, 105, 136, 187, 264, 373, 520, 711?\n\"Answer: u**3 + u**2 + 7*u + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-4)*d**(-6)*(d\/(d*d*d**(-4\/3)))\/d*d\/((d*d**(-2\/7))\/d) assuming d is positive.\nAnswer: d**(-176\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000000644396 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from {w: 5, x: 1, e: 3, s: 4, z: 5, n: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 151477 minus -914?\nAnswer: 152391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -5, 4, 0.23, 14 in increasing order.\nAnswer: -5, -1\/6, 0.23, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 533535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 274 = 302. Does 18 divide (0 - (-2)\/4)*z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 43, -1, 22, 20 in increasing order.\nAnswer: -1, 10, 20, 22, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102030200311 + 3?\nAnswer: -102030200302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -174424, -45, -1 in increasing order.\nAnswer: -174424, -45, -1, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 11 (b) -3\/4 (c) -146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57142 = -1500*f + 406*f - 16156 for f.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 319*n + 1999. Let j be u(-6). What is the greatest common factor of 42755 and j?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 15.3\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.1798um to millimeters.\nAnswer: 0.0481798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 - 569*l**2\/4 + 18816*l + 410571.\nAnswer: (l - 294)**2*(l + 19)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.0316?\nAnswer: -0.00632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15654 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 613.53?\nAnswer: 61.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 4*v + 904, i = 5*v + 467. What is the greatest common divisor of 136 and i?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 6*s**2 - 4*s - 41. Let j = -40 + 35. Let p be h(j). Solve -4*q - 3*v + 3 = 0, -1 = 3*v - p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2837 and 393.\nAnswer: -1114941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 39512798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 10. Suppose 5*s - 4*u = 2*s - 12, -u + 3 = 4*s. Determine h(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 9*t + 1. Let a be c(-1). Let i be (36\/15)\/((-24)\/(-2880)). Let q be (i\/(-45))\/a*(-10)\/(-4). Solve -j = 4*o - 20, 11 + 5 = 2*o + q*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5 + 1 = 0. Let d be (1 - 1) + 2 - j. Does 4 divide (d - -3)\/(6\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112443 is divided by 1443.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = m + 9. Suppose -5*a - 3*f + 726 = -15, 0 = 3*a - m*f - 435. Does 32 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 17*k**6\/40 - k**5\/20 + 7*k**4\/24 - 10*k**2 - 65*k. Let t(s) = 34*s**3 - 2*s**2 + 5*s. What is 7*t(p) - 5*x(p)?\nAnswer: -17*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 11:25 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010000021 (base 3) in base 16?\nAnswer: -18901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 38*a**2 + 14. Let z(y) = -y. What is t(z(h))?\nAnswer: 38*h**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 34*o**3 - 20*o**2 - 62*o + 48 = 0.\nAnswer: -24\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-210)\/(-60)*4\/2).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11*(-3)\/(-165))\/(-2))\/((-3)\/3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3157 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -87 times -0.4\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrojyyjiirirjrri. What is prob of sequence ijj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(0 - 2 + 1)*(7*p**3 - 263 - 269 + 533 + 4*p).\nAnswer: 14*p**3 + 8*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-3) - (5 + (-36505)\/21)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70768 is divided by 7066?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28456 - -28455.9999871328. What is m rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/801 and 26\/382947?\nAnswer: 102246849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from uukkryhvh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -132.81 - -124.4065. Let g = a - -0.0135. Let q = g + 8. Round q to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.32*-0.1\nAnswer: -1.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(2\/87)*r)\/(r**(-11)\/r))**(-1\/31))**(-22) assuming r is positive.\nAnswer: r**(24926\/2697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4164916377?\nAnswer: 3, 17, 59, 67, 73, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohohoooohohoooohq. Give prob of sequence oo.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1676507 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-231)\/396)\/(105\/40)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/(-51))\/(1\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 > 194\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18875 + -9175. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1120*o - 4578 = -1126*o. What are the prime factors of o?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(-7*o**4 + 3*o**4 + 2*o**4) + 9*o**5 + 7*o**5 - 5*o**5.\nAnswer: 15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 + 11*d**2 - 89*d + 145. Let x be h(2). Which is the third biggest value? (a) x (b) -204 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 7)\/((-4)\/2). Let o(w) be the third derivative of w**6\/120 + w**5\/15 + w**4\/24 - w**3\/2 + w**2. List the prime factors of o(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 24*h + 96. Let y be w(-4). What is the closest to y in 1\/7, -5, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011100 (base 2) to base 15.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -410*w - 1571 = -442*w + 1629. Factor 120 + 70\/3*j**2 - 5\/3*j**3 - w*j.\nAnswer: -5*(j - 6)**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5 - 20. What is the units digit of x\/20 + (-27)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258b4 (base 13) to base 8.\nAnswer: 207746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1368035 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + -260?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -678 = -12897\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 3*j - 5 - 1 + 1 + 75*j**2. Is a(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 6 = -2*i. Let z be 5 - -4*i\/4. Suppose z*m + m = 80. What is the highest common divisor of m and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 4*t**2 - 3*t - 9. Let q(j) = -16*j**3 + 20*j**2 + 15*j + 46. Let u(s) = -11*d(s) - 2*q(s). Give u(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 348.7 - -92.3. Is r greater than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.605 and -4830.\nAnswer: -2922.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 145297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 3*v**2 + 4*v**2 + (-2*v + v + 0*v)*(23*v - 49*v - 20*v) - v**2 + 6*v**2 - 4*v**2 to the form i*v + s + r*v**2 and give r.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.15. Let u = 0.150108 + f. What is u rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37013, 1, -1.\nAnswer: -37013, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)*(t**(-2\/9)*t)\/t)\/((t*t\/(t*t**(2\/7)))\/(t\/(t*t**(-12)))) assuming t is positive.\nAnswer: t**(655\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14.5? (a) -12 (b) -4 (c) -9 (d) 130 (e) 1\/4 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4*w - 3*w**4 - 2*w + 23*w**2 - 24*w**2 to the form o*w**2 + g*w + q*w**3 + a*w**4 + f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 321563 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 24*j**2 + 86*j - 148. Give v(27).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**5\/30 - 7*c**4\/24 - 2*c**3\/3 + 190*c**2. Suppose -2*t - 8 = -3*r, -r + 21 = -5*t + 8*t. What is m(r)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165 - -293. What is the highest common factor of r and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-60) - (-2 - -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(24\/28))\/(-112*(-5)\/480)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 69*k - 490. Let x be g(7). Let l(i) = -6*i - 46. What is l(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - (3*-2*sqrt(153) - sqrt(153)))*6)\/((sqrt(1296) - (sqrt(1296) - sqrt(1296)*3))*-3).\nAnswer: -4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 - 11*s + 3. Let c be f(-11). Suppose c*b = -2*n + 14, 4*b - 12 = -3*n + n. Calculate the lowest common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900624 a multiple of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 804 or 782?\nAnswer: 804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 150 - 142. Suppose 60 = -s*l + 14*l. Let b be -1 + (-5)\/(l\/(-4)). What is the nearest to b in -3\/7, -2\/7, -9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1671737 + 2*c**2 + 1671771 + 0*c - 2*c to the form t*c**2 + o + p*c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25524211\/484 + 52736. Let f = -31921\/18876 - x. Let k = 18\/13 + f. Which is the second biggest value? (a) k (b) 0 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.57429 micrometers to centimeters.\nAnswer: 0.006057429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/135 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d. Let v be (-18)\/(-7) - (-6)\/14. Suppose v*b = -5*u + 15 + 21, -2*b = -5*u + 1. Let g(f) = -10 - b*f + 2*f + 10. Determine l(g(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q - 4. Let c = 14 + -10. Suppose 0 = 2*w - q - c. Let g(r) = 3*r - 3. What is g(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 170 - 36. List the prime factors of k.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/620 and -15\/9424.\nAnswer: 47120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 1. Give h(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 1. Let q be (-56)\/(-2)*r\/(-4). Let x = q - -30. Solve k - 4*k - x = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 1. Let x(d) = 5*d**3 + 4. Give 4*j(o) + x(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((18032\/42)\/(-23) + 18\/(-54)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 58. Calculate r(-25).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**5\/5 + 3*n**3 - 132*n**2 - 256. What is the second derivative of z(u) wrt u?\nAnswer: 12*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 2783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 5:20 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23449, 31504, 39559, 47614?\n\"Answer: 8055*w + 15394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - (0 + -5)) + 69. Is -1 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-9) - 0\/(-1). Let g = -47 + 44. Which is the nearest to 5? (a) 4 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -0.5 (b) 1\/6 (c) -2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/3, 19610, -1\/2, -4 in ascending order.\nAnswer: -4, -11\/3, -1\/2, 19610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110201 - 2?\nAnswer: 110122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10889912*c - 264. Let f be j(-3). Round f to the nearest 100000.\nAnswer: -32700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541.2286589 minus -2?\nAnswer: 543.2286589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r + 25 = 0. Let y be r + 5 - 6\/(-9). Find t, given that -y*t + 2\/3*t**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 716490791?\nAnswer: 29, 97, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 22 = -5*u. Let i be (u\/3)\/(5 - (-1384)\/(-276)). Solve -v + 4*r + 3 = 2*r, -4*v = 3*r - i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1)*(-1 + 1 + 2)*(19*s**3 + 68*s**3 + 22*s**3).\nAnswer: 218*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (49\/(-4))\/((-22)\/(-4)). Let s = f + 8\/11. What is the closest to s in -0.2, 2\/3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 224357*l**3 + 2*l**2 + 18*l + 1829?\nAnswer: 1346142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175142 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67574237.\nAnswer: 3727, 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -4.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4101 + 4100. Put 3, r, 0, -27, 5 in increasing order.\nAnswer: -27, r, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -508741, -1017565, -1526389?\n\"Answer: -508824*g + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - (-86 - -44)) + 47.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) + 1*(-2*sqrt(784) + sqrt(784)))\/((sqrt(88) + -1*sqrt(88))\/sqrt(11) + sqrt(48)\/sqrt(54)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 0.2 (c) -3 (d) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) -2.9 (c) -14 (d) 4 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8604 is divided by 41.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 823? (a) 5 (b) 3 (c) 1 (d) 59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/(n*n\/(n**(-2\/3)\/n)))**(2\/21) assuming n is positive.\nAnswer: n**(20\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4071, 8746, 13421, 18096?\n\"Answer: 4675*j - 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -929*s**2. Let y(x) = 272694*x - 136346*x + x**2 - 136348*x. Give y(q(k)).\nAnswer: 863041*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(-15*i + 1 + 3 - 2).\nAnswer: 30*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226509*(-2184)\/(-3640)*((-20)\/18)\/(-2).\nAnswer: 75503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 2\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1037 - 2.01901. Round r to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 3*f**2 + 2*f - 1. Suppose d + 2*h = -1, -d = d + 3*h + 1. Suppose 0 = 2*i - 1 + 5. Let z be 2\/d + (-2)\/i. Give r(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33821 divided by 1\nAnswer: -33821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 6*p**2 - 7*p**2 - 5*p + p**3 + 3*p + 3 + 3*p**2. Give j(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6363088000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*c + 5. Let k be (c + -2)\/(1\/19). Let l = 38 + k. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/(sqrt(48)\/sqrt(4)))\/sqrt(8).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375 = -c - 374 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -15. Suppose y*r - 1965025 = -5*l, -r + 3*l = r - 1309985. Round r to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11193475193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-228)\/((-1292)\/34))\/21\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*y - y + 68. Solve -v - 6 = -6*l + 4*l, -18 = y*v - 5*l for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaooloo. What is prob of picking 3 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -68 - -69 - 122\/50. Which is smaller: w or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5688 and 120159?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + 3.07. Which is the second biggest value? (a) 1 (b) 1\/2 (c) -1\/4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -35*b + 35 + 35 + 29, 2*p - 5*b = -2073 + 2064 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -908 by 170.\nAnswer: -454\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (5415\/(-12) + 6\/(-8)). What is the greatest common factor of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121024649*o*r**3*u + 647*o*r**3 - 10026*o*r**2 + 2*o*r + r**3*u with respect to u.\nAnswer: -121024649*o*r**3 + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -80*b - 16. Suppose -60 = 18*u + 12*u. Let c be q(u). Do 145 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3 + (-80)\/180*12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33863949 and 121959?\nAnswer: 101591847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, f: 3, l: 4, m: 3, i: 4}. What is prob of picking 2 i and 1 m?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14 + 18\/4. Differentiate 0 + 0*l**3 - 7*l**3 - 2 - 3*l**i with respect to l.\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eveeeve. What is prob of picking 1 v and 2 e?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.95 - -0.05. Let s = a - -4. Let j = s + -6.9. What is the second smallest value in 1, 3, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 6095 = 1639. Let u = j - 469. Suppose 0*a + 5*a - u = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*h + 4 = 0, -2*s = 5*h - 0*h + 13. Suppose -s = p - 2. Find the common denominator of (-645)\/(-110) + -4 - p and -91\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 188\/11, 2, 234 in decreasing order.\nAnswer: 234, 188\/11, 16, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 2, 26, 330 in decreasing order.\nAnswer: 330, 26, 2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**3 + s**3 + 10*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1470\/(-28))\/7)\/(60\/(-5)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 23 (b) -11 (c) 1.1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -4*p - 2*w, 2*p - w + 29 - 230 = 0. Let y = -104 + p. Let q be (4\/2)\/(-1 - 1). Put y, q, -2, 4 in descending order.\nAnswer: 4, q, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 9. Suppose 5*c - 6*c = -6. Calculate the smallest common multiple of m and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*n + 10*n + 7783 = -75*n for n.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)\/i)**(-27)*((i\/(i*i*i\/(i**7*i*i)))\/i)\/(i*i**(1\/4)*i))\/((i\/(i*(i\/((i\/(i**0\/i))\/i))\/i*i))**39\/(i**(-2)*i*i**3)) assuming i is positive.\nAnswer: i**(239\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3426466*g**2*x + 7*g**2 + 7*g*x + 408*g + 19*x + 2 wrt g?\nAnswer: -6852932*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:36 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149778 and 29202.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 4*o - 8*o + 892, 0 = -h + 2*o + 223. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -118 - -131?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4523505 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*h = -71, 52*n - 21 = 47*n + 2*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-14)*-4*((-1932)\/598)\/(123\/(-1066))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l - 5 + 7\/3*l**3 + 9\/2*l**4 + 0*l**2. What is the third derivative of z(g) wrt g?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5593*n + 6829*n - 10310*n - 11873*n.\nAnswer: -20947*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/24 - 2*o**3\/3 - 2*o**2. Suppose 2*k - k = -5. Let y be 6\/15 + 2\/k. Give m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -10. Suppose -2*a = a - k. Suppose -a*f = 4*f. Solve -q - 3*q - 20 = f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117 - 0) + -2248 + 2430?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8255 and 8.7.\nAnswer: 8263.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.92 and -0.3?\nAnswer: 11.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q**3\/3 + 7842*q**2 + 150556*q\/3 - 58032 = 0. What is q?\nAnswer: -1674, -52\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30491467 to the power of 1\/3, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1581*j - 1769*j - 1128 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 7*y - 30. Suppose -6*q + y = -q. What is the derivative of -3*o**2 + q*o**2 - 6 + 8*o**3 + 8 wrt o?\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in 4\/3, 1220, -1\/3, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75132.4999989 + 75131.84. Let j = 0.66 + i. What is j rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23955436 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6944\/5 or -1390?\nAnswer: -1390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + g**2 - 3 - 3*g - g + g - g**2 + (-1 + 2 + 0)*(2*g**2 + 4 - 4) + 4*g**2 + g**2 - 4*g**2.\nAnswer: 3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.044 + 0.574. Let a = 0.13 - y. What is the closest to 2 in -3, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 144132*c + 72127622.\nAnswer: -2*(c - 497)*(c + 72563)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 92356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from wqqrxqpnpqxx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12076 + -10793.86122.\nAnswer: -22869.86122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -6)\/3 - -13. Suppose -f = -5*j + 3. Suppose 119 - 60 + 79 = 46*l. Calculate the least common multiple of j and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.15081 - 0.1?\nAnswer: -13.25081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1435\/18 + -524063\/6570. Let v = z + -42228\/2555. Let b = -24 - v. Find the common denominator of 101\/2 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 3*i + 2. Let l be z(-3). What is the second derivative of 10*c**2 + 6*c - c**l + 0*c wrt c?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.81995 litres to millilitres.\nAnswer: 85819.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 4:59 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255\/(-1870) - 488\/(-352).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ilill?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 833\/1105 + 3\/(-5). Let u(v) = v**3 - v**2 - 2. Let j be u(2). Suppose 5 = -4*t + 25. Which is the smallest value? (a) t (b) o (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1560*l - 1628*l + 2659*l)*(7*l - 9*l - 17*l).\nAnswer: 10051*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3555 + 3559.3. What is i rounded to 1 dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (14 + 27 - 33)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444368?\nAnswer: 2, 3, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/272 and -47\/24.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16649358, -16649365, -16649374, -16649385, -16649398, -16649413, -16649430?\n\"Answer: -c**2 - 4*c - 16649353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1236400 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -13 + 32 + -16.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2\/5 + 159702372*i\/5 - 3188105952803298\/5 = 0. Calculate i.\nAnswer: 39925593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = 2*v, -8226*i - 3*v = -8225*i + 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5281*g - 3*g**2 - 5276*g + 13*g**2 - g**2 + 3*g - 3*g + (-2 + 2*g + 2)*(-3*g - g + 5*g).\nAnswer: 11*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**3 + 6*w**2 + 7*w - 8. Let z(g) be the second derivative of g**5\/20 - 4*g. Let n(k) = h(k) + 5*z(k). Does 18 divide n(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 7*g - 66*g + 57*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2))\/((-6)\/9). Let q(m) = v*m**2 - 19 - 3*m + 17 - 2*m**2. Give q(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 divided by -311?\nAnswer: 239\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31205472 and 10608?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(112) + 0 - sqrt(112))*3 + 2*(4 + -2*sqrt(112)))**2.\nAnswer: -160*sqrt(7) + 1817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*t**2 - 34*t**2 - 3*t + 134 - 134 + t**3 - 2*t**3 as s*t**2 + f*t**3 + k*t + d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - -29. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1494.86ml to litres.\nAnswer: 1.49486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d. Let v(s) = 47*s**2 + 26*s. Let p(y) = 39*y**2 + 24*y. Let u(q) = -7*p(q) + 6*v(q). Calculate u(n(z)).\nAnswer: 9*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238741110.\nAnswer: 2, 3, 5, 941, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**7\/70 + t**6\/12 + 37*t**5\/180 + 5*t**4\/18 + 2*t**3\/9 + 22*t**2. Determine w, given that b(w) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 - 62. Is 1*(i + (-4 - -6)) 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 -183 - -138 - 1127\/(-28)?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 269.62 + -265. Let y = k + -0.52. Let b = -4.10062 + y. What is b rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000208 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3684, -0.3, -2\/3 in decreasing order.\nAnswer: -0.3, -2\/3, -3684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -296\/9 + 33. Let y(r) be the third derivative of -r**2 + 1\/90*r**5 - l*r**3 - 1\/24*r**4 + 0*r**7 + 0 + 0*r - 1\/1008*r**8 + 1\/90*r**6. Factor y(v).\nAnswer: -(v - 2)*(v - 1)*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -671 + 746. Calculate the remainder when s is divided by (-4)\/5*5*(-104)\/16.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 2*u + 489, -26 + 352 = 2*o - 3*u. Let c(q) = q**2 - 33*q - 109. Let l be c(33). Let f = l + o. Does 34 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = 4*b + 740, x + 3*b + 374 = 0. Let p = -345 - x. Calculate the remainder when p is divided by 2\/3 + (-28)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**6\/3 - 235*b**4\/2 + 5*b**3\/3 - 35*b**2\/2 + 529. What is the third derivative of o(m) wrt m?\nAnswer: -120*m**2 - 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -325*n - 329*n + 989*n - 330*n. Let r(x) = -33*x + 2. Give m(r(z)).\nAnswer: -165*z + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -177, -405, -725?\nAnswer: -1137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17314 divided by -4373?\nAnswer: -17314\/4373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = 5*a + 125. Let i be 27*(4 + 1 + -4). Suppose i*q = a*q + 6. Solve -5*o - q = -8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**10*r)*(r*r\/(r*r*((r*r**(-2\/15))\/r)\/r*r*r))\/r*((r*r**(-8)\/r)\/r)\/r**(-6\/11))**(15\/7) assuming r is positive.\nAnswer: r**(-218\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 930, 3665, 8288, 14799, 23198, 33485?\n\"Answer: 944*c**2 - 97*c + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33\/10 - -24\/5. Let o = 742665 - 742660. Which is the third biggest value? (a) 4 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let t(q) = -8 + 17 - 8 - 3*q. Give t(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*t**2 - 3368\/3*t + 1417928\/3.\nAnswer: 2*(t - 842)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:34 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.54967 litres in millilitres?\nAnswer: 82549.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**4 + 49*z**3 + 401*z**2 + 4*z?\nAnswer: 72*z + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 81 + 80 - 160 - 3*t. Let u(v) = v**2 + 7*v + 5. Let w be u(-6). Let a be n(w). Solve -19 = a*g + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 196886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from rxxtttrtxntjxmx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -113, -171?\n\"Answer: -58*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 46306632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4402483 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 + 89.5. What is o rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.072 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22221201101022 - -111?\nAnswer: -22221201100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -39. Let z(r) be the second derivative of 0*r**2 - 1\/3*r**3 - r + g. Let c(i) = 2*i**2. What is c(z(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-6)*15\/(-210)*-40*84\/(-104).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 3)*(1 - 2 - 1 + (-3 + 1 + 3)*(-1 + 1 - 1))*(-1 - 1 + 5*d - 6*d) to g + u*d and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 12b2c?\nAnswer: 12b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*i + 5871 = 1997 - 15119 - 6423 for i.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**3 - 12*i**2 + 85*i - 42. Let h be y(-8). Solve h*q - 3*z = 48*q + 2, -3*z = -3*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19916.39965 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2 + 6 = 0. Suppose -6 = -z*x + 34. What is the common denominator of 1\/4 + (-179)\/x and 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 35 and 327.643485604.\nAnswer: 362.643485604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 + 95*s - 420. What is z(4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.51 - -1018.51. Let n = r + -1009.489. What is n rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -32. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + a - 4*a - 621 + 612.\nAnswer: 2*a**2 - 3*a - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 4*s + 1. Let m be y(-3). Suppose m*v = 2*v + 18. Suppose 103 = w + 31. What is the greatest common divisor of v and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 30*b**3 + 3203*b**2 + 60339*b - 24650 = 0.\nAnswer: -493\/6, -25, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011095521 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 2*k + 7 + 33, -4*o + 3*k = 81. Let y(q) = q**3 + 20*q**2 - 22*q. Let v be y(o). Calculate the greatest common factor of v and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c = -72*c + 315. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12317*d + 12233*d - 24467*d.\nAnswer: 83*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 + -120.94. Let n = 0.06 - y. Let t = -19 - -19.5. Sort -0.4, t, n.\nAnswer: n, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 21*r**2 - 39*r + 13. Calculate w(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -499810 by 1510.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:31 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*t - 8. Let g(f) = -3*f + t*f + 4*f. Let n(i) be the third derivative of i**5\/60 - 2*i**2. Determine g(n(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56671 is divided by 161.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 826\/9 (b) -0.6 (c) -5 (d) 2 (e) -0.3 (f) 3 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 550135839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2278607 <= -2278608?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:47 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9212)\/(-423)*720\/280.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211500090 a multiple of 2207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64364.38l in millilitres?\nAnswer: 64364380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 3*h**2\/2 - 40*h - 299. Determine l(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*c - 29 = -4*h, 3*c = h - 9. What is the least common multiple of 6\/21 + (-110)\/(-7) and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 94 = d. Let i = -25 + d. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 27*o**2 + 53*o + 150. Let r be z(29). Sort 332, -2\/5, -0.3, r in decreasing order.\nAnswer: 332, r, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 + -39. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-8)*-3 + 8647730\/688 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -1\/27*r**3 + 0 - 1\/45*r**5 + 0*r**2 - 6*r - 1\/18*r**4. Factor t(v).\nAnswer: -2*v*(v + 1)*(2*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91542 + -91542. Let h = 9 + -6. What is the closest to 0.1 in 1, -0.2, h, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 59, 77?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601454 is divided by 296?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 42 = 3*x. Calculate the greatest common divisor of x and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*sqrt(19)*2.\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t + 163 + 101 = 0. Suppose 25*f + 30 = 27*f. Solve 0 = -11*o + t*o + f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3469900 and 84?\nAnswer: 10409700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -491*g**2 + 17*g - 26. Calculate c(2).\nAnswer: -1956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, l: 9, z: 8}. Give prob of picking 3 z and 1 l.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6263040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 5*x - 63 = 0, 151*m - 146*m = 3*x - 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3047755*d**3 - d - 6095521*d**3 + d + 3047745*d**3.\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24940 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**4\/6 - 65*n. Factor v(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35335, 70679, 106037, 141415, 176819, 212255?\nAnswer: 247729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -1432?\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*m - 5*m - 5*m in the form v + q*m and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-10)\/5*(-8)\/((-56)\/14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 20*i - 276, i + 2190 - 2214 = 5*p for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11*w = -4*w - 3930. Solve 0 = -w*i + 661*i - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 13*j - 36. What is w(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3279838927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 0.444.\nAnswer: 0.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*a**2 + 57\/2*a + 27.\nAnswer: 3*(a + 1)*(a + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/11 - 1101025532*d\/11 + 151532152764485378\/11.\nAnswer: 2*(d - 275256383)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h**3 - 27*h**3 - 39*h**3 + 82*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**3 - m**3 - 4*m**3 + (0*m**2 + 2*m**3 + 0*m**2)*(2 - 3 - 1) - 4*m**3 + 5*m**3 - 2*m**3 in the form p*m + d*m**3 + s*m**2 + j and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*l + 16 = 0, -2*r + 10 = -4*r + 2*l. Let s be 8 - r*2\/(-3). Let b = 7 - s. Put -2\/5, 2, b in decreasing order.\nAnswer: 2, b, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b + 3. Let v = -2 - 7. Let i be v\/(-6)*8\/6. Let q(j) = -9*j - 7. Let w(y) = -2*y - 1. Let s be w(-3). Calculate i*q(d) + s*z(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1306\/545?\nAnswer: -1306\/545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 5, 0, -2, -12 in ascending order.\nAnswer: -60, -12, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*f - 15 = 72*f. Let p(c) = c**2 - 1. Let b(l) = -5*l**4 + 40*l**2 - 30*l - 5. Let g(y) = f*p(y) - b(y). Determine d, given that g(d) = 0.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -1\/7 (c) 0.52 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*f = c - 78, 55*c - 35*c = 22*c + f - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 10:30 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + -3 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgg when three letters picked without replacement from {m: 1, g: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + g = 1, 63*w + 2*g = 68*w + 2. Solve w = -12*l - 10 - 26 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*o**2*q**5 - 310*o**2 + 11*o*q**2 - 11699*q**5 - 143*q**2 wrt q.\nAnswer: 2220*o**2*q**2 - 701940*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -21 - 11. Calculate the greatest common divisor of 36 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3613.742 less than 0.807?\nAnswer: -3612.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3877966 to the power of 1\/2, to the nearest integer?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 0)*(-1 - 2*t + 1) + 0 - t + 0 + 7*t + 40*t - 11*t)*(0 + 3 + 0 + (1 + 1 - 4)*(0 + 4 - 3))*(0*t + 2*t + 0*t).\nAnswer: 78*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 1597 = -11*f + 13*f, -3*f = 5*t - 2397. List the prime factors of f.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244637709.\nAnswer: 3, 31, 643, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -240, -6043, -1\/4?\nAnswer: -6043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 983104693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f - 3*f + 4*f + 24 + 5*f. What is the remainder when 29 is divided by r(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (6 - 13)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1\/6*a**4 - 33*a + 0 - 1\/3*a**3 - 1\/30*a**5 - 1\/3*a**2. Factor n(u).\nAnswer: -2*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n. Let l(i) = -7*i + 107 - 107. Give -2*l(t) - 3*p(t).\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.833 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**2 + z**2 + z**2)*(-7661*z + 15321*z - 7645*z - z**2 - 15) to the form b*z**3 + p*z**2 + f*z**4 + q + u*z and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1218684401 smaller than -1218684401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -71. Let b(n) = n**2 + n - 4. Calculate the remainder when b(a) is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*j + 96 + 53 = -61. Let p(k) = k**2 - 14*k + 38. What is p(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Let i = 442\/1035 + 2\/115. Which is the third smallest value? (a) 0.4 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.372 - 1.772. What is the second biggest value in c, 1\/55, 0.7?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 6*l - 684 = 0. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32205 - -42?\nAnswer: 32251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -0 + 20. Suppose -v*u + 0*u = -5. Solve 2*c - u = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooyoyoyyy. Give prob of picking 1 o and 1 y.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 - 75320*v**3 + 282749840*v**2 + 6818568960*v + 40976593920.\nAnswer: 5*(v - 7544)**2*(v + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k**(-2)\/k)\/k))\/k*k*k\/(k\/k**1))**(-42) assuming k is positive.\nAnswer: k**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44230 (base 15) to base 12\nAnswer: -a5353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550055 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 433 - 429. Which is the second smallest value? (a) 0 (b) -4 (c) p (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q. Let v(x) = 226*x**2. Calculate b(v(h)).\nAnswer: 452*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -21 + 6 + 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from ttaaataaatattattaat.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbqqiihp. What is prob of picking 1 h and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4327 + 42324. Let q = 84451 - k. Round q to the nearest one thousand.\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-432)\/189 + 2760\/56 + -17\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/6*-7*(-9)\/420. Are g and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*a**2*x**2 + 456593*a**2 - 1056*a*x**3 with respect to x.\nAnswer: 12*a**2*x - 3168*a*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**2 - 18*p**2 + 52*p**2 - 25*p**2 + 3 - 3.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/89971 - -10705329\/109764620. Find the common denominator of 31\/976 and o.\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 42. Suppose 2*n + 13 = 4*c - c, 0 = 4*c + n - 10. Suppose c*a = -a. Solve -i - x - 4 = 0, -15 = 3*i + g*x - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -44*p - 70. Suppose 4*b + 16 = 2*k, -8 - 16 = 2*k + 4*b. Calculate the remainder when 790 is divided by i(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*l + 11*l + 10*l)*(l**2 + l**2 - 4*l**2).\nAnswer: -84*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2 - 6 = 0, -q - 24 = 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 66472709*v**2 - 238281359.\nAnswer: 132945418*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5282474 (base 11) in base 4?\nAnswer: 203132210212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.62 (b) -11 (c) -6\/1769 (d) 0.4 (e) -5 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 m, and 1 j when three letters picked without replacement from {z: 3, m: 4, j: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 230 (b) -20\/349 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2, 2*j = 2*k + j - 7. Solve -4*b + 7*b = k*m - 12, -b - m = 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.2, -77\/16, -3 in ascending order.\nAnswer: -77\/16, -3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 2 + (11 - 7)*-1. Suppose -4*t = -2*s - 2, 3 = 4*t - s - 2. Suppose -6\/5*x**3 - 2*x**t + 2\/5*x**5 + v - 4\/5*x + 2\/5*x**4 = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -320944132673.\nAnswer: -320944132672.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h + 31*h + 18 = 0. Solve 11 = p - 4*z, 0 = -4*z + h*z + 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - t + 6*t = 0, z + 4*t = -13. Let r = 0.1591 - 0.1091. What is the nearest to r in z, 1, 5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 145, 480, 1023, 1762, 2685, 3780?\n\"Answer: -2*s**3 + 116*s**2 + s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (63 + -44 + -33 + 77 + 0)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 4*j**2 - 31810*j**3 - 16793*j**3.\nAnswer: -48603*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -13 (c) 0.08 (d) 0 (e) -4\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(448) + sqrt(448)*-2)**2 + (sqrt(112) - (1 + sqrt(112)))**2 + -1*sqrt(7)*-5)*1.\nAnswer: 5*sqrt(7) + 1345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 871 - -14. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.2 + -1.2. Let x = 4.3 - -0.4. Let c = x - w. What is the third smallest value in 4, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*g*s**6 - 787*g*s**4 + 36*g*s**2 + 694*s**2 wrt s.\nAnswer: 1800*g*s**3 - 18888*g*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in decades?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 - 9)\/(2\/6). Let u(j) = 2 - l - 3 - 5*j. Is u(-3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(18\/5)\/((p*p**(1\/2)\/p)\/p)**(-11)*(p**(1\/2))**7\/((p*(p**(-3)*p)\/p)\/((p\/p**2)\/p)) assuming p is positive.\nAnswer: p**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i + 5. Let r(l) = 8*l + 1 + 10 - 14 - 1 + 0. What is 5*c(p) + 6*r(p)?\nAnswer: 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 395*p - 103998 + 103998 as t + a*p and give a.\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 0*k = -49. Which is greater: 56\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/207? (a) 4 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + -3*sqrt(1008).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 271 = 7. Suppose 2*g - 4 = -101*m + 103*m, 3*m + 4 = 2*g. Suppose f - 201 = -3*v - 69, m = -3*v - 4*f + l. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 1 = 0, y = -3*z + 3*y - 10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 582336731*t - 549478217.\nAnswer: 582336731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 80 = -28. Let z be 7\/4 + (0 - 3\/c). Solve z*j = -j + 3*f + 12, 0 = 4*j + f - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*a - a. Let x = -5577 - -5577. Sort -4, -1, a, x in ascending order.\nAnswer: -4, -1, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*n + 2*f + 22, 2*f + 8 = -2*n. Suppose 0 = v - 4*q, 3*v - 18 = 2*v - 5*q. Let x = v + n. Solve -x*z + 3*z + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g*g*g**3))\/g))**(-4)\/(g\/(g**2\/g)*g)**(-48))**(-15) assuming g is positive.\nAnswer: g**(-360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 29, -8\/5, 0.62?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 356, 710, 1064, 1418?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 + 592*t - 21904 = 0.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -572 divided by -143\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1490248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*p = -8. Find the first derivative of -p + 5*n - 2*n + 0 wrt n.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -26 + 23. What is the highest common divisor of k and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -25*g**2 - 4. Let y(k) be the third derivative of -5*k**5\/12 - 5*k**3\/6 - 38*k**2. Calculate -5*j(i) + 4*y(i).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4921250 to the power of 1\/2, to the nearest integer?\nAnswer: 2218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 12*p = 0. What are the prime factors of 37\/((10\/(p + -5))\/(-12))?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -3*f**4\/20 + 11*f**3\/5 - 27*f**2\/5 + 120. Find j, given that q(j) = 0.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 655, 0, -5, 3 in descending order.\nAnswer: 655, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((20\/12)\/5). Suppose -6*t + t = -25, -2*u - 3*t + 7 = 0. Put -2, u, v in descending order.\nAnswer: v, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 14*d - 12. What is the closest to -4\/251 in -0.5, 2\/13, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*q + 122 = 6*g, -q + 71 = g. Solve -9*i + 57 = g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -200 - -202. Factor -14*o**3 - h*o**5 + 5*o**5 + o**5 - 4*o**4 + 6*o**3.\nAnswer: 4*o**3*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaha when four letters picked without replacement from {a: 3, i: 1, h: 4, g: 1, n: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 16 + 13 - 29.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4 - 39328*k**3 - 40632*k**2 + 12784192*k - 12704236 = 0?\nAnswer: -19, 1, 17, 9833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-51)\/6 - -1)*56\/(-12). Solve 3*o = -5*i - c, o + i = -o - 14 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 2*i - 2. Let u be 6 + (-6)\/3*-1. Let y = 14 - u. Suppose 2 = 7*b - y*b. Determine m(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 2.561\nAnswer: -0.10244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**2 + 155*j - 12. Let d be u(-26). Solve d*o - 8 = 62 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/(-105) - 124\/10. Let f be (4 - -1)*k\/(-13). Suppose f*i - 515 = -3*w, w - 4*w = -5*i + 485. Round i to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 0*k - k + (-9*k + 0*k + 2*k)*(0 - 4 + 2))*(-22 - k**3 + 22) in the form c + t*k**2 + r*k**4 + u*k**3 + p*k and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-50))\/(35\/(1400\/16))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**8\/3360 - x**7\/420 + x**6\/144 - x**5\/120 + x**3\/3 + 2. Let w(r) be the third derivative of i(r). What is p in w(p) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 344*w**2 + 2*w. Let a(d) = -2*d. What is c(a(s))?\nAnswer: 1376*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36440025.\nAnswer: 3, 5, 523, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2093 + -1557. What is the smallest common multiple of 134 and j?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -749, 2\/15, -3522 in decreasing order.\nAnswer: 4, 2\/15, -749, -3522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 124 = 62*x + 416 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*n**4 + 8\/3*n + 0*n**2 + 8\/3 - 2\/3*n**3.\nAnswer: -(n - 2)*(n + 2)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/22 - (4496\/(-44) + -3). Let s be ((-28)\/(-42))\/(1\/l). What is the greatest common divisor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 88844, 88846, 88848, 88850, 88852, 88854?\n\"Answer: 2*p + 88842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 151, 1\/3, 5, -0.51, 19\/4?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (10 + 2))\/(-1). Let g = 1384 - 1349. Calculate the highest common factor of g and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 265.7 - 267.7. Let p = -5.15 - -0.15. Which is the nearest to 5? (a) f (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*o = -18, 2714*c = 2709*c + 15*o - 70 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13044 and 72?\nAnswer: 78264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omvomqm. What is prob of picking 1 q, 2 o, and 1 m?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 834 = 832 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**2\/2 + 2. Calculate the lowest common multiple of q(-6) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3382*h - 16040*h + 999982 for h.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55972\/33 less than or equal to 1696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m - 28 = -7*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l - 150. Determine i(-14).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 2, -1427, 0.18, 4.05, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2600 and 398800.\nAnswer: 5184400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Let q(v) = -10742372*v**2 + 20. Determine q(b(y)).\nAnswer: -10742372*y**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 169*v**3 + 39*v**2 + 39*v + 39. Let x(d) = -17*d**3 - 4*d**2 - 4*d - 4. Calculate 4*a(g) + 39*x(g).\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84.4 + -84. What is the nearest to -3\/2 in u, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 1. Let d(w) = 3*w + 2. Give d(l) - 4*p(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1900*z + 27834 - 52418 = 49516 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 13*i - i + 4*i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((2*(2 + sqrt(68) + 0 + sqrt(68)))**2 + (sqrt(17) - sqrt(119)\/(sqrt(28)\/sqrt(4))) + sqrt(17) + (-5*(sqrt(17) - sqrt(425)))**2).\nAnswer: 260*sqrt(17) + 31616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11030720, -22061441, -33092162, -44122883?\nAnswer: -55153604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, m: 1, e: 1}. Give prob of picking 2 v, 1 m, and 1 e.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(1944)*-6)\/(-5*(sqrt(392) + (sqrt(392) - (sqrt(392) + (sqrt(392) - (sqrt(392) - sqrt(392)*1) - sqrt(392))))) - 2*sqrt(392)*-1).\nAnswer: 18*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 303430 and 10450?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from khhu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4599157233 a multiple of 627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 277.\nAnswer: -5\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Let g(h) = -2*h**2 + 2*h. Suppose -171 = z - 306. Let p(f) = -41*f - 48*f + z*f - 45*f. Determine r*g(m) - 4*p(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 9171*r**2 + 309213*r - 2620941.\nAnswer: 3*(r - 3023)*(r - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 481*d + 10840*d - 422905 - 935615 for d.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 5) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4913353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37688520 is divided by 21598?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1. Let i be -1*4*1 + -2. Let j(x) = 3 + 240*x - 176*x - 66*x. Determine i*h(q) + 2*j(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 = -15*m - 170 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2465.1 - -75.1. Let v = o + 2389.9999997858. Round v to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 greater than 3641\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*y - 86 = 0, 0 = -r - y + 4*y + 19. Let c(g) = 3*g**3 - 15*g**2 - 3. Let q be c(5). Sort q, -2, r, -5 in descending order.\nAnswer: r, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688203.\nAnswer: 3, 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, k: 13}. What is prob of picking 1 r and 3 k?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + -1.9. Let j = 8695\/12 - 724. Let l = 73\/84 - j. What is the nearest to -0.1 in l, -1, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 481 + 159. Let d(m) = 26*m + 35*m - i*m. Let f(v) = -29*v**2. Determine d(f(y)).\nAnswer: 87*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 i, and 1 z when four letters picked without replacement from izzcosis.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245 a factor of 409779300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*f**3 - 126*f**3 + 64*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/5, 2\/57679, -8?\nAnswer: 2\/57679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 7.7, -0.5, 2, -1702?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309753 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -31. Let r = 204 - 168. Suppose r = -6*g + 12*g. Calculate the least common multiple of z and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2 = 7, t + 11 = q. Calculate the remainder when 30 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*j**3 + 6*j**2 - 20*j\/7.\nAnswer: 2*j*(7*j + 2)*(28*j - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12057807 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-66)\/4)*(-16256)\/(-381). What is the highest common divisor of 132 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*j + 4540 + 1364 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(-7*a + 45 + 9*a - 3*a) as l*a + h and give h.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -6 - 4 - -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.1, 0.08, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*f**4 - a*f**3 + 9*a*f**2 + 54727*a + 614490*f**4 - 4*f**3 wrt f?\nAnswer: 24*a*f - 6*a + 14747760*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 380380*k**2 - 2*k - 52031570 wrt k.\nAnswer: 760760*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -1374\/152087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3897614 rounded to 3 decimal places?\nAnswer: 2.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155\/45 + 3 + -6)*(3 + 0)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, h: 2}. What is prob of sequence hhl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1297*y. Let z(m) = 2*m**2. Determine s(z(t)).\nAnswer: 2594*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3402, -3401, -3394, -3381?\nAnswer: -3362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x + 1697 - 641 = -1280 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (7 - 3))*2. Suppose i = -3 + g. Let l be i - (-3 + 6)\/(-3). Solve -3*n - 3*j + 8*j = 0, l*n + 4*j = -32 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**2 - 3*h + 10. Let j be m(4). What is the greatest common divisor of 115 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1310159 divided by 5623?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27799277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14704 != 14742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*c**2 + 0*c**3 + 36*c - 33*c**3 + 64 + 9*c**3 + 4*c**4 + 42*c - 54*c = 0. Calculate c.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4*l = -4 - 5, 0 = -3*n + l - 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15240746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 969902.18 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 22*j - 3*j + 10*j - 3*j - 5*j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aafiikabiabasiiaf. What is prob of sequence bafa?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*z + 79 = 0, d = -0*z + z + 17. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 - 10*r**2 + r - r - r. Let c be s(-1). Let o = 37 + c. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221221210 (base 3) to base 13.\nAnswer: -87c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -202302?\nAnswer: -202300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/6831 and 49\/22770?\nAnswer: 68310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24, -137, -418, -951, -1820, -3109, -4902, -7283?\n\"Answer: -14*t**3 - 15*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92137 is divided by 1644?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*m + 175 = -128*m. Let p(o) be the third derivative of 0*o + 0 - 7\/36*o**4 - 1\/36*o**6 + 1\/315*o**7 - 17*o**2 + 1\/10*o**m + 2\/9*o**3. Factor p(c).\nAnswer: 2*(c - 2)*(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21244)\/(-3760) - (0 - 9\/(-4)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 - 17) + 0 + -1 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + s + 1. Let z(w) = 3*w**2 - w + 2. Let x(a) = -4*m(a) + 6*z(a). Let f be x(-6). What is the second biggest value in 0, f, -1\/2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740 = 180*s + 6500 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffwfzfzfffzqfw. What is prob of sequence fw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 11:30 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 + 25*o**2 + 25. Let x(r) = -r**3 - 6*r**2 - 6. Suppose 0 = -5*h - 73 - 52. Give h*x(u) - 6*k(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 116\/(-160)*-2 - 1. Is 1 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -23. Let j(b) = -2*b**2 - 17*b - 4. Let i be j(g). Solve -2*x = -0*x - m + 6, -4*m = i*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 6*q + 11. Let g be j(-10). Let d = g + 428. What are the prime factors of d?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5326, -9083, -9708, -5629, 4726, 22929, 50552, 89167?\n\"Answer: 262*j**3 - 6*j**2 - 5573*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2333 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5972 is divided by 62?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**(-1\/4) assuming s is positive.\nAnswer: s**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 2\/71, 3.3, -1198?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111011 (base 2) in base 12?\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -314, -1, -0.1, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -1417 - 350. Suppose 14*h - u + 37 = 0. Factor 1\/9*z**5 - 2\/9*z**2 + 2\/9*z**h + 0 + 0*z - 1\/9*z**3.\nAnswer: z**2*(z - 1)*(z + 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6c0 (base 15) to base 14.\nAnswer: -7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -154078772*y**5 - 1027833*y - 116.\nAnswer: -3081575440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**2 - 8. Let u = -3 + 13. Let o(v) = 23 - u*v + 10*v + 11*v**2. Determine -17*m(s) - 6*o(s).\nAnswer: 2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/10 - (-76)\/95.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u - 2. Is u at least as big as 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g. Let m(t) = -234*t - 1882 - 348*t + 1882 - 360*t. Calculate m(n(c)).\nAnswer: 1884*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 33, 336, -4\/9, 4, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -397 + 396.9542. Round b to 3 decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p. Suppose p = 4*z + 126 - 982. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 1 s when three letters picked without replacement from llsqg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 1\/12*s**4 + 6*s**2 + 0 - s - 1\/20*s**5 + 1\/6*s**3. What is the units digit of o(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 978861 or 978863?\nAnswer: 978861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(2) - (sqrt(2) - sqrt(162)*-1)))**2.\nAnswer: 54*sqrt(2) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:17 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-10)*-2 + (13 - 231\/119)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*1820\/(-312)*(-16)\/10*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n + 4. Let d(o) = 3*o + 1. Give -7*d(k) + 2*h(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18 + 132\/108)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182399?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 43*v**2 + 227*v + 64. Is b(-65) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*f - 3*f + 5*m, 5*m + 7 = f. Let k = f + -13. Let j be 2 - k\/((-28)\/8 + 3). Solve 7*o - 4*o - 3 = j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/60 + q**4\/4 - 2*q**3\/3 + 15*q**2. Suppose -25*d = 5*d + 30. Let b(i) = -1. What is d*j(w) + 6*b(w)?\nAnswer: w**2 - 6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 546582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**2 + 954*p + 1896 = 0 for p.\nAnswer: -316, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 9*w**2 + 5. Let u be j(-9). Suppose -k + r + 34 = 0, 0*r - 10 = u*r. Let v = -17 - -65. Calculate the greatest common factor of v and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30353, -60699, -91045?\n\"Answer: -30346*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1544 - 1566.09. Let a = -22 - m. Let o = -1.61 - a. What is o rounded to one decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 18 - 1 + l**2 + 30. Suppose 2*q = -2*d + 2, 5*q = 2*d + d - 3. Is i(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68697?\nAnswer: 3, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1417609967?\nAnswer: 7541, 187987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, 68, 3, 1.\nAnswer: -5, -4, -3, 1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6401185 is divided by 1342.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 849740270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t - 81. Let g be n(-14). Let a be (-3 + 2)*(-10 - g). Let j(q) = 36*q**2 - q - 1. Give j(a).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16883*j**2 - 12*j - 507 wrt j.\nAnswer: 33766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439992 is divided by 87994?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9 - 11*k + 35*k - 4 + 7 - 20*k. Give y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - 0 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52282563 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9 + -6)*7590\/9. Suppose a = 9*n - 1268. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 + 80 - 22*q**3.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/2 - 27989*j + 55979\/2 = 0. Calculate j.\nAnswer: -55979, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {p: 4, b: 1, j: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 133301 (base 5) in base 11?\nAnswer: 4106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33597 and 33597.\nAnswer: 33597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - l**2 + 3*l + 3. Let a be q(-3). Suppose 0 = -3*k + 2 + 19. Let n = a + k. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 9*q + 38 to the form b*q + n and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 49680.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Let t = -53009 - -53008. What is the smallest value in -0.6, w, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1111.3 and -2.\nAnswer: 2222.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10210341 (base 6) to base 9\nAnswer: -502257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*g + 1067 = 8267. Is 25 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2 = -10. Let y be (f\/(-4))\/((-1)\/26)*1. Suppose -y = -w + 5. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5580025 and -52\/165?\nAnswer: 16740075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 13*c - 533. What is d(-25)?\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12383 and 20923.\nAnswer: 606767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(156)*-1*-4*3)\/(3*(sqrt(432) - 2*sqrt(432)) + (sqrt(432) - (sqrt(432) + -2*sqrt(432) - sqrt(432))*-6 - sqrt(432) - sqrt(432) - sqrt(432))))**2.\nAnswer: 52\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-6880)\/(-150) + 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72743743 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: Collect the terms in 2321*y**2 + 5371*y**2 + 17836*y**2.\nAnswer: 25528*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -151710, -151713, -151716, -151719, -151722, -151725?\n\"Answer: -3*v - 151707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2228, 8209, 17924, 31373, 48556?\n\"Answer: 1867*j**2 + 380*j - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, f: 10, i: 2, m: 1}. What is prob of sequence mmi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 45527265.28901 + -0.16?\nAnswer: 45527265.12901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -51\/11 (b) 2 (c) 139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2. Let w(t) = 84*t**2 + 49*t - 49. Suppose 24 = -y - 5*y. Let h(v) = 7*v**2 + 4*v - 4. Let l(a) = y*w(a) + 49*h(a). What is l(u(g))?\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 794, 1615, 2436?\nAnswer: 3257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -1\/4*x**4 + 0*x + 2 - 1\/120*x**6 - 23*x**2 + 0*x**3 - 1\/12*x**5. Factor d(u).\nAnswer: -u*(u + 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 2. Let i = -16 + 8. Let q(h) = 2*h - 6. Give i*d(o) + 3*q(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and 83045007.\nAnswer: 83045006.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -1023?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*x + 17, -3*x - 2*v = -2*x + 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236955 is divided by 983.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1729 is divided by 30?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2433906, 4867827, 7301748, 9735669?\n\"Answer: 2433921*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 + 76 - 8*l**2 - 39 - 2*l**3 - 37.\nAnswer: -2*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.444387 nanoseconds?\nAnswer: 0.000000005444387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 398.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - c + 4 = 0, -2*c - 2 + 7 = -5*z. Let g = -3 + 3.5. Sort g, z, 1 in increasing order.\nAnswer: z, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -473994.7 to the nearest 1000.\nAnswer: -474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -473.9 - -449. Let p = -25 - x. Put p, -1\/5, -2\/5 in ascending order.\nAnswer: -2\/5, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -10.01. Let o = 32.29 + -32. Let d = r + o. Which is the third biggest value? (a) 1\/10 (b) -2\/11 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, r: 2, e: 2, p: 1}. Give prob of picking 1 e and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*t + 28, 3*m + 3*t - 3 = 18. Let z(k) = 100*k**2 - k - 2. Let h be z(-1). What is the greatest common factor of m and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/2681420 and 101\/350?\nAnswer: 13407100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 7\/2*n**4 + 4 + 0*n**2 + 0*n**3 - 29*n. What is the first derivative of f(r) wrt r?\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = 4*d - 3*d, 5*d + 4*p - 32 = 0. Solve 0*t + d = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m - 13*m + 91*m - 40*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 4*c**2 + 0*c - 3*c**2 - 8*c**2 + 3 - 2*c. Let h be j(-4). Let x = 103 + h. Solve 2*t = -4*o - 12, -2*t - x*t - 5*o = 9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/15 + 726*p**3\/5 + 290*p**2 + 2174*p\/15 = 0.\nAnswer: -1087, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 9*c - 5*c - 5*c to q*c + i and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3165 + -41109\/13. Suppose 0 = 5*a + 2*h + 40, 4*h - 3*h - 25 = 2*a. Let q be a\/2*4\/(-10). Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**2\/2 - 11*n - 34. Calculate t(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/119929?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -26. Let s(w) = w**2 - 6*w - 8. Let v be s(d). Let l = 0 + v. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 243*o**2 + 57*o - 91. What is the ten thousands digit of t(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22051, 88184, 198397, 352684, 551039, 793456, 1079929?\nAnswer: 1410452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-1\/4)*i)))**(-7\/6)\/((i**0*i)\/i)**(4\/15))\/((i\/(i**(-2\/7)*i)*i)\/(i*i**5\/i)*i*i**(-1\/11)*(i*i**(1\/12)\/i)\/i) assuming i is positive.\nAnswer: i**(5261\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a day in minutes?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 57 + 40c?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n. Let u be l(-1). Let 0 + 0*f + 2\/3*f**u = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 30*u**2 - 3*u - 3. Does 46 divide b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 69588.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25199, -25217, -25243, -25277, -25319, -25369?\n\"Answer: -4*j**2 - 6*j - 25189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = 3*g. Suppose 4*i - 6 = 3*i + 2*j, -5*j - 45 = -5*i. Solve -i = -g*h - h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 46 + 26 = 0. Let d(i) = 2*i**2 - 8*i - 6. Let z be d(6). Is v bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000759697 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 3*w - 3*w)*(-2*w + w + 0*w) + 6*w - 6*w - w**2 + (0 - 3 + 5)*(-2*w**2 - 3*w**2 + 3*w**2).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*z + 24 = 0, -5*q + 20*z = 17*z - 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -13*m + 1. Let r be c(1). Let o be 6\/r + (-381)\/(-4). Let u = 1939\/20 - o. Calculate the common denominator of u and 103\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, -8, -3 in descending order.\nAnswer: 11, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Let i(m) be the first derivative of -m**2\/2 + 1. Calculate i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) -3\/4 (c) -155.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = 0. Suppose x = -17*l + 19*l - 24. What is the units digit of ((-680)\/6)\/(l\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-187)\/(-68) - -7) + (8 - 19)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 25 = -5*v, 0 = v - y - 0 + 1. Suppose 0 = 2*k - 14 - 6. Let a be 86\/(-4)*v*k. Round a to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41535 divided by -117\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 84*y + 2. Let c be f(42). Solve 2*t - 4 = c*v, 9 + 1 = v + 3*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*l**4 - 3464*l**2 - 5077*l**3 + 2548*l**3 + 2482*l**3 wrt l?\nAnswer: 192*l - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8829770567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose 0 = 4*n - 4*d - 92 + 64, 2*n + 8*d = -6. Put y, -1, n in decreasing order.\nAnswer: n, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 d when three letters picked without replacement from tdtwgtndwggtwgnttgwt.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (50\/(-4))\/((-6)\/(-288)). What is c rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 121 + 51 = 0. Let r be 12\/(-720)*a*(-102)\/8. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65\/(-26)*(-4)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-18)*2 + ((-10419400)\/2124)\/(-50)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -11. Suppose -3*b = -5*j + 2*b - w, 0 = -3*b + 6. What is the third derivative of -6*p**2 + 3*p**2 + 5*p**6 + j*p**2 wrt p?\nAnswer: 600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -2*y**7\/21 - y**3 + 2*y. Find the second derivative of t(u) wrt u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 19*l**7\/105 + l**6\/60 + 19*l**5\/60 - 10*l**2. Find the third derivative of b(g) wrt g.\nAnswer: 912*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -43. Let v = 162 + d. Calculate the greatest common factor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100102 (base 3) in base 13?\nAnswer: -5a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23\/115 + ((-1)\/5 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from wdyddeydyeydddd.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-8))\/1)\/((-3650)\/(-8760)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**4\/12 - 5*k**3\/6 - k**2 - 2*k + 7. What is s(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-21))\/(3\/18*-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2658665675 to the nearest integer?\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/8*1 - (-1177875)\/50 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 8*h - 4. Let c = -17 + 4. Let l be c + 9 + 8\/2. Suppose l = z - 3*z - 6. Let g(u) = -7*u + 3. What is z*s(n) - 4*g(n)?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71529 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5, -2, 40, -31, -4 in ascending order.\nAnswer: -31, -5, -4, -2, 12, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2. Let z(x) be the first derivative of -9*x**2\/2 - 4*x - 73. Determine v(z(c)).\nAnswer: 162*c**2 + 144*c + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-185)\/65 - 2) + (-6)\/39. What is the third smallest value in 2, 12.4, q?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 196 = 70. Suppose 5*o - 10 = -z + 6*z, 4*z = 2*o - 6. Suppose -u + o + 24 = -3*v, -12 = -4*v. What is the remainder when y is divided by u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 956 - 878. Calculate the greatest common divisor of o and 1794.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 89 = 29*f. Let p be 680\/102*f\/(-8). What is the second biggest value in -2\/3, 9\/2, 5, p?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19113059, 19113071, 19113091, 19113119, 19113155?\nAnswer: 19113199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*d - 63*d - 17 + 2*d**2 - 5 to the form z*d + v*d**2 + j and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -3)\/(6\/4). What is the first derivative of -4 - 2*g**3 - 3*g**3 + t wrt g?\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/((-48)\/45)*(-152)\/(-95)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 72851*w\/3 + 291388\/3.\nAnswer: (w + 4)*(w + 72847)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36875 + -92876. Let p be (-1)\/(-2) + y\/2. What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/6 + (-7)\/((-42)\/27). Suppose -1 = 2*w + p*a - 2, 5 = 3*w + 4*a. Solve 3*r - w = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219746 is divided by 12201?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2025 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -106*(-105)\/1035090*6*1\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u + 8*u + 7 = 3*i, -1 = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -8*b**2 - 7*b - 6. Let y = 155 + -138. Let u(q) = -12 + 5*q - 1 - 20*q - y*q**2. Determine -13*m(z) + 6*u(z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**3 - 181*i**2 - 35*i + 48. Let d be g(-36). Solve -4*h + 4 = -d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1477 - 1477. Let z(y) be the first derivative of y**4\/4 + y**2\/2 - 10*y - 1. Determine z(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/13024 and 45\/25496768?\nAnswer: 943380416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 v when four letters picked without replacement from {b: 9, v: 1, j: 4}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -2 (c) -2\/21 (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/269527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -342\/7. Let x(n) = -16 + 3*n - 5*n + n. Let i be x(-15). Is i greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -11*n**5\/2 - 274*n**3\/3 - 95*n + 3. What is the second derivative of y(h) wrt h?\nAnswer: -660*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -556030.\nAnswer: -1\/111206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 86152145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**2 - 1429*q + 5737. What is d(4)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -959\/5 - -191. Which is the second biggest value? (a) 4\/3 (b) 1\/6 (c) -1\/4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1568542, 3137393, 4706234, 6275059, 7843862?\nAnswer: 9412637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0)*4\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-305)\/(-3) - (-7)\/((-63)\/6). Let z = d - 77. What is the greatest common factor of z and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462*m + 46*m + 110*m)*(1 - m - 1)*(4*m**2 - 4*m**2 - 4*m**3).\nAnswer: -1224*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5021 + 51?\nAnswer: -4530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14 - -18 - (-2)\/2. Let a be (6\/4)\/((-6)\/(-16)). Suppose y + 4 - 11 = -a*v, 0 = -3*v - y + w. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23885029876 + -23885224495.800115. Let o = z + 194616. Let x = -3.8 - o. What is x rounded to 5 decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39838 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56148 - 23987. Is 142 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24189, -24170, -24155, -24144, -24137, -24134?\nAnswer: -24135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-4) + 7524\/(-78). Let v = 64\/91 - 7204\/91. Let c = x - v. Calculate the common denominator of c and -31\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7231302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 1012332330?\nAnswer: 1012333012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 202*f**2 + 398*f + 688. Calculate h(200).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27.84964t?\nAnswer: 27849640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-5))\/((-20)\/50). Let u be 75\/10 - b\/4. Solve -2*r - 1 + 3 = -3*d, -2*d - 2*r = u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 36875.04 days?\nAnswer: 3186003456000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y**3 + 2*y**2 - 1. Let n be r(-1). Let i be (-11)\/99 - (-19)\/n. Solve i*q + 3*t = 2*t - 6, 0 = -q - t - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 843338 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 332, -2\/51, -0.2, -5, 0.4, -8?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.48 + 4.52. What is the closest to 1 in p, 0.5, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2*(-7)\/(-14). Suppose -3*r - u + 22 = s, -13 = -3*r + u + 1. What is the remainder when 10 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29299623?\nAnswer: 3, 823, 11867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 20*q + 17. Let k(p) = -23*p - 17. Give 3*k(n) + 4*o(n).\nAnswer: 11*n + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1366 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thvjv. What is prob of sequence tj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/600 and -31\/231700.\nAnswer: 1390200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ebfd + -34?\nAnswer: -3ec31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzqqsqzzilzzqi. Give prob of picking 1 i and 1 l.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s - 3*s + 107181*s**2 - 4*s - 4*s.\nAnswer: 107181*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22385 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011111000 + 0?\nAnswer: 100011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-7 - -16) - (5 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d - 88. Calculate the smallest common multiple of 18 and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-10))\/((-11)\/(-55))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -25. Calculate the least common multiple of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(4\/(-25)) + -1. Let z = 5254\/981 + 46\/109. Find the common denominator of z and 3\/(-12)*t\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let v(i) = -63*i**2. Determine v(l(f)).\nAnswer: -63*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -25*u**4 + 56*u**2 + 3*u - 3. Let y(w) = w**4 - w**3 + w**2 - w + 1. Let n(a) = -t(a) - 3*y(a). Find the third derivative of n(o) wrt o.\nAnswer: 528*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.067261 and -27?\nAnswer: -1.816047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 13. Let j(b) = b**2 - 12*b + 2. Let h be j(11). Let n be q(h). Calculate the greatest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234092510 divided by -863810?\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5393 + 5390. Sort b, -5, 33, 0.4 in decreasing order.\nAnswer: 33, 0.4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:27 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 131*f**2 - 206*f - 5. Let i(r) = -132*r**2 + 205*r + 4. Let y(g) = -5*i(g) - 4*m(g). Find the second derivative of y(n) wrt n.\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 17*r - 20. Let n be ((-1)\/2)\/((-6)\/48) + -14. Let y(u) = 35*u - 41. Let h(g) = n*j(g) + 6*y(g). What is the derivative of h(k) wrt k?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203275642 a multiple of 7683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 0*l**5 + 0*l**2 + 0*l + 0*l**6 + 9 + 0*l**4 + 8\/3*l**3 - 5\/7*l**7. What is the third derivative of n(b) wrt b?\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*(57 + 0). Let s = -23 - q. List the prime factors of 158 - 4*s\/(-16).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.049421 centuries to millennia.\nAnswer: 0.0049421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 1.62.\nAnswer: -0.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.3735984 hours?\nAnswer: 1344954.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26128 and 1656.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.541, 4, -2\/9, -5\/4, 0, 0.5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-23)\/((-92)\/(-16)). Let b(a) = -a**3 + 6*a**2 + 6*a + 10. Let k be b(7). Put -43, k, d in decreasing order.\nAnswer: k, d, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.099 (b) 3\/59 (c) 0.5 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 3*g**2 - 12*g**2 + 0*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, q: 5, j: 1}. Give prob of picking 3 q.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let m(z) = 994*z. Determine m(g(w)).\nAnswer: 1988*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/11)\/b**(1\/8))\/(b**(-4)*(b\/b**(1\/8))\/b) assuming b is positive.\nAnswer: b**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/4 at most as big as 2271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 + 2*c + 4. Let l = 21 - 17. Let d be j(l). Suppose -q + 25 = 4*y, 2*q + 3*y = 2 + d. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 979388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 171358930 to the nearest 100000.\nAnswer: 171400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 11730535*t - 137605451386225\/2.\nAnswer: -(t - 11730535)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15284334?\nAnswer: 2, 3, 13, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000832 rounded to five dps?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -1. Let x = i - 5. Suppose x = 27*j - 22*j. Solve 0 = -r - c - 1, 5*r - j = 4*c + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3998076, -7996147, -11994228, -15992319, -19990420, -23988531?\nAnswer: -27986652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 3*s - 6. Let n(u) = -u - 1. Suppose 3*t = -v + 11, -3*v = -t - 2*t + 3. Let h be v\/8 - (-57)\/12. Give h*n(k) - r(k).\nAnswer: -k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -9*u**3 - 210*u**2 + 369*u - 150 = 0.\nAnswer: -25, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -1, 5, 14, 7 in descending order.\nAnswer: 14, 7, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 111. Suppose 164 = 4*k + 4*o, -5*o - 47 = -k - 6. Let s = k - m. Solve 0 = -s*w + w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n = 60*n - 8. Sort n, 113, -2 in descending order.\nAnswer: 113, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15970.1 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000022286 to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*s + 29 = 8*w, -w = -5*s - 57. Find the third derivative of -18*x**2 - w*x**2 - 92*x**3 + 65*x**3 wrt x.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2 + 10*i - 7*i + i**3 - 5*i to the form n*i**3 + u + p*i**2 + l*i and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -38465, 143 in ascending order.\nAnswer: -38465, -5, 3, 143","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**2 + 23408*t + 32886348 = 0.\nAnswer: -3509, -2343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + -2 - (1980 + -1909)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4643208 + -10725810311\/2310. Calculate the common denominator of 71\/60 and t.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -220 - -13a093?\nAnswer: 139b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 277043 and 1688.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28.005 and -2.\nAnswer: 56.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, t: 1, s: 1, e: 1, y: 2}. What is prob of sequence yty?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.1, 9, -0.2.\nAnswer: -0.2, 0, 0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8011.5524 rounded to the nearest 100?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41078, 82096, 123114?\nAnswer: 164132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101406*l**2 + 181*l - 37 wrt l.\nAnswer: -202812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 0 + 3)*(2*x + 3 - 3).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32ba (base 13) in base 4?\nAnswer: -1232222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 269, 524, 777, 1028?\nAnswer: 1277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/787053 and 9\/10756391?\nAnswer: 32269173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7734 divided by -2578\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 13*p**2 + 19*p + 5. What is the remainder when 225 is divided by v(-11)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 0 - 1 - 20*g**2 + 1 + 22*g**2. Let j(s) = 66*s**2. Calculate j(i(h)).\nAnswer: 264*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 - (17 - 73) - 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 148*g = -172*g + 4844. Let p(y) be the first derivative of 1\/3*y**3 + 0*y + g + 0*y**2. Let v(b) = 21*b**2. Determine p(v(l)).\nAnswer: 441*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6606)\/(-1468)*(-4)\/(-54)*93*(-1)\/1.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257*n - 587 - 301 = 35*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(17\/5)*p*p**(-1\/11)*(p\/(p*p\/p**(-4)))**17 assuming p is positive.\nAnswer: p**(-4438\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -11509411.\nAnswer: 12660352.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - 3*j + 0*j + (-j - 3 + 3)*(0 + 0 - 2) + 2 + 2*j - 2 - 5 + 2*j + 5)*((3 + 2 - 3)*(-8*j + j + j) + 0*j - 2*j + 3*j).\nAnswer: -88*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54664596 and 37746.\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1406771 - -6?\nAnswer: 1406777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*y**3 + 42816*y**2 + 59919*y + 17118.\nAnswer: 3*(y + 1)*(y + 2853)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 274\/462805 + 1\/11334. Let v(d) be the third derivative of -f*d**7 + 0*d + 0*d**4 + 5*d**2 + 0 + 0*d**5 + 1\/420*d**6 + 0*d**3. Find r such that v(r) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247525 is divided by 1110.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7905218ml to litres.\nAnswer: 0.0007905218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -7. Let p be 0 + 1 + (r - 0). Suppose 16 = -4*z, -6*q + q = z + 4. Solve n + 4*a - 22 = q, -p*a - a + 24 = 2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z*z**(-1\/2)*z**(3\/7)*z**9\/(z\/(z**16\/z)) assuming z is positive.\nAnswer: z**(363\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -177*w**2 - 61*w. Let t(m) = -3*m**2. Determine p(t(k)).\nAnswer: -1593*k**4 + 183*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (74\/(-111)*-9)\/(78\/4). Factor 0 + 0*f - c*f**2 + 2\/13*f**4 - 2\/13*f**3.\nAnswer: 2*f**2*(f - 2)*(f + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0*d**5 + 1\/300*d**6 + 0*d**3 + 0 + 0*d + 3*d**2 + 0*d**4. Factor i(k).\nAnswer: 2*k**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 417*g + 413*g = 28664, 2*g = -3*z + 21483. Is 34 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-29)\/(w**30*w)*(w**(-34)*w)**(-32) assuming w is positive.\nAnswer: w**996","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9170.25165 microseconds in weeks?\nAnswer: 0.000000015162453125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -209*v - 3767. What is g(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 977 - 288. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2\/(l\/l**(-28)) assuming l is positive.\nAnswer: l**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**7\/210 + y**5\/60 + 3*y**2\/2 - 3*y. Let x(h) be the first derivative of c(h). Find the third derivative of x(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393*p**2 - 78*p**2 - 308*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3+-1.25806624623\nAnswer: -4.25806624623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkrrr. What is prob of picking 2 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + 8*x**2 + 5*x + 5. Let z(q) = 4*q**3 + 8*q**2 + 6*q + 6. Calculate -6*m(c) + 5*z(c).\nAnswer: 2*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000192 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73 - 366\/5. Suppose 7*q = -4*f + 4*q - 21, -27 = 5*f + 3*q. Let w = 7 - 7.3. Which is the second smallest value? (a) f (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 2*h + 12*x, 5*h = 37879*x - 37874*x - 165 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000238739 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4320 and 585.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 1 + 971. Solve g = -2*y + 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700) + 4 + (sqrt(448))**2.\nAnswer: -10*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 116 = 20. Suppose 7*k = 2*k + 60. Suppose -k = -r + 6. What is the remainder when i is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {k: 1, c: 2, f: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13147948?\nAnswer: 2, 11, 298817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rqv when three letters picked without replacement from qrpnuvr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 857*t**7\/42 + 27*t**3\/2 - 5*t**2\/2 - 1202*t. What is the second derivative of p(l) wrt l?\nAnswer: 17140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(112) - 1*sqrt(112)))\/(6*sqrt(18) + sqrt(2)))\/(-3*sqrt(200)*1*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f + 650 + 5*f**3 - 680 - 33*f - 2*f**3 + 63*f.\nAnswer: 3*f**3 - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59193204 and 33824688?\nAnswer: 236772816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((19 - 15)\/(-12) - (-894)\/(-18)) + 12?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 7. Let y = 33 - 37. Which is the second smallest value? (a) y (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (((sqrt(171) - (sqrt(171) + (sqrt(171) - -1*sqrt(171))))*-4)\/sqrt(9))**2 + ((sqrt(152) + sqrt(152)*-2)\/sqrt(8) - (0 + sqrt(931)))) + -2)*-6.\nAnswer: -288*sqrt(19) + 43788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:28 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5 = -5*z, 4*z = 5*l + 4 - 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5827 take away -0.02?\nAnswer: -0.5627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 48*l**2 - 5*l + 11. Let a(b) = -4*b**2 + b - 2. Let d(p) = 5*a(p) + u(p). Determine d(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15)**(-6) assuming r is positive.\nAnswer: r**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 4:12 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {e: 7, r: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 1:26 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.3 - 39.164. Let x = 0.136 - o. What is the third smallest value in x, 0.4, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -2) + 4 + 14 - (-11 + -10).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51264799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -117056000\/69 or -1696463?\nAnswer: -117056000\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/((-2)\/(-1)) + 2. Suppose i = s + s. Calculate the smallest common multiple of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58827196 divided by -29413598?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-9))\/(5296\/19860)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178968.\nAnswer: 2, 7, 37, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 11)*(4 + 33\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 + -174. Which is the closest to i? (a) 5 (b) -0.4 (c) -4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5 - -65) - (-33)\/44\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 755203?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 90*q**5 - 2*q**3*r + 100*q**2*r wrt q.\nAnswer: 5400*q**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -4, 15, 4.8, -10.1 in increasing order.\nAnswer: -10.1, -4, -0.5, 4.8, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 81*n - 26 = 73*n - 70, 0 = -5*n - 15 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52794\/(-203) + (14\/(-29))\/(-7). Round p to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -2) + (-3 - -6). What is the first derivative of g*z - 9 + 2 + 9*z - 2*z wrt z?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17203922 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -43*x**4 + 12*x**3 + 11*x - 30. Let p(z) = 129*z**4 - 38*z**3 - 35*z + 90. Let y(f) = -19*o(f) - 6*p(f). Find the second derivative of y(l) wrt l.\nAnswer: 516*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 304*p**5 - 15*p**4 + 7*p**3 - 107*p - 3213 wrt p.\nAnswer: 6080*p**3 - 180*p**2 + 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -296. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1117*a**3 - 617*a**2 - 4923732*a wrt a?\nAnswer: 6702*a - 1234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3358, 3350, 3338, 3322, 3302, 3278, 3250?\nAnswer: 3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -18\/2425943?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a + 1. Let b be o(1). Let m be ((-168)\/(-16) + -8)*b*2. Solve 5*y + 3*g - 40 = 0, -4*g + m = 4*y - g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -475*d**2 + 4*d**3 - 1485 + 5*d**3 - 4*d**3 - 3885*d + 1920*d.\nAnswer: 5*(d - 99)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1964 and 1964 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1123685 divided by 5.\nAnswer: -224737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**4 + o**2 - o - 1. Let v(g) = 7*g**4 - 10*g**3 + 32*g**2 - 34*g + 17. Let u(w) = 4*f(w) + v(w). Solve u(t) = 0 for t.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3529207 is divided by 2367?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, 1 in ascending order.\nAnswer: 1, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + 0*k - k**3 + (5*k - 2*k - k)*(k**2 + k**2 - k**2) + 6*k**3 - 2*k**3 - 3*k**3 - 25*k - 2*k + 3*k**3 - 4*k**3.\nAnswer: k**3 - 27*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5\/8 - 61\/72. Let r be (2 - -2) + 4\/(-2). Suppose l = r*l - 1. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -49188.\nAnswer: 19\/16396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1293 and -6.\nAnswer: 7758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8321192820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 + 4*t + 2. Suppose 0*d + 3*d = -27. Let m(v) = -v**2 - 8*v + 7. Let i be m(d). List the prime factors of b(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + m + 10. Calculate the least common multiple of b(3) and 29.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/98*-14 - (-10)\/(-21).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 17*h**2 - 1. Let c be x(-1). Let w = -8 + c. What is the least common multiple of 4 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**4 + 3*y**3 - 302*y**2 - 12*y - 131217000 wrt y.\nAnswer: -4*y**3 + 9*y**2 - 604*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -7*t**4\/24 + t**3\/3 + 11*t**2\/2 + 11*t. Let l(o) be the first derivative of g(o). What is the units digit of l(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiks when four letters picked without replacement from {s: 8, i: 2, q: 1, k: 5}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 25 = n. Suppose -2*w - 4*s + 6 = 0, 5*w + 56*s - 53*s + 27 = 0. Put -4, w, n in increasing order.\nAnswer: w, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 3*u + 16. Let j = u + 6. Solve -z - j = -9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2596965 and 7035?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174455.\nAnswer: 3, 5, 26099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1476 - -1518. Solve 43*t = y*t + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 346*a - 359*a. Let w be 4\/(40\/14) + -2. What is the nearest to 0 in w, a, -1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*l - l = 0. Let x(j) be the first derivative of 2\/3*j**3 - 4 + l*j**2 + 0*j. Let c(k) = k. Determine x(c(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-91*g**2 - 11 - 24 + 38)*(-3 + 5 - 7).\nAnswer: 455*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 27*m - 100. What is v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 10 = -z, -r + 3*z = -2*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:30 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28242*m**4 + 48576*m**2?\nAnswer: -677808*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 6. What is the second biggest value in 3, -0.4, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = 3*y. Suppose -4 = -k - y. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 5*s + 20 + 10, 0 = 3*s + 6. Let y = k + 0. Let m(j) = -j - 4. Calculate m(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/60 + 3)\/2*(-21 + 23).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 24 = 5*f, 0 = 3*h + 4*f + 7 + 3. Let d(m) = -12 + 3*m**h + 4 + 8. Let v(q) = -q. Calculate v(d(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/70 - (-83)\/(-14)*54. Let r = -212 - g. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from edqoppppop?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4.016098, 3 in descending order.\nAnswer: 3, -1, -4.016098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1554886 + 3438286. What is a rounded to the nearest 10000?\nAnswer: 1880000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -8. Let i = c - -4. Suppose -5 = 5*d, o + 3*o - i = -3*d. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2586*d + 182 = 2560*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 95*u**4\/4 + 2*u**3\/3 + 58*u**2. What is the tens digit of k(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*1*85\/(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 26 = -18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 4*y = 4. Let h(o) = y - o - 1. Let p(q) = -3*q**2 - 5*q - 5. Let n(l) = -l**2 - 2*l - 2. Let z(c) = 5*n(c) - 2*p(c). What is h(z(x))?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -146695, 212.\nAnswer: -146695, 3, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 20, -155156.\nAnswer: -155156, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6292800 to the nearest 100000.\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/113)\/((r\/(r*r\/(r**(1\/41)\/r)))\/r*r) assuming r is positive.\nAnswer: r**(9235\/4633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1261 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 5*u - 199 = 0, -3*v + 120*u - 116*u = 36 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(468) - (2 + (-1*sqrt(468) - sqrt(468)))) + 1)*-6.\nAnswer: -108*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*h - 9*h - 4*h)*(-3 + 1 - 1) - h + 0*h + 2*h - 1.\nAnswer: -8*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22184, -44378, -66572, -88766, -110960?\nAnswer: -133154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 46*s + 18. Determine g(-45).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 13*l + 8 - 8*l + 5*l. Let i be p(4). Is 7715*(i\/15 + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61, 190, 467, 964, 1753?\n\"Answer: 12*x**3 + 2*x**2 + 39*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 2, -6 in ascending order.\nAnswer: -6, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-6 + (-3540)\/(-234)) - (-3)\/(-9).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -15. Suppose 3*y + 20 = x*y. What is the third derivative of -u**2 + 10*u**2 + 3*u**5 - u**5 - 5*u**y wrt u?\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344784 greater than 69792612\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10\/4*((-2912)\/(-390) + 28\/21) and 330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161696273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-209) + 322\/(-190) + 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x + 22. Let r be k(3). Let p = -9 + 9. Suppose p = 3*w + 9 + 6. Sort -2, w, r in decreasing order.\nAnswer: r, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32964896.\nAnswer: 2, 1030153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 421 + -415. Calculate the greatest common factor of 2886 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-14)*f\/((f\/f**(-4\/11))\/f))**(-28) assuming f is positive.\nAnswer: f**(3808\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.057 and -579034.\nAnswer: 33004.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 172847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5510 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-20))*q**(15\/2))\/((q**8*q)\/q)**(4\/9))**(-34) assuming q is positive.\nAnswer: q**(4913\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1, -0.06, -3, -2\/3.\nAnswer: -3, -1, -2\/3, -1\/8, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (13 - 8) - 78.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -6*c**4\/7 - 36764286*c**3\/7 - 882340560*c**2\/7 - 7058718336*c\/7 - 18823240704\/7 = 0.\nAnswer: -6127357, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 562205\/(-32126)*-4*(-16)\/(-14).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/144 and (118\/12 - 0)\/((-54)\/81).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 5, j: 1, b: 3, z: 5, s: 1}. Give prob of sequence bspl.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = b + 20, 5*b - 10 = 10*v - 8*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3873 = 5*a - 6*a + 3*t, a + t - 3857 = 0. Does 39 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 193 or 200?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*b = -116*b - 50. Let t be (b\/6)\/(-3 + (-37)\/(-12)). Solve -2*g + 3*l + 4 = 2*l, g + 4*l - t = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1145 + 1146. What is the closest to y in -5, -4, 1\/9, 18?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20, 46, 108, 224, 412, 690?\n\"Answer: 3*p**3 + 5*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454214343 (base 6) to base 5.\nAnswer: 4112310430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2457 and 115\/2391714?\nAnswer: 16741998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10 - 9 + h**3 + 3*h**2 + 21 - 4*h. Let w be d(-4). Let l be ((-1)\/2)\/((-1)\/(-4)). Sort l, w, -7 in descending order.\nAnswer: w, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8619 - 0.06.\nAnswer: -6.9219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/14)\/n*n)**(-4\/27) assuming n is positive.\nAnswer: n**(-2\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.378 + 0.078. Let h = 15.98224 - 4.68161. Let f = h + p. What is f rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -572948 (base 13) to base 14.\nAnswer: -3b983d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 35 - 31) + (1 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-5)*(-1 - 11)\/((-4032)\/2520)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 272320 divided by -40?\nAnswer: -6808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 8 = 0. Suppose k + 0 = l. Let d = 3.5 + -3. Which is the closest to 1? (a) l (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8))\/(76908\/24128)\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.05 - -12.1. Let t = -35 + 34.77. Let u = 0.07 - t. Which is the closest to -1? (a) s (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**3 + 48*v**2 = 0?\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 37 = -182. Let p = s + -14. What is the greatest common factor of 75 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(4\/7))\/n**2*(n\/((((n*n\/(((n*n**(-1\/7))\/n)\/n))\/n)\/n)\/n))**(-3\/13) assuming n is positive.\nAnswer: n**(-23\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 13*w**6\/40 + w**5\/30 - w**3\/6 + 3*w**2. Is 20 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232*m**3 + m**2 + 11593*m + 6823516 wrt m.\nAnswer: -696*m**2 + 2*m + 11593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {g: 3, b: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r - 2. Let f(v) = -9*v - 10. Determine -3*f(m) + 7*l(m).\nAnswer: -m + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84\/13, -3\/7, 2\/3, 3.7, 0.4 in decreasing order.\nAnswer: 3.7, 2\/3, 0.4, -3\/7, -84\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*w**5 - 38*w - 1 wrt w?\nAnswer: -2640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -318 + 371. Suppose -4 = 2*f, -f - u = -3*g - 3*f. What is the remainder when 52 is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24.4 - -31. Round o to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 329*c**2 + c. Let x be a(1). Suppose 30*l = 36*l - x. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 280795\/16 + -17556. Let b be (-11510)\/(-17268) + (-4)\/6. Let w = 79870\/47487 + b. Calculate the common denominator of d and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170867297 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**5 + 309448*m**4 - 2475424*m**3 + 7426112*m**2 - 9901376*m + 4950656.\nAnswer: -4*(m - 77354)*(m - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*q**2*x**3 + 12*q**2 + 7336*q*x**3 - 16*q*x wrt q.\nAnswer: -114*x**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6*x*x\/x**(2\/3))\/(x**(-3)*x**(-1\/2)))**(2\/9) assuming x is positive.\nAnswer: x**(65\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 29407800 to the nearest 100000.\nAnswer: 29400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*q = -10595, 2*q - 4*q = -w + 2657. Let f = w - -288. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 27504*f**2 - 247227*f - 604494.\nAnswer: -3*(f - 9159)*(f - 11)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 18*a**2 - 30*a + 1875. Calculate f(-15).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3 + 736507*i**2 + 6460987*i wrt i?\nAnswer: 6*i + 1473014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = -3*y + 20, -3*h + y = -40. Let j be h\/(-63) - (2 - 2). What is the smallest value in 3, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwau when four letters picked without replacement from {c: 2, z: 1, u: 5, w: 3, a: 1}.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -g + 55, -4*g = 4*p - 2*g - 58. Calculate the remainder when 50 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -572, 4, -15\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 499065\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -10533?\nAnswer: -10553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.01 - 8. Let d = 8.99 + j. Let p = 8.9 - d. Which is the third biggest value? (a) p (b) 0.1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(20))\/(2*sqrt(144) - sqrt(9)).\nAnswer: sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71255.5kg to grams.\nAnswer: 71255500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 304\/3800 + 1144\/(-6175).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*y + 429 - 477. Let j = 7 + -3. What is the remainder when j is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2400982 - 2400875.9947. Let c = t + -106. What is c rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 8*o + 18 = 0. Let u(d) = d**3 + 5*d**2 - 8*d + 1. Calculate u(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -302*p + 19543. Determine o(49).\nAnswer: 4745","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 7 - 3*a + 169 - 610 + 100.\nAnswer: -3*a - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 9215.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 47*h - 41*h - 5 + 162*h - 70*h - 3.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 2, 39, 42 in ascending order.\nAnswer: -19, 2, 39, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4368 + 12?\nAnswer: 4381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 25016554.\nAnswer: 100066216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v**2 - 8*v**2 + 0*v**2)*(29*v + 36 - 19*v - 20*v) to the form g + k*v**3 + u*v + a*v**2 and give k.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*p, -11 - 21 = -4*g + 4*p. Suppose -g*x + 78 = u + 16, -4*x - 2*u = -86. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**6\/5 + b**5\/60 + 41*b**4\/24 - 94*b**2. What is the second derivative of c(g) wrt g?\nAnswer: -144*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -12. Suppose h*j = -3*p + 4*j - 419, -p - 3*j = 138. Let r = p + 236. What is the greatest common divisor of 38 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4970 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 14 = 3*q, 0*q + 2*v - 20 = -3*q. Suppose 3*k - q*k = 5*f, 5*f + 3*k + 2 = 0. Is (1\/3)\/(f\/(-117)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/17? (a) 3 (b) -2\/3 (c) -1 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12065)\/1725 + (-10 - -17). Which is the third smallest value? (a) m (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329757363 a multiple of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*s + 1329 = -1107*s - 1975 for s.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 + 3*p**2 + 98*p + 3. Let y(u) = 13*u**3 - 8*u**2 - 291*u - 9. Determine 8*g(h) + 3*y(h).\nAnswer: -h**3 - 89*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -2*v + 4*q, 82 + 32 = -2*v - 4*q. Let y be (-13)\/(-5) - v\/(-95). What is the units digit of -4 + y\/(-8)*-7*48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + (-2 - (5 - (17 - 11))) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**2 - 19*v. Does 17 divide u(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 28, -0.14, -2\/11, 256, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32))**2*-3 - sqrt(2) - ((sqrt(24) - -3*sqrt(24))\/sqrt(12))**2) + sqrt(2)*3*6 + -3 + (sqrt(2)*-2)**2.\nAnswer: -123 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i - 5*i)*(3 + 2 + 9)*(4 - 6 + 0).\nAnswer: 84*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5702 times 834\nAnswer: 4755468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -6 - 5) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/(-14)*21\/(-6). Let u(s) be the first derivative of 1\/2*s**4 + 0*s - 3 + 1\/2*s**d + 0*s**3. What is the second derivative of u(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**3 - 18*o**2 + 13*o - 2. List the prime factors of r(5).\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/4 - 18\/4. Let h = 14 - o. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.31*0.3.\nAnswer: 1.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 * 5.977\nAnswer: -32.2758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1593 times 43\nAnswer: -6.8499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 690*-0.1\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 3, g: 2, q: 5, t: 1, o: 5}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 13\/20530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:16 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2 - 2 - 3 - 2*v + 4*v**2. Let c be (-4)\/(-6) - 320\/(-60). Let u be f(c). Solve -3*n = -5*s - u, 2 = 3*s - 5*n + 7 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2.604, 1\/7, 3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -2*q**7\/7 - 36*q**6 + 1453*q**3\/3 - 328. What is the third derivative of p(m) wrt m?\nAnswer: -240*m**3 - 12960*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -19 + -5 + -4 - -37) + 7?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*h**3 + 292*h**3 + 216*h**3 + (-4*h - 2*h + 4*h)*(3 - h - 3)*(2*h - 5*h + 5*h) to x + l*h + b*h**3 + w*h**2 and give b.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*u**4 - 28*u**4 + 90*u + 11*u**4)*(-6*u + 4 - 4).\nAnswer: -6*u**5 - 540*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*v**4 - 4*v**5 + 7*v**4 + (-2*v**2 - v**4 + 2*v**2)*(-2*v + v + 2*v).\nAnswer: -5*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1\/4)*g*g*g*g))**(2\/21)*(g\/g**(3\/7)*g)\/g*g*g**3*g*g assuming g is positive.\nAnswer: g**(265\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 104 = 2*v - 556, -2*v - 5*u = -660. Suppose 2*h + 5*d = -0*h + 206, 3*h = 3*d + v. What is the greatest common divisor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k**2. Suppose 0 = 3*r + 2*r - 25. Let z = 14 + -7. Let f(v) = -7*v**2. What is r*o(u) + z*f(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 1830*t**2 - 165280*t + 1207680.\nAnswer: -5*(t - 222)*(t - 136)*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9*i + 2. Determine k(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5+78614309983\nAnswer: 78614309988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + (89 - 206) + 0 + 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/68)\/((-52)\/1248).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2. Let b(m) be the first derivative of 9*m**2 - 12. What is b(c(o))?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 - 224. Suppose 3*q - 87 = -q - n, 5*q - 113 = 3*n. Let o = q - b. Sort o, -4, 1 in decreasing order.\nAnswer: o, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010000101100111100100 - 0?\nAnswer: -10010000101100111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8*o\/(o\/o**(2\/3)))\/(o**(-11)\/(o*o**(5\/6))) assuming o is positive.\nAnswer: o**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 254, 1323, 3096, 5573, 8754, 12639, 17228?\n\"Answer: 352*c**2 + 13*c - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/15 + (-5)\/(-3). Suppose v = 4*g - 3*m - 15, g - 1 = 4*m. Solve -2*r = n + 9, -g*r + 8*r - 5*n = -20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 44\/8)\/(125\/(-250)). Solve 34*z - 8 = 32*z - 3*m, k*m - 25 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110998081639 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oofoobobobobbbofob. Give prob of picking 2 o.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2253 + 2257. Let w = -1 + 1. What is the nearest to -0.2 in w, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2215.\nAnswer: 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 16. Let a(n) = 11*n**2. Let c(t) = -t**2. Let p(x) = 2*a(x) + 18*c(x). Let m(u) = -u**2. Let d(w) = -22*m(w) - 6*p(w). Calculate d(h(k)).\nAnswer: -2*k**4 - 64*k**2 - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 11*t - 4. What is the tens digit of (t - -1)*343\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -0.13, -22, 0.3, 2, -1\/4, -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 771 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*p + 560*p + 1040 = 336*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (33 + -19 - 15) + -9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by -187.\nAnswer: 240\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -17761, -6, -7 in descending order.\nAnswer: -6, -7, -17761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 30*t + 28*t = -2, 0 = -4*b - 5*t + 31 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(14)\/(sqrt(700) + sqrt(7)))**2 - (sqrt(10) - (sqrt(10) + (sqrt(10) - (sqrt(10) + sqrt(20)\/sqrt(2)*-3))))\/sqrt(5).\nAnswer: 50\/121 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.938707952 rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37\/2 + 181\/10. Calculate the common denominator of i and 139\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4322 = 65722. Let x = 18255 + z. Suppose -11*q = -6*q - x. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4481134 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9550501 - 2.\nAnswer: -1.0449499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**5\/15 + j**4\/6 + 17*j**3\/6 - 27*j**2. Does 20 divide i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-426 - 277 - 188)*(7*n - 12*n + 9*n)*(-1 + 2 - 2).\nAnswer: 3564*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7*s - 5. Let d(u) = -u**2 + 9. Let b be d(0). Suppose 8 + 13 = 3*p. What is the remainder when o(b) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 572*h**2. Let i(j) = -2483*j**2. Give r(i(w)).\nAnswer: 3526545308*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -25. Let p be (m - 0)*(-104 + -23). Calculate the remainder when 98 is divided by p\/5 + (-10)\/25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 121, 158, 177, 172, 137, 66, -47?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16437823?\nAnswer: 16437823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 4*g - 103. Is 1 + (5 - 2 - 4) + g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85\/17*3\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byxyxyr. What is prob of picking 1 b and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 35*o - 38*o + 8*o**2 - 9*o**2 + 15*o. Calculate l(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9\/2))**(19\/5) assuming x is positive.\nAnswer: x**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s**7\/21 - 13*s**6\/30 + s**4\/6 - 35*s**2 - 149*s. What is the third derivative of f(r) wrt r?\nAnswer: -120*r**2 - 312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 7 = -5*q + 28, -31 = -3*p - 4*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4899 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-14)*84\/24)\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 202 - 1?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 308 + 15406.7.\nAnswer: 15714.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - n + 1)*(-3*n - n + 2*n + (-4 - 3 + 4)*(0*n + 2*n - 4*n)) + (7 - 3*n - 7)*(-1 + n + 1) in the form a + w*n + l*n**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x**3 - 5*x**3 + 3*x**2 + 4*x**3 + x**2 - 3*x. What is the units digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2121805 divided by 23.\nAnswer: -2121805\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 17 + -3 + 30\/4 + -4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 283670512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49975*v - 49964*v + 99933*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x + 7 = 7. Solve y - 8 + 11 = x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g + 2*g**4 + 5*g**2 - 8*g + 5*g + 2*g**3 + 16*g to the form v*g**3 + y*g**2 + z*g**4 + c*g + j and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.2, 0.2, -1.\nAnswer: -1.2, -1, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjp when three letters picked without replacement from {j: 1, r: 1, z: 2, p: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3 + 5. Suppose 5*d = f*d. Suppose 5*w - 45 + 0 = d. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-14)\/6 - -1)*-3. Suppose -k*p + 2*p = 4. What is the nearest to 0.1 in p, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 1\/3, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -27*l**2 - 5*l + 23. Let r(o) = -13*o**2 - 3*o + 10. Determine 9*r(s) - 4*x(s).\nAnswer: -9*s**2 - 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 278. Calculate s(-11).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let c be ((-1 - 0) + d)*-1. Suppose -5*q = -j - 2*j - 416, -5*q + j + 422 = c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177328995 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324313?\nAnswer: 11, 29483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. Suppose -k*t = -11 + 3. Suppose -5*i - 15 = 0, a - 2*a = 5*i - 8. Solve t*z = -5*y + 7, -2*y = -y - 5*z - a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 4.5, 0 in decreasing order.\nAnswer: 4.5, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2091994679 plus 14837?\nAnswer: -2091979842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/2 - (-35)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l = -39. What is the highest common factor of 26 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003758 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.92048 litres in millilitres?\nAnswer: 74920.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -211*d - 1057. Give m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2. Let d(w) = -2*w + 23. Let j(c) = -c + 1. Let x(q) = d(q) - 4*j(q). Suppose 9*b - 3*p + 87 = 4*b, -2*p = -b - 16. Determine b*i(o) + 2*x(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t**2. Let k(m) = 315*m + 1263. Let o be k(-4). Let d(l) be the second derivative of 0*l**2 - 1\/2*l**o - 25*l + 0. What is d(w(v))?\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**3 - 83*x - 24. Let d(b) = 3*b**3 - 42*b - 13. What is -11*d(i) + 6*l(i)?\nAnswer: 9*i**3 - 36*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**4\/2 - 445*w**3\/2 - 901*w**2\/2 + 3133*w\/2 - 894.\nAnswer: (w - 447)*(w - 1)**2*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Suppose -g - 2*g - 4*b = 11, -2*b - 1 = 3*g. Suppose -4*s + g*s - i + 3 = 0, s - i = 7. Let r(d) = 3*d - 644 + s*d + 644. Give k(r(v)).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 10*x - 80. Let o(p) = p**2. Determine o(r(v)).\nAnswer: 100*v**2 - 1600*v + 6400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 + 0.7. Let u = -18 + 22. What is the second biggest value in u, 3\/5, f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108 or 11.1839?\nAnswer: 11.1839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120093.\nAnswer: 3, 40031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/10)\/(142\/15265*-43).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 459370 and 2130.\nAnswer: 1378110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 11, 391\/20?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 8 + 15 + -6 - (0 - -2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u - 20. What is q(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -436 by -6.\nAnswer: 218\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40656862 + -1.5.\nAnswer: -40656863.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 24*s = 70. Let x = s - -65. Suppose x*u + 7204 = 34*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.37, 0.2, -14, 0, 87?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**3 + 3. Let f(d) be the first derivative of 2*d**3\/3 + 2. Calculate b(f(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130 + 133. Let s = 8 + 1. What is the greatest common factor of x and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 494 = 5*c - 2*r, 3*r = 4*c + 2*r - 397. Let b be (-1)\/(2\/c*-1). Let s = 74 - b. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -47*v**3 - 2*v**2 - 2*v - 1. Let z(i) = 4*i**2 - 1. Let f be z(-2). Let a = 14 - f. Calculate the least common multiple of 20 and r(a).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/24036 and 89\/4306.\nAnswer: 51749508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*m - 867 - 1239 = 0. What is the smallest common multiple of m and 2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 72 - 2d?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -187, -310, -433?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 0.6235763.\nAnswer: -5.6121867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*z + 14*z - 17*z)*(2 - 2 - z**2) to the form k*z**3 + n + a*z**2 + l*z and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.219 * -1.8.\nAnswer: 0.3942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -2335?\nAnswer: -2335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + 1. Let i(p) = 9*p + 11. Let w(u) be the second derivative of -5*u**3\/6 - 3*u**2 + 58*u. Give x*w(c) + 4*i(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (60\/(-9))\/(5\/(-15)). Find the second derivative of -i*z + 3*z**5 + 30*z - 5*z**5 wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2. Let p = 3 + -1. Let b(n) = 4*n + 4*n - 2*n + p*n. What is b(u(o))?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 7*w - 7 - 2 - 33. Let d be k(21). Suppose 0 = 2*m - 5*z + 3 - d, -z = m - 2. Solve -m - 2 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42107, -40806, -38637, -35600, -31695, -26922?\nAnswer: -21281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114203, 114970, 115739, 116510?\nAnswer: 117283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**5 - 445*f**4 + 905*f**3 - 455*f**2.\nAnswer: -5*f**2*(f - 1)**2*(f + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -937 + 936.7. Which is the nearest to -0.21? (a) -2\/5 (b) 7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/(-52)*(-10)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*f + 2*z, 3*f - 16 + 8 = 4*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752 is divided by 575.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 p when three letters picked without replacement from {p: 2, h: 1, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 352713.\nAnswer: 141085.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 1)\/(5\/(-10)). What is the tens digit of 112\/3 + (-4)\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -3 (b) -2\/7 (c) -43 (d) -0.4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(17)) + sqrt(17))**2 - (sqrt(2448)*-4 + sqrt(2448)).\nAnswer: 77 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 1. Let m = 15076.13 - 15076. Which is the nearest to -1? (a) 0.5 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*s**3 - 71968*j + 3446*s**3 wrt s?\nAnswer: 3*j*s**2 + 10338*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -40\/21268113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.98 + -9.3. Let v = -0.32 - y. Which is the smallest value? (a) 4 (b) v (c) -1.8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -242, -242, -244, -248?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 22239.071 to the nearest ten.\nAnswer: 22240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-2 - (-1 - -2) - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -1. Let y(f) be the first derivative of 22*f**3 + f**2\/2 + f - 146. Let z be y(n). What is the highest common factor of 44 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 143964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p - 28. Suppose 5*u = -4*d + 10, d - p = -3*u - 1. Suppose 4*f = -2*q - 12, 3*q - 2 = f - u*f. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -56 - 3*v**2 - 1\/18*v**3 - 54*v. Factor x(j).\nAnswer: -(j + 18)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.839745 to two decimal places.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*z - 4*n, -2*z - 5*n + 1 = z. Suppose 6*g - z*g = 8. Suppose -g*h = h + 9. Let p(c) = c**2. Calculate p(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.36?\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*v = 205*v + 5580. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvhn when four letters picked without replacement from {h: 7, n: 4, v: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4 - 15796.5?\nAnswer: -15809.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*b = -292, 0 = 3*r - 3*b - 259 - 35. Let f = r + -99. Let h = -4 - -3. Put -5, h, f in decreasing order.\nAnswer: f, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33335 and 0.095?\nAnswer: 33335.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12320 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -28. Suppose -r*d = 2*z + 208, -5*d - 3*z - 74 = 186. Let o = -50 - d. Solve o = -3*l + 11 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3049*h = 5045*h + 594581 - 1501109 for h.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t = -24. Let o(x) = x**2 + 6*x + 6. Let g be o(t). Suppose m + g = 2*m. What is the highest common factor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1017 and 15026778.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/7, -1, 155, -0.01, 0 in descending order.\nAnswer: 155, 4\/7, 0, -0.01, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -7. Suppose x*z + 8 = 4*z. Suppose 3*w + 19 = 2*s, z*w = 3*s - 8 - 8. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 10, 3*d = 531*n - 529*n - 29 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 270896263 and -3135253.\nAnswer: 267761010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 11*i**3\/3 + i - 10. What is the units digit of t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*l - 398*l - 3*l**3 - 2 - 4*l**2 + l**4 + 197*l as f*l**2 + s*l + j*l**3 + u*l**4 + p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -2*d + u + 82, 3*u = d - 25. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0299, -0.05, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051.3 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - p + 9. Determine s(10).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4343 > -4333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507 and 11219403?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7495, -146 in increasing order.\nAnswer: -146, 0, 7495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 f when three letters picked without replacement from ttttutftttttttuftutt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40618 - -86534. Is (-3)\/15 - c\/(-60) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13120000 to the nearest one hundred thousand.\nAnswer: -13100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4545981008*a - 4545981008*a - 751*a**2.\nAnswer: -751*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4294a5 + 55?\nAnswer: 42952a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k**2. Let c be m(1). Solve 0*s + 15 = 2*h + c*s, h = -4*s + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2254*y**3 - 52*y**2 + 1586*y + 146 wrt y.\nAnswer: 13524*y - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94369.\nAnswer: 11, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -9, 0, -0.1, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 26*m**2 + 28*m - 5. Let x be g(-3). What is the highest common factor of x and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 441\nAnswer: 5\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -59 - (0 + (-2)\/(-1)). Let x = -268 - -421. Let n = x + j. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*y**3 - 113*y**3 - 70*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9221 + 16210. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*((sqrt(832) + sqrt(832) + -3*sqrt(832)*-2 + sqrt(832) + sqrt(832) - (sqrt(832) - (sqrt(832) - (-4 + (2*sqrt(832) - sqrt(832))))))*-4)**2.\nAnswer: -2157053 - 18432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:26 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 10. Let u = t + -5. Let a = -55\/2 - -27. Is u <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2329538 or 2329537?\nAnswer: 2329537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**7\/105 + 7*u**6\/10 - u**4\/8 + 10*u**3 - 14*u**2 + 2*u. Find the second derivative of z(y) wrt y.\nAnswer: 24*y**2 + 504*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqyqdydywy. Give prob of sequence qwd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k**2 + 1508*k + 14. Let p(q) = 5*q**2 - 754*q - 6. Calculate 2*g(z) + 5*p(z).\nAnswer: z**2 - 754*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 0, -3*j + r = -4*r - 200. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:59 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1238 - 821. Calculate the remainder when 723 is divided by x.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1220?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 22 = 44 + 22 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290354 is divided by 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66011*q + 66113*q - 1530 = 0 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 12. Suppose -8*s + 21 = -5*s. Suppose 0 = 3*q + k - 2*k - 24, 4*q = -2*k + 42. Calculate the remainder when q is divided by o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(66) + (sqrt(66) - (sqrt(66) - -1*sqrt(66)))))\/(sqrt(864) - (sqrt(864) + -1*sqrt(864))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -14*c + 62. Let u be n(4). Suppose u*r = 19*r - 65. What is the greatest common divisor of r and 120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -174486, -347443, -520400?\nAnswer: -693357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t - 50. Determine m(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:53 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145120 and 832?\nAnswer: 3773120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120096.\nAnswer: 2, 17, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2871604455 to the power of 1\/3, to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**5 - 93*l**4 + 5583*l**3 - 64995*l**2 + 196200*l - 175500 = 0.\nAnswer: -65, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.084 in -3, 4, -1\/5, 2\/35, 0.2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -454 - -457. Let p be 68\/g + 10\/(-15) - 2. Suppose -o - o = 4*k - 26, 4*o - 5*k = 0. Solve p = -o*z + z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/7)\/w*w)*w**(-2\/3))\/(w*(w\/(w*w*w**0))\/w*w)**(-2\/71)*(w**(4\/7)\/(w**(3\/4)\/w))\/((w**(-2\/5)*w)\/w)**(-41) assuming w is positive.\nAnswer: w**(-6343\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -5*g**4\/12 + g**3\/3 - g**2\/2 + g. Suppose 0 = 4*a + 16, h = 5*h + a. Give d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/33215 and -3\/17885.\nAnswer: 232505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)\/(d*(d*d\/d**9)\/d*d))\/(d**0*d**9\/d) assuming d is positive.\nAnswer: d**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -16*o**2 - 2144*o + 102. Is f(-108) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**3*i**3 - 244*h**3*i - h**2*i**3 + h**2*i**2 - 88811*h*i**3 + 5*h*i - 2 wrt i.\nAnswer: -12*h**3 - 6*h**2 - 532866*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 13, -3, 0.29, 0.287, 0.3?\nAnswer: 0.287","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 416 = -3*t. Suppose 4*c - 2*f - t = 0, 0 = -2*c - 4*f - 0 + 6. What is the smallest common multiple of c and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 33577466*w\/3 + 281861555745289\/3.\nAnswer: (w + 16788733)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/5 or 3322808?\nAnswer: 3322808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -13 + 13 - (4 - 2 - -12). Let h(j) = 4*j + 9. Let f be -2 - 12\/((-3)\/(-1)). Let i be h(f). Are g and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 8*u**2 - 2*u**2 + 4*u**3 + 2 - 5*u**3 to the form z*u + y + h*u**3 + r*u**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058215 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -41 - (0 - 4). Let i = j - 31. Calculate the greatest common factor of 40 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(-4\/5))\/(b*b\/b**(-13)*b))**(-36))**38 assuming b is positive.\nAnswer: b**(101232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 549402\/205 - 2680. Let i(k) = -2*k - 23. Let y be i(-11). Is p greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, 10, 17493 in decreasing order.\nAnswer: 17493, 10, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1656\nAnswer: -1\/1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6566 - -58875. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 2:47 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhhlhaheehqeaeq. Give prob of picking 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 7:28 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 103*c - 99*c. Factor -c*f**2 + 12*f - 4\/3.\nAnswer: -(9*f - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 18 + 18)*(22*r + 7*r - 5*r - 1) in the form t + p*r and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.45 + -0.05. Let n = -89 + 53. Let t = n - -36. Sort t, m, 2\/3 in increasing order.\nAnswer: t, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 204276*g**4 + 199*g**2 - 456*g?\nAnswer: 4902624*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8 - (-4)\/(-8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8754374 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0248 * 1.1\nAnswer: 0.02728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 - 356 = -7*t. Let a(b) = 23 - t*b - 40 + 16. Let v(w) = 2*w**2. Give v(a(z)).\nAnswer: 13122*z**2 + 324*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -190370?\nAnswer: -190373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7935*t. Let a(w) = -w**2 + 88*w. Give a(p(d)).\nAnswer: -62964225*d**2 + 698280*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*s - 24. Let l = -270 - -271. Let m be (s\/18)\/(0 - l). Which is bigger: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**(-7\/2)*o*o*o*o\/((o**0\/o)\/o)*o**(1\/2)*o**2\/o assuming o is positive.\nAnswer: o**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.251 and -19014.\nAnswer: 4772.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*v + 16 = -11, -9 = 2*d + 3*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-1)*(-24)\/(-16) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 6*q + 5*f - 18, -12 = -5*q - f. Suppose 2585837 + 594171 = -3*o - 4*s, 0 = q*o - 3*s + 2119994. What is o rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1648 - -1671. What is the remainder when 106 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(192))\/(-5*sqrt(6)\/sqrt(2)).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 47\/4 of a century?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 4*b**2 - b + 15. Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -20. Let a(l) = 4. Let n(i) = -11*a(i) - 2*d(i). Let p(h) = -h - 9. What is -7*n(t) + 3*p(t)?\nAnswer: -3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b609 (base 16) in base 5?\nAnswer: 12042022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4365*r**2 - 1221*r**3 + 4365*r**2.\nAnswer: -1221*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (390\/((-78)\/(-6)))\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 + 2*m. Let r(y) = 356*y + 363*y - 713*y. Calculate f(r(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/56*-24)\/((-75)\/(-70)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 402298, 402167, 402036, 401905?\n\"Answer: -131*j + 402429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54715?\nAnswer: 5, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -11*z**5\/10 - 15*z**2 + 6*z. What is the derivative of k(c) wrt c?\nAnswer: -66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 76 + 39 = 0. Let o(f) = -1. Let d(j) = 2*j - 2. Let y = -18 + 8. Let s(h) = l*d(h) + y*o(h). Let x(v) = 3*v. Calculate s(x(i)).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 43*g - 46*g + 8, -2*q + 5*g - 7 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 161717338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*o**3\/3 - 41000*o**2\/3 + 20509*o\/4 - 1923\/4.\nAnswer: -(o + 641)*(16*o - 3)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -23)\/(651\/93). Solve v*j + 308 = 317 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2449*p**2 - 2702*p**2 - 242*p**2 + 65*p**2.\nAnswer: -5328*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8558.92 and -1.7.\nAnswer: 14550.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1853 + a8?\nAnswer: -1756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -218 by 687038.\nAnswer: -109\/343519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 587 - 637 = -16*n. What is the remainder when n is divided by 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b**2 - 6*b - 3. Let q be m(-2). Let v(l) = l**3 - 7*l + 7. Let a be v(q). Let f(n) = 10*n - 1. Determine f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-153)\/(-12) + 3\/(-4). Solve -2*a - 2 - 12 = 4*u, 4*u + d = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*d = -694*d + 2565 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25510 is divided by 6350.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 102828 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + -0.13. Let i = l + 0. Let v be (9\/12)\/(1 - 3). Which is the second smallest value? (a) -0.2 (b) v (c) 0.2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - ((-35 - 23) + 19 - -8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b**2 + 5*b - 24*b**2 - 18*b**2.\nAnswer: -4*b**2 + 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 9*m + 17. Give q(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 5*y - 11. Let x be s(8). Let q be 6\/(-10) + x\/5. Let v be 45\/10 + 2\/(-4). Solve 0 = q*m - 5*c, 5*m + v*c - 3*c + 27 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -859889\/5 - -171978. Let q = 1.9 + 0.1. What is the nearest to q in -2, 7\/2, w?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**6\/780 + g**5\/390 + g**4\/78 + 4*g**2 - 7. Let q(y) be the second derivative of a(y). Find r such that q(r) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 7*o - 2. Suppose -2*d + 3*s = -0*d - 20, 0 = 3*d - s - 37. Let z = d + -21. What is the units digit of c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 171 - 168.5. Which is greater: t or -0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 627869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1398.19281 to the nearest integer.\nAnswer: -1398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-5))\/((u\/(u\/((u\/u**(-5))\/u)*u))\/u))\/(u**0)**32)**(-3\/4) assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = -194*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18*s + 2. Let n(y) = -18*y + 2. Calculate -2*c(o) + 3*n(o).\nAnswer: -18*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7851204*n**3 + 355416888*n**2 + 95213989*n + 6395805.\nAnswer: (n + 45)*(2802*n + 377)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3410332996?\nAnswer: 2, 7, 121797607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 26*q**3 - 667*q**2 - 38*q + 30. Let p(w) = 9*w**3 - 222*w**2 - 14*w + 10. Let j(u) = 6*l(u) - 17*p(u). What is the second derivative of j(s) wrt s?\nAnswer: 18*s - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 33*y - 41*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 9*v**2 + 4*v - 2. What is r(-8)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -26*c**3\/3 - 82*c**2\/3 - 4*c = 0. Calculate c.\nAnswer: -3, -2\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -116656*a + 58326*a + 15 + 413*a**2 + 58328*a + 117*a**2 as j + h*a + x*a**2 and give x.\nAnswer: 530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -167814237*x**2 + 1328894*x.\nAnswer: -335628474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 9, 0*y + 3*z + 12 = -y. Let o(c) = 18*c**2 - c + 3*c - 14*c**2 + 2*c**3 - c**3. What is the lowest common multiple of o(y) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 145399 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 19973 + 4845*f - 19973 in the form j*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/6))\/(k\/(k\/k**(-2))))\/(((k*k*k\/(k\/(k\/k**(-3))*k*k))\/k)\/k**(-2\/7)))\/((k*k\/(k\/((k\/k**(-2\/5))\/k)*k*k*k)*k)**(-2\/11))**0 assuming k is positive.\nAnswer: k**(-5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-69)\/276 - 26\/(-168) - (-21 - 19314\/(-945))\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - m = 2*l, -5*l = -m - 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 55, 3, -40, -1, 1526.\nAnswer: -40, -1, 2, 3, 55, 1526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 45\/2077, -170 in increasing order.\nAnswer: -170, -3, 45\/2077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-39)\/(-6)*(-50 - -330)?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -47*b + 16. Let t(a) = 11*a + 1. Give 5*t(o) + u(o).\nAnswer: 8*o + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296 by 74.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3659761m?\nAnswer: 365976100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247305?\nAnswer: 3, 5, 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 10*c**2 + 12*c - 8. Let m = 51 + -40. Let g be o(m). Is 31 a factor of -1*(g - (67 + -2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - s - 263 + 251 - s.\nAnswer: -4*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:23 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, o: 1, u: 1}. Give prob of sequence owu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwm when three letters picked without replacement from ddwttldmddt.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -404*b - b**2 - 76*b + 0*b**2 - 108*b as p + f*b**2 + k*b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*u + 14. Let p(l) = -6*l**3 - 3*l**2 - 8*l + 3. Let g(j) = -j**3 + j**2 + 1. Let z(x) = -5*g(x) + p(x). Calculate z(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1.1 (c) 1\/2 (d) -0.0498 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/19, -5, -11?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*p + 2 + p + 0*p - 2*p - 1 - p + 1 + (-6*p + 4*p + 0*p)*(-1 + 0 + 2) + 3*p + p - 3*p - 2*p + 2*p + p - 6*p + 161 - 161 as z + h*p and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*q - 6 - 400*q + 108*q + 117*q + 88*q.\nAnswer: 17*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -1) + 3 + -30 + -11 + 42.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4\/11 - 1674*a**3\/11 - 3362*a**2\/11 + 5034*a\/11 = 0. What is a?\nAnswer: -3, 0, 1, 839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 262616\/5 + 9\/(-45). Suppose -9*f = a + 541477. Round f to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 326*i - 7986. Calculate c(-133).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 3*y + 54. Let s be i(-9). Let m be s - 1 - (-14)\/21. Suppose -5*g + 46 - 26 = 0. Which is the closest to m? (a) -0.3 (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/2 + s - 85. Let t(f) = -2*f + 4*f - 19*f - 8*f + 58*f. Calculate g(t(w)).\nAnswer: 6534*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 1, 3\/4, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1458) + (sqrt(1458) - (sqrt(1458) - (sqrt(1458) + sqrt(1458)*-1 + sqrt(1458)))))\/(sqrt(45)\/sqrt(80)))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14819 is divided by 2922.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91a + -22?\nAnswer: 8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916091.\nAnswer: 11, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1824 at least -1776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -11*i + 24577. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 13) to base 3.\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 188*i - 193*i - 775. Which is greater: -153 or i?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + r**2)*(3 + 0 + 2)*(51 + 132 - 15).\nAnswer: 840*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 16*d = -4. Factor d*l**4 + 13*l**3 - 16 - 111*l + 95*l + 0*l**2 + 3*l**3 + 12*l**2.\nAnswer: 4*(l - 1)*(l + 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**5\/4 - 28*h**2 + 2*h. Let q(o) = -o**2. Determine q(r(b)).\nAnswer: -225*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 296751276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -28, -39, -50, -61?\n\"Answer: -11*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 137970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 269*b - 2321. Let j be y(11). Calculate the greatest common factor of 986 and j.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {n: 1, e: 2, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2507 - -0.5?\nAnswer: 2507.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -84. Let u = l - 37. Let f be (3\/6)\/(1\/4). Solve 0 = -4*d - 2*m - 16, 2*d + f*d + 5*m + 10 = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 58690\nAnswer: 58689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -631*d**3 + 2*d**2 + 2*d. Let m be i(-1). Suppose 0 = 2*k - m + 27. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1151547106?\nAnswer: 2, 22259, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4210, -8, -1, 0.1, 1\/7?\nAnswer: 4210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 10. Let w(t) be the second derivative of -2*t - 1\/15*t**6 - 4\/63*t**7 + 1\/6*t**4 + 1\/6*t**5 + 0 - 1\/9*t**3 + l*t**2. Find n such that w(n) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22367.3 rounded to the nearest 100?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = -3*s + 17*s. Let q(n) = s - 11 - n + 3*n - 3*n. Let d be q(2). Solve 3*v - d*h + 11 = 0, v - 5*h + 11 = -11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17377 (base 10) to base 5\nAnswer: 1024002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 170*f + 41 - 41 + (-4*f + 4*f - f)*(4 - 5 + 3) + 0 + 0 - 2*f + 2 - 2*f - 2 - 3*f - f + 6*f + 0 + 0 - 4*f + 1.\nAnswer: 162*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6720*h + 2432 = -6644*h for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -4*b + 2*v + 3*v, 5*b - 4*v + 31 = 0. Let k(m) be the first derivative of 2*m**3\/3 + m**2\/2 - 3*m - 663. Give k(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15020 + -13331?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 175 = -2*b, -3*s + 11 = -3*b + 269. Let m = -85 + b. Let d be (36\/(-15))\/(3\/(-10)). Solve 4*q - m = 2*h + 4, 2*h = -2*q - d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + ((-120)\/(-14))\/2. Let j(f) = -10*f - 248. Let i be j(-25). Factor 2\/7*z**3 + 24\/7*z + 12\/7*z**i + u.\nAnswer: 2*(z + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:27 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + x - 1117 = 0, x + 382 + 1112 = 4*t. What is the remainder when 1124 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 2, -50, 20 in increasing order.\nAnswer: -50, 2, 20, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*b + 25, 2*j = 2*b - 3*b + 5. What is the second derivative of 8*h**3 + 38*h + 30*h**3 + j*h wrt h?\nAnswer: 228*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27298 or -27294?\nAnswer: -27298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1038 and 2578?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 + 20*q + 6. What is m(-8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23)\/(-3) - 2\/(-6). Let m(l) = -l**3 + 9*l**2 - 8*l + 5. Let f be m(k). Suppose 4*n + 312 + 28 = 4*u, -425 = -f*u - n. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 1404*y**2 - 5580*y - 5568.\nAnswer: -3*(y + 2)**2*(y + 464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.323223 rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4908952.\nAnswer: 2, 83, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*r + 1760 = -39*r + 10*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39752 is divided by 637?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28724600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p - 6. Let g(z) = 4*z - 3. What is 5*g(a) - 2*w(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3313504 (base 6) to base 8\nAnswer: -503060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/991980 and 7\/1980?\nAnswer: 991980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.04 and -571551651?\nAnswer: 571551650.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, m: 4}. What is prob of picking 3 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 0*y - 1\/70*y**7 + 0*y**5 + 0*y**6 + 0*y**3 - 1\/6*y**4 + 0 - y**2. Find the second derivative of d(k) wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714945 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56477 - 56475. Let u = 4.7 + -0.7. Sort b, -4, u, 3\/23 in decreasing order.\nAnswer: u, b, 3\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-10)*88\/(-33). Which is the nearest to 0? (a) 0.3 (b) -13\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.4 times 5\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.50846735 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5610624?\nAnswer: 2, 3, 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 0*i - i - 6 + 1 + 2. Suppose 0 = 3*p - 0*q - q, -5*p + 3*q = 0. Give y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-2 + (0 - -1)). Suppose -4*k - 5*t - 32 = 0, k = 3*t - t + j. Let r(s) = s - 2. Let p be r(3). Which is the closest to 1? (a) 0.5 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g + 2*g - 3*g + 6*g + g. Let j(a) = -1267*a. Calculate u(j(r)).\nAnswer: -1267*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = -4*l - 14, 40 = -4*w + 3*l. Let y = 8 + w. Suppose -5*f + 7 + 3 = 0. What is the smallest common multiple of f and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1199*y + 2155 = 832*y + 124*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 480 divided by -6.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 795 = 17*t. Suppose s = -54 + t. Let f be ((-1)\/(-2))\/((-2)\/(-60)). What is the highest common divisor of s and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 48 = -3*z - 7*b, -b - 87 = -4*z. Let i be (-1)\/(-3) - z\/9. Let y = 6 + i. Which is greater: y or -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3717049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -13 (b) 22\/7 (c) -4 (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/9 + 14*h**3\/9 + 6*h**2 + 58*h\/9 + 20\/9 = 0 for h.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 397255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -5 (c) 2.4 (d) -0.2 (e) -3\/11 (f) 34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1316 divided by 14\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2\/9*t**3 + 4 - 5\/9*t**2 + 4\/9*t + 1\/18*t**4 - 2\/45*t**5. Factor i(f).\nAnswer: -2*(f - 1)**3*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -617, -897, -1165, -1415, -1641, -1837, -1997?\n\"Answer: z**3 - 287*z - 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71082 is divided by 250.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + r + 19. Let v be u(-4). Let s be (4\/(-21))\/(30\/(-35)). Which is the closest to s? (a) v (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5700\/1800)\/(2\/12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4162, -3008, 3434, 15164, 32182?\nAnswer: 54488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1501 and 2299.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 67199, 67231, 67263, 67295, 67327?\n\"Answer: 32*w + 67167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 11:54 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12872170429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(-10)\/p))\/(p**(5\/2)*p))\/(p**12*p*(p*p**13\/p)\/p))**(-1\/44) assuming p is positive.\nAnswer: p**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5160 = -253*y + 912. Solve y*a - 273 = -15*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 2) + (-4 - (-10 + (8 - 10))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 96 = -13*k. Is k at least as big as 20\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1920 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 29 = 2*x. Let p = x + -32. Is p > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 5*b**2 - 8*b - 8. Let h be k(-6). Let f be (-2)\/(((-32)\/(-3))\/h). Put 3\/7, 0, f in decreasing order.\nAnswer: 3\/7, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 2*y**2 + 15*y - 36.\nAnswer: -(y - 3)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let p(s) = -4*s + 105. Let d be p(24). Let u(q) = 0*q + q + d*q. Calculate o(u(y)).\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 202 - -4.\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 + 3*m + 6. Let f be y(7). Suppose 4*i + 3*s = f, -i + 109 = -2*s - 3*s. What is the remainder when i is divided by 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from koiiaizkikkaiaiiax.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247442403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -687495, -687489, -687479, -687465, -687447, -687425, -687399?\n\"Answer: 2*m**2 - 687497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-3) - 7*-12?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*y + 4*y + 755, 0 = l + y - 253. Suppose -7*q + l = -3*q. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 34 = -3*l, -4*l + 4 + 8 = 0. Suppose 2*c = 5*a - 56, c + 52 = d*a - 3*c. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*((u\/(u\/u**9))\/u)\/u)**46*u**(-11)\/(u**36*u))**(-19) assuming u is positive.\nAnswer: u**(-6080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/11)\/((44\/4)\/(-22))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 707\/5*a**2 + 272\/5*a.\nAnswer: (7*a + 2)*(101*a + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2207 + -2208. Let n = -6.5 + -1.5. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -28. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -5*i - 5*b - 8, 0 = -i + b + 20. Let v be (-6)\/27 + 282\/54. Suppose 2*c + i = 2*j - 2*c, -v*j - 5*c + 30 = 0. Solve -2*g = 2*g + j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32755262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 5\/261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 smaller than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 6*y**2 + 6*y + 2. Let l be b(-5). Let c = 8 + l. Suppose 5*t + 11 = 31. Solve -2*f + c*o = -15, -3*o + 12 = -f + t*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 4. Let v(m) = -m + 8. Let d be v(4). Let y be k(d). Let t = 28 + y. Calculate the greatest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*i**2 - 38440*i - 2118144.\nAnswer: -(i + 56)*(11*i + 37824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 102002211000222 (base 3) in base 10?\nAnswer: 5901281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2564?\nAnswer: -2564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*w**4 + 2*w + 11 wrt w.\nAnswer: 2412*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 5:35 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2495766*x**3 - 2495769*x**3 + 5*x**2 + 5*x**2.\nAnswer: -3*x**3 + 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -27198.7326 to the nearest 1000.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 54053181 equal to 54053182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48\/169 + -361\/676. Which is the biggest value? (a) -1343 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.2, -5, 0.08, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, d: 1, p: 1, o: 2}. What is prob of sequence co?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -26.358068 from -14466.\nAnswer: -14439.641932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.4229 + 124.7401. Round w to the nearest integer.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16273.07 - 16449. Let b = 176 + f. Let g = 4.4 + 0.6. What is the closest to -1 in 1, g, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n - 10. Give y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 2*d - 1. Let o be u(0). Suppose -4*x = -3 - 5. Put -3, x, o in increasing order.\nAnswer: -3, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -135068228 and -0.3.\nAnswer: -135068228.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 1\/12*o**4 - 33*o**2 + 0*o + 0 + 2\/3*o**3. Calculate k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 10*b**2 - 9*b + 4. Suppose 0 = -13*v + 24*v - 143. Suppose -3*y + 4*y + 41 = 4*o, -2*o + v = y. Give a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a - 2*a + 2*a + 1. Let k(c) = -4*c + 7. Let t = -15 - -21. Let p be 0 + (-1 - 0\/(-1)). Determine p*k(j) + t*i(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -815 equal to -815?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1017 or 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/13, 13, -0.02, -3, -4\/3, -283?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-120800003)\/4 + (-6)\/(-8). Round h to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3333 - 3?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n = 10. Suppose -2*l + 43 = 3*g, 0*g + 73 = n*l - 3*g. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 235250 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13247799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 312*t - 317. Let q be z(1). Let a(j) = j - 1. Let y(d) = 26*d - 7. Let s(f) = -9*f + 2. Let b(w) = -8*s(w) - 3*y(w). Calculate q*a(n) - b(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/60*3 - (-17)\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 70. Suppose 4*a + 9 = 5*w, -8 = -a - g*w + 16. Suppose a*o = 2*o + 100. What is the greatest common factor of 40 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11581 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2)\/((-9)\/5634). Let w = v + -9. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11 + (44 - 14 - 3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 17*j + 30. Let v(a) = -5*a**2 - 9*a - 15. Let i be v(-2). Does 2 divide y(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:54 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h\/(h*h**13))\/h)\/(h\/h**4))\/(((h*h\/(h\/h**(-6)*h))\/h)\/(h\/(h**(-3)*h*h))) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 734645 (base 8) in base 14?\nAnswer: 64d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112010 - 112330?\nAnswer: -231000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 23*j + 51. Let w be y(26). Let k = w - 77. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h**2 + 2*h + 2. Let q be s(-2). Let m = q + 54. Suppose -3*d + m = d. What is the least common multiple of 4 and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 64 + (-39 - (-10 + 10))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 - 6*m - 11. Let o(r) = -6*r**2 - 7*r - 12. Determine 4*b(f) - 3*o(f).\nAnswer: -2*f**2 - 3*f - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -63660 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 42, -1, -88 in ascending order.\nAnswer: -88, -5, -1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -62*i + 3684114 + 3283898 + 895014. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 34. Suppose 3*x + 0*z = 3*z - 3, 0 = -3*x - 2*z + a. Sort x, 0, 5 in ascending order.\nAnswer: 0, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 245. Let z = -779 + 310. Let j = z + t. Round j to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 9*c + 50. Solve -m + 5 = -3*y - 6, -c*y - 23 = -4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(2*r + 2 + 3 - 7).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - i + 5*i)*(-1 + 2 + 4)*(0*i - 2*i + i).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029*c**5\/4 - 11683413*c**4\/4 + 417102*c**3 + 1788198*c**2 + 647172*c + 68124 = 0. Calculate c.\nAnswer: -2\/7, 1, 11354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.84082 - -0.15918. Let n = -0.7 + -0.1. Let s = 1 + n. Put i, s, 3 in increasing order.\nAnswer: s, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.286 + 0.016. Let j = -0.23 + h. What is the biggest value in -2\/3, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 - 111*m - 402 - 222.\nAnswer: -111*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 454 = 3*m, 3*m = 2*l - 0*l + 461. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2722, -5449, -8174, -10897, -13618, -16337?\n\"Answer: p**2 - 2730*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 + 3*o + 5. Let r(c) = 3*c**3 + 14*c**2 - 8*c - 15. Suppose -5*g + 60 = -4*u, 0 = 2*g - u + 14 - 35. Give g*h(f) + 3*r(f).\nAnswer: f**3 + 2*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126223282, -126223281, -126223280, -126223279?\nAnswer: -126223278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2940 and 322?\nAnswer: -946680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**4\/8 - 2*d**3 - 2256*d**2. Calculate f(-17).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 50, 21, -30, -109?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*d + 19, d + 5 + 3 = -5*y. Calculate the highest common factor of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 divided by 1\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 12*w + 44 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 89?\nAnswer: -15\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*v + 3512, 50*u - 4*v = 52*u - 3522. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - (0 + 9 - (30 - 27))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/195 and 31\/1410.\nAnswer: 18330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**5\/180 - c**4\/12 + 4*c**3\/9 - 10*c**2. Let l(y) = 0. What is y?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14421\/7 greater than or equal to 2060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 457036 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rara when four letters picked without replacement from {d: 1, a: 2, t: 6, z: 5, c: 2, r: 3}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 130183051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 710*v**2 + 2168*v - 7160.\nAnswer: -2*(v - 358)*(v - 2)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159 - 111. Is 1 + 866\/8 + (-12)\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -15, -0.3, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395877829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 13 = 4*q, -2*d + 12 = 4*q - 6*d. Let f(v) = 0 + 5*v - 4*v**2 + 5*v**q + 5. Determine f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-81)\/12)\/((-1)\/(-12))*102\/(-306)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -4106 = -4105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 2*g**2 + 0 + 0*g - 1\/3*g**3 + 1\/12*g**4. Let d be b(8). Calculate the greatest common divisor of 126 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -23*m + 230. Let u be i(10). Let l(z) be the third derivative of 1\/12*z**4 + 0*z + 0 - 10*z**2 + u*z**3. Let h(g) = 23*g. Determine l(h(t)).\nAnswer: 46*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 12977.9 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (62\/(-6))\/(-1 + (-64)\/(-66)) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 45253677 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzm when three letters picked without replacement from zzmzmm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2844244, -2844242, -2844240, -2844238?\nAnswer: -2844236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 9*i**2 - 4*i - 8. Suppose 0*o - f = 2*o - 108, -5*f = 4*o - 222. Calculate the remainder when o is divided by s(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = 49 + 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3424*j + 23591. Determine f(7).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 14 = -74. Suppose 5*m - 14 = q, -q - 3*q = -2*m + l. Suppose -m*s - s = 0. Which is smaller: s or 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 23*c**2 - 9*c + 6. What is the hundreds digit of u(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -208 - -4*(-12)\/16. Let s = -208 - a. Let c(l) = -2*l + 2. Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -264 by -66.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -16*i. Let z(s) = -8*s - 24. What is -2*a(q) + 2*z(q)?\nAnswer: 16*q - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258741 - 260102.69. Round r to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708055 (base 11) in base 14?\nAnswer: 218a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 10 = -2*m. What are the prime factors of 2\/m + 117\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2*(-2)\/4). Suppose 3*m + 0*m + n*k = -164, 4*m + 218 = -3*k. Let j = m - -119. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -6*(sqrt(99)*-3 + 3 - sqrt(99)))*-2*-3)**2.\nAnswer: -108864*sqrt(11) + 2068740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 3. Let y = 0 + -7. Let i be x(y). Solve 36 = -4*u + 4*p, 0 = -3*u + i*p - 0 - 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.62 + 0.53. Let g = 0.15 - f. Sort g, -1, 0.3 in decreasing order.\nAnswer: 0.3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.5, -0.02, 1\/3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 + 5*z - 5. Determine p(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 + -5.13. Let m = 0.01 + -2.01. Let k = 0.7 - 0.4. Sort k, m, c in ascending order.\nAnswer: c, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 3*a**2 - 3*a + 6. Give j(5).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z + 45*z**2 + 9*z + 3*z - 19*z + 5*z to the form d*z + j + g*z**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i - 11. Let q(c) = 3*c - 2. Let k(v) = -4*g(v) + 22*q(v). Let x(d) be the third derivative of d**5\/30 - 9*d**2. Determine k(x(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003897 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-5)\/k)\/((k*k\/k**(-14)*k*k)\/k*k))\/(k**(-1\/24)\/(k*k*k**(1\/13)\/k*k*k*k)))**(-6\/11) assuming k is positive.\nAnswer: k**(5891\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/(-8) - (-3)\/4)\/((-1560)\/(-276)) and 61\/28?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (601938144\/256)\/73 + 2\/16 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*u + 133, 4*u + 5*j = 5 + 104. Suppose 4*b = 43 - u. Suppose 0 = 3*i - 2*i - 4. Solve -29 = 5*f + i*t, 0*t - 3 = b*t for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - (1*sqrt(77) + sqrt(77))))*-2)\/(sqrt(891)*2 - sqrt(891))*-4*-3*-5.\nAnswer: 80*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = d - s, 38*d - s + 5 = 40*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792563 is divided by 134?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -274*-0.037988\nAnswer: 10.408712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308223 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*i*p**2 - 251*i*p - 13614*i with respect to p.\nAnswer: -46*i*p - 251*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 599354 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 14*w - 206. Determine i(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(3\/20)*p)\/p**(-7\/2) assuming p is positive.\nAnswer: p**(127\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-3 - 20\/(-5))*2129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20964?\nAnswer: 2, 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u + 156*u = 65*u - 840 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (1 - (5 + (5 - 4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**5\/4 - 1133841*l**4\/4 + 321401687907*l**3\/4 - 1606983495119*l**2\/4 + 241044462912*l + 723141042129 = 0?\nAnswer: -1, 3, 566918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 13*x = -26*x + 3 - 3, -3*y + 6*x - x - 36 = 0 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22162 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -22*p + 27*p - 2*y, -3*p - 13 = 2*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 14 + (88 - 49)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 + 308*u**2 + 1975*u + 8. Give v(-6).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26802157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 14357*o - 86106. Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 9*r - 3. What is the remainder when (-2)\/((-64)\/31 + 2) is divided by d(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4248 (base 13) in base 9?\nAnswer: 13536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 46695967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/758500 and -73\/27750.\nAnswer: 2275500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36874, 36709, 36544, 36379?\nAnswer: 36214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.23732 nanometers in millimeters?\nAnswer: 0.00006723732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 69 = 73*t - 74*t, 200 = 5*t + 4*j. What is the smallest common multiple of 264 and t?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6201*q**2 - 97*q**3 - 6201*q**2 - 49*q**3 - 116*q**3.\nAnswer: -262*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 10, -3, 556.\nAnswer: -4, -3, 2, 10, 556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) 1042 (c) -5\/6 (d) -1.1 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/6)\/(3\/20). Let f = -6 - -11. Suppose -j - f*k + l + 4 = 0, 0 = -j - 3*k + 14. Calculate the lowest common multiple of 10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 3*g - 21. Let r(c) = c + 5. Determine 2*l(i) + 9*r(i).\nAnswer: -2*i**2 + 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 u when three letters picked without replacement from {p: 2, v: 4, q: 2, u: 1, r: 2, w: 8}.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**2 - 3*n + 9. Let z be (-3)\/21*-1 + (-44)\/14. What is the units digit of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49390?\nAnswer: 2, 5, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 52*u**2 - 6265*u - 37626. Give k(-6).\nAnswer: 1836","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, m: 2}. What is prob of picking 1 y and 1 m?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 8*l = 14*l - 273. Solve -3*c + l*c = -108 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*u = 8*u + 27, -2*a + 18 = -u. Suppose a - 4 = 5*v. Is v\/(-4) + (-564)\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101239 + 101238 - 5*h**3 + 6*h**3 + 101242 - 303719.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97980080 rounded to the nearest 100000?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 49\/6*g**4 + 100*g + 0*g**2 - 61\/6*g**3 + 0. What is the second derivative of c(t) wrt t?\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m + 25 = 0. Let i = -1528 - -1528. Suppose -o**2 + 0*o - 10 + 6*o**2 + i*o + m*o = 0. Calculate o.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 150762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 + 5 = d, m + d - 4 = 0. Suppose m = -l - l. Solve l = 2*o - 6 - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*6)\/((-46)\/(-115))*(-65)\/(-39).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0422 + 2.9578. What is the nearest to -21 in -4, k, -0.5, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -5.912?\nAnswer: 6.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5}. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-33 - -10)) + (5 - 16) - -5 - 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-60)*(5 - 35\/10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1970898 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -501, -899?\nAnswer: -1297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*i - 11, 17*y - 4*i + 2 = 20*y. Let n(z) = 4*z + 0 - 2 + 1 + z. Let u(r) = -6*r + 1. What is y*n(w) + 3*u(w)?\nAnswer: -8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68369069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**8*n**(2\/7))**23 assuming n is positive.\nAnswer: n**(1334\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*i - 5*z + 39965, -4*i = 4*z - 31972. What are the prime factors of i?\nAnswer: 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b6e - -a?\nAnswer: 3b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/16 + -35\/48. Let i be (0 + 0)\/(0 + -2). Which is the second smallest value? (a) i (b) -2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 130?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 12*c**3 + 2*c**2 - c. Calculate the remainder when n(2) is divided by 30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31)\/(-4) - (-29)\/116. Suppose -4*b - a*b = -6300. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 4318533203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 4. Let o = -85 + 80. Let i(j) = 2*j - 5. Determine o*r(q) + 4*i(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 37 - 8 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 297, 663, 1175, 1833, 2637, 3587?\nAnswer: 4683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*i + 1938*i - 498 = 645*i + 653*i for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-1) - (-1 - 6). Let r = 124\/483 - -2\/69. Factor 0*b**q + r*b**4 - 2\/7 + 4\/7*b**3 - 4\/7*b.\nAnswer: 2*(b - 1)*(b + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*w - 22 = 0, -2*n + 5*w + 98 = 79 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -4 (c) -1\/8 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 5. Let s be a(10). Let y(v) = -v - 2. List the prime factors of y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -258, -253, -248, -243, -238?\n\"Answer: 5*h - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5449 - 5449 + 474*f)*(3*f - f - 3*f) - 2 - f**2 + 2 + 2*f to d*f + u*f**2 + w and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0*i + 3 = -3*i, 2*i - 26 = -4*y. Suppose -y*x = -2*x - 40. Let c(w) = -1 - 7*w + 13*w - 3 - x*w. Give c(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 12*f**7\/35 + 41*f**3\/3 - 10*f**2 + 3*f. What is the first derivative of t(q) wrt q?\nAnswer: 288*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*n**3 + m*n - 11*n**3*w**2 + n**3*w - 2*n*w**2 + 14*w**2 - w wrt n?\nAnswer: -6*m*n - 66*n*w**2 + 6*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860043867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38\/(-10) - (0 + -3). Is -3 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 20, -444*i + 7 = g - 446*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 726069.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**3\/3 + n**2\/2 - n - 57. Give u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 9*l**2\/2 + 17*l + 8663. Give s(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6517520154 to the power of 1\/2, to the nearest integer?\nAnswer: 80731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 2*n**2 + 5*n + 5. Let p(o) = -o**3 - o**2 - 2*o - 2. Let v(q) = -5*p(q) - 2*t(q). Factor v(r).\nAnswer: r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25645194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -47*o**3 + 8*o**2 - 8*o - 44. Let k be s(-8). Is (k + -1)*(-1 - -10)\/45 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjm when three letters picked without replacement from {m: 7, j: 2, a: 5}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087268 to six decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -103 + 513\/5. Let y(a) = a**2 - 12*a - 62. Let p be y(16). Sort b, p, -1 in decreasing order.\nAnswer: p, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(5*(-1)\/(-25)). Calculate the highest common divisor of m and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -822.077 to zero decimal places.\nAnswer: -822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-2)*(3\/6)\/(-1) + -3. Determine p so that -12\/7*p + 9\/7*p**3 + 0 + 6\/7*p**4 - 12\/7*p**u - 3\/7*p**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 g, and 1 u when four letters picked without replacement from {g: 1, b: 1, l: 4, v: 1, u: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3*t**3 - 12*b**3*t**2 - 28592*t**3 - 2029*t**2 + 5 wrt t?\nAnswer: 36*b**3 - 171552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c**3 + 18 - 946*c + 6 - 963*c + 1889*c - 4*c**2 as z*c**3 + u + v*c + j*c**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116, -240, -376, -530, -708?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -22. Suppose 4*l - 3 = 17. Suppose p - 3*f = l, -2*f + 10 = 4*p - 10. Solve x = p*i - i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 3.4 (b) -4 (c) 0.01 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258202 is divided by 690?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4529 - -2608.4529. Which is the closest to -2\/5? (a) -2 (b) n (c) 0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -3, -388?\nAnswer: -388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2102 - -2105. Let b(n) be the second derivative of -n - 32\/3*n**y - 1\/3*n**4 - 128*n**2 + 0. Let b(u) = 0. What is u?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 8*p - 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-17\/5)*h)\/h)\/h*h)**14*(h**(1\/6))**28 assuming h is positive.\nAnswer: h**(-644\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and (-369)\/(-36) - (-1)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by -6.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7305016.986 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 32*u + 9. Let w(v) = -11*v - 5. Let z(t) = -2*m(t) - 7*w(t). Let i(s) = -3*s - 4. Give -18*i(n) - 4*z(n).\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55027359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/10*(-30)\/(-18)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 26, 77, 146, 221, 290, 341, 362?\n\"Answer: -2*x**3 + 21*x**2 + 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*k + 2*c, -4*k - 3*c - 13 = -0. Sort k, 7, 1.\nAnswer: k, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2682*h**3*t**6 + 1168*h**3 - 9*h**2 + 2*h*t**6 - 2*t**2 wrt t.\nAnswer: 321840*h**3*t**3 + 240*h*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143303234 (base 5) in base 13?\nAnswer: -73cac0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9567.\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:27 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*f - 16, 20 = 6*f - 2*f + 4*l. Suppose -f*m + m + 5*g + 485 = 0, -2*m + 164 = 4*g. Calculate the remainder when m is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4139\/26412?\nAnswer: -4139\/26412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -617 + -45. Let j = o - -661. Let p = 0.28 + -0.3. Which is the closest to p? (a) -3 (b) j (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13335 - -42857. Let m = i + -1180797\/40. Find the common denominator of m and 615\/36 + 5\/(-20).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9\/20 - -47\/60. Let k be (-6)\/(-15) - 4\/10. Suppose k*g = g. Which is the closest to t? (a) 3 (b) g (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by -5 + -1 + 9 - (-19 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 5\/12*l**4 + 0 + 0*l**3 + 2*l + 0*l**2 - 1\/4*l**5. Find the third derivative of g(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1847*v**3 + 167*v**2 - 6*v - 25843451?\nAnswer: -5541*v**2 + 334*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 277398 and 41096?\nAnswer: 1109592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/5 + 11752*g\/5 + 34527376\/5.\nAnswer: (g + 5876)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 - 16*c**2 - 4*c - 12. Let n be u(-8). What is the highest common factor of n and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 + 12*p**2 + 8*p**2 - 8*p**2.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, f: 5, a: 9, u: 5}. What is prob of sequence ug?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 3*o**2 - 3*o + 1. Let b(r) = 5*r**3 - 11*r**2 - 13*r + 5. Let c(w) = -2*b(w) + 9*t(w). Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 0 - (-16 - -5). Calculate the highest common divisor of s and 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 4867187*f + 57*f**3 - 4867187*f.\nAnswer: 50*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2284329 to 3 decimal places.\nAnswer: -1.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3340*y = -1681*y - 1676*y + 391 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 10. Let b(w) = 452*w**2 + 123*w. What is q(b(r))?\nAnswer: -904*r**2 - 246*r + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 3*p - 49716*p**3 - 4*p - 1.\nAnswer: -49716*p**3 - 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 157.7 - 18924872032\nAnswer: -18924871874.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 154, 256, 388, 544, 718, 904?\nAnswer: 1096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -352*a**2 - 1356*a - 1002. Determine u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -45.3. Let s = 8.7 + n. Let r = -4 + s. Which is the biggest value? (a) 0 (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35345366*c*n**3 - 6*c*n**2 + 83269*c*n + 1 wrt n?\nAnswer: 212072196*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-25) + 28\/40 + 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1.3, 61\/4, 2 in descending order.\nAnswer: 61\/4, 2, -1.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 49851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2 - sqrt(76))*1*3*-5)**2.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1541 + 755153?\nAnswer: 756714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 - 14*k + 14*k)*(1 - 4*k + 4*k + 2*k).\nAnswer: -10*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 9. Let f be z(6). Let n be -4 - (-17 + f) - -3. Suppose -m + 50 = n. What is the remainder when m is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(784))\/((sqrt(112)*2 - sqrt(112)) + sqrt(112)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 1058492 = -4*a - 1058500, 5*b = -a + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -984 at least -986?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 3*o + 5. Let y(c) = c**2 + 2*c + 3. Let m(q) = -3*h(q) + 5*y(q). Factor m(z).\nAnswer: -z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = y - 11, -3*y + 19 = 19*r - 24*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-18 - -7) - (4 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -18 + 0*v + 3 + 13 + 8*v + 8. Let o(a) = -7*a - 5. Determine 5*o(f) + 4*u(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-25816 + 4746 - 9011 + 70884 + 54395 + 121066)*(2*l**2 - l**5 - 2*l**2).\nAnswer: -216264*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/50*(1\/((-4)\/(-3)))\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-15))\/(52\/(-12) - -5). Which is smaller: -0.01 or m?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 7:48 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 40 = -25. Suppose 2*m - 13 = -4*q + 1, -x*m + 2*q + 11 = 0. Which is smaller: 16\/9 or m?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1708866\/29 or 58927?\nAnswer: 1708866\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 - (3 - (-5 - -5 - 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 52606 = -2*c, 10*c + 39462 = 3*q + 6*c. List the prime factors of q.\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2860 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -881*a**4 + 14*a**3 - 27622*a**2 wrt a?\nAnswer: -21144*a + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1477)\/77 - (-8)\/44. Let c = -15 - w. Let l(v) = v - 1 - 4 - 2*v. Calculate l(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqlq when four letters picked without replacement from eeejjejleqqjq.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:41 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2098321656 bigger than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 8)*((-4 + 1 + 5)*(-f + 4*f - 5*f) - 4 + 4 - f + 0 + 2*f + 0 + 4*f - 3*f - 3*f)*(3 - 3 + 2*f).\nAnswer: 70*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 105\/84 + 2\/(-8) + 1024. Let h be (-10202)\/20*2 + -1. Let l = g + h. Find the common denominator of l and 49\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9070 + -9079.2369. What is w rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 4*r - 96 = 0. Let x(w) = -w**3 - w + 11. Let y be (6\/(-2))\/(-3) + -1. Calculate the remainder when x(y) is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-126)\/84*(-16)\/(-6))\/((-10)\/(7 + 173))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 23*g + 9. Determine f(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 4*z - 1. Let q(i) = -10*i + 3. Let b(g) = -6*g - 1. Let f(r) = 2*b(r) - q(r). Calculate f(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c - 3. Let z(y) = c - 3*y + 0*y - 8. Let t(i) = 4*i + 1. Let j(r) = -3*t(r) - 2*z(r). Determine j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 6 = 10*c. Suppose 406 - 127 = c*s. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 8*z - 36 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:09 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -11000111?\nAnswer: -11000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 884 and 60?\nAnswer: 13260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l + 810. Give r(-122).\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2171205512 to four decimal places.\nAnswer: 0.2171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/(-64) + 3\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j**(-4\/9)*j)\/j)\/(((j\/((j*j\/(j\/(j\/((j**(5\/4)*j)\/j))*j*j)*j)\/j)*j)\/j)\/j))\/(j**(-10)*j*j\/(j\/(j**(-11)*j*j*j))*j) assuming j is positive.\nAnswer: j**(623\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352) - (sqrt(352) + sqrt(352)*-3 - sqrt(352))) + (sqrt(792) - sqrt(792)*-1))\/(6*((sqrt(44)\/sqrt(4) + sqrt(11))*5 + 3*sqrt(22)\/sqrt(2))).\nAnswer: 14*sqrt(2)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 8*u**5 - 216916*u**4\/3 + 469880*u**3\/3 - 24096*u**2 = 0?\nAnswer: 0, 1\/6, 2, 9036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 607 divided by 354\nAnswer: 607\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 775469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.021 from 31216.\nAnswer: 31216.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 29 + 459. Suppose -5*f - b = 58 - 173, -4*b + l = 3*f. What is the least common multiple of 20 and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 5603 - 3055 - 3275 to the form f + q*j and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*h - 20, -2*b - 5*h + 8 + 0 = 0. Let q = 28 - -18. What is the smallest common multiple of q and b?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000499424243 to 6 dps.\nAnswer: 0.000499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5697428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10d5 - -140f?\nAnswer: 33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -75*q + 50. Let p be r(-7). Suppose 585 = 4*a - y - 2*y, -5*y = -4*a + p. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 2, v: 2, a: 1, n: 1, p: 2}. Give prob of picking 1 a, 1 v, and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4250*y = 5373*y + 15722 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 168 - 114. Suppose 15*c - 6*c = r. What is the third derivative of 9*s**4 - c*s**2 + 15*s**2 + 2*s**2 wrt s?\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8) - 32\/((-19200)\/38670))\/(6\/10).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of 3*y**5\/20 + y**4\/6 - y**3\/3 + 12*y**2. Let d be v(1). Suppose -6 = 5*i - d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 23.77829?\nAnswer: 24.27829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 47, -2, 2, 4 in descending order.\nAnswer: 47, 4, 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1118590 and 155474?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2 + 128*y + 2362. Let u be v(79). Sort -4, 11, 0, u, -2.\nAnswer: u, -4, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31339 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61695 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: How many minutes are there between 3:46 PM and 2:58 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-3)\/((-3)\/(-55)). Find the common denominator of 17\/t + (-562)\/60 and -97\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 324 + 443. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7851\/26 + 302. Let w = 11\/52 + n. Let t = -0.05 - 0.95. Which is the nearest to -3? (a) t (b) w (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 3646*z - 3596*z = 260, 6*z = -j + 32 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*c. Suppose -3*a + 14 + 22 = c. Let p(s) = s**2 - 47*s - 300. Let j be p(-6). What is the greatest common divisor of j and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7699 + -615919\/80. Which is smaller: -6 or p?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-13))\/((-21)\/273)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-10 - (1 - 22) - 13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(-30*8\/(-320))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -305 - -317. Solve w - 7*w + p = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1459739291 to the nearest integer?\nAnswer: 38207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.565 - 0.005. Let c = -0.07 - x. Let v = -41\/12 + 11\/4. Put v, c, 0 in decreasing order.\nAnswer: c, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:15 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -925?\nAnswer: 1\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 20*a - 1246. Let n be c(71). Solve 176*i = n*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3916000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 84*c**2 - 108*c - 1048. Calculate g(-41).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j. Let v(y) = 4*y - 12*y + 3*y. Let c(i) = -1. Let g(o) = -60*o - 4. Let w(p) = 4*c(p) - g(p). Let d(u) = -25*v(u) - 2*w(u). Give r(d(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 17 - 16)*(22\/(-8) + 2). Let s(n) = -8*n**3 + 11*n**2 - 5. Let k(b) = 4*b**3 - 6*b**2 + 3. Give y*s(q) - 5*k(q).\nAnswer: 4*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Suppose 17*k - 13 = 55. Suppose 0 = -j*f + k*c + 63 + 45, 0 = 2*c. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107.694 * 922.8\nAnswer: 99380.0232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 15 = -4*q + 8*m, -q - 5*m = 21. Let c be (q\/9)\/((-46)\/3). Do -1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21615434, 21615438, 21615442, 21615446, 21615450?\n\"Answer: 4*j + 21615430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 - 65\/(-10). Suppose n - 25*b - 8 = -26*b, 2*b = -b. Solve -j - x = -n*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 19*u + 12. What is j(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 31*o**2 - 29*o + 29. Let v be g(-30). Suppose 0 = -5*r + 141 + 114. Let y be 4*(2 + (-99)\/r). Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718.685 years in centuries?\nAnswer: 37.18685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.46 + 0.06. What is the smallest value in s, -0.04, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1736*q**4 + 3*q**2 - 47237.\nAnswer: -6944*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/2 + 23*p**3\/3 - 2*p**2 + 7*p. Let z(n) be the first derivative of u(n). Differentiate z(o) with respect to o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6989*f**3 - 24622*f**2 - 1373*f + 19874 wrt f.\nAnswer: 41934*f - 49244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 + 880*y - 880*y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.29268494 and -2.9?\nAnswer: 1.60731506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 - 69*s\/4.\nAnswer: s*(s - 69)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 998*f + 784 = 1150*f + 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6460.7 milligrams to grams.\nAnswer: 6.4607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 - 1.27. Let p = -0.0507 + 2.8007. Let f = i + p. What is f rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77346 and 8039687.\nAnswer: 4297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t + 1. Let k(i) = 3*i**3 - 21*i**2 - 18*i - 18. Let g(u) = -k(u) - 18*n(u). What is the third derivative of g(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35692, 35690, 35688, 35686, 35684?\n\"Answer: -2*q + 35694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30632098571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*d + 6. Solve -3*i + 9 = 0, 3*p - 4*i - 2 = -d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 3:53 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Which is the nearest to -2\/7? (a) y (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -948 divided by -474?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u*u)**(-6\/7)*(u**1*u)**19*(u*u**2*u*u*u*u*u**(1\/9))\/(u**(-1\/4)\/(u*u*u*u**(-3)*u*u)) assuming u is positive.\nAnswer: u**(11287\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/4 + 4787685*b**2\/4 + 5730479520963*b\/4 - 5730484308649\/4.\nAnswer: (b - 1)*(b + 2393843)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-20 + 45 - 55) + 31 + (0 - 80))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 323845 - 23.13\nAnswer: 323821.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a - 20. Let u be k(-8). Let f = 36 + u. Calculate the highest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52300, 104255, 156210, 208165, 260120, 312075?\nAnswer: 364030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406523.\nAnswer: 13, 31271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.04 and -7.539.\nAnswer: -7.84056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4462398 centuries?\nAnswer: 535.48776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3 + 0 - -2). Suppose -v + 5 + 19 = j. What is the greatest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830627801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 - 4*p**2 - 4*p**2 - 16*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggghgggghhgggg. What is prob of picking 3 g and 1 h?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1207*j**5 - 935*j**2 + j wrt j.\nAnswer: -72420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 463986131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and (3*(-11)\/(-15))\/(5\/25)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 34 = -3*g, 4*b + 42 = 4*g + 9*b. What is the greatest common factor of 296 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 + -26. Let d = 5 + -3. Suppose 8*k - 3*k - 365 = l*u, 0 = -d*k - u + 135. What is the greatest common divisor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:23 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19453?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 3*c**2 - 7*c - 6. Let t be s(-4). Let z = t + -3. Let r = 13 - z. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5196 divide 2318895709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3463 - 76117\/22. Find the common denominator of n and (-426)\/21*(-1841)\/(-69432).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6*2)\/((-18)\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34389198 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: Calculate the remainder when 51918925 is divided by 195.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(35)\/(sqrt(5) + sqrt(405) + sqrt(405)*1 + sqrt(405)) - ((2*1*sqrt(7) - sqrt(7)) + -3)))**2.\nAnswer: -27*sqrt(7)\/2 + 6217\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -628049000 to the nearest one million.\nAnswer: -628000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 - 21*h - 2. Let q(c) = 429*c. What is q(k(t))?\nAnswer: -429*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66*k**4*x**2 + 2*k**3*x**2 - 2*k*x**2 - k*x + 22*x**2 wrt k.\nAnswer: -792*k**2*x**2 + 12*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*d = 115*d + 17908. Suppose 3*w - 1277 = 1066. Let h = w - d. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 + 324 = 5*w - 12*w - 51 for w.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -t + 9 - 0, -3*t + 5 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3111 and 15606?\nAnswer: 951966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/2 - 3*n**4\/2 - 9*n**3\/2 + 23*n**2\/2 - 6*n.\nAnswer: n*(n - 4)*(n - 1)**2*(n + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 6214*r + 62227. Determine i(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1596 and 5396?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1015 + 5.0885. Let d = x + -5. Which is the biggest value? (a) 0.2 (b) 4\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -192.54 rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(90)*-4)\/(5*(sqrt(3) - sqrt(15)\/(sqrt(5)*2))).\nAnswer: -8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + f + 0*f)*(-1 + 1 + 2)*(3*f + 2*f + 2*f).\nAnswer: 70*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -1334*f**2\/5 + 882*f\/5 + 452\/5 = 0.\nAnswer: -226\/667, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.171 to 1 dp.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 5797467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2 - 2*s - 2. Let v(c) = 8 + 17*c**2 - 5 + 3*c - 11*c**2. Give 2*v(t) + 3*x(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 1. Let x = -4 + 24. Let c = -6 + x. Let d(w) = -w**2 + 14*w + 2. Let m be d(c). Calculate a(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196728 (base 10) in base 9?\nAnswer: 328766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 9057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12686, -12680, -12674, -12668?\n\"Answer: 6*j - 12692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 675 = -373 - 428 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9898 + 0?\nAnswer: 9898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-35) + ((-8)\/20 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 846, 1630, 2420, 3222, 4042?\n\"Answer: q**3 - 3*q**2 + 786*q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -799a3 - 0?\nAnswer: -799a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 542.52?\nAnswer: 5.4252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 3*i + 22. Let y be s(-6). Sort y, 0, -4 in descending order.\nAnswer: y, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -64. Suppose -4*y + 0*y - 48 = 0. Let v = y - o. Calculate the greatest common factor of v and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 28. Let r be u(-12). Suppose 8*n**3 - 79*n**4 + 10*n**r + 16*n**4 + 20*n**2 + 33*n**4 - 8*n = 0. Calculate n.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*m = -131*m. Let q(l) = l**2 - l + 9. Determine q(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88875 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 7:38 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/7 - 34596280*j**2\/7 - 4942326*j = 0.\nAnswer: -1, 0, 17298141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2 - 20*c - 2 - 247*c**2 + 251*c**2 + 27*c. Let o be ((-7)\/(-2))\/((-1)\/2). Let q(n) = 3*n**2 + 5*n. Give o*q(x) + 5*r(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 5. Suppose -g*r + 21 = -3*r. Let o(c) = 6*c**2 - 5*c + 17. Let m be o(3). Calculate the highest common divisor of r and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jggk when four letters picked without replacement from jgjgkggggg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.248 - 2.248. What is the closest to -6 in x, 3\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 1:05 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 8*w**2 + 7*w + 3. Let b be r(7). Let a = -11 + 11.8. Let y = -1.3 + a. Put 0, b, y, -3 in decreasing order.\nAnswer: b, 0, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:38 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4445 + 26749\/6. Find the common denominator of 26\/7 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (42\/(-4))\/(770\/308) - -18. Factor -3\/5*i**2 - k - 72\/5*i.\nAnswer: -3*(i + 1)*(i + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1735694829?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 49477*d**2 - 5 - 49475*d**2 + 2. Calculate l(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3\/3 - 3*o - 3. Suppose 14 = k - 2*n, -k + 8 + 4 = -n. What is the remainder when k is divided by v(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/((-8280)\/92)*488\/(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -1) + (5 - (24 - 23)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3770 - 3765. Solve d*w = z + z - 4, -w + 7 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 25*y**2 + 95*y + 745. Determine q(-15).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 110\/25) + (-2)\/(-5). Let r(f) = -f**2 + 16*f - 49. Let h be r(q). Are 2\/259 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83*6986.1\nAnswer: -579846.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + (-18 - -13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101989 is divided by 14489.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2. Let h(y) = -33*y. Determine h(f(b)).\nAnswer: 99*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**4 - 2\/3*q**5 - 22*q - 20*q**3 - 6 - 92\/3*q**2.\nAnswer: -2*(q + 1)**3*(q + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59*a**5 + 46*a**4*n**3 + 72*a**2*n + 20*a*n**2 + n**3 + 2*n wrt a?\nAnswer: -3540*a**2 + 1104*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -68 (c) 0.1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -488, -701, -894, -1067?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 2*a = -15. Suppose -20 = 4*j, 2*k - 4*j = 13 + a. Let h be k\/(-7) + (-2)\/(-42). Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.143654 in 2\/3, -2\/11, -1, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 3:42 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 2, -34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 16) + (-364 - -409)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4 = 3*o, 3*f + f - 3*o - 2 = 0. Suppose f*n = 2*w + 112, w + 29 = -5*n - 15. Which is bigger: -53 or w?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2917098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602717155.\nAnswer: 5, 59, 2043109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 23*q**3 + 9*q**2 - 17*q + 23. Let k(o) = 32*o**3 + 11*o**2 - 25*o + 35. Let g(f) = 5*k(f) - 7*v(f). Give g(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -193989216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.06 - -1.06. Let k = 8 + -2. Let d = k + -6.01. Is d greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 6785 + 6785. Let q(v) = 5*v**2 - 4*v. Let i(n) = 70*n**2 - 55*n. Let x(m) = 4*i(m) - 55*q(m). Give u(x(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w - 7*w + 4*w)*(-w**3 + 3*w**2 - 3*w**2) + 3*w - w + 29*w**4 - 4*w**4 in the form j + h*w**4 + f*w + v*w**2 + z*w**3 and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 89. Suppose 3*j = -0*j + q. Suppose -j*g + 5*z + 225 = -g, -2*g - 3*z + 217 = 0. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -2\/17, -0.2 in increasing order.\nAnswer: -0.4, -0.2, -2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*w**2 - 114*w**2 - 108*w**2 - 130*w**2 - 152*w**2.\nAnswer: -735*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a + 6*a**2 - 6*a**3 + 2 + 3*a**3 + 4*a**3 - 1. Let z be o(-7). Let p(q) = q**3 - 6. Let x(w) = -2*w**3 + 13. Calculate z*x(v) - 13*p(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:52 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u + 9. Let k(g) = g + 1. Let o(f) = -h(f) + 6*k(f). Let i be o(-2). Let y be (6 - 2)\/(i\/1). Solve -y*r = -3*q + 3, -q + 4*q + 4*r = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afs when three letters picked without replacement from yyfpyyypyayfsysyf?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -1022?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 210*t**2 - 327*t - 18506. What is i(208)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38462, 76802, 115116, 153392, 191618, 229782, 267872, 305876?\nAnswer: 343782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-7)*(-56)\/(-176).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1410678 and -13\/940452.\nAnswer: 2821356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503\/2 less than or equal to 2253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/480 and 61\/1152.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8468 = 3*l. Let u = 3323 - l. Suppose v - 7*v + u = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58857714?\nAnswer: 2, 3, 41, 173, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + (sqrt(2057) + -3 - sqrt(2057)) - sqrt(2057))*-3 + -5 + (sqrt(204)\/sqrt(4)*-1)\/(-1*sqrt(147)).\nAnswer: sqrt(17)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 215.9788 + -216. Let i = 20.0212 + m. Put 0.4, 0.3, i in increasing order.\nAnswer: 0.3, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 4250907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**2 + u**2 + 4*u**2)*((-5 + 1 + 2)*(-1 - 1 + 4) - 4 + 2 + 3) as l + s*u + q*u**2 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 9. Suppose -5*a + 4*z - 2*z = 0, -z = -2*a. Calculate s(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 397086144 and 99271536?\nAnswer: 397086144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.072 (b) 1 (c) 119 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 7 - (24 - 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 0 - 7)*(0 - 1 - 6)*((-1 + 5 - 2)*(n + n - 3*n) + 39 - 39 + 11*n)*(-3 + 4 + 1) as u + s*n and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 6*q**2 - 6. Let g be c(-6). Let h be (-8)\/(-6)*3\/2. Let w = h - g. Solve 0 + w = 4*j - 2*k, -3*j - 5*k + 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*u - 86 = -12, -13*t + 7 + 46 = 4*u - 104 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/25 or -2\/1493?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h**3 - 10959*h**2\/5 - 16632*h\/5 + 15972\/5 = 0. What is h?\nAnswer: -242, -11\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15 + -13)\/(-1 - 10\/(-14)). Let q be 8 + i + 5 - 5. Let a = 8 - 5. What is the closest to q in -5, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.09, 5, 466, 1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12076, 3932, 0.2?\nAnswer: -12076","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-46)\/14 - (-14)\/(-1)*(-2)\/7. Which is the third biggest value? (a) f (b) 7\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + 6 + -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -20706\/709 and -29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = 15. Let l be r\/3 - (1 + 15). Let d = l - -15. What is the remainder when 3 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 11*q**2 + 9*q + 11. Let f be z(10). Which is the smallest value? (a) -1 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 77. Let f be 66\/21 + -3 + 0. Put -3\/4, -2\/5, f, u in increasing order.\nAnswer: u, -3\/4, -2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475529281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 219*q = 224*q - 14, -4*y - q = 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.167 + 0.567. What is the fourth smallest value in 5, m, -1\/6, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:26 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10853, 10852, 10851, 10850?\n\"Answer: -q + 10854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 276 (c) -2\/41 (d) -3 (e) 32 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + f - 4. Let z(b) = -4. Suppose 4*j - 8 = -2*v + 6, 2*j + 4*v = -8. Let i = j - 8. Let u(l) = i*t(l) + 3*z(l). Factor u(g).\nAnswer: 2*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/12 + h**3\/3 + 2*h**2. Suppose x - 24 = -4*u, 0 = 3*u + 2*u - 15. Suppose 4*j - 10*j + x = 0. What is k(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 0.4 in decreasing order.\nAnswer: 5, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 73*v - 9. Let u be g(1). Let i(f) = -7*f**3 + 3*f**2 + 2*f - 1. Let b be i(-2). Does u = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-518)\/592*(-8)\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*v**2 - 3*b*v - 3019*v**2 + 27*v wrt v?\nAnswer: 4*b - 6038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/7 + 6\/(-21). Let j = -28.9 + 33. Let p = j + -4. Sort p, -0.1, v.\nAnswer: -0.1, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 11*p + 5. Let i be y(-12). Let g = -5 - i. What is the second derivative of -3*x**2 - 1 + 1 + g*x + 4*x**2 wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.60675 rounded to 2 dps?\nAnswer: -5.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 - -0.004. Round u to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -1\/2*i**4 + 0*i**3 + 8*i - 1\/2*i**2 + 0. Differentiate f(b) wrt b.\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68302 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/417 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 5*g**3 - 24*g**3 + 15*g**3 in the form p*g**2 + i*g + d*g**3 + f and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h - 7. Suppose -r = -3*r + 16. List the prime factors of d(r).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16567\/1289 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 127750.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 10. Suppose -3*p = c - 18. Let t = 6 - p. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92, -88, -84, -80, -76?\n\"Answer: 4*u - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -0*m + v, 37 = 5*m + v. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*x - 5*k, -2*x - 2*k + 21 = 3*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1920549 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**3 - 2 + n**3 - n**3 to p + b*n**2 + o*n**3 + j*n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 746?\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 3.721028?\nAnswer: -14.884112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.037 + -0.263. Sort -1, d, 5, -0.1 in descending order.\nAnswer: 5, -0.1, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -15 + 0 + (14 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 30. Let y be (-1155)\/c - (-3)\/7. What is the greatest common factor of 216 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12699335 at least as big as -12699272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0130661953 rounded to four decimal places?\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.1 + -16. What is the nearest to n in -0.2, 3\/5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2 and 67\/5987066?\nAnswer: 5987066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Suppose 5*f = 20, -2*c - 2*f - f + 14 = 0. Let a(g) = -1 + c + 0 - 4*g. Calculate a(u(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 530 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 1 - -22) + -150 + (232 - 79).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1768813 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -4, 1, 73.\nAnswer: -4, -2, 1, 2, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*k - 53*k + 14*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48754?\nAnswer: 2, 19, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/21 + (-135)\/(-7). Suppose 97*o - 1273 = -28*o + 58*o. Calculate the greatest common divisor of d and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - d - 42 = 0, 3*d = -7*w + 12*w - 106. Solve -20*q + w = -25*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 300434?\nAnswer: -300432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 12. Differentiate -37*l - 45*l - 3*l + t - 9*l wrt l.\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**9)**(10\/9)*d**(2\/35)\/d*d**(-2\/15))**(3\/20) assuming d is positive.\nAnswer: d**(937\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 37 = -3*r. Let q be (-2)\/r - (-4)\/(-18). Suppose q = 2*i + i. Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293174 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -741 and -325248\/439 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 116953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*a + 8 + 18 = 0, 5*a = 4*m - 29. Let h = m + 3. Suppose j - 95 = -h*j. Calculate the remainder when 92 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.81 - 0.31. What is the nearest to 0 in 0, 3\/2, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 48 + 56 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.04, 0.4, -1, 1.6, 2\/33, 5\/22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 4 = -42 - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1, -13, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 + 870*g**3 - 134136*g**2 + 8771328*g - 207152640 = 0. What is g?\nAnswer: 72, 111, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/14*(-8)\/18*57. Let i = -36 + c. Solve -2 = i*a + 2*t, a + t - 11 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3 + 833570*b**2 - 1667146*b + 833574 = 0?\nAnswer: -416787, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 7 + 1. Let b(k) be the first derivative of -3*k**g - 1 - 12*k**2 - 26\/3*k**3 - 2\/5*k**5 - 8*k. Suppose b(o) = 0. What is o?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 10*d**3 + 3*d**4 - 2*d**4 - 4*d**2 in the form j*d**2 + g*d**4 + h*d**3 + n + b*d and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 + 33. Let u(d) = -5*d - 2. Let a be u(-5). What is the derivative of -a + 0*x**c + x**4 + 4*x**4 + 22 wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by 77?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 11:04 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**7\/21 - 136*n**6\/45 + 4*n**5\/5 + 467*n**4\/9 + 167*n**3\/3 - 90*n**2 + 2571*n + 1. Suppose a(p) = 0. What is p?\nAnswer: -2, -1, 1\/3, 3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20021\/30 - 2024\/3. Find the common denominator of 41\/45 and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 798841345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -1646555\nAnswer: -493966.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.091 in 2, -8, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -42, -88, -152, -234?\n\"Answer: -9*u**2 - u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/56)\/(240\/(-56))*5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Suppose -2*a - 21 = 5*n, 5*a - 2*n = -n + 15. Let m(w) = w**2 - 5*w**2 - w**2 + 3*w**a. What is g(m(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -600.775 + 16.915. Let h = 456.2 + y. Let v = -126 - h. What is v rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose -h - 3 = -l. List the prime factors of (-8)\/(1\/h + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1374917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, w: 4}. Give prob of picking 4 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*q**2*r - 991*q**2 - 22596048*q*r - 1219*q + 8 wrt r.\nAnswer: 3*q**2 - 22596048*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14700b (base 13) to base 16.\nAnswer: 7a4bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 24*w - 67. Let k be b(-3). Sort -2, -32, k in decreasing order.\nAnswer: -2, k, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553083763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 9:19 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 22) + 9259\/470.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -392*p + 35*p - 17*p in the form z + v*p and give v.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b - 1. Let y be l(-1). Let m be 1\/y*0\/(-2). Solve -5*j + 3*t = -6, j + t + 3*t + 8 = m for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 2) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 - 22107*l\/4 - 11053\/2.\nAnswer: -(l + 1)*(l + 22106)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 3:49 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -12, 1.1, -0.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(sqrt(77)*-2 + sqrt(77))*-2)\/(-2*-1*sqrt(1331)*-1).\nAnswer: -12*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-9682)\/(-22) - 132\/1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -23*d + 70. Which is the second smallest value? (a) d (b) -1 (c) -1\/74\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125669759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 35*o + 865. Calculate the remainder when t(-44) is divided by 110.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + -7 + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 37, 36, 35, 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45122 times -0.01?\nAnswer: 451.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6*-698*9\/12. Let x = z - -700. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -26 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*v**6 - 2*v**5 - 390*v**2 wrt v?\nAnswer: -2160*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 196 - 195. Solve -w + l = -2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*77\/(32340\/72)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/315 and 6 - ((-4)\/(72\/(-15)) + 4).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 80\/3. Factor 0 + t*z - 1\/3*z**2.\nAnswer: -z*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.44 - -0.19. Let d = 0.05 + o. Let h = -0.4 - -0.3. What is the nearest to h in d, 0.5, 2\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-one quarters of a hour?\nAnswer: 1065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzuu. Give prob of picking 3 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*d**2 - d**2 - 6*d**2)*(3 + 2*d - 3) + 3*d**3 + d**3 - 5*d**3 + 405*d**3 + 13*d**3 + 1656*d**3 to i*d**3 + u + k*d + x*d**2 and give i.\nAnswer: 2069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 23207 - 242*i**3 - 23207 + 236*i**3 + i**2 - i**2.\nAnswer: -6*i**3 - 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + -2*sqrt(114))*-1)\/(5*(-2*sqrt(6) - sqrt(6))) - (-5*sqrt(19)*3 + sqrt(2736)*-3).\nAnswer: 764*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t. Let r = -1 - t. Let s(g) be the third derivative of -g**4\/24 - g**3\/6 + 2*g**2. Let n(h) = -3*h - 5. Calculate r*n(u) + 4*s(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*k + 5, -r + 3*r - 5*k - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90543095.\nAnswer: 5, 31, 449, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -11551.8?\nAnswer: 5775.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z - 2. Let p be t(-1). Solve -q = -p - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 36 = -4. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.08 and -9642878363.\nAnswer: -9642878362.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5716386 is divided by 1370.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 350, 788, 1316, 1934, 2642, 3440, 4328?\nAnswer: 5306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/17)*l)**(2\/121)*(l**7)**(-36))**(-21) assuming l is positive.\nAnswer: l**(10884132\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 13*g**2 - 23*g - 13. Let t(w) = 5*w**2 - 8*w - 4. Determine -6*p(z) + 17*t(z).\nAnswer: 7*z**2 + 2*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44970 and 942310374?\nAnswer: 8994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*m + 1. Suppose -4*n + m*i = -24, -2*n + 4*i = -0*n - 22. Let l(o) = -o**3 + 2*o**2 + 2*o + 2. Calculate l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15205 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*m**3 + 29*m**3 - 57*m**3 - 6*m.\nAnswer: 5*m**3 - 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 35. What is c(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2485, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/11, -0.07, 4, 1\/2667 in descending order.\nAnswer: 4, 1\/2667, -0.07, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5445911736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blpbl. What is prob of sequence ll?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r**3 + 6*r**2 - 4*r**3 - 4*r**2 to the form n*r**2 + p + h*r**3 + g*r and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 265.\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-327 - 479 - 32)*(1 + 1 - 1)*(-4*x + 5*x - 3*x) as y + j*x and give j.\nAnswer: 1676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j + 3. Let a(w) = 3*w**2 - 232*w - 1239. Let x be a(-5). Let z(o) = 1 - 4*o - 3 - 3*o. Calculate x*d(n) - 5*z(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 747.4 + -747. What is the smallest value in -0.3, t, -30\/7?\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2585243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3531089208 to the nearest integer?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 728 - 269. Let i = -310 + u. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 2, 9 in decreasing order.\nAnswer: 9, 7, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 15*a**2 + 60*a + 835. Give h(-15).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 + 190*w - 2462. Calculate k(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1998934 and 1988.\nAnswer: 3997868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -312.032*-0.129.\nAnswer: 40.252128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 70. Let y be 3\/(-14) + (-2)\/7. Which is the third smallest value? (a) y (b) -3\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**2 + 3*x**2 - 4*x**2 + (-3*x + 4*x - 2*x)*(-3*x - 2*x + 2*x))*(-6*x + x - 5*x) as p*x**3 + h + u*x**2 + c*x and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/16*4*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -332193, -334558, -336923, -339288, -341653, -344018?\n\"Answer: -2365*r - 329828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.10456 or -76738?\nAnswer: 0.10456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 36. Sort 4, -5, b.\nAnswer: b, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 412132 and 7419524?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (46\/(-5) - (-2)\/10). What is the highest common divisor of 88 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**4\/4 - 7*y**3\/3 - 4*y**2 - 8*y + 105. What is the second derivative of i(d) wrt d?\nAnswer: -6*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066340607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20310 (base 4) in base 12?\nAnswer: -3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -2*h. Suppose -3*z = -2*f + f + 14, 0 = f - 2. What is the smallest common multiple of (-2 - 3)*((-177)\/15 - z) and h?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0372734 and 1.8.\nAnswer: -0.06709212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10085 = -82*j + 87*j. Let n = j + -16111\/8. Calculate the common denominator of n and 139\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 14 - 6 = 0. Let w be (0 - -2) + 7\/n. Let y = 0.6 + -4.6. Which is the closest to w? (a) 1\/7 (b) y (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l + 1. Let s(b) = 2*b**2 + 2*b + 1. Let m be s(-1). Let v be u(m). Let a be (2\/2)\/(-9 + v). Which is smaller: a or -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -99\/2, 1\/7.\nAnswer: -99\/2, 1\/7, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + o + 5, -1 = 5*f - 4*o. Suppose -2*w - 30 = -3*q + w, f*w = -q + 6. Let x = 84 + -50. What is the remainder when x is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - -40 - 30) + 14\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 5. Let f be y(6). Suppose 0 = 5*m + 2*j - f, m = 4*m + j. Let s(l) = -15*l - 1. Determine s(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/(-12) + -4 + 10\/3. Find the common denominator of 10\/((-10)\/(-2)) + 10\/v and 23\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*t - 34 = 2, 0 = 5*v + 2*t + 45. Let f be 2*1*v\/6. List the prime factors of 10\/f*(-48)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.06.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -356 - -352. What is the closest to -1\/4 in -0.3, 1\/105, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89440, -89441, -89442, -89443, -89444?\n\"Answer: -n - 89439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23308353 a multiple of 1523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -285*n - 12259. Let f be t(-47). Calculate the greatest common factor of 2698 and f.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 69074 and 5658591.\nAnswer: 5727665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuhw when four letters picked without replacement from uuiuwiuiuwiohhu?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p + 75. Calculate x(25).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 9 = 2*m, 8*m - 15 = 13*m + 5*n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0813469 rounded to 3 dps?\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 343, 685, 1027, 1369, 1711, 2053?\n\"Answer: 342*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -239 - 233 + 490 + f. Let i be y(-12). What is the least common multiple of (-2 - 16)*i\/(-4) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j**2 + 510*j - 91. What is g(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*r + 4 - 52 = 0, 21*t = 16*t + 2*r + r + 68 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a + 10 = 24*a + 2*g, -5*a = -4*g - 2. Solve 3*l + y = -12, -3*l = 3*y - a + 8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + -3)*3\/(-5). Let s be -4 + 2 - (-3)\/1. What is the nearest to -0.3 in s, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223.2589 months in millennia?\nAnswer: 0.185271575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277657?\nAnswer: 277657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*o - 270, 4*z + 3*o - 540 = -o. What is the remainder when z is divided by 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(-2\/23)))\/h**(-7)*h**(-2\/3)*h*h\/h**6)**23)**(1\/6) assuming h is positive.\nAnswer: h**(155\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 10*t - 7. What is j(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 4*v = 13*s + 5544, s - 3*v - 5565 = 0. What are the prime factors of s?\nAnswer: 2, 3, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -444\nAnswer: -444.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 + 6 - 3. Suppose 0 = -u - 4, v*r + 3*u + u + 26 = 0. Let q be 44\/(-48) + r\/(-3). What is the nearest to q in 1\/3, 3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.426*-30\nAnswer: -1812.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -1. Suppose 98 + 4 = 6*n. Suppose -2*v - n = -3*c, -2 + 0 = 2*c + 2*v. Sort c, 1, i in decreasing order.\nAnswer: c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/37062 and 21\/41180?\nAnswer: 370620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from iplifffzpflpff?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2*s**2 - 11*s**2)*(2*s**2 + 0*s**2 + 3*s**2 + (2*s - s - 3*s)*(-s - s + 3*s)).\nAnswer: -36*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ette when four letters picked without replacement from etette.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 579 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/11 (b) -5 (c) 10\/331 (d) -0.5 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112992*m**3 - 76203*m - 1.\nAnswer: 677952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*u + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g + 39. Let q be w(39). Solve -1\/6*c**3 + q*c**2 + 1\/6*c + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12499260 by -4.\nAnswer: 3124815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.723835 weeks in microseconds?\nAnswer: 437775408000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114942?\nAnswer: 2, 3, 19157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14342357009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2001 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 784, 1563, 2340, 3115, 3888, 4659, 5428?\nAnswer: 6195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-3)\/(-12) - 915\/390.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 10:49 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.98 + 67.82. Let g = 74.2 - c. Put 0.2, g, 3, -2\/49 in increasing order.\nAnswer: -2\/49, 0.2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 936, 1874, 2812, 3750, 4688, 5626?\n\"Answer: 938*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*s**2 - 30*s**2 - 67 - 20 wrt s.\nAnswer: -50*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001455856 to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 143599660.\nAnswer: 1579596260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-10 + 1)) + (24 - -15 - 35).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + -104. Suppose i - 19 = -5*p. Suppose -3*w + 2*a = -2 - 47, -w - 2*a + p = 0. Is 15 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/(-24))\/(-7)*18\/1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(104)*-2 - sqrt(104)))\/sqrt(8) - (sqrt(39)\/sqrt(3)*2 - sqrt(39)\/sqrt(27))**2.\nAnswer: -325\/9 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1530\/1700)\/(1*126\/(-15)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -23\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51598846 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z. Let m be (8 - (0 - -7))*-17. Is -2 - (z + 0 + m) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 242 - 164. What is the remainder when 12\/i - 37\/(-13) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 + 493\/34)*((-1)\/3 + -1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12284888 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bidds. Give prob of sequence bisd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462127113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55452243 and 18484081.\nAnswer: 55452243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 5:46 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1924 - 1924.02. What is the third biggest value in -0.2, 0.16, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660461083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and ((-3)\/(-2))\/(-1 + 476\/464)?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 86 + 23 - 55 - 11*x + 11. What is s(13)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*f - 72*f - 7448. What are the prime factors of f?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-50)\/(-25))\/((-12)\/30). Let l = 10 + -5. What is the third smallest value in -2, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/8 + 15181005*g\/4 - 76820970936675\/8 = 0. What is g?\nAnswer: 5060335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**2. Let y(c) = 32 - 2*c**2 - 13 - 19. What is k(y(s))?\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 7551, -271 in decreasing order.\nAnswer: 7551, 1, -2, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -3*(-190)\/(-60))*(6 + (-140)\/21).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from {p: 4, s: 3, q: 4, r: 3, v: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1266 - -1266. Let r(s) = s**2 + 6*s - 7. Let v be r(-7). Is v less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 8:52 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1400 + 238*t**2 - 1400.\nAnswer: 238*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {n: 1, a: 1, w: 1, j: 1, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 11879, -4, 5 in decreasing order.\nAnswer: 11879, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2228*t**2 + 4407*t + 1. Calculate n(2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)*(5 - 5). Suppose f = 3*k + 81 - 84. Suppose 10 = 3*t - t. What is the smallest common multiple of k and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18941 by -18.\nAnswer: 18941\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that f**3\/3 - 1135*f**2\/3 - 4*f\/3 + 4540\/3 = 0.\nAnswer: -2, 2, 1135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -566.41 - -565.91. Let k be (-1)\/(-5) - (-2)\/10. What is the second biggest value in k, 1\/5, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381715 is divided by 3502?\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g - 2*g. Let p = 2 - g. Suppose -92 = -p*d + 38. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - c = 3, 10*c - 14*c - 12 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6195.3945 rounded to the nearest integer?\nAnswer: -6195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 338620?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 418 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-22 + -8 + -12 + -81)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 269 + -269. Let j(k) = -k**2 + k - 27. Give j(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5ce (base 15) to base 9.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 + o**3 - o**3 + (3*o**2 + 2*o**3 - 3*o**2)*(343 - 72 + 138) to h*o**3 + c + f*o**2 + g*o and give h.\nAnswer: 820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -12*z**5\/5 - 8*z**3\/3 + 7. What is the third derivative of p(i) wrt i?\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 26 = -5*j. Let n be (-2)\/(-2) - 7\/j. Sort -4, 2\/5, n in ascending order.\nAnswer: -4, 2\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -11260.8.\nAnswer: -22521.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/481, -0.4, -1\/10, -1\/45, -1\/3, 54?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 - 5)*((10*d + 3*d + 4*d)*(8 - 8 + 2*d**2) + d**3 + 0*d**3 + 0*d**3).\nAnswer: -560*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 3, -2731, -3\/7, 2, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1625*q**2 + 3257*q**2 - 1614*q**2. Let r(d) = 59 - 59 + 3*d**2. What is r(i(m))?\nAnswer: 972*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2068, 2102, 2154, 2230, 2336?\n\"Answer: g**3 + 3*g**2 + 18*g + 2046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from sssczcceukkeue?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -456183 divided by 557?\nAnswer: -819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144410 is divided by 1681?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00350027761 rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 19*k**2 - 223*k + 2466. Calculate m(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*h = 167*h - 252 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(16\/(-4) + -195)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-104)\/18)\/(-5 - (-14)\/3)*216\/96.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -282 - -136. Let z be k\/(-20) - (-3)\/(-6). Suppose 16\/5*n + 8\/5*n**5 + 56\/5*n**3 - z*n**4 - 44\/5*n**2 - 2\/5 = 0. What is n?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = 15*m - 136. Solve 3*b - 11 = -m*a - 32, 3*b + 6 = a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znggzdgzzzdngngmz. What is prob of sequence nd?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 80*y - 168.\nAnswer: 2*(y - 2)*(y + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -10) + 9 + -13. Let r = v + -3. Let q(t) = t**3 + 2*t**2 - 8*t + 4. What are the prime factors of q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 77703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 4:49 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -62*h**2 + 297*h - 3. Let a(z) = -z**2 + z + 1. Let w(x) = 3*a(x) + f(x). Factor w(o).\nAnswer: -5*o*(13*o - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i**2 - 9*i**3 - 1 + 8*i**3 + 2 - 9*i. Let q be j(-8). Let v(l) = -l + 11. Let c be v(q). Solve 2*z = 5*p + 36 - 13, -4*z + c*p = -22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17069888772 and 45.\nAnswer: 17069888817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 451811 + 22388 = 294305. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*n = -165*n - 168. What is the least common multiple of n and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q*q**(-2\/9)\/q)**(7\/6) assuming q is positive.\nAnswer: q**(56\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 789a83d - 5?\nAnswer: 789a838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.08, 0, -3\/2, 0.48, -0.3?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -y - 4*n, -14 = -3*y - 2*n - 0*n. Solve 8 = 3*d - y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 24*b.\nAnswer: b*(b + 96)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/12 of a century?\nAnswer: 1300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198.089 - 198. Let z = 13.4 - 13.4. Is w >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5492 divided by 2746.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 1 - 3*q**2 + 2*q**2 - q**3 + 2*q**3. Suppose 1085*t + 17 = 1068*t. Let w(b) = -8*b**3 + 6*b**2 - 6*b + 3. Determine t*w(f) - 6*s(f).\nAnswer: 2*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 7 + -17 + 0 + -2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -21 (b) -1\/5 (c) 1\/5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2937 - 32013 = -12*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, f: 2, n: 2, o: 1}. Give prob of sequence fnf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/174 and -113\/72480.\nAnswer: 2101920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x - 28 = 0. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = 9*a - 15028. Are 883 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - (-17 - -5)) + 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 2*c)*(4*c**2 - c**2 - 2*c**2) - 153*c**3 + c - 251*c**3 + 43*c**3.\nAnswer: -359*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 2\/(-3)*-3. Let a = 4.35 - 4.15. Sort a, j, 0 in descending order.\nAnswer: a, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m**2 + 71*m - 47. Calculate l(24).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(20) + sqrt(180)\/sqrt(324))\/(3*sqrt(256) + sqrt(4))*4 + -1)**2.\nAnswer: -28*sqrt(5)\/75 + 196\/1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-3))\/(-3) + -59. Let a = 107 + h. Suppose 0*n = -3*n + a. Calculate the remainder when 46 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 1. Let m = -1282 - -691. Let u = m - -593. Solve 23 = o*j - 4*y, -25 = 3*y + u*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*z + 25*z = 5*g - 35, -5*z = -25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h + 15. Calculate z(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 85990*w + 430000. What is m(-5)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/4 of a centimeter?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 10:23 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2428020 divided by -2870\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 20, -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13c + 11c29?\nAnswer: 11aba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4\/5, -2\/5, 0.19, 0, 1\/2872 in decreasing order.\nAnswer: 5, 4\/5, 0.19, 1\/2872, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 4*m**2 + 0*m**2 + 0*m**2 - 12*m**2 - 11*m**2 as y*m + d*m**2 + w and give d.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -21. What is the remainder when 43 + (0 + m + 3)*-1 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.532 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -4.9. Let r = -8 + y. Let s be 30\/36 + (-23)\/42. Which is the nearest to s? (a) r (b) -1\/6 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 212351, 424804, 637259, 849716, 1062175, 1274636?\n\"Answer: m**2 + 212450*m - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 12 = 5*x, w + w + x = 8. Suppose 0 = -3*m + 3*i + 72, m - 5 = -w*i + 19. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4)*(-16)\/(-9). Let u = -7\/57 + -31\/57. What is the closest to w in -1, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1007, 2022, 3049, 4094, 5163, 6262?\nAnswer: 7397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -f - 7*o + 2, 0 = -3*o + 9 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*r + 31 - 2*r + 10*r**3 + 56*r**2 - 21*r**3 + 13*r**3 wrt r?\nAnswer: 12*r + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -2*z - 6, 3*a + 2 = 2*a + 4*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68440 is divided by 351.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2\/9, -3, 1.4, 1590?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 + -1)*14\/21. Suppose 0 = -0*g - a*g - 28. Let h = -7 - g. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4268857?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(640) + -1*sqrt(640) + sqrt(640)))\/(sqrt(88)\/(sqrt(11) + sqrt(11)*2 + sqrt(11)) + (sqrt(16) - -2*sqrt(16))\/sqrt(2)).\nAnswer: -16*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 12) to base 5\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5190232 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4122.9807 rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1\/3, 1\/4, -6680, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -31) + (2 + -13 - (-6 + -8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**6\/2340 - 3*n**5\/130 + 27*n**4\/52 + 11*n**3\/6 - n**2\/2 - 6*n - 1. Let w(o) be the second derivative of b(o). Factor w(z).\nAnswer: 2*(z - 9)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1420 (b) -50 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -l**4\/12 - 64*l + 2. Let w(s) = -798*s**2. What is w(r(z))?\nAnswer: -798*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11112221 - 13?\nAnswer: -11112300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3679041 + -0.367\nAnswer: 3679040.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 26*m**3\/3 + 110*m**2\/3 + 128*m\/3 + 8 = 0. Calculate m.\nAnswer: -2, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94320 divided by 393.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 9 + 5)*(-2*g - 2*g + 6*g).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/11)\/2)\/((-5164)\/142010)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/12 + 5*w**3\/6 + 7*w**2\/2 + 14*w. Calculate c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 6*f + 4*f)*(29 + 4*f - 29) - 1 + f**2 + 1.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*l - 43*l = -24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + y = -18, y = -s - 3*y - 9. Let k(v) = -v**3 - 9*v**2 - 9*v - 6. Let d be k(-8). Suppose -l + 3 = d*f, -s = -4*f - 19. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 5, -14, 85 in ascending order.\nAnswer: -14, 2, 4, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 99 - 3a9c?\nAnswer: -3a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o + 64 - 187 + 61 + 64. Let t(l) = 3*l. Let p be (4\/6)\/(4\/6). Let b be t(p). Determine q(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - -1010?\nAnswer: 100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4881895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31300 + -1?\nAnswer: -31301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 8:10 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 313*q**2 + 0*q**3 - 6*q**3 + 314*q**2 + 2*q to h*q + v*q**2 + s + d*q**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 761 (c) -63 (d) 1\/20 (e) -2 (f) -5 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 2. Let t be p(-2). Suppose z + 4*w - t = 0, 4*z + 0*z = 2*w - 74. Let j = 20 - z. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8566 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 8.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5 + 1\/5*g**3 - 14\/5*g**2 + 5*g = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**8*h**(-12))**(-30)\/((h**0)**45*(h*h**(-3))\/((h\/(h**3*h))\/h)) assuming h is positive.\nAnswer: h**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*m = 265, m - 67 + 443 = 4*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-391)\/8602)\/(2 + 15\/(-6))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 9240.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.7089 + 0.6389. Let s = -195 - -232. Let w = s + f. Is -2\/5 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 - ((-10 - -4) + 3). What is the third biggest value in f, 2\/25, 9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5667442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111098?\nAnswer: 2, 13, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.094 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 568515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 85614463.57 rounded to the nearest one hundred thousand?\nAnswer: 85600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -20*p**3 + 326*p**2 + 4*p - 26. Determine m(16).\nAnswer: 1574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**4\/12 + 10*s**3\/3 + 10*s**2. Let a be y(-9). Let g = 26 + a. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 44*k**2 - 76*k + 322. Calculate m(-42).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))**(-7)*(q**(-4)*q)\/(q\/q**(-1\/6)))**(-5) assuming q is positive.\nAnswer: q**(125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 10*x + 15. Let s be f(-8). Let w = 206 + -199. Let g(o) = 20*o - 1. Let q(t) = -21*t + 1. Let y(u) = w*g(u) + 6*q(u). Give y(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3 - 1200*j**2 - 240000*j - 16000000 = 0.\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -11, -37, -75?\n\"Answer: -6*j**2 + 4*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 1. Let i be b(-4). Let c = 69 - 28. Let p = 46 - c. Sort -2, i, p in decreasing order.\nAnswer: p, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -28 + (-129)\/(-18)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**6\/30 + n**5\/10 - n**4\/12 + 44*n**2 + 5. Let s(u) be the second derivative of j(u). Factor s(f).\nAnswer: -2*f*(f - 1)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*y - 5 - 2*y**3 - 8 + 15 + 2*y**2 as x*y**3 + d*y**2 + k + l*y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 50*c + 137. Let m be h(10). Suppose -3*d - 281 - 356 = -o, o + 5*d = m. List the prime factors of o.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blly when four letters picked without replacement from lzyziblibiibiblbbiib?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*a - 25, 3*h + 17 = 4*a - 0. Let d be 27\/72 + 33\/a. Let 15\/2*j**4 + 6*j**5 - d*j**3 - 15\/2*j**2 - 3\/2*j + 0 = 0. What is j?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 2838.\nAnswer: 5676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 8*y - 7. Suppose 4*o + 50 = i, 77*i + 4*o = 81*i - 128. What is the remainder when u(-6) is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -328*b**3*z**2 + 2*b**2*z**2 + b + 2897*z**2 wrt b?\nAnswer: -1968*b*z**2 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 148060 and 6.1708?\nAnswer: 148053.8292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.23 + 19.07. Let a = -20.83 + w. Is 1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 117, -67, -271, -495, -739, -1003?\n\"Answer: -10*k**2 - 154*k + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -5 - (-1 - -1). Suppose 242*s = -29*s - 75*s + 1038. Solve -m*q = 3 + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.818 + -0.0113. Which is smaller: -0.1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2420913*0.49\nAnswer: 1186247.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 729.74 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 11 = -83. Let q(h) = -5*h - 37. Let c be q(-8). What is the highest common factor of j and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2892\/30 - (-4)\/(-10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*r + 100998 = 63*r - 103*r. What is the greatest common divisor of r and 543?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*j = -7, p - 6*p + 11 = j. Solve 5*u = 2*b - 2, 0 = -p*u + 6*u - 4*b - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -27*h + 1288. What is j(46)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1281.7 - -1270.7. What is the third smallest value in -7, -0.28, l, 4?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202 or -2612\/13?\nAnswer: -2612\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 5:19 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14417315087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/7 - 1156*n**4\/7 - 191904*n**3\/7 - 9837596*n**2\/7 + 191906*n\/7 + 1405536 = 0. Calculate n.\nAnswer: -336, -121, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.91961347 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 8*k**2 + 9*k + 8. Determine m(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a - 16. Let g(t) = -t + 14. Let r be g(0). Let s be x(r). Suppose -s*c = -16*c + 1032. Round c to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z + z - 3*z)*(217 - 78 - 956) + 0*z - 2*z + 3*z as g*z + q and give g.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1.3031.\nAnswer: -5.2124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*r + 49117*i**2 - 2*i + 22986580*r wrt r.\nAnswer: -2*i**2 + 22986580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 443320 + -443318. Factor -12 + 4\/3*a**u + 4*a - 4\/9*a**3.\nAnswer: -4*(a - 3)**2*(a + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 8*o**2 - 9*o + 4. Let q be w(9). Suppose 0*z + q*z = -5*m + 78, m = -5*z + 24. What is the remainder when 109 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 + 7*m**2 - 4*m + 25. Let p be c(7). Let g be -2 - 3*4\/(-3). Let u(y) = -y + y + g*y - 2. Calculate u(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 10 - (-6 + 4 - -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -1607, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.200863801 to 3 dps.\nAnswer: 4.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 40. Let f be t(18). Solve -f*p + 0 = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhkmkz. Give prob of picking 1 k and 1 m.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 2 + (9 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229178058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -0.3, 5\/17389, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(sqrt(120)\/sqrt(5)*1)\/(1*sqrt(128)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 18 + 2. Suppose o = 6*c - 209. Let f = -111 - -246. Calculate the remainder when f is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31627 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*z - 34*z = 77. Let u(x) = -160*x - 262. What is the tens digit of u(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 2*q**2 + 2*q - 1. Let z be n(-2). Let i = 6 + -4. Let v be (i - 12\/8)*10. Solve a = -v*b + z, -4 = 5*a - 3*b + 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 5:30 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 0*c - 36 = 0. Suppose -2*b = -4*o + c*o - 49, -38 = -4*o - b. Suppose 4*w - o - 3 = 0. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/8 + 3 + 0. Let o be 2\/1*1 - -4. Suppose -2*p + 0 = -o. Solve -5*g + 2*s = 4 - 13, -p*g + 9 = -z*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q**2. Let w(x) = -216*x**2. Give w(g(j)).\nAnswer: -5400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.037 + -72.037. Let t = o + 68. Is 2\/3 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szaslllallllaao. Give prob of picking 2 l and 1 a.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 10:46 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttu. What is prob of sequence tt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5\/3 - 455*y**4\/3 + 7352*y**3 - 305176*y**2\/3 + 1482512*y\/3 - 637840 = 0.\nAnswer: 2, 7, 10, 34, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w - 12*w**2 + 13*w**2 + 22 + 4*w. Let x be h(-10). Let c(d) = 2*d**2 + 4*d - 1. Let u be c(-3). Solve -u*m - x = 4*l, m = 2*m - 3*l + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -192 - -195. Suppose 4*s - p = p + 34, t*p + 44 = 5*s. Solve -2*c = s + 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200022 - -12?\nAnswer: -200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 91934465 and 175?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -5*q**4\/6 - q**3\/6 + 3*q**2. Calculate the remainder when l(-1) is divided by ((-2)\/4)\/1*-14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 2 = 4*t, 3*t = -126*b + 124*b - 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/4 + 14*s**3 + 81*s**2\/2 + 2*s - 13. What is y in l(y) = 0?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6254001 and 694889.\nAnswer: 6254001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 208913779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*v**3 - 8571281*v**2 + 458618443.\nAnswer: 75*v**2 - 17142562*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 639\/5 or 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -10*m - 212. Let d = m + 91. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, l: 1, p: 8, j: 1, m: 1, s: 1}. What is prob of sequence ppsp?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -13*x + 81. Let v be w(6). Let m(y) = 3*y + y**2 - y**3 - 5 + y**2 + 2 + y. Calculate m(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 h when four letters picked without replacement from {w: 5, h: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**2 + 4*d - 8. Let k(g) = -11*g**2 - 9*g + 17. Let z(v) = -13*f(v) - 6*k(v). Let i = -8 - -6. Determine z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 3, y: 5}. Give prob of sequence ey.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - g**2 + 1. Let u(r) = 10*r**3 - 5*r**2 + 3*r + 15. Determine -6*k(i) + u(i).\nAnswer: -2*i**3 + i**2 + 3*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Suppose -v*q - q = -9. Calculate the remainder when q is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n = -30*n + 1176. Calculate the remainder when n is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/4 + 5*p**3\/3 - p**2\/2 - 5*p - 2. Let i be g(-5). Solve -2 = -5*v + 2*v - 4*o, i = -o - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -853*u = -859*u + 18114. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from {i: 3, o: 2, a: 2, w: 2, v: 4, r: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2\/2 + 15672515*c - 31345035\/2 = 0.\nAnswer: -6269007, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - 0 - 1 - -1. Let q(k) = -147*k + 19. Let t(l) = -3198*l + 417. Let a(g) = -87*q(g) + 4*t(g). Calculate the smallest common multiple of a(u) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - z**4 + 2*z**5 + (-2*z**2 - z**2 + 0*z**2)*(-z**3 + 2*z**3 + 5*z**3) + 2*z**5 + z**4 - z**4 - 2*z**4 + 2*z**4 + 2*z**5 - z**5 - z**5 + z**5.\nAnswer: -13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -4335a19?\nAnswer: 4335a19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 25*v - 75. Let s be a(5). Let k(z) be the third derivative of -1\/24*z**4 - z**3 + s*z + 0 - 20*z**2. Give k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.014661579 - 7370105.\nAnswer: -7370105.014661579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11\/8 - 203\/136. What is the biggest value in 4\/5, t, -1\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -951, -45, -4051 in descending order.\nAnswer: -45, -951, -4051","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 3512?\nAnswer: -7\/3512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -2066544 and -2066544 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 0 - 1)*(3 + 2 - 7) - 4 + 10 + 6 + 4 - 1 - 2)*(2*h + 3 - 2 + 1 - 3*h + 5*h - 4*h + (-5 + 1 + 3)*(-h + 0*h + 3*h)) as x + y*h and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77847 is divided by 466?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 25*t = 30. Suppose 7 = z + 3*n + 2*n, 5*n = -5*z + 15. Suppose 3*b - 4 = -2*a, 0*a - 2*a = 2*b - z. Sort -7, a, t in ascending order.\nAnswer: -7, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/14213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.232 and 1.7.\nAnswer: 1.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22395914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56372 (base 9) to base 3\nAnswer: -1220102102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63950759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 366350 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 321145556 rounded to the nearest 100000?\nAnswer: 321100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 - 1 - (-7 + 15 + -8) is divided by 107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/1074 and 13\/5549?\nAnswer: 33294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80 - -80. Let i be (6 + a)*(-2)\/(-3). Solve i = 5*m + 3*n - n, 0 = -5*m - 4*n - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - j + 25 = 0, 0*b = -5*b + 4*j + 47. Solve 6*g = b - 31 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6*x*x**(2\/15)*x**(-1)\/(x**(-4)*x*x)*(x*x**(2\/3))\/(((x**4\/x)\/x)\/x)*(x*(x\/((x\/x**(-5))\/x*x))\/x)\/x*x*x*x**6 assuming x is positive.\nAnswer: x**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 907235*g**6 + 28193*g**2 - 1?\nAnswer: 108868200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 + 76.3. Let o = q + 4. What is the smallest value in o, 4, 0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2589, 2570, 2535, 2484, 2417?\nAnswer: 2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r + 1. Let m be q(-1). Let s(u) = -u**3 - 17*u**2 + 9*u - 43. Let o be s(-17). Let x = o - -198. Solve -5*w = -x*w - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2126*d**6 - 229*d**2 wrt d?\nAnswer: -255120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 12*w + 22. Let i be a(-22). Suppose -10*n - i = -11*n. What is the greatest common factor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/3)\/p**(-2\/23))**(-46) assuming p is positive.\nAnswer: p**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 = -6*g - 85. Suppose -7*a = -839 - g. What is the greatest common divisor of 188 and a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 1322180*o + 6610875.\nAnswer: (o - 1322175)*(o - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = -0. Let i = h + -21. Let f = -5 - i. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101100 - -10110?\nAnswer: -10100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -15*f - 174. Let w be a(-12). Suppose w*x - 4208 = 2290. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-11 + (36 - -2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7765203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - (-36 + 22 + -1) - (1 + 1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wemy when four letters picked without replacement from evmewymewsvm.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2121602, -8486384, -19094344, -33945482, -53039798, -76377292?\nAnswer: -103957964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -18203\nAnswer: 9101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26d + -19?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 800.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let l(g) = -81*g + 8426. Let f be l(104). Let m(h) be the first derivative of -55\/2*h**f + 0*h + 13. Give q(m(k)).\nAnswer: -110*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 7*f - 924. Let w = f - -154. Solve 12 = -w*d - 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275466552 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*x**2 + 241*x**2 - 92*x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccl when three letters picked without replacement from {i: 7, u: 2, l: 1, m: 3, c: 4}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4558 or 0?\nAnswer: -7\/4558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -107 + 61. Let c = -232 + 277.5. Let j = u + c. What is the nearest to 2 in 0, j, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 684 in 0.32, -0.2, -1\/11?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-44555)\/(-380) - 107)*8\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73321*z**3 - 73318*z**3 - 73305*z**3 - 73284*z**3 + 366582*z**3 - 73301*z**3.\nAnswer: 53*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9 - 7*c + 21*c - 4. Is a(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*i - 35. Let d = 0 - 0. Suppose d = -4*w + w + i. Solve -1 = -c - w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364693290 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 0.1, -66.4, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffufffuffffffuuf. What is prob of sequence fuuf?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-223 - -227) + (1 - (22 + (-1 - 0))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28837 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 0 + 43*v**2 + 0.\nAnswer: 41*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2 - 8 = 0. Suppose -h - 481 = -4*n, 363 = 5*n + m*h - 207. Suppose -4*v - 85 = -9*v. What is the highest common divisor of v and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140032 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142, -296, -450, -604, -758, -912?\nAnswer: -1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*v - 3*f, 6*v - 3*v + 4*f = -8. Suppose 17 - 67 = v*k + 2*a, 0 = 4*k + 5*a + 35. Is (-3159)\/k + 4\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-1 + 2)\/2). Let u = 0 - k. Solve -3*d + 8*d + 3*y + 3 = 0, 5*d - 4 = u*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.8196895 - -16.82. Round q to 5 decimal places.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9662983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.99 - 0.01. Let m = -0.4502 - 0.0498. Which is the second smallest value? (a) p (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**2 - 7*c - 5. Let f be i(-1). Suppose -y = -5*k - 30 + f, -k - y = 0. Let z = -3 - -2. Put 3, z, k in increasing order.\nAnswer: k, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16*k**2 + 6893*k + 335846. Calculate m(-56).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -913890 by -91389.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9451 is divided by 3005.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 137101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 v, and 2 d when four letters picked without replacement from {v: 5, d: 3, w: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:35 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 5, 1\/5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 3. Suppose z*s - 326 = 9*s. Suppose 3*p + x - 242 = 0, 0 = 2*p - x + 2*x - s. List the prime factors of p.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 5*k**2 + 7*k + 2. Let i be m(-5). Let n be (-4)\/22 - ((-525)\/i)\/(-5). Solve -3*v + 2*v = 2*t, -4*v + n*t + 22 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2778*a**2 - 789*a = 0?\nAnswer: 0, 263\/926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -859.5 - -0.6.\nAnswer: -858.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.9. Which is the closest to -1\/3? (a) x (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118976 by 29744.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19519 - 19519.2. Which is the biggest value? (a) -0.69 (b) -0.3 (c) -0.5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272342208 divided by 8510694\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -93144100 divided by 100?\nAnswer: -931441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 68637.16ng?\nAnswer: 68.63716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -94338*((-10)\/3 + 17 + -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/306619?\nAnswer: 2\/306619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 591, 673, 705, 681, 595, 441?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 312 and 5252?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156.83 + 152.83. Let m = 51.13 - 1.13. Which is smaller: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 7*n - 112. Let z be v(-9). What is the third derivative of z*c**2 - 43*c**4 - 340 + 340 + 191*c**4 wrt c?\nAnswer: 3552*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*v = -28143869 - 18595370. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*t + 12. Let u be (18052 - 0)\/(t\/18). Let n = u + 26834. Round n to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-989394314\nAnswer: -989394313.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/22)\/((-1335)\/(-171325))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.25. Let g = -0.284 - p. What is g rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29329 + -29226.167. Let i = 0.167 + z. Let y = -107 + i. Which is the closest to 0.1? (a) -0.06 (b) -3\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14275 and 1713.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + c - 5*c - c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 14 - 4 = 0. Let f = 5 - 3. Let v = f - q. Solve y - v + 0 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2881 - -2891. Solve 25*x = h*x - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srsspgvspppgvsrvpps. Give prob of picking 2 g, 1 s, and 1 v.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.5 - 3.5. Let y = q - -14.9. Let a = y - -0.1. What is the second smallest value in -4, a, -4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5 = -530*u + 531*u - 28, -113*u = 5*o - 153 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.038 and 0.5?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.1 - -0.9. Let s = f + 5.2. Let o be -2*4\/18*-3. What is the third smallest value in s, 1\/6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124332 (base 5) to base 2\nAnswer: 1001101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 67*b**2 - 61*b - 495. Give f(68).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 18*b + 48. What is the hundreds digit of l(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:21 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1106 = 11*n + 147*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3428 or 202264\/59?\nAnswer: 202264\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p**3*y**6 - 2*p**3*y**5 - 6*p**3*y - 2*p**2*y**2 + 2*p**2*y wrt y.\nAnswer: 600*p**3*y**3 - 120*p**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -912*f**3 + 10330*f**2 + 2*f - 10505771?\nAnswer: -5472*f + 20660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 341 - 794.9. Let h = g + 454. Is h bigger than -89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 904 + 868 - 18 - 364 - 515*k - 507*k wrt k.\nAnswer: -1022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l - 4. Let f(y) = y - 7. Let j be f(5). Let t be (j - 0)\/(8\/(-12)). Sort l, 5, t in increasing order.\nAnswer: l, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15718, 16071, 16658, 17479, 18534?\n\"Answer: 117*p**2 + 2*p + 15599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5291117417?\nAnswer: 17, 31, 2647, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310610 is divided by 51767?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3174, 22682, 75642, 178782, 348830, 602514, 956562, 1427702?\nAnswer: 2032662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 + d**2 + 46. Let g be c(0). Suppose 4*t + 36 = 11*l - 10*l, 2*t + g = l. What is the highest common factor of 16 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l - 6. Let u(c) = c + 1. Give -s(k) - 3*u(k).\nAnswer: 8*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 2*k - 167, 3094*n + 137 = 3098*n - 5*k for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5924 - -22106. Let u = -521 + y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 52395.\nAnswer: -1\/52395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -12 (c) 223 (d) -1\/8 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 823 (b) -5\/16 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -6. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 49 = -y - 7, -2*l = 2*y - 112. What is the highest common factor of 42 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, r: 10, u: 4}. What is prob of sequence rru?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190626.21us to hours.\nAnswer: 0.000052951725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 182\/13 + (1 - -4). Suppose -q*w = -453 - 3. What is the least common multiple of w and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478252007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/9 + 28\/10*395\/158. Suppose 2*j + 2 - 4 = 0. Which is the nearest to j? (a) -2 (b) q (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let d(r) = -2*r**2 - 1543. What is d(w(m))?\nAnswer: -8*m**2 - 1543","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -2\/13, -1\/2, 184, 9, 0.3, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4))**(-4)*(p\/p**12)\/p**(-9))**(-14\/3) assuming p is positive.\nAnswer: p**(-196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*j - 3540 = 0, h + 373 = -3*j + 3898. Let z = 5080 - h. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.8 minus 259.09?\nAnswer: -262.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -453e8 - -1?\nAnswer: -453e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 15*o + 11)*(3 - 6 + 9).\nAnswer: 90*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 150*m**4*v + 7*m**3*v**2 - 195*v**2 + 87*v wrt m?\nAnswer: 600*m**3*v + 21*m**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8712885 divided by -3\nAnswer: -2904295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -12*w + 56. Solve 0 = -2*z - 0*v + 4*v + w, 3*v + 13 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8492)\/(-736) + -11 - 32\/(-368))*4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32556\/180 - (-8)\/60. Let p(z) = 184*z**2 + 3*z - w*z**2 + 3*z. Let x(f) = 3*f**2 + 7*f. Give -7*p(d) + 6*x(d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 3*k**2 - 5*k. Let n be 418\/19*(-1)\/2. Let y = n - -15. What is q(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*r + 25. Suppose 0 = 3*m - r*m - 24. Let u be (-3 + m)*(-3)\/5. What is the highest common factor of u and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 9. Suppose -s*u = -4*u - 5. Let t(l) = l + 5. List the prime factors of t(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 5. Suppose 3*w + 5 = 2*g - 8, -y*g + 3*w + 19 = 0. Suppose -16 = -g*l - 0*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 7*w - 7*w + 4 = -4*w + 8*w, 5*t - 7*w - 41 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 277747750 rounded to the nearest one million?\nAnswer: 278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 + 5626882*d**2\/9 + 11253770*d\/9 + 5626886\/9 = 0. Calculate d.\nAnswer: -1, 2813443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 558 - 1. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*j**2 - 20*j - 8*j + 4*j + 67*j**2.\nAnswer: -j**2 - 24*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005983924 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/174 and -26\/9.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 48*r**2 - 50*r - 48. Give f(-49).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 2\/3 (c) 29685\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ezez when four letters picked without replacement from zzzzzzeezzzzzzez.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 8*o + 7 = -10*o, -4*o = -5*b + 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -238a10 (base 13) to base 3.\nAnswer: -1121001121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 - 3918. Let s = 15364 + k. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2591 - 0.4.\nAnswer: -2591.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15188095 is divided by 644?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12693, 13748, 14793, 15828?\n\"Answer: -5*t**2 + 1070*t + 11628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5450163kg in tonnes?\nAnswer: 0.0005450163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3382081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3568, 3850, 4132, 4414?\nAnswer: 4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 40*y**3 - 165*y**2 - 20*y + 220.\nAnswer: 5*(y - 11)*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*r - 102586 = 1388*r - 5906 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = s - 6*s, -s = k - 8. Suppose 2*n - 4*n + k = 0. Is 20\/n + (-5)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -13438127 and 0.3?\nAnswer: 13438127.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 856915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v - 60 = 0. Let q = -152 + 154. Suppose n = -q*n + v. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 156197)\/(20\/(-28) - 36\/126) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + ((-1)\/2)\/((-4)\/240). Let i = -18 + g. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(3 + (1*sqrt(1300) - sqrt(1300))))**2.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v. Let n(c) = 82*c**2 + 81*c**2 - 167*c**2. Give n(h(m)).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -40532000 rounded to the nearest 100000?\nAnswer: -40500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11425 - 11430. Suppose 0 = g - 3. What is the fourth biggest value in g, 2\/15, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(132) - sqrt(132)) + sqrt(132) + sqrt(132))\/(sqrt(84)\/(sqrt(175) - sqrt(7)) - sqrt(12)).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 3.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 + 0*d**2 - 3*d**2 + (2 - 3 + 0)*(3*d**2 - d**2 - 4*d**2) + (-24*d - 4 + 4)*(-4*d + 2 - 2))*(0 + 1 - 5)*(3*d**3 + 3*d**3 - 5*d**3).\nAnswer: -388*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 292 - 292. Let i be -1*0\/((-4)\/2). Solve v + c*v - 2 = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - o - 2. Let r be w(0). Suppose 0 = -2*z + z. Let b = z + r. Let u(p) = -p**3 + p - 1. Calculate u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-3))\/((-1)\/(-3)). Suppose -12*v = -10*v - 2. Suppose 2*p + v = -1, q*p = -2*s. Solve 2*k + 0 - s = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*v + 8 = 0, 2*h = -0*v - 3*v + 8. Let p(q) = -q - 3. Let t be ((-9)\/(-4))\/(21\/(-56)). Let c be p(t). Sort h, 2, c in ascending order.\nAnswer: h, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 11*j**2 + 2*j - 1. Let m be l(-3). Suppose s + 14 = 4*q - s, -22 = -5*q + s. Suppose g + q*a - m = 0, g - 4*g = 5*a - 236. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269514.\nAnswer: 2, 3, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 0.7. Which is smaller: s or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594500551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {d: 1, c: 1, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 3*x**2 - 9*x - 7. Let c be f(5). Let r(s) = 2*s**2 - 2*s + 1. Determine r(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 123. Let a = 2 - -10. Suppose -2*i + 4 = -a. Calculate the greatest common divisor of n and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12862\/25 + 12927\/25. Solve -1\/5*c**2 + p*c - 22\/5 = 0 for c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -147. Calculate the common denominator of -73\/24 and (-28)\/(-162)*((-27)\/h - 3).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*c - 26 = -6*f, -2*f + 11 = 4*f - 4*f - c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 + 17*z**2 - 2*z + 5. Give u(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x - 38. Let g be c(5). Solve -g*j - 23 = -5*t, -4*j + 4*t = t + 25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21109*f + 21113*f - 22 = -3*o, 2*f + 3*f + o = 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 4. Suppose 0 = -6*b + 9*b + 15. Let m(h) = -6*h - 12. What is the remainder when m(b) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 13, -6, 4 in ascending order.\nAnswer: -6, -2, -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 10. Let d(y) = -9*y + 20. Let r(s) = 4*d(s) + 7*h(s). Let g be r(7). What is the second derivative of -3*l**5 + 2*l + g*l - l wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -9*s + 158. Let v(o) = 27. Let m(g) = -5*v(g) + z(g). Determine m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7611 (base 8) to base 12.\nAnswer: -2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/((-2088)\/203))\/(1*-1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 z, and 1 i when three letters picked without replacement from {n: 4, z: 2, i: 2, b: 1, x: 10}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34252, -34139, -33958, -33715, -33416?\nAnswer: -33067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-153)\/18 + 8 - (-33)\/2. Solve 3*q = -2*l + 7 - 2, 0 = 4*l - s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 4*q + 48. Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**2. Let i(n) = n**2 + 7. What is i(s(f))?\nAnswer: 16*f**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0061273 kilograms?\nAnswer: 0.0000061273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -90, -173, -284, -423?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 565637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -1, -4, 915, 6, 5 in increasing order.\nAnswer: -4, -3, -2, -1, 5, 6, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*a + 25 = 0, -8*n + 3*a = -9*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3193.7 to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 868 and 344001.\nAnswer: 42656124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9205630 divided by 131509\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 59*x**2 + 3*x**2 - 16*x**2.\nAnswer: -73*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*i**2 + 222*i**2 - 109*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38041*t**3 + 72*t**2 - 5*t wrt t.\nAnswer: -228246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 2*f**2 - f + 6. Let x(a) = -3*a**3 + 2*a**2 + a + 8. Let p(i) = -2*b(i) + x(i). Give p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a**2 + a**2 - 17*a**2)*(0*a - 6*a + 3*a + (-2 + 3 + 3)*(-2*a + 4*a - a)).\nAnswer: -23*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 12\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.52705 - -0.52. Round o to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.920658 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-110))\/(-4)*-2*1*9.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 564 * 62.155.\nAnswer: 35055.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9322256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 98056644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1457514 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15436 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c - 32 = -4*j, -37 = -5*j + c. Suppose 0 = j*y + 105 - 112. Suppose y = -x + 3*l - 7, 6 = 2*l. Is x >= -1\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 2*b - 42, 64*z - 54 = 62*z + 5*b. Calculate the remainder when 47 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 4. Let t = -4 + 4. Let z be m(t). What is the units digit of 2\/z*(42 - 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33938, 33948, 33958, 33968, 33978?\nAnswer: 33988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let g be f(6). Let w be 4\/g - (31\/6 + 1). Which is smaller: -5 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p - 2. Let n be w(4). Let l be (-22)\/33 + (-40)\/n. Suppose 0 + 2\/7*q - 4\/7*q**2 + l*q**3 = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*k = 114*k - 512. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((80\/6)\/(-2))\/((-256850)\/105075)?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 391 + 64 = 0. Suppose -4*l = -95 - b. What is the remainder when l is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 93, -5 in descending order.\nAnswer: 93, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77554.42 centimeters to kilometers.\nAnswer: 0.7755442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.270478 - 0.4.\nAnswer: -0.670478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, 66, 260, 632, 1242, 2150, 3416?\n\"Answer: 10*r**3 - r**2 + 9*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(2*sqrt(1400) + sqrt(56) + sqrt(504)\/sqrt(144))\/((sqrt(192)\/sqrt(4)*-3)\/sqrt(6)).\nAnswer: -75*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4*-2*-16. Let k be (-720)\/d*(-4)\/6. Let c = k - -3. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 509.81 - -1.19. Let h = -335 + x. Let j = 176.00117 - h. Round j to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -2*(-1 - -2). Let v(g) = 2*g + 6. Let f be v(p). Suppose f = -b + 4*u + 419, 7*u - 2*u - 1613 = -4*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 55.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/48 + (1 + 64)\/(10 - 4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -492*o - 494*o + 975*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -389020\nAnswer: -1\/77804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 10*b - 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-9) - 0)*300\/40. Let q be (11 - 3)*n\/16. Solve -2 = -q*x - 5*p + 13, -p = 2*x - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:56 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshsyhyhhyhy. Give prob of sequence hsh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 3:07 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*((s**(-1)\/s)\/s)\/s*s)\/(s*(s*s**(-4\/23))\/s))\/(s**(3\/20)\/((s**(-23\/5)*s)\/s*s)))**(-37) assuming s is positive.\nAnswer: s**(18981\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13200 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0755 * -54.\nAnswer: -58.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 409, 820, 1231?\n\"Answer: 411*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1236774827?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4628, 3, 0, -2 in increasing order.\nAnswer: -2, 0, 3, 4628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 247935956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-19)\/(-95))\/(1\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 12. Let j be u(5). Suppose 0 = o + j*o - 4. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 65, -165, -473 in decreasing order.\nAnswer: 65, 0, -165, -473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*g + 121*g - 51*g + 129*g)*(-3*g**3 - 4 + 4) in the form z*g**4 + o*g + s + c*g**3 + h*g**2 and give z.\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iwwwwwwiw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5925 or 2\/6229?\nAnswer: 2\/6229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -25. Let u be 3 + (0\/(-2))\/3. Solve 4*c = -3*d + 20 - h, u*d = -5*c + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 6:07 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/49664 and -95\/32?\nAnswer: 49664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {i: 4, y: 5, g: 4, p: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2\/3 - 1). Suppose 0 = 44*l - 121 + 33. Suppose 0 = q + l*q - 4*s, 0 = 3*q + s. Sort 3, q, p.\nAnswer: p, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/(-6)*(829 + -827).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 16. Let u be q(-8). Suppose -d + 14 = -3*d. Are u and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 176\/206169?\nAnswer: 176\/206169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = 45 - 31 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19291 and 1200053?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5243 and -1775?\nAnswer: 7018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1074 - -1070. Let h = -17.66 + -0.34. What is the fourth smallest value in 3\/7, g, -1, h?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255564460 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**9\/1008 - m**5\/40 + 2*m**3\/3 - 2. Let o(s) be the third derivative of b(s). What is the second derivative of o(g) wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 14*a + 7. Let x(b) = b**2 + 20*b - 10. Give -7*u(p) - 5*x(p).\nAnswer: 2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j - j)*(0*j + 2*j - 3*j) - 36*j**2 - 46*j**2 + 80*j**2 - 71 + (3*j - 2*j + 0*j)*(-10*j - 9*j + 11*j).\nAnswer: -11*j**2 - 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 1358*z - 5421. Calculate p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249 and 13575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -2*x - 34, 4*i - x + 104078 = 104080 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825322 + 296307 - 3*t + t + 947227.\nAnswer: -2*t + 2068856","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22.5 + -22. Let h = -3.5 + v. What is the nearest to 1\/4 in 0.4, h, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 279, 13, -937, -2 in ascending order.\nAnswer: -937, -2, 13, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*96\/3120)\/(4\/6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/19 + -13\/57. Suppose h + 4 = -0. What is the closest to -0.1 in 1\/5, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 - -53. Suppose 4*r - 4*t = -5*t + u, -3*t = r - 15. Solve 0 = -6*h - 9 + r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b**2. Let l(z) = 10*z**2 + 17*z**2 + 26*z**2 + 43*z**2 - 139*z**2. Determine l(m(v)).\nAnswer: -1075*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46551359.\nAnswer: 41, 173, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 153\/236 + 6\/59. Let i be 1*-4 - (-2)\/(-2). What is the second biggest value in i, m, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24896795090 - 24896795090 + 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 387524717974 take away 0.4?\nAnswer: 387524717973.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 28*k - 23*k. Let c = -1.1 - 61.9. Let m = 45 + c. What is the second biggest value in m, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.33 + -183.67. Let a = p - -184.129. Round a to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**3 - 20*i**2 - i - 2. Let n be s(-4). Let a be 6\/4*8\/3. Suppose o - 6*o - a*d + 662 = 0, 526 = 4*o + n*d. Does 26 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 393, 0.2 in ascending order.\nAnswer: -1, -0.2, 0.2, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -717*s**2 + 52*s + 35. Let l(x) = x**2 + 23*x. Let r(q) = -i(q) + 2*l(q). What is the second derivative of r(v) wrt v?\nAnswer: 1438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66, -70, -74, -78, -82, -86?\n\"Answer: -4*w - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 51*v - 138. Give z(-48).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v + 13. Let l be z(-19). Let a = l + -48. Solve -a*t = 5 - 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31480 or 8?\nAnswer: 31480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -435 + 79146611\nAnswer: 79146176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 5*x + 5. Let i be b(5). What is the highest common factor of 50 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 5*b**2 + 4*b - 7. Let p be 6 - (-2)\/(-8)*4. List the prime factors of z(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*c + 2*r, -4*r + 2*r = 4*c - 88. Let o = -19 + c. Suppose -5*l = -15, -p + 219 = o*p + l. What is the greatest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 8)*(-1)\/3. Let n be ((-10)\/(-6))\/((-1)\/d). What is the units digit of 72\/30 + 2\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.9 - 9. Let y = -4 - k. Which is the nearest to y? (a) -1 (b) -2\/9 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-2) + -1)\/1. Let v be (1\/2)\/(u\/(-576)). What is the highest common divisor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2380 divided by 2\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 0*y**2 + 0*y**2 - 4*y**2 + 3*y + 2*y**2. Let m be c(4). Let n be 88\/m + 2\/5. Let w(t) = -t**3 - 5*t**2 - 4*t + 1. Give w(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8514 and 645?\nAnswer: 42570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79450*q**3*u + 631*q**3 - 24269*u + 2006 with respect to q.\nAnswer: -238350*q**2*u + 1893*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 7*n**2 + 6*n - 2. What is d(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m - 3. Let r be b(9). What is the greatest common factor of 168 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87967 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7700\/(-3080)*184\/10.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-10))\/(2\/10). Let v(h) = -h + 2. Let m(j) = 4*j - 9. What is z*v(g) - 2*m(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 - 1546*p + 803848 = 0. Calculate p.\nAnswer: -1129, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 892840 to the nearest 10000.\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (12 - (-4 + 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) + -1)*-5 - (sqrt(112) + (sqrt(112) - (sqrt(112) + 1)*-6)))**2 + (2*(-4 + -2*sqrt(7) - (-4 + 2 + sqrt(7))))**2)*-5.\nAnswer: -95985 - 760*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 1, -4, 2 in ascending order.\nAnswer: -4, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -26 (b) 1 (c) -0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.7*25388.\nAnswer: -195487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*b**2 + 4804*b - 190008.\nAnswer: 4*(b + 234)*(6*b - 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - f**2 - 2*f**2)*(-3*f - 1 + 1)*(29 + 38 - 17)*(4 + 2*f - 4).\nAnswer: 300*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 smaller than 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 90*i + 515. Let q be o(-6). Sort 0, 1, q, 5 in decreasing order.\nAnswer: q, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1*(-8 + 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 19332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 32*j - 220. What is y(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 6. Let z be (-1)\/2*-2 + 1. Let n = -214 + 211. Put n, s, z in descending order.\nAnswer: s, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 10\/19 (c) -1.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 62*y + 265. What is the tens digit of o(-38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 11 - 254 = 0. Let i(f) = -3*f - 12. Determine i(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465721956 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:29 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-702)\/(1458\/(-54))*-4)\/(2*1)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(343)*1 + sqrt(343)*-2 + -3)*-1)**2.\nAnswer: 3360*sqrt(7) + 137344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 21\/148636 (b) -2\/7 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -138.\nAnswer: 1\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5979, 5102, 2749, -1818, -9337?\n\"Answer: -123*b**3 - 16*b + 6118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 884 - 882. Suppose 8*r**2 - 12*r**3 - 12*r + 62*r + 32 + 21*r**3 - 8*r**3 + 11*r**u = 0. What is r?\nAnswer: -16, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(1053)*-4)**2.\nAnswer: 606528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 174*r**2 + 2 - 3.\nAnswer: 174*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + w = -2*w + 9, -2*t + 2*w = 4. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -30*i - 8. Let f be g(-4). Suppose 23 = 5*w - 12. Suppose f = -0*q + w*q. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 + 0)*(-14 + 4*w - 9 + 14) - 60*w - 57*w + 48*w as j*w + k and give j.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8244.18524 rounded to the nearest integer?\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v**2 + 20*v + 40. Let j(l) = -l**2 - l - 2. Let f(s) = a(s) + 20*j(s). Let y(h) = 23*h. Determine y(f(k)).\nAnswer: -115*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11715777.\nAnswer: 3, 631, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 0. Let t = b - 10. Let v = -877\/561 + 89\/51. What is the third smallest value in v, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19158, -19147, -19124, -19083, -19018, -18923, -18792?\n\"Answer: m**3 + 4*m - 19163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 - 304. Let n = 14 - v. Calculate the greatest common factor of n and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1664544.3 months to centuries.\nAnswer: 1387.12025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(18\/(-3)))\/((-2)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 535, 830, 1125?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u - 83*u - 13428 = -4*q, 3*q + 2*u - 10082 = 0. Calculate the remainder when q is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 21, 4, -7.31, -2, -1.6 in ascending order.\nAnswer: -7.31, -2, -1.6, 0.1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 71610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*g**4 + 12595*d*g**2 + 2*d*g + 4772*d wrt g.\nAnswer: -24*d*g**2 + 25190*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 145943911*u**6 + 7*u**2 - 4934710*u?\nAnswer: 17513269320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037579 to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95433 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:18 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + -3 - -4)*(-8 + 0). Suppose -3*z + 7*z = y. What is the greatest common divisor of 36 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/13 - 432*r**4\/13 + 2222*r**3\/13 + 204*r**2 = 0.\nAnswer: -221, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146554 is divided by 347.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/12 + (-30)\/(-8). Let u be b\/(-9) + 13\/3. Suppose 2*a = -4*r + 16, 0 = -2*a + u*a - 4*r - 56. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 450639280 divided by -1739920?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 13*u + 1. Let g be n(-2). Let q = -8 - g. Let f = -14 + q. What is the least common multiple of 1 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12, 50, 176, 360, 596?\n\"Answer: -b**3 + 38*b**2 - 45*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a factor of 718182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 193, 256, 375, 568, 853, 1248, 1771?\nAnswer: 2440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 - 2*u**2 + 1 + 7.\nAnswer: 3*u**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146014409 to the nearest integer?\nAnswer: 12084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 8:16 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20821.06 meters in kilometers?\nAnswer: 20.82106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (63318284\/16)\/(18\/(-4)). Let a = y + 1751127\/2. Let c = a + 3861. Find the common denominator of c and -32\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 354?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-16 - (-8 - -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(242) + -5 - (sqrt(242)*-4 + -3)) + -4)**2.\nAnswer: -990*sqrt(2) + 6131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**4\/8 - 4138437*r**3\/8 + 583559379*r**2\/8 - 27427913751*r\/8 + 107427215445\/2 = 0.\nAnswer: -1379620, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 670923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**4\/4 + 7*h**3 + 5*h + 20. Let w be z(-21). Solve 0 = -t - 3*o + 2, 2*o - 28 = -5*t + w*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 2. Let q be 3\/6 + 1\/p. Let z be 0*(-1 - q - -1). Is 4\/3 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 1300. Let d(x) = -2*x. Give a(d(t)).\nAnswer: 8*t**2 + 1300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -41*p**2 - 38*p + 44. Let u(n) = 4*n**2 + 2*n + 1. Let c(s) = -k(s) + 2*u(s). Let v(z) = -z + 1. What is c(a) + 42*v(a)?\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = t + t. Let i(r) = -t - 11*r + 24. Let h(m) be the second derivative of m**4\/6 + m. What is h(i(w))?\nAnswer: 242*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 28. Let z be (15 - c)\/((-1)\/4). Let f = z + 45. Sort f, 3, 5 in ascending order.\nAnswer: f, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -3 (c) -593397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/3, -3\/5, 171, -0.51, -14?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 15259400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52101.\nAnswer: 3, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 1086, 1616, 2128, 2616, 3074?\nAnswer: 3496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3820 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 16616.554 to the nearest one hundred.\nAnswer: 16600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 10*j**2 + 8*j - 3. Let i(p) = 11*p**2 + 9*p - 2. Let h(z) = 3*i(z) - 2*s(z). Find the second derivative of h(o) wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66268*r**3 + 54103*r**3 - 133283*r**3.\nAnswer: -12912*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 15*g**2 - 15*g - 6. Let s be z(-14). Suppose s*v - 10530 = -7*v. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1868298971 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*v**5 - 5*v**4 + 438*v.\nAnswer: 340*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -896*n + 10416 = -875*n. Calculate the smallest common multiple of 8 and n.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 188746564 to the nearest integer?\nAnswer: 13739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 69559 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i**2 - 5 - 2 - i**2. Let l be u(0). Let p = 38916 + -38915. Sort p, l, -3, -1 in decreasing order.\nAnswer: p, -1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + b**2 + b. Let c(h) = 10*h**3 - 9*h**2 - 9*h + 1. Suppose 10*l - 988 + 1008 = 0. Give l*c(q) - 18*t(q).\nAnswer: -2*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-1) + 14\/(-12)*-6. Which is bigger: i or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172.15 - -172. Let k = 4187.8500025 - 4188. Let w = k - h. What is w rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17000182 and 338.7.\nAnswer: -16999843.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) - (2 + sqrt(252))) + 4 - (sqrt(252) + 2 + -5)) + 2 + (sqrt(252) - (sqrt(252)*2 + -5)) + (-4*sqrt(252)*1 - sqrt(252)))**2.\nAnswer: -1008*sqrt(7) + 12492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1988 and 308.\nAnswer: 21868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 63 - 2630*d - 24.\nAnswer: -2630*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**4*q)**39)**(5\/11))**13 assuming q is positive.\nAnswer: q**(-5070\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddommmoomoff. What is prob of picking 1 o and 1 d?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u + 2. Let t(y) = 4*y - 1. Let b(i) = -6*k(i) - 13*t(i). Give b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.64 - 10.64. Let m = 8.6 + -0.6. Let v = o + m. What is the biggest value in -1, -0.05, v?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1480 (base 12) in base 16?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 6*q + 12. Let t = -465 - -462. Let m(k) = -5*k**2 + 7*k - 16. Let z(x) = t*m(x) - 4*y(x). What is z(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) -1 (b) 97 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 4. Let s be d(3). Let b = -40 - -45. Is s <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 333 - 338. What is the second biggest value in 8, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 12. Let v(n) = 7*n**2 - 2*n + 1. Let g be v(h). Suppose 0 = -m + g*m - 120. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, -5, -1.129, 15\/14 in decreasing order.\nAnswer: 4, 15\/14, 0.5, -1.129, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 27*y + 23. Let d be q(-11). Let u = d - -506. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**(1\/5)\/v)\/v))\/v)**21)**12 assuming v is positive.\nAnswer: v**(2268\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 36*t + 14*t + 8*t + 5*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17267*a**3*s**2 + 3*a**3*s + a*s - 57*a - 6*s wrt s?\nAnswer: -34534*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120 + -11?\nAnswer: -2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-8))\/(-4 + 116\/32). Let o = -2 + 4. Solve -4*k + l = -o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160\/6*359\/(-34105)*3\/4\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 7 - 6)*(2*q + 13 + 6 - 22) as c + h*q and give c.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 + v**2 - 191 + 100 in the form z*v**2 + d + o*v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080359 and 6.\nAnswer: 6482154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/122250 and -68\/489.\nAnswer: 122250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-178)\/60 + (2 - -1). Suppose 0 = -3*c - 2*c. Is c <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*f + 123 + 149 = 0, -2*f + 216 = 4*o. Suppose -d - 35 = -o. Suppose -4*q + 11 = 5*b, -3*b = -0*b + 5*q - d. Is -10\/11 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w + 1. Let v be s(4). Suppose z + v = 3*a - 2*z, -3*a - 3*z = -15. Solve a = -2*r - 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 135*l + 7. Let v be f(45). Is 47 a factor of v + -2315*(-8)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*o**5 - 10*o**3 + 2*o**2 + 197*o.\nAnswer: -2700*o**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 less than 1629758026139?\nAnswer: 1629758026103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90978836 divided by 22796.\nAnswer: 3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 - -60) + 7\/((-140)\/(-75)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, a: 2, z: 2, u: 5, d: 2}. Give prob of picking 2 u and 1 r.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53*g**2 + 190*g?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40861, 40871, 40865, 40837, 40781, 40691?\n\"Answer: -u**3 - 2*u**2 + 23*u + 40841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r + 54*r**2 - 132*r**2 + 23*r**2)*(-r**2 - 5*r**2 + 5*r**2) to f*r**4 + a + q*r + d*r**3 + v*r**2 and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34922?\nAnswer: 2, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 4*t + 6. Give k(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/13 + 32*x\/13 - 56\/13.\nAnswer: -2*(x - 14)*(x - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 3)*(1 - 1). Suppose 0 = -5*p - 3*h - 1, x = -3*p - p + h - 11. Let t = 711 + -709. Sort p, -0.1, t in descending order.\nAnswer: t, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32313 - -1?\nAnswer: 32320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6059 - 6477 = -209*u. Determine z so that -3\/7*z**u + 10\/7*z - 1 = 0.\nAnswer: 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*y**2\/5 + 147*y\/5 - 6\/5 = 0. Calculate y.\nAnswer: 2\/47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (1*sqrt(228) + sqrt(228))*6)\/((sqrt(60)*-2)\/sqrt(5)) - (sqrt(133)*2*-2 - sqrt(133))\/(4*sqrt(7)*-1).\nAnswer: 17*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14592*l**3*t**2 - 3377989*l**3 + 7*l**2*t**2 - 63*t**2 - t wrt t?\nAnswer: 29184*l**3 + 14*l**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -p + 866, -2*t + 5*p = 3*t - 2180. Suppose 4*s - t = -3*s. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/735)\/(9\/15)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(((-2)\/(-7))\/1). Let d be (1 - k)*(-2)\/4. Suppose d*a = 30 + 3. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 80, 8*a + 3*d + 26 - 34 - 36 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:43 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-7)\/m**(-2\/11)*((m\/(m**(1\/3)\/m))\/m*m)**32 assuming m is positive.\nAnswer: m**(1535\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 5 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -50, 5, -87?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose -v*x + 2*x = 7. Let k be (-15)\/(((-7)\/(-6))\/x). What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 - -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 267 and 1.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9399 (b) 24\/5 (c) 4\/7 (d) 4 (e) 1 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 9. Let k be t(-6). Suppose 0 = l - 2 - 4. Solve -l*b + k*b = 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/6 + (-76790)\/(-552). Let c = g - -7\/23. Let d = c - 140. What is the second biggest value in d, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.046 + 1. Let s = 769791.95399826 - 769792. Let a = s - l. What is a rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.521 + 0.6275.\nAnswer: -3.8935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123201)\/32448 + 60\/16.\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37.58402 micrometers?\nAnswer: 0.03758402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1856, -1857, -1856, -1853, -1848, -1841?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 - 103 + 19 = -79*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 1.546711.\nAnswer: 6.546711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 298 = 81*l - 85*l, -4*m + 5*l = -396. Sort m, 3, -2 in descending order.\nAnswer: m, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-7) - (1 - -1). Let p = 116173 + -116176. Which is the smallest value? (a) p (b) -2\/35 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + h = 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 790 - 784. Let s(b) = 2*b**2 - b - 2*b - 3*b - 13. Is s(v) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 10*y = 0. Factor 0 + y*f - 2\/9*f**2.\nAnswer: -2*f**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q**3\/3 + 4121916*q**2 - 4121915*q\/2 + 772859\/3 = 0. What is q?\nAnswer: 1\/4, 1545718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 15. Suppose -m*h = -2*y + 52, 3*h - 3*y + 66 - 15 = 0. Let g be 86\/18 + (-4)\/h. Put g, -3\/7, 0.2 in descending order.\nAnswer: g, 0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -144924 and -0.214?\nAnswer: 31013.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3264119, -3264135, -3264155, -3264173, -3264183, -3264179?\n\"Answer: k**3 - 8*k**2 + k - 3264113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 28 = y, 12 = 5*p - 5*y - 48. Suppose -189 + 29 = -8*j. What is the least common multiple of p and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-5*(-6*(sqrt(110)\/(sqrt(10)*2) - sqrt(55)\/(-1*sqrt(5)))*-4 + 3).\nAnswer: 90 + 1080*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71655 is divided by 17809?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22922 or 22919?\nAnswer: 22922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-3)*282\/15463?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*u + 552, 4*g - 244 = 2*u + 492. Suppose -4*w = -3*t - 3*w + 145, -4*t = w - g. 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 568 minutes after 12:56 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236008925.\nAnswer: 5, 863, 10939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -11*k - 40 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.418536 nanograms in kilograms?\nAnswer: 0.000000000006418536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1904 divided by 238?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(-5))\/(f\/f**(-1\/2)))\/(((f\/((f**7*f)\/f))\/f)\/f**(-4)))**(-31))**(-4\/5) assuming f is positive.\nAnswer: f**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (92 + -97).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*sqrt(1100) + sqrt(11).\nAnswer: 1 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.283 and 483437555.\nAnswer: 483437542.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*u - u - 496 = 0, -241 = -o + 5*u. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 940*v**2 + 3 + 2.\nAnswer: -940*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1253452774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 4096.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 497580 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*-2*6*((sqrt(468)*1*4)**2 + sqrt(468)).\nAnswer: 1296*sqrt(13) + 1617408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 12*z**2 - 19*z + 143. Let l be v(6). Suppose l*w - 144 = 1. Factor -w*p**2 + 21*p + 1\/3*p**3 - 49\/3.\nAnswer: (p - 7)**2*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46437 is divided by 3236.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -862681677 divided by 8177.\nAnswer: -105501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42662.\nAnswer: 2, 83, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -39\/43?\nAnswer: -39\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1313 + 1451. Calculate the remainder when b is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 65174.86 grams?\nAnswer: 65174860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -0.2 (b) -1\/3 (c) 0.7 (d) 0 (e) -2\/47713 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2950420, -5900834, -8851244, -11801650, -14752052?\nAnswer: -17702450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -27 - 8. Suppose 2*j - 1 = 3*z - 4, -2*j - 9 = -a*z. Let t = -16 - -12. Sort 0, z, t.\nAnswer: t, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18.2 - 17. Let h = f + -1.19999945. Round h to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/9 - (-7 + 5). What is the closest to -4 in c, -2, -4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*-1*sqrt(450) - sqrt(450)*-1*-1))\/(-5*(sqrt(10) - sqrt(30)\/sqrt(3)*4 - (sqrt(1210) + sqrt(1210) + -1*sqrt(1210)))).\nAnswer: -9*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2752 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxyxyxyxz. What is prob of picking 1 x and 1 y?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*i - 16, 4*u - 6 = 3*i - 34. Suppose g - 5*r = 15, 9*g - 13*g - 4 = -i*r. Sort 8, -4, g in descending order.\nAnswer: 8, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - 2*k**2 + k - 2. Let x be m(-2). Let o = 26 + -30. Let f be 7\/((o\/(-3))\/x). Calculate the highest common divisor of f and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-28))\/(i*i**(-6))*(i\/(i**(-1\/29)\/i)*i)\/((i\/(i\/i**27))\/i) assuming i is positive.\nAnswer: i**(320\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(2*(sqrt(272) + -3) + 1).\nAnswer: -192*sqrt(17) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5281.61 years?\nAnswer: 5.28161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 - -174858?\nAnswer: 174882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + -2 + 4 - -2*sqrt(700)*2) + 1*5*(sqrt(700) + (sqrt(700) - sqrt(700)*-2))*3)**2.\nAnswer: 2600*sqrt(7) + 2957504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l - 34*l = -s - 2, -7 = 2*s + 5*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 44*x**2 - 46*x + 228. Calculate y(-43).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m**3 + 28*m**2 - 5*m**4 + 8*m + 10 - 33*m**2 + 7*m.\nAnswer: -5*(m - 1)*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 9675564*d + 19351140.\nAnswer: -3*(d - 3225190)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593468 is divided by 296726.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/6245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.4, -8, -2\/5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-142919)\/(-833) + -3*(-2)\/14?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101 + 100.973. Let a = 1.973 - b. Let l = -7.7 + 8. What is the second smallest value in a, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24168 and 18?\nAnswer: 72504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 8*l + 45. Let x(w) = w - 1. Calculate the remainder when l is divided by x(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i**3 + i**2 - i - i**2 + 0*i**2.\nAnswer: -25*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -8*c + 139. Let i(x) = -6*x + 137. Calculate -7*i(t) + 6*r(t).\nAnswer: -6*t - 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4 (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5290\/(-1955))\/((-2)\/34) + 14\/1?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*k + 52. Suppose 3*q + 9 - 45 = 0. Calculate the remainder when q\/(-18) + 80\/3 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 + (-85)\/(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/246 and 3\/26?\nAnswer: 3198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 12. Let r be q(-12). Let y be (2 + r - 1)*8. Let j(v) = -7 + y - v - 2*v**2 + 4*v. Let h(s) = -s**2 + 2*s. Determine -3*h(f) + 2*j(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6995 - -7006. Solve 4*f = -5*b + z, -5*f + 10 = -4*b + 9*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9360 and 227.\nAnswer: -2124720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*n - 2 = -3, j - 3*n - 1 = -2*n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 374 - 7?\nAnswer: 36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24683455 - 0.09.\nAnswer: 0.15683455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*r = -2*r + 20 - 31, -98*r + 396 = -4*s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*g = 159*g + 98*g - 13390 for g.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -18. Suppose 3*t = 2*t. What is the second derivative of 6*l + w*l**3 + 3*l**3 + t*l**3 - 2*l**3 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9436428 or 179292120\/19?\nAnswer: 179292120\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-45)\/(-23) - 2). Suppose -13*k = -5*k - 608. Let x = h + k. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, a: 1, g: 1, f: 1, x: 1}. Give prob of picking 1 x, 1 g, 1 a, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 139241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvuslulvzvvusvlu?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/13 + 9310*w\/13 + 27948\/13.\nAnswer: -2*(w - 4658)*(w + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 9. Let a(m) be the first derivative of -m**4\/4 + 4*m**3\/3 - m**2\/2 + 4*m - 31. Give a(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 0.074.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564941 by 563.\nAnswer: 564941\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1200333000 + 2?\nAnswer: -1200332443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118*0.06747616.\nAnswer: 7.96218688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-406*p - 372*p + 212*p)*(1 - 1 - 2 + (1 + 2 - 1)*(-2 + 2 + 1) + 1 + 12 - 2).\nAnswer: 6226*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 + 387*h. Let t(n) = 5*n**3 + 774*n. What is 4*t(y) - 7*v(y)?\nAnswer: 6*y**3 + 387*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -4)*7 - (-2 - 1). Suppose -10 = w*m - 33*m. Solve 3*d + 3 = m*r, 3*r = -3*d - 2*r + 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 19 = 3. What is the highest common divisor of 154 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127599 + 127789 = 10*m. Solve -i = -18*f + 16*f - m, -4*i = -2*f - 34 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10 + -8)*(-9)\/(-2). Let p = t + -4. Let o(a) = -2*a**3 - 2*a**2 - 2*a. Let d be o(-1). Solve -j + d*j = p for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*a**3 - 102*a**3 + 223*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 25*r**4\/8 - 17*r**3 - r**2 - 10*r + 118. Let o(u) be the second derivative of s(u). Find the first derivative of o(w) wrt w.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + f = 5, 0*h + 2*f - 10 = 3*h. Suppose d - 5 = h, -2 + 12 = -2*q + 4*d. Let m(a) be the third derivative of a**4\/24 - 2*a**2 - 189. What is m(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from {j: 4, b: 1, h: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*w**3 + 15*w**3 - 3*w**2 + w**2 + 18*w**2 wrt w.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 4*a + 1. Let c(b) = -12*b**3 + 153*b + 11. Calculate 3*c(j) - 33*f(j).\nAnswer: -3*j**3 + 327*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -18) + -3 + 23.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175083647 by -733.\nAnswer: 238859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 337793998689 and -0.3.\nAnswer: 337793998688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 294 = 7*x. Let l(q) = -q**2 + q - q + q**3 - x + 106. What is l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3179 is divided by 528.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 0.11 (c) -33 (d) -50 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/170 and 87\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**3 - 2*j**2 - 3*j - 76. Give w(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/146532 and -19\/128.\nAnswer: 4689024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1240 and 2604.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 69*c**3 + 38*c**2 - 76*c - 5. Let t be x(9). Round t to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 271818.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1417 - 5*y + 2939 - 1437 - y**2 - 2*y**2 - 2*y**2 + 6*y**2 + (0 + 0 - y)*(-7*y + 2*y + 3*y) + y**2 - y**2 - 2*y**2 as p*y**2 + v + t*y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 9. Let b be h(2). Let u = b - 21. Let y = u - -19. Solve -15 = -y*g + 4*x, 4*g - 1 = -x - 0*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 97088602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4248.9 - -4249. What is the nearest to 1\/6 in s, 1, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n**3 + 2*n**2 + 5. Let a(i) = 4*i**3 - i**2 - 3. Calculate 7*a(k) + 4*w(k).\nAnswer: -4*k**3 + k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1841974963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-6) - 0)*-4. Let n = 96 - 93. Solve -5*l**2 + l + 5*l + 2*l**2 - 6*l**g + 3*l**n = 0 for l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 0. Suppose 2*u + m = -1. Let y = u - -7. Solve 9 = -y*o + o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/11 and 83\/62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - ((-8)\/(-1))\/((-2)\/8). What is the highest common factor of 279 and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 565 divide 107477046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**2 + 8*b - 129. What is w(12)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(243)*-2 - (sqrt(243) + 6*(sqrt(243) + -1 - sqrt(243))))**2*-1.\nAnswer: -2287 + 540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33792 and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 8*u**2 - 2*u - 2773. Let k(t) = 2*t. Calculate m(k(s)).\nAnswer: 32*s**2 - 4*s - 2773","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v - 69*v = -12*v - 13108. Calculate the remainder when 141 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + (2 - -9) - -18) + 41.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57253387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**2 + 5*y + 1. Let z(w) = w**2 + w + 1. Suppose -3*i = -4*c - 38, i + 4*i - 55 = 5*c. Let k(f) = i*z(f) - u(f). Give k(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-27\/7)\/(t*t**1*t*t\/(t*t**3))*t**(-6\/11)\/t*t**(-2\/7)*(t*t**(-2\/5))**(8\/7) assuming t is positive.\nAnswer: t**(-63\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of w**4\/12 - 11*w - 6. Let h(i) be the first derivative of d(i). Let s(m) = -4*m. Give h(s(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-22) + (1 - (-46)\/(-11)). Let p(i) = -5*i**3 - 2*i**2 - 4. Let m(x) = 9*x**3 + 3*x**2 + 7. Give f*m(t) - 5*p(t).\nAnswer: -2*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/54978 and -87\/201586.\nAnswer: 604758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3217?\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83686329*w**3 + 0*w**2 + 41843162*w**3 + 41843168*w**3 + 0*w**2.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.067974 from -425639.\nAnswer: -425639.067974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18150151, 36300302, 54450453, 72600604?\nAnswer: 90750755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/729 or 1?\nAnswer: -2\/729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k - 7. Let u be n(-7). Suppose 5*i - 103 - 87 = u. Suppose 0 = h - 5*q - i, -5 = -h + 3*q + 31. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**2*l**3 - 11*g**2*l**2 + 3*g**2 - 795055997*g*l**3 - 23*g*l**2 + 4*g*l - 8*l**2 - 146*l wrt l?\nAnswer: -12*g**2 - 4770335982*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3410 (base 6) to base 5\nAnswer: -11143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 86 = -5*b - 3*a, -4*a + 64 = 4*b. Let d be (-6157)\/b + (-4)\/(-18). Let m = d + 341. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -0.5, -1451\/7, -3\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u. Suppose u*p + 2*p = 0. Sort -5, 5, p in decreasing order.\nAnswer: 5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 3, 0, -16 in decreasing order.\nAnswer: 3, 0, -1, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -162195 > -162058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 4 + (1 - 7 - 3)*(-2 + 6 - 2))*(4*t - 3*t + t) as c*t + f and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31444*y + 9906 = 31190*y for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1)*(-8)\/24. Solve z = r + l + 3*l + 16, 0 = 2*r + 3*l + 7 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7)**38\/(f**0\/(f\/(f\/((f**(2\/47)\/f)\/f)))))**16 assuming f is positive.\nAnswer: f**(198560\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4063 + 4066 - (2 + 35 + -1 + 0).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -158 - 108. Let q = -268 - i. Suppose -a - 20 = 2*d, -3*d - 5*a - 20 = -4. Put 0, q, d in descending order.\nAnswer: 0, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.09 - 0.1. Let y = p - -0.21. What is the third smallest value in 1\/3, y, -3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a minute in seconds?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359476.8ml to litres.\nAnswer: 359.4768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1467906 - 4?\nAnswer: -1467910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(11)*1 + 0 + sqrt(44)) - ((4*sqrt(1331)*3)**2 + 4).\nAnswer: -191668 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 855922230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -p - 10 + 5, 6 = -2*p. Suppose 4 = v*z - 2*k, -3*z - z + 22 = 3*k. Solve -4*a + 20 - 6 = -3*b, 5*b + z*a + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**2 + 40*g - 17. Let r(a) = -2*a**3 - 4*a**2 + 9*a - 15. Let z be r(-4). Give v(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, -10, 5.614?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -298.4\nAnswer: 3879.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 178263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -121, -155, -189?\n\"Answer: -34*l - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302391 is divided by 1526.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 3*c**2 + 7*c**2 + (-2 + c + 2)*(0*c - c + 3*c))*(22*c**3 - 4*c**3 + c**3).\nAnswer: 133*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3990 divided by 190.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 64307 + 10387 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677332 is divided by 63.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p*p\/(p\/(((p**(-21)\/p)\/p)\/p*p)))*p)\/((p**(-5\/2)\/p)\/p*p)*(p\/(p**(-5\/4)*p))\/p*p**(14\/5)*p assuming p is positive.\nAnswer: p**(631\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Suppose 6 = -p + 9. Let f = 5 - p. Let j(d) = -5*d - f*d + 625 - 625. Give l(j(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 * 1128443\nAnswer: -90275.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2271938 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 340*r**2 - 51*r - 17341. Calculate c(-340).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvo when three letters picked without replacement from {z: 1, v: 2, o: 1, m: 1, r: 1, d: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 477181340 plus -0.0282?\nAnswer: 477181339.9718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in 6, 1\/14, 5, 1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (-1 + (-12 - (48 + 1)))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 87200592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 486072089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 + -4 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 - 0.3. Let c = 23 + -71\/3. What is the closest to c in -1, -3\/4, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 822*j = 817*j + 5*i, 4*i - 36 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6072, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 6) in base 4?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + 2 + 0\/2. Let b = a - -19. Differentiate 9*s**2 - b*s**2 + 10*s**2 + 31 + 24*s**2 with respect to s.\nAnswer: 64*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*f - 605 + 813 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/6 - 3743677*b\/3 - 14015117480329\/6 = 0?\nAnswer: -3743677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 109584 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7224 - 1118 = 1731*n - 304*n + 60154 for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Solve -2*q - 8 = 2*f, -3*f - h*q = -6*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102.0609ns to minutes.\nAnswer: 0.000000001701015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -11.09 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5 - 8 = 0, -23 = -5*p + 3*j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 57, -1, 2\/7, -1\/5, -4, -3.8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -13. Let t be -1*((-4)\/(-4) + d). Suppose t = 2*r + r - 165. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. What is the nearest to -11 in -1\/2, 0.2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-3 + -5 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.296 (b) -433 (c) -2\/77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 66 = -2*u, 174 = 5*u + 4*p + 36. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -750 + 761.975. Let d = 0.025 + k. Let q = 11.98 - d. What is the closest to -1 in -1\/2, -3, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvdvh. What is prob of picking 2 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273090756 is divided by 3290250.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -180*b**4 + 12*b**2 - 6*b + 606. Let r(f) = -179*f**4 + 14*f**2 - 7*f + 605. Let q(a) = 7*h(a) - 6*r(a). Differentiate q(s) with respect to s.\nAnswer: -744*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*c + 3708332 = -1013419 - 1624439. Is 38 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134036.\nAnswer: 2, 7, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.22 + 0.22. Which is the smallest value? (a) -0.2 (b) -0.09 (c) 0.3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 0. Solve -5 = -c - 0*c, -k = -v*c + 23 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -21*v. Let c(x) = 475811*x**2. Calculate q(c(o)).\nAnswer: -9992031*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -18510 = -18508?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-83)\/(2*(3 - (-28)\/(-8)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 10 - 2*y + 8*y. Let g be l(4). Find the second derivative of -10*v**2 - 6*v - 6*v**g + 10*v**2 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(((-320)\/(-6912))\/((-8)\/24))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3778?\nAnswer: 2, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261 + 1509 - 287 - q.\nAnswer: -q + 961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 16*p**2 - 597*p - 5864. Let b(v) = -5*v**2 + 199*v + 1954. Let m(u) = 7*b(u) + 2*q(u). What is the derivative of m(t) wrt t?\nAnswer: -6*t + 199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 38, 55, 88, 143, 226, 343?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654 = g + 4*x, 5*g + 1443 = 4*x - 1899. Let t = -30 + 10. Let s be 4 - (g\/(-154) + t\/110). Put -1\/2, s, 2, -1 in decreasing order.\nAnswer: 2, s, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2) + (28 - 26). Let m(l) = -58*l**2 - 61*l**k + 121*l**2. Let t(u) = 9*u**2. Give t(m(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j. Let y(t) = -19*t - 1. Determine y(f(v)).\nAnswer: 19*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 3. Suppose 1 = -3*z + b. Let a = z + -5. Sort 0, -1, a in ascending order.\nAnswer: a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + l + 2, 5*v - 4*l + 9*l - 30 = 0. Let q(m) = -m**2 + 26*m - 35. What is the remainder when q(24) is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 32 = -0*d + 4*k, k + 139 = 5*d. Let j = d + 92. Let f = -67 + j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 25. Let w = 0.15 + 0.05. Which is the closest to p? (a) w (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p*s**2*x - 6*p*s**2 - 12*p*x - 11*p + 7*s**2 - 7*s*x**3 wrt x?\nAnswer: p*s**2 - 12*p - 21*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25143283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2 + 92*h + 128. Give r(33).\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -316*l + 11. Let s(j) = -105*j + 4. Calculate -4*b(q) + 11*s(q).\nAnswer: 109*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -124416 divided by -9?\nAnswer: 13824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*o - 36 = 0. Let k be 0 + 1 + (2 - o)\/(-2). Let d be 2*k\/((-8)\/(-4)). Solve d*t - 4 = -2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*z**4 + 249*z - 1432?\nAnswer: 28*z**3 + 249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 48*u + 4175. What is i(-87)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 6*j. Let f be k(-6). Suppose -27 = -v - 3*g, -18*g - 5 = -15*v - 13*g. Solve 3*b - t - 20 = f, -v*b - t = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1013632078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 0)\/(4\/10). Suppose l*k = -0*b - b + 48, -34 = -3*k + 2*b. What is the greatest common factor of k and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(5 - 4 - 1). Is m equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1278 and 2130?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 22*h = 5*w - 81090, -16212 = -w + 2*h. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*r**3 - 33*r**3 + 13*r**3 + 2*r - 38*r**3 + 0*r to the form k*r**3 + p*r + s*r**2 + d and give k.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 775 + -774.478. Which is smaller: -2 or d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.93 + -0.07. Let z = -26816 - -26815.9. Which is the third biggest value? (a) -0.2 (b) 18\/5 (c) v (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + (24 - 13) + -22 - 0) + (-3 - -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*n - 4*m, 0 = -5*n + m + 2*m + 79. Suppose 0 = -2*b + 87 - n. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.294402ml to litres.\nAnswer: 0.009294402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35942367 is divided by 1276?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*x - 450 = 58*x. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 126 - l**2 + 20*l**3 - 125 - l in the form m*l**3 + o*l**2 + d + q*l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100001111001 (base 2) to base 11.\nAnswer: 16a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 1. Let m(a) = -17*a**3 + 3*a - 19. Let j(k) = -m(k) + 3*v(k). Find the first derivative of j(g) wrt g.\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 4:40 PM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + sqrt(180))**2.\nAnswer: -24*sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 20, 20, 4, -34?\n\"Answer: -w**3 + w**2 + 14*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2644 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720781637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -511 - -801. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (15\/2 + (9 - 12))*-2. Let b(m) = -m**3 - 8*m**2 + 6*m - 13. Calculate b(j).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -13\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -1838 - 22106. Let d(n) = -o*n**2 - 859*n**2 - 655*n**2. Let y be d(4). What is y rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 875293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.85485 micrometers to kilometers.\nAnswer: 0.00000001285485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1654365601.2 - -0.06.\nAnswer: 1654365601.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 1\/14 (c) 2\/5 (d) 4.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3911099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9274 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 22. What is the smallest value in -1, j, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 3*n**2 + 2*n + 1. Let v(c) = 39*c**3 - 4*c - 3*c**2 + 1 - 38*c**3 + 2*c**2 + 3*c. Determine -j(y) - 2*v(y).\nAnswer: -y**3 - y**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 4. Let q(y) = -2*y**2 - 41*y - 17. Let m be q(-20). Solve c = -m*u - 0*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 3. Let i = 1596 - 317. Let f = i + -1290. What is the closest to f in -3, 1, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Let m = -55 - -57. Find the third derivative of 0*g**m - g**6 - g**6 + z*g**2 wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, z: 3, v: 5, k: 1, n: 1}. What is prob of sequence ztn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h**2 - 7 + 7 - 31*h**2 + 12.\nAnswer: -25*h**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2057 + 2169. What is the greatest common factor of l and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, 0.2, 3 in decreasing order.\nAnswer: 3, 1, 0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-45)\/200)\/(3\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1287*f + 2378*f - 53902 - 180060 + 21392 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35ce (base 15) in base 8?\nAnswer: 26264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**7\/630 - 7*t**6\/30 + 147*t**5\/10 - 21*t**4\/4 - 2*t - 21. Let c(n) be the third derivative of p(n). Factor c(u).\nAnswer: 4*(u - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*s**4\/5 + 162*s**3\/5 - 168*s**2\/5.\nAnswer: 6*s**2*(s - 1)*(s + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 76\/5 of a gram?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 3*b**4\/4 + b**3 + 5*b**2 - 34*b + 125. List the prime factors of r(5).\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 15, 2*c = -s + 10. Suppose 3*w - c = 2*w. Let f = 34\/5 - 6. Put w, f, -0.4 in decreasing order.\nAnswer: w, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10431 - 3251. What are the prime factors of n?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -29 (c) 0 (d) -1\/5 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*5\/(-2))\/((-6)\/12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 15*b - 2566 + 0*b**2 + 2530. Determine q(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 16*q**2 + 18*q - 15. Let t be y(17). Suppose 3*h = -2*h + 2*k + 5275, -h = -t*k - 1055. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27237 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) - 21\/(-9). Suppose 6 = -m*r + 6*r. Suppose r*t + u = -1, 0 = -5*t + u + 4*u - 10. Let c(f) = 6*f. Give c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 13*p**2 - p - 10. Suppose 2*k = -2*y - 34, 4*k - 2*y = -20 - 24. Let c be q(k). Factor 5*x**c - 25\/4*x**2 + 5\/2 - 35\/4*x.\nAnswer: 5*(x - 2)*(x + 1)*(4*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381 divided by -9?\nAnswer: -127\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -32 (b) 4 (c) -1200 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21606675 and 3500?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 2*b**2 + 18*b + 52. Give q(11).\nAnswer: -3501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1440580 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/4144 and 43\/532.\nAnswer: 78736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, o: 2, a: 4}. What is prob of sequence akko?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -33. Suppose -c + 1449 = p*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*q**4 - 63 - 61*q**4 - 3*q**3 + 23 + 4*q**3 to the form i*q**2 + j*q + f*q**4 + t*q**3 + b and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/12 + -1\/4. Sort d, 2\/5, -3\/44 in increasing order.\nAnswer: d, -3\/44, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 5*h + 2. Let r be j(-5). Suppose 86 = 48*a - 5*a. Solve 2*n - 4*v = a, n + r*v = -v - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/((-2)\/(2 - 3)). Suppose 0 = y - 3*r - 15 - 14, 75 = q*y + 3*r. Suppose -y*i + 25*i - 4 = 0. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*a + 4, 5*c + 4*a + 0 = -2. Put 14, 1, c in descending order.\nAnswer: 14, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1\/13, -1\/2 in descending order.\nAnswer: -1\/13, -1\/2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -36*m**2 + 73*m**2 - 39*m**2. Let r(f) be the first derivative of -f**5\/60 + f**3\/3 + 1. Let d(l) be the third derivative of r(l). Calculate d(v(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-4))\/10)\/((-3)\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.23 - -0.17. Which is the nearest to -3? (a) s (b) 2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n. Let w be z(2). Let f be 1\/(w\/4)*1. Find the second derivative of m**5 + 3*m**5 - f*m**5 - 2*m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415 - 414. What is the remainder when 275 is divided by (21\/(-14))\/(g\/(-62))?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 - 78.6. Let a = 84 + o. What is a rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -8. Let r(u) = -4*u**3 + 3*u**2 + 3*u - 2. Let d(b) = 8*b**3 - 7*b**2 - 7*b + 5. Let c(v) = z*d(v) - 5*r(v). Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.2, -378, 3, 5\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95 + -93. Let z = -0.3 - -0.5. Let y = 0.2 - z. Is y less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = -5*a - 30, 2*s = 5*a + 30. Let k be (a\/(-4))\/(6\/32). Let l be 0 + -1 + -3 + k. Calculate the highest common divisor of l and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from udhhththuhh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*-1385\nAnswer: 5540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30183436 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*a = -0*f - 10, 2*f + 15 = -5*a. Suppose -2*h - 4*x - 14 = 0, 2*h = 6*h - f*x - 37. Suppose -3*k = h*k. Solve -m = -k*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two thirds of a hour in seconds?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((666\/80)\/((-1365)\/1196) - -7) + (-30)\/(-375).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u + 2. Let x be k(-3). Let j = -233 + 233. Suppose 0 = 2*v + g - 2 - 1, -x*v + 5*g + 45 = j. What is the lowest common multiple of v and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20*(-18)\/(-28))\/((-4160)\/11648)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3511?\nAnswer: 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8490286.\nAnswer: 2, 7, 606449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-2))\/((-15022)\/(-1073)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.052 - 0.312. Let a = m - -35.86. Round a to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*w + f, 5*w + 7 + 13 = 3*f. Let t(n) = n**3 + 4*n**2 - n - 2. Let j be t(w). Calculate the greatest common factor of j and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85 - -83. Suppose k - 828 = 20*f. Which is smaller: -100\/3 or f?\nAnswer: -100\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.988783mg to kilograms.\nAnswer: 0.000007988783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z + 12993 - 603. Let a = 836 + z. Let t = -58 - -107. What is the remainder when t is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1165 != -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and -133347.\nAnswer: -133347.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-106*2*(-2129)\/(-8516)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.37 and -1.6.\nAnswer: 0.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10021473 by 3.\nAnswer: 3340491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*s**4 - 485421*s**3 + 113*s**2 - 63933386*s?\nAnswer: 36*s**2 - 2912526*s + 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1794 and 3939?\nAnswer: 181194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2060 = 3*l + l, -2*v - l = -2069. What is the greatest common factor of 1776 and v?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**4\/6 + 166*z. Let i be (-12)\/(-36) + (-5)\/(-3). Let k(j) = 3*j**2 - 19*j**2 - 6*j**i. Determine h(k(c)).\nAnswer: 968*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2527*g - 12 = 2539*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 376755 - 4?\nAnswer: 376751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -45*c. Let r(w) = 47*w**2 - 10*w + 15. Calculate p(r(i)).\nAnswer: -2115*i**2 + 450*i - 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10653\/7130 + 21\/3565. Which is the closest to 0.08? (a) -7\/8 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 9*w**2 - 13*w + 57. Let u be s(8). Put u, 5, -3 in descending order.\nAnswer: u, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3578 divided by -1789.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126136 and 8?\nAnswer: 126136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8038847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - 25?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79401848 to the nearest integer?\nAnswer: 8911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 7, d: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t + 19. Suppose a + t = -2*p + 7*p, 0 = 2*p - 4*a - 4. Suppose -87 = -c - p*c. Calculate the remainder when c is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 2*t - 20. Let z be r(4). Solve -25 - 10*b - 2*b**2 + 5*b**2 - z*b**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 13413260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 + 122*r**2 - 3*r + 99. Give h(61).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37144 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11764241 is divided by 178246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7096851 to the nearest integer?\nAnswer: 2664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*t**3 - 633495 + 633495 + 110*t**3.\nAnswer: 133*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 34*f - 33. Let q be j(-1). Let n(c) be the third derivative of 61*c**5\/60 + 5*c**4\/24 - 5*c**3\/6 - 2*c**2. What is the hundreds digit of n(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 9. Let n(h) = 8. Calculate -3*d(t) - 2*n(t).\nAnswer: 3*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*a**2 - 4)*((1 - 1 + 3)*(4 - 2 + 3) - 2 + 3 - 3) in the form m*a + n*a**2 + z and give n.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -140, -135, -130, -125, -120?\n\"Answer: 5*r - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-1071)\/(-630))\/((8\/(-5))\/(-4))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 202512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -929*y**2 + 1854*y + 8.\nAnswer: -(y - 2)*(929*y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + v**2)*(3*v + 0*v - 4*v) + (3498*v**2 - 2903*v**2 + 4040*v**2)*(4 - 4 - 2*v) to the form d + l*v**2 + h*v + r*v**3 and give r.\nAnswer: -9271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s + 3*s - 6*s)*(9 + 7 + 4) to the form f + v*s and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 1)*(-14*b**3 + 8*b**3 + 2*b**3) + (5*b**2 + 3*b**2 - 4*b**2)*(-2*b + 3*b - 3*b))*(2*b + 0*b + 0*b).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -239840*c - 479714. What is d(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, u: 2, n: 1, t: 5, j: 5}. What is prob of sequence ui?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2. Let u(i) = -34686*i**2. What is u(f(v))?\nAnswer: -34686*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4693573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9995735 - 2*m - 9995682 + 3*m.\nAnswer: m + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90 + 218. Suppose -4*g = 2*a - p, a + 4 = -0*a. Let j = 42 - g. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (588\/392)\/((-5)\/(-190))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6860.737348210097 - -0.055268489903. Let a = 6814.79262 - m. Let d = 46 + a. Round d to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 8 - -2 - 32\/8?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvxjsqq. Give prob of picking 1 x and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/5))**(-3\/20)\/((j*j**(-3))\/j**(2\/5)) assuming j is positive.\nAnswer: j**(231\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16548850 and 16837.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 2, u: 1, p: 1, v: 2, r: 1}. What is prob of picking 1 r, 1 u, and 1 i?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*i - 447 = 0, 7*i = -2*y + 8*i + 899. Suppose 0 = -4*b + 547 + y. Suppose 0*u - 42 = -3*u. Calculate the remainder when b is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-1)\/k))**6\/(k\/k**(-5)*k**(-7\/2)) assuming k is positive.\nAnswer: k**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 609, 1212, 1809, 2400?\nAnswer: 2985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from wwwfq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -187, -386, -587, -790?\n\"Answer: -l**2 - 196*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42799, -85325, -127859, -170407, -212975, -255569, -298195?\nAnswer: -340859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 91 - 93. Put -1, 0, a in increasing order.\nAnswer: a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**3 - 3*d + 3. Let q(h) = h**2 - h + 1. Determine b(r) - 3*q(r).\nAnswer: 6*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 6. Suppose 5*s + o*h + 3*h - 270 = 0, -3*h = 5*s - 274. Let y be 4\/14 - (-208)\/s. Solve 3*r - 28 = 3*j + 7*r, 0 = -2*j + r - y for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 49*x - 44*x. Calculate the highest common factor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010101 (base 2) in base 13?\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 - 2*y + 1. Let f be 6\/(-2) + 2 + -1. Let d be w(f). Round d to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(2\/13))\/l)**37 assuming l is positive.\nAnswer: l**(555\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (99\/(-22) + (5 - 1))*0. Suppose x - 4*z - 73 = 0, r = -x + z + z + 77. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066001598?\nAnswer: 2, 3, 1051, 644783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -23001012011?\nAnswer: 23001012000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 53*u**2 - 4*u - 4. Let p be n(-1). Let c = p + -40. Calculate the remainder when 38 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, b: 6}. Give prob of sequence ccb.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 99379 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5))**(1\/21))**(2\/123)\/((((x\/(x**(-4\/9)\/x)*x)\/x)\/x*x)\/x**(-2\/7)*(x\/x**0)**42) assuming x is positive.\nAnswer: x**(-577694\/12915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -642. Let b = -144 + f. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*n**2 - 14*n**4 + 2 + n - 140*n**2 to the form s*n**4 + x*n**3 + m*n + u + q*n**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*u + 2*h - h, 0 = u + 5*h - 13. Suppose -1 = -5*c - u*i, 0*c - 2*c - i + 1 = 0. Let t = 40 - c. What is the greatest common factor of t and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000495 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2812, -4, -6.\nAnswer: -2812, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/15))**(-1\/38)\/((i**(-6)*i)\/(i*i**(4\/7)\/i)) assuming i is positive.\nAnswer: i**(11108\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1828670, -3657331, -5485992, -7314653?\nAnswer: -9143314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**4\/24 + 10*n**3\/3 + 22*n**2. Suppose -4*g + g - 3*d = 24, 5 = 5*d. List the prime factors of w(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from svshhllhshlhlsh.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**18*l)\/(l\/l**(-2\/7)))\/((l\/(l*l**13))\/l*l*l**(-2\/35)\/l) assuming l is positive.\nAnswer: l**(1112\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a26 + 64?\nAnswer: a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*3\/18)\/(15\/30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 - k - 1. Let u be s(-1). Let h = 14 + -14. Let o be (-1 - h)\/((-9)\/(-9)). Sort 2, u, o in increasing order.\nAnswer: o, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19910.8*2035\nAnswer: 40518478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - u - 12 = -13, -u - 11 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**11\/(z*z**9*z))**(-2) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**15\/(d*d\/d**(1\/5))*(d\/(((d**(-9)*d)\/d)\/d*d))\/((((d**(9\/2)\/d)\/d)\/d)\/d))**(-2\/77) assuming d is positive.\nAnswer: d**(-227\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 271507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*n - 30*n + 61*n + 13*n)*(6*n**2 + n**2 - 26*n**2).\nAnswer: -2660*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*w - 6*w - 292*w**4 + 288*w**4 wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -25. Let i(q) = -12*q**2 - 230*q - 20. Calculate the smallest common multiple of h and i(-19).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -3, -104, -2 in increasing order.\nAnswer: -104, -5, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 590 and 274881?\nAnswer: 2748810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 + 28*n**2\/9 + 130*n\/9 + 200\/9.\nAnswer: 2*(n + 4)*(n + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/sqrt(3) + 0 + -1.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/(-74)*5\/(-4)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -392\/3*y - 2\/9*y**3 + 57 - 28\/3*y**2. Suppose h(o) = 0. Calculate o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8 = 4*g. Let r be ((-5)\/20)\/(2\/g). Solve 10 = 3*x + r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (1 + -4)*-1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**4\/6 - f + 14. Let u(o) be the third derivative of o**5\/60 + o**4\/2 - 89*o**2. Give k(u(m)).\nAnswer: -2*m**4 - 48*m**3 - 288*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**5*y**2 + 1428411*l**3*y**2 + 4*l**2*y**2 + l**2*y - 2*l**2 - l*y**2 + 56525*l wrt l.\nAnswer: 180*l**2*y**2 + 8570466*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36890 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1907598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 7*d**2 + d - 7. Let z be f(7). Let h be (2 + 1)\/(-3)*z. Suppose h = 5*j - 16 - 19. Solve 3*w - j*w - 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = -p, 5*p + 11 + 13 = 2*v. What is the third derivative of -z**v + 6*z**5 - 3*z**5 + 2*z**2 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {f: 6, o: 1, k: 3, b: 2, m: 7}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 + 23 = 2*r, -4*r + 16 = 3*n. Suppose -u + 0*p - 5*p - 2 = 0, p = 2*u + n. Is (1\/u)\/(3\/(-48)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000756003678 rounded to six dps?\nAnswer: 0.000756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2731*k**3 + 237*k**2 - 5895622*k.\nAnswer: 16386*k + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1320, 817, 318, -177, -668, -1155?\n\"Answer: 2*n**2 - 509*n + 1827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 0*n - 2*f - 10 = 0, -4*n - 3*f - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + 4 + -24 - (-6 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - a + 1. Let l be y(1). Differentiate -43*h**2 + 29*h**2 + 22*h**l + 7 wrt h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4470059 and 0.\nAnswer: 4470059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4740 and -29\/1190214?\nAnswer: 11902140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3622, 2\/293, 4\/5?\nAnswer: 2\/293","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -202.1203 - -0.064\nAnswer: -202.0563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0 + 29*u + 107\/6*u**3 - 89\/12*u**4 + 0*u**2. Find the second derivative of q(r) wrt r.\nAnswer: -178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ab + -38687?\nAnswer: -38843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = 5*z, -c = 3*z + c + 10. Let v = 17 + z. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2324359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4144 - 17.6444. Let u = -17 - a. What is the second smallest value in 3, u, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 64 + -2 + (-5 - -2). Suppose -7*b + 444 - g = 0. What is the highest common divisor of b and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l**2 + 21*l + 254. Calculate j(-7).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -5*x - 22 + 3*x + 4*x. Let y be -10 + 8 - (-3 - -1) - -24. Is h(y) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, -3*a = -4*m + m - 51. Calculate the highest common divisor of a and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 6*h + 2. Determine p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8034 is divided by 149?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, x: 1, g: 1, b: 1}. What is prob of sequence dgxb?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let w(m) = -2044094 + 2044094 - 163*m**2. Determine w(v(z)).\nAnswer: -163*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2081*c*h - 13910438*c - 2862*h wrt h.\nAnswer: 2081*c - 2862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-470)\/(-10528) + (-6)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 777 (base 9) to base 7\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.261833 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-170)*(-33915)\/(-5985).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 2*r**2 - 5*r. Let t be -1*1\/1*-4. What is q(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(13\/2) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4309 - 4309 - 5*j + 21*j. Let n(w) = -w**2 - 80. Determine n(b(a)).\nAnswer: -256*a**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*q - 6, 0 = -h - 2*q - 22. Let t = 21 + h. Suppose 107 - t = 4*b - 2*s, -134 = -5*b + 3*s. Solve -4*o = o - b for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 55. Suppose 0*z = -z + 1, -5*o - 2*z + 22 = d. Find the second derivative of 59 - g**o - 59 - 2*g + 11*g wrt g.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43085 by -3806.\nAnswer: 43085\/3806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 2)*(65 + 320 - 59)*(11*n + 13*n + 29*n) as f*n + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(-3 + 1*sqrt(200))*4)**2.\nAnswer: -1920*sqrt(2) + 6688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 239*n**3 + 4*n**2 + 7*n - 10. Let g(s) = -s**3 + 7*s**2 - 4*s - 7. Let h be g(6). Let q be f(h). Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 30, 34, 32, 24, 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -6 (c) 0.175 (d) 0.2 (e) -0.1 (f) -1\/5 (g) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -57086, -58, -0.22?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -226, -4 in increasing order.\nAnswer: -226, -15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 3*h - 6 - 10, 3*v - 3*h = 15. Let t = 25 - v. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 4, s: 7, q: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiieeeiieii. Give prob of picking 4 i.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -23, -60, -131, -248?\n\"Answer: -2*h**3 + h**2 - 4*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -600 - -587 - (-12)\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 3*s**2 + 2*s - 3. Let r be i(3). Let y = 7 + -5. Suppose -1 = 5*p + 9, 3*p - 2 = -y*g. Solve 0 = 2*z - n + 1, -n - 3 + g = r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. Let z be 2 - (-2)\/(-1)*1. Let y = -518\/3 + 173. Which is the second biggest value? (a) h (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4 - 2. Let d(o) = o**3 - 11*o**2 - 10*o - 25. Let n be d(12). Let u = -5\/7 - n. What is the nearest to 1 in u, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129144 + -353049. Is (-1)\/((-89397)\/v - (-2)\/(-5)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1187120 + -1187124. Let v = 0.5 - -3.5. Which is the third smallest value? (a) v (b) p (c) 5 (d) 45\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 7. Let i be b(-5). Suppose 13 = 5*t - i. Solve 6*h - t*h = 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -6, 6, 41, 9 in decreasing order.\nAnswer: 41, 9, 6, 5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 + 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.059980061 * -3.\nAnswer: -0.179940183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -1\/2*z**2 - 2*z + 0 + 0*z**3 + 1\/12*z**4. Let l be 7 - (2*(-21)\/(-14) + 2). Let k(t) = t**2 + t. Determine l*k(p) - v(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46629 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 2*b + 78 = -41*p + 55*p, 0 = 17*p - 18*p + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 24682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -2\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6804.901 centuries?\nAnswer: 8165881.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 f, and 1 i when three letters picked without replacement from {p: 2, f: 1, i: 2, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.023 - 0.257. Let t = l - -0.48. Suppose k - 4 = 4*c + 5*k, -3*c = 2*k + 4. What is the third smallest value in c, 11, t?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, and 1 r when three letters picked without replacement from qqddrqqwpqqqrq.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1599*i**2 + 3172*i**2 - 1597*i**2.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (531\/48)\/((-3)\/(-4)) and 43\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28073, -56160, -84247?\nAnswer: -112334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23527 (base 8) in base 11?\nAnswer: -7626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4055654621 rounded to four dps?\nAnswer: -0.4056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 + 2*z + 2. Determine f(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v**2 - 3. Let i(s) = 8*s**2 + 5. Suppose 3189 - 3207 = -6*b. Determine b*i(f) + 5*m(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/2, -8, -1, -0.06?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.21, -0.7632, -5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 15143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -29. What is the nearest to 2 in 0.2, 0, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, b: 1, p: 3, m: 5, s: 2}. What is prob of sequence mb?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of m**3\/3 + 2*m**2 + 4*m - 5. Let o be c(-4). Solve 0 = 2*t + o*d - 24, -5*d = 4*t - d - 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -904?\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*l**2 - 36*l**2 + 163*l**4 + 14*l**4 wrt l?\nAnswer: 4248*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (7 - 6) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -28, -9, 24, 77, 156, 267?\n\"Answer: c**3 + c**2 + 9*c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.48 + -0.132. Let o = -0.56 - x. Let c = o + 2.848. Which is bigger: c or 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1563582 and 119\/72?\nAnswer: 18762984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 6*f**2 + 14*f - 16. Is c(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 + 14*s**2 + 1365*s + 10559. Determine n(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3272017*y**2 - 6022*y**3 - 12464 + 3272017*y**2 with respect to y.\nAnswer: -18066*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1548*r**2. Let l(g) = 21*g**2. What is l(q(y))?\nAnswer: 50322384*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9 = -4*d, 3 = -3*a - 3*d - d. Suppose a*s - s = -c + 238, 8 = -4*s. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 8 + -4 + -4. Suppose -c + 15 = 4*l, 14*c - 3 = 11*c + 2*l. Let w(g) = -10*g**3 - 5*g + 25*g**3 - 14*g**c + 6*g. Give w(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 528 = 4*n + 5*s - 247, n - 178 = 4*s. Suppose -n + 1414 = 17*t. Let c(z) = z + 48. Let r be c(0). Calculate the highest common factor of r and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3758417 + 5?\nAnswer: -3758412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18512112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k + 559. What is the remainder when c(-44) is divided by (-121)\/(-7) + 2\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 81 = -3*c. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 5 - -3 - (-8 + 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582 < 2591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 82, -5\/13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15 and -10.099.\nAnswer: -25.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 60 + 30. Let v = g - -50. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/13 (b) 2\/3 (c) -3 (d) 1 (e) 2\/10785\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y. Let z be h(1). Suppose g + v + z = 3*v, -15 = -5*v. Suppose g*k - 61 = -5*s, -8 = -0*s - s + k. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 5091?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*(-156)\/(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 945 and 27867915.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 23.54377kg?\nAnswer: 23543770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -835, -3314, -7487, -13354, -20915, -30170?\n\"Answer: -847*u**2 + 62*u - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000321141 (base 5) in base 6?\nAnswer: 325452415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2470 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180844 by -4.\nAnswer: 45211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzznzrrrrf. What is prob of sequence rr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 12:29 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1.4, 313, 4 in increasing order.\nAnswer: -1.4, 4, 8, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 15 - (1 + -11)) + -17 + -38\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 14*h - 17. Let v(r) = 5*r - 6. Suppose 3*p + 4*m - 186 = 0, -3*p = -7*p - 5*m + 247. Let d be 2\/4 - 377\/p. Give d*z(y) + 17*v(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 5.042.\nAnswer: 5.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100985, -203127, -305269, -407411?\nAnswer: -509553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from gagwwgmhvgmh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102\/41 - 63617\/26445. Calculate the common denominator of u and -22\/135.\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 25*d + 1367. Let r(x) = -3*x. Calculate c(r(m)).\nAnswer: -75*m + 1367","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 2*m**2. Let p be f(-3). Suppose 3*k - d = 6*k - 9, d = 0. Sort k, -3, p in descending order.\nAnswer: p, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73\/56 + 3\/56. Which is the closest to -2\/3? (a) f (b) 4\/23 (c) -1\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 + 68. Let q be v(0). What is the highest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -11*c**2\/2 - 9. Let w(r) = r**2. Determine o(w(k)).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 8)*((-3 - 3 + 5)*(11*g - g - 44*g) - g - 4*g + g).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68) + 1)*-5*4.\nAnswer: -120*sqrt(17) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9713 rounded to two decimal places?\nAnswer: -1.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 - 565*p**4 - 15670*p**3 + 16810*p**2 + 15675*p - 16245 = 0.\nAnswer: -57, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 - 23*b\/2 - 105.\nAnswer: (b - 30)*(b + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k**2 - 29. Let d(f) = 1432*f. Calculate g(d(z)).\nAnswer: -24607488*z**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(3*sqrt(208))**2*6.\nAnswer: 44928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 13*q**2 - 9*q + 5. Let b = -59 + 63. Let g be (-7)\/14 + 54\/b + -1. What is the remainder when 78 is divided by i(g)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**8\/6720 - z**7\/840 + z**6\/240 + z**5\/6 + 4*z**2. Let i(x) be the third derivative of l(x). Factor i(a).\nAnswer: 3*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3375407 by 88.\nAnswer: 3375407\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 22\/37 (b) 4 (c) -583 (d) 46\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-2) assuming c is positive.\nAnswer: c**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 337862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s**2 + 2*s**2 + 0*s**2)*(-79*s + 160*s - 81*s + 293*s**2) to z + p*s + j*s**2 + w*s**3 + i*s**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*o**3*r - o**2*r + 17423*o*r + 357782*r with respect to o.\nAnswer: -93*o**2*r - 2*o*r + 17423*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 10) + 28 - (-49 - 12)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095 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: Simplify ((w*w*w**2\/w)\/w)**(-16\/3)\/(w**(3\/25)\/w**(-7)) assuming w is positive.\nAnswer: w**(-1334\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 0.19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -31. Suppose z = -2*l + 4*l - 240. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*j**4 - 7*j**3 + j**3 + 40*j**4 + j in the form n*j + f*j**4 + a*j**3 + p + g*j**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16229 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 17878 and -0.1.\nAnswer: 17877.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 + 107 + 123 - o**2 + 90 + 0*o**2 - 417.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/21576 and -71\/148480.\nAnswer: 13808640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 8*v + 1. Let s be g(9). Let d be (12\/s)\/((-42)\/(-40)). Is 2 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13875474 = -16524526. What is k rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2577*h + 33949. Determine k(12).\nAnswer: 3025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/13, 11 in descending order.\nAnswer: 11, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 3522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p - 1. Suppose 5*m - h = 123, h = m + 6*h - 9. Suppose -7*g + m = -p*g. Calculate the greatest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 69768036.\nAnswer: 1\/34884018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 4*z**2 + 13*z + 34. What is t(5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - 6515\/(-75) - (-2)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/9)\/(7\/(-105)). Sort -3\/5, h, -3 in descending order.\nAnswer: -3\/5, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a minute?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2.487279 months?\nAnswer: 0.020727325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 1 + 1415 + -1449?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(18) + sqrt(54)\/sqrt(3)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = l + 356. Let o be 401\/1 - (6 - 6). Let a = o + l. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 - (-2 - (-6 + -1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.09 - 1.39. What is the third biggest value in -5, 0.5, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 13. Let o(d) = -54*d + 8. Let y(a) = 18*a - 3. Let g(w) = l*y(w) + 6*o(w). Is 11 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10266527?\nAnswer: 10266527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0175*-0.5.\nAnswer: -0.00875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4350? (a) -1 (b) -0.08 (c) 0.07 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -345, -753, -1167, -1593, -2037, -2505, -3003, -3537?\n\"Answer: -k**3 + 3*k**2 - 410*k + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5916*r + 5898*r - 144 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*d + 202 = 0, 4*d = -2183*n + 2182*n + 196. Solve -n = -18*t - 328 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 smaller than 509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/4*(-132)\/(-9). Let q = 13 + 9. What is the greatest common divisor of k and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079641 is divided by 11086?\nAnswer: 8819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let h be 5 + 124\/(-24) + 2\/6. Is p smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*p**2 - 55*p**2 - 156*p**2 + 19*p**2 + 13*p**2 - 18*p.\nAnswer: -253*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193058, 386138, 579250, 772406, 965618, 1158898, 1352258?\nAnswer: 1545710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 1)**2 + -5 + (sqrt(243)*2 + sqrt(243))**2 + 1.\nAnswer: 18*sqrt(3) + 2427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 12*n**2 + 39*n + 3. Let f be z(-9). Which is bigger: f or -104?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 + 64 = 36*g. Calculate the remainder when 35 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 215804, 431619, 647434, 863249, 1079064, 1294879?\n\"Answer: 215815*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (224\/(-4900))\/((-6)\/15).\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -20001*w - 80001. What is g(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 18*k + 18*k.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007759 rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwtwvho. Give prob of sequence qov.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 + 1 + -6 + -15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1794 - 2*r**2 - 1794 + 132*r - 1539*r in the form j*r**2 + m + z*r and give z.\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 50*s + 12. Let z(m) = -51*m - 13. Let k(g) = 6*x(g) + 5*z(g). What is the derivative of k(n) wrt n?\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*-3)\/((-45)\/60). What is the second smallest value in p, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -b - 1, 9*b - 7*b = w - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -41*u + 503. Determine x(10).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -4*z + 209. Let j(k) = k**2 - 15*k - 86. Let q be j(z). Which is the second smallest value? (a) q (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1691\/(-267)*(-18)\/(-24)\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 41*z - 40*z - 610, z - 3*o = 613. Let q = -556 + z. What is the remainder when 233 is divided by q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.0059 - -3.7059. Let k = 0.2 + -0.4. What is the nearest to 7 in k, 2\/13, n?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872455148.\nAnswer: 2, 19, 191, 60103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5828*o**2 - 6*o - 1764 + 1763 - 1854*o**2.\nAnswer: -7682*o**2 - 6*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*u**2 - 52*u**6 - 2*u**5 + 23*u**2 - 6*u**2 + 34 - u**2 wrt u?\nAnswer: -6240*u**3 - 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374793049.\nAnswer: 374793049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*t - 27 + 34 = 0, 5 = -z - 2*t for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 5*x + 4*x)*(542*x + 1 + 4 - 533*x)*(1 + 0 + 1)*(9 - 9 + x).\nAnswer: -36*x**3 - 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -198, -394, -590, -786, -982, -1178?\n\"Answer: -196*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 + 13*r + 3. Suppose 22*b - 16 = 18*b. Let f be k(b). Solve -d - 5 = -4*z + f, 3*d = -4*z - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 78552370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vahyi. Give prob of sequence ahy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13585*l**3 + 5*l - 4. Let s be a(1). Let n = s + 6034. Round n to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by (-12)\/21 + 360\/42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 15783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/275 and (-3815)\/(-4095) - (-2)\/(-13)?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**6\/120 + j**5\/5 - 11*j**4\/24 + 2*j**3 - 4*j**2. Calculate the remainder when 35 is divided by t(11).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 9. Let i be y(-11). Let q be (i - -1)\/(8 - 9). Suppose 2*m = d + 5*m - 9, q = 3*d - 4*m. Solve s - 4*s - d = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j = -51 + 59 - 239 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 10:30 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Let z be ((-3)\/6)\/(a\/(-192)). Suppose -z = -g - g. What is the greatest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/68 and 41\/10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.081779 + 263430?\nAnswer: 263324.918221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 890 + 592. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 15) in base 11?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:20 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -3)*(-1)\/3. Solve u = -0*m - 3*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 23*i + 126 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 10*y**2 + 14*y + 12. Suppose 17*m - 30 + 200 = 0. Give c(m).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -426569.08 rounded to the nearest 10000?\nAnswer: -430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/(-14208)*-1296)\/(18\/160)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doodgodgdgggggdooooo. Give prob of sequence od.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -6, -2\/3, -0.7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.462 + -18.548. Let w = t - -0.01. Let g = -23.52 - w. Round g to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1276912.\nAnswer: 2, 7, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 8*a**5\/5 + a**4\/2 - 32*a**3\/3 + 5054*a - 1940. What is the derivative of q(o) wrt o?\nAnswer: 32*o**3 + 6*o**2 - 64*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 2:11 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {v: 5, b: 4, l: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from {c: 3, v: 2, h: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - 45\/(-4 + -5). Factor 7\/3*s**3 - 5\/3*s**n + 0 - 2\/3*s.\nAnswer: s*(s - 1)*(7*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + v + 2 = -2, 2*k + 3*v = 13. Suppose 5*z - k*j - 570 = 0, 2*z + 120 = 3*z - 4*j. Is (z - -4)\/2 + 2 + -3 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10941\/11 at least as big as -995?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f - 2. Let x be s(4). Suppose 0*u + x = u. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u. Let i(x) = -2353*x**2. Give i(j(d)).\nAnswer: -397657*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4555*u + 770*u**2 + 6 - 4555*u - 8 as h*u + s*u**2 + r and give s.\nAnswer: 770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37414337, 37414334, 37414331, 37414328, 37414325?\nAnswer: 37414322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 151, 123?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2. Let x(d) = 3*d**2 - 22*d + 22*d. Give i(x(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 + 2*m**4\/3 + 31*m**3\/3 + 34*m**2\/3 + 8*m\/3 = 0. Calculate m.\nAnswer: -2, -1, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4438924, 4438984, 4439044, 4439104?\nAnswer: 4439164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((5\/30)\/1*-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -82*y**3 + 4*y**2 - 5. Let i be l(2). Let c = 738 + i. What is the remainder when c is divided by (-2)\/3 - (-59)\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3 + 86524*y**2 - 191101470*y + 102969482400 = 0. Calculate y.\nAnswer: -45392, 1065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 65386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -21*z + 17*z + 58, 42 = 3*z + u. Put -25, z, 5 in descending order.\nAnswer: z, 5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224*f - 9974*f = 192500 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7562116 by 1890529.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -6. Let g(s) = -23*s**2 - d*s**2 + 37*s**2. Let p(i) = -14*i - 7. Let b(t) = 5*t + 2. Let j(u) = -14*b(u) - 4*p(u). Determine j(g(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -75874 + 3?\nAnswer: -75871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**5\/210 - 5*t**4\/14 - 64*t**3\/21 + 201*t**2 - 2. Factor g(u).\nAnswer: 2*(u - 32)*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68172.\nAnswer: 2, 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.4 + -178.4. Let d = f - -145.06. What is the nearest to 0.2 in d, -0.4, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 2*u + 25. Suppose 69 = u*v - 16. Solve -3*j = -4*x + 4 + v, 4*j - x = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 - 69 - (21 + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4016 + 4011. Let a = 11.5 - 7. Let j = a + -4. What is the smallest value in j, r, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -w + 25, -d + 2*d = -2*w + 15. Let f = -258 - -257.7. What is the closest to f in -4, w, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11734*r - 11710*r + 528 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55726, -111452, -167178, -222904?\n\"Answer: -55726*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108215820 and 15660?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, g: 2, q: 1}. Give prob of picking 1 u and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105799 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -484 and 636 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5244, 10531, 15864, 21243?\nAnswer: 26668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvr when three letters picked without replacement from vvrvvrvrvr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 7*q**2\/2 - 7*q - 7. Let v(k) = -11*k + 11. Let w(z) = 8*z. Let h be w(-1). What is h*r(i) - 5*v(i)?\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 8:35 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23965, -23963, -23961?\n\"Answer: 2*f - 23967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/24)\/(369\/(-328)))\/(-1).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + (6 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -423.189 or -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -18. Let z(v) = v**3 - 8*v**2 - 8*v - 2. Let r be z(w). Suppose r = h - 41. Calculate the remainder when h is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78748\/7 + -11206. Let p = -44 + k. Let z = 0.11 + 1.89. Which is bigger: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 12. Suppose a + z = -1. Let h(c) = -c**3 - 7*c**2 + 7*c - 7. What is the units digit of h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/40 and 58\/75.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.88 - -21. Let c = q - -2.98. Round c to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2 = -g - 0*b, b = 5*g - 48. Let q(s) = s**2 - 4*s - 9. Is q(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47994124.43 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/9 + -1)*747\/(-1328). Which is the biggest value? (a) z (b) 32 (c) -1\/2 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 0. Let t be q*(-1 - (-2)\/4). Suppose c - 1 = -c + i, 5*c + t*i = -20. Is c smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508729153?\nAnswer: 508729153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -110 + 110.2. Let u = -4 - -1. Which is the third biggest value? (a) u (b) 12 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 33*r - 19. Let w(g) = -15*g + 9. Let h(y) = -2*k(y) - 5*w(y). Determine h(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m\/(m\/((m*m*(((m\/(m*((m**(-2)\/m)\/m)\/m))\/m)\/m*m)\/m)\/m))*m)*m*m))**(-26)\/(m**(7\/5)\/(m\/((m**11*m)\/m))))**(9\/11) assuming m is positive.\nAnswer: m**(-2853\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/221481?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/7)*j**(-2\/7)*j*j)**(2\/23) assuming j is positive.\nAnswer: j**(36\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -14\/2871207?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18420 is divided by 271?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*a - u - 3, -1650*u + 18 = a - 1656*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 25*x + 251*x + 683, 0 = 376*i - 378*i + 2*x + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -794396 or -794388?\nAnswer: -794396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 107*x**2*z**3 + x**2*z + 9*x**2 - x*z**3 - 984*x*z**2 wrt x?\nAnswer: 214*z**3 + 2*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -202, 3 in descending order.\nAnswer: 3, 0, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 38*a - 194. Let k(y) = -24*y + 125. Let n(r) = -7*j(r) - 11*k(r). Let g = -10 + -1. Give n(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose -59*j + 53 = -183. Solve -j*a + 16 = -i*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + w**3 - 2*w**3 - 3 - 4*w**2 + 0*w**2. Let i(v) = -v - 2. Let f be -2*3\/(-3*1). Let a be i(f). Give x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 10125*i**5 - 26325*i**4 - 902610*i**3 - 357996*i**2 - 47592*i - 2112 = 0.\nAnswer: -8, -2\/15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 3, w: 5, t: 1, s: 1}. What is prob of sequence thh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 337 and 2917166023.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 2160.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-5 + (sqrt(176) + 1 + -1)*4 + -5)*6)**2.\nAnswer: -11520*sqrt(11) + 104974","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21857287 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -67*n**4\/12 - 103*n**3\/6 + 18*n**2 + 1. What is the first derivative of k(j) wrt j?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-3*(-2)\/6. Let w(z) = 18*z**3 - z**2 + z - 1. Does 12 divide w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 5:30 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 686*f**2 + 4814*f + 27. Give q(-7).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 4, 1, -2, -28 in descending order.\nAnswer: 4, 1, -2, -28, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4398525275 - 51765.\nAnswer: -4398577040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6487515.54 and -2.618.\nAnswer: -6487518.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45667 is divided by 625.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 87299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46413.95 millimeters in meters?\nAnswer: 46.41395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -391*z**6 + 2*z**5 + 7*z**4 - 236*z**2 + 1 wrt z?\nAnswer: -46920*z**3 + 120*z**2 + 168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 810952.9ml?\nAnswer: 810.9529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c**2 + 293*c - 2. Let t(x) = 22*x**2 - 294*x + 3. Calculate 5*g(z) + 4*t(z).\nAnswer: -2*z**2 + 289*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14611740 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 12*h = -242. Let u = h - -100. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*y + 795*y + 12*y**3 + 8*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 232, -3, -1 in descending order.\nAnswer: 232, 3, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -18.7 and 25.037.\nAnswer: 6.337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*a + 4*w, 7*a - 13 = 2*a + 3*w. Suppose 1069 = -a*v + 3704. Suppose 1049 = 4*t + k - 4*k, -k - v = -2*t. Is 38 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 620160?\nAnswer: -620156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - -2*(44\/(-16) + 4). Let z = 1 + -2. What is the closest to z in 0.2, -6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvi when three letters picked without replacement from {w: 1, x: 2, i: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 19*w + 42. Give c(-13).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1660462?\nAnswer: 2, 23, 36097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1222*j**2 + 785*j**2 - 1015*j**2. Let x(m) = -m**2. What is z(x(a))?\nAnswer: -1452*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.7, -0.5.\nAnswer: -1.7, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qovvoqvvr. What is prob of sequence qv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, 13803, 0 in increasing order.\nAnswer: -110, 0, 13803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25895?\nAnswer: 5, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o + 2*o - 2*o)*(29 + 55 + 1) as y*o + b and give y.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(288))**2 + 0 + (2 + sqrt(288))*3 + (sqrt(80)\/sqrt(160))\/(sqrt(36)\/sqrt(36)).\nAnswer: 73*sqrt(2)\/2 + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 30 = -0*m + 5*w, 0 = 4*m - 2*w - 24. Suppose 0 = -4*o - m - 7. Let x = 9 + o. What is the lowest common multiple of x and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 879*m**2 - 690*m**2 - 191*m**2. Let b(d) = 170*d + 2. Calculate l(b(s)).\nAnswer: -57800*s**2 - 1360*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {b: 7, l: 8, t: 3}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 36*v**2 - 254*v + 33. Let b be x(-27). Which is bigger: b or 324?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbw when three letters picked without replacement from {c: 1, u: 5, h: 1, z: 5, b: 3, w: 3}.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3 - 368\/(-224)*-2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112625 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028515 - (-8)\/24*0\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 162*l + 32. Let k be j(6). Let r = -684 + k. Is 40 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59 (base 11) to base 5.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 10:48 AM?\nAnswer: 515","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 58 = 62. Suppose h = -1 + m. Which is the second biggest value? (a) h (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/40 + (6\/8 - 33\/88).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 4, p: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 30 + 20 - 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 31. Which is the nearest to -1? (a) -2 (b) 15 (c) q (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63860929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1\/2)*2. Let r = -6333 + 6333.7. Which is the biggest value? (a) -1\/4 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -217, -41, 113?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 59. Put q, -8, 0, 1 in decreasing order.\nAnswer: q, 1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6511040 (base 7) to base 3\nAnswer: -1111021101022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(-7\/4)\/k)*k*k**14\/k*k*k)\/(k**(-2)\/k)**(-6\/11) assuming k is positive.\nAnswer: k**(841\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose f = 2*x - 2*k - 16, x + 3*k + 0 = -4. Suppose 0 = x*h - 280 - 835. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*0.55543.\nAnswer: -0.0111086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 307 = 3*a - 832, 3*a = 2*v + 543. Suppose 3*u = -185 + a. Let s = 9 + -6. Put 1, u, s in increasing order.\nAnswer: u, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24971\/9 - 2775. What is the closest to -1 in 12\/25, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 18. Does 5 divide r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6911)\/(-7) - (-24)\/(-84). Suppose -j + 749 = -2*b + 5*b, j = 4*b - g. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28578 - -483623.\nAnswer: 483623.28578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010110101101010001110 (base 2) to base 14.\nAnswer: -53d610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*o**3 - 237664*o**2 - 11038244*o + 2464680 = 0. Calculate o.\nAnswer: -6555, -47, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, 5, 3, -2, 4, 27 in ascending order.\nAnswer: -194, -2, 3, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1073423869 rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*a = 429*a - 4818 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o**3 + 14*o**3 + o + 4 - 4*o + 2*o to l + c*o + a*o**2 + y*o**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41234*l**2*u**3 - l**2*u - 52*l**2 - 4*l - 2 wrt u.\nAnswer: 247404*l**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1599*v**3 - 2462*v**3 - 2748*v**3.\nAnswer: -6809*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 292680 and 219510?\nAnswer: 878040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(190) + sqrt(190))*-6*2)\/(-2*sqrt(640) - ((-2*sqrt(1000) + sqrt(1000) - sqrt(1000)) + sqrt(10))).\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 7*p + 10. Suppose -p*r = -4 - 2. Let g = 3 + 8. Solve -r*k + 2*u - g = 0, -5*k + 4*u + 0*u = 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**(8\/9)))\/((x*(x**(-10)\/x)\/x)\/x))**(9\/10) assuming x is positive.\nAnswer: x**(107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42\/11 - -40\/11. Let l = -21.1 - -22.18. Which is the smallest value? (a) 1\/7 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 divided by 3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 7:02 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from txpwo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -10. Differentiate -3*d**4 + 3 - 2 + v*d**4 wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b + 0*b - 3*b.\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1162 or 1120?\nAnswer: 1162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/6 + 41*w**3\/3 + 11*w**2 - w + 2. Calculate u(-9).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3051.3 + 3053. Which is the fourth biggest value? (a) 0.5 (b) 8 (c) v (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**2*v**3 - 324553018*l**2*v**2 - 2833339*l*v**3 - l*v**2 + 11*l*v wrt l?\nAnswer: -4*v**3 - 649106036*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -47*o + 39*o. Let b(s) = s - 6. Let w(k) = -k + 7. Let p(u) = o*w(u) + 4*b(u). Determine p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*x**2 + 9*x**2 - 22 + 20 as d*x + z*x**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11 - -3) + 16 - 11) + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 28*z**4 - 97028*z**3 + 46036368*z**2 - 13145328*z = 0?\nAnswer: 0, 2\/7, 567, 2898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 154 by -3.\nAnswer: -154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, -2\/17, 0.37, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 199 = -39. Which is bigger: f or -25?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1332)\/74*(-3)\/(9\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -6.0410174.\nAnswer: 30.205087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243912762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*j = -1291*j + 22953 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.1664583 hours?\nAnswer: 599249880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.41 - 0.18. Let m = 105.59 + -105. Let y = o - m. Round y to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/435 and -41\/6.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 162*f + 10599. Calculate u(-66).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3128427 is divided by 2363.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 12*t - 8*t - 8, -3*t = -4*d - 27. Let u(l) = -6*l + 11. Let n be u(t). Sort -3, 4, n.\nAnswer: n, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 1065*v**2 + 17*v + 12. Let u be -3*4\/2*(0 + 2). Let x be w(u). Let y = 249168 - x. What is y rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 8636785*b**2 + 3729698438415*b - 3729707075205.\nAnswer: 5*(b - 1)*(b + 863679)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 35*j + 23. Let g(h) = 5*h**2. Give x(g(k)).\nAnswer: 175*k**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*x**3 + 91*x**3 + x**2 + 62*x + 93*x**3 in the form g*x**2 + o*x**3 + r + s*x and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(12 - 10) - 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + 4.8. Let x = -11.2 - -11. Let f = x + -3.8. What is the third biggest value in w, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 4*t**2 + 7*t + 34. Let u be c(-3). Solve 5*i - 2*w = 11, 3*i + 3 - u = 4*w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23140*h**4 + 99266 wrt h?\nAnswer: -92560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 15, -20 = w - 3*o - 15. Solve -18 = -7*b - w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**3\/9 + 356*s**2\/9 - 350*s\/3 = 0?\nAnswer: 0, 3, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 7*z - 8. Let l be n(-8). Suppose -w + 5*w - 16 = l. Solve 15 = -2*d + 3*r, -16 = 3*d - r - w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 8:03 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by -9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 714.292 - -1.708. Let h = o + -712. What is the biggest value in -1, 1\/5, 3\/7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/660 and 83\/420.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 423102929 less than or equal to 423102930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 - 0.3. Let f = 88.8 + -89. Let o be (3 + 21\/(-6))*-5. Which is the closest to q? (a) 0.4 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470 = 110*y + 80 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(425) + 1) - (-2 + sqrt(425) + 4 - sqrt(425)))**2.\nAnswer: 150*sqrt(17) + 3852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2208624*f**2 - 9*f**3 + 2208623*f**2 - 17*f**3.\nAnswer: -26*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/7 (b) 0 (c) 0.4 (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*a + 46*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 440\/36 + 2\/(-9). Suppose -j - 5 = -p. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - 5.09. Let c = -6 - q. Let t = 1662.9 - 1663. What is the nearest to -3\/5 in c, 2\/9, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/9, 4.7 in descending order.\nAnswer: 4.7, 2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/5 - 2*q**3\/5 + 441*q**2\/5 + 2*q\/5 - 88 = 0.\nAnswer: -22, -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/2)\/((-2)\/(-10)). Let y(j) = j**2 - 10*j + 2. Let l be y(10). Let p(h) = -3 - 2*h**l + h**2 - i*h + 3*h. What is p(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -56, -57, -58, -59, -60, -61?\n\"Answer: -y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.33 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.036, 2.2, -0.3, -3\/2, -7, 3 in decreasing order.\nAnswer: 3, 2.2, -0.036, -0.3, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 1:27 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.06, 0.2, -19, 3\/2, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-373)\/1865 + 47\/(-5))\/(6\/20)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (1\/(-3) + -1))\/(888\/(-65268))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13747 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -75. Let t = 7 + q. Calculate the remainder when t is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14714 + -6.8?\nAnswer: -14720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 160*h.\nAnswer: -5*h*(h + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -18, 8283.\nAnswer: -18, -0.1, 8283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 163816305.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.26 + -1.36. Put o, 5, 7 in ascending order.\nAnswer: o, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 135*n - 16. Let t be a(3). Let y = t + -184. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 7:15 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1379 - 1379 + 14*b to the form g + a*b and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**6\/10 + k**3\/3 + k + 1. Let q(v) be the first derivative of r(v). What is the second derivative of q(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 738, 0, -2, 1 in decreasing order.\nAnswer: 738, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5383*s**2 + 2789*s**2 - 10569*s**2.\nAnswer: -2397*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14388844 at most as big as 14388849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3*i + 21, 2*g + g = 5*i + 11. Let o be (0 - 1 - g)\/11. Which is the closest to 2? (a) -2\/9 (b) 4\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -898*b + 827*b - 294238200. Round b to the nearest ten thousand.\nAnswer: -4140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 7*p + 6. Let u be s(5). Let x(i) = -i + 21. Let f be x(u). Suppose -f*v + 26*v = 293. What are the prime factors of v?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((1 + sqrt(1539) - sqrt(19)) + -4 + sqrt(76) - (sqrt(76)\/(-3*sqrt(8)\/sqrt(2)))**2) + -1).\nAnswer: -30*sqrt(19) + 55\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09434 and 38.8?\nAnswer: 3.660392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(22)\/(sqrt(33)\/(sqrt(3)*-2)).\nAnswer: -2*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -558 - -568. Find the second derivative of 3*w + n*w**2 - 103 - 26*w**4 + 5*w**2 + 4*w**2 - w + 28*w**4 wrt w.\nAnswer: 24*w**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 5*l - 16, -2*l - j - j = 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 16*d**2 + 503*d - 600. Determine w(-32).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, 0.08, 3\/5, -9.8?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 0.4 (b) 2\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (11 - 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 49.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147 or 505?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 12, j: 5}. What is prob of picking 1 f and 2 j?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/2458665 and 76\/26151255?\nAnswer: 287663805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391 = 1586*n - 1563*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -11210011?\nAnswer: 11210023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3857, 3859, 3861?\nAnswer: 3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-45))\/(-10*25\/(-500)))\/(4\/(-730))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 4*b - 1. Let h be n(3). Let t(s) = 21*s**2 + s**h + 3*s - 6*s + 2*s. Is t(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4615 and 209534845.\nAnswer: 4615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Suppose p*k = -0*k. Let n(s) = 0 - s**3 + 2*s**3 + 3*s**2 + 5 - 4*s**2. What is n(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 2*h = 4*g - 194, 5*g + 270 = -3*h. Let u = -14 - g. Calculate the remainder when u is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 2.6, -2\/5 in decreasing order.\nAnswer: 2.6, 2, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one fifths of a decade?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3077 = -3*d + 4*m + 3076, -4*d + 8*m - 6*m = -4*d - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 17, 30.\nAnswer: 0, 7, 17, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 4 + (1 - (-1 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/390)\/(28\/(-18)*(-106)\/371)?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3491 - 3346. Calculate the remainder when i is divided by 105.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 150*l - 67. Let k(x) = -150*x + 61. Let w(q) = 5*k(q) + 4*z(q). Differentiate w(b) wrt b.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5762 = t - 2455, 3*c - 10*t - 4909 = 0. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and -1.1627.\nAnswer: -15.1151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(1\/4)*u)\/u*u*u)\/u*u)\/u*(u\/(u*u**0))\/u)\/(u\/(u\/u**(2\/7)*u))**(8\/5))\/(u**(-2)\/(u**(-2\/9)*u))**(-33) assuming u is positive.\nAnswer: u**(-7583\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(567) + (sqrt(567) - (sqrt(567) - (sqrt(567) + 2*sqrt(567)*5)**2)) + (5 + sqrt(567) + 0)**2 + (sqrt(567) + sqrt(567) + sqrt(567)*-2)**2*6.\nAnswer: 108*sqrt(7) + 69196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -45) + 27 + -97?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiiiiiirii.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 18*x + 40. Let y be g(-20). Suppose y = 9*b - 10 + 172. Does 35 divide 3*4\/b*-306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Suppose -5*r = -4*d - 17, -5*r + 28 = 4*d - r. Calculate the least common multiple of 16 and p - (3 - d - 10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8755*p**2*y - 33*p**2 - 45685*p*y - p + 4*y - 1 wrt p.\nAnswer: -17510*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3918719 + -3918718.741003904. Let w = -0.259 + f. Round w to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - (-20)\/12)*6*-1. Let l be (-1)\/(-4) - 2\/8. Let s = l + m. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - 0.5. Let k = 1.1 + -0.8. Let b = 15747 + -15747.5. Put k, b, z in increasing order.\nAnswer: z, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, -6792.22, -3, 1\/9, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 1, -1, -7102, 50 in increasing order.\nAnswer: -7102, -1, 1, 27, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19500 + 34659. What are the prime factors of a?\nAnswer: 3, 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - 124.6. What is the fourth smallest value in 0.13, 3, g, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c4241 (base 13) in base 4?\nAnswer: -2300210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 - 13. Solve -j = -p*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d**3 - 6172949290*d**2 + 6172949290*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*c - 4*c - 5, -y + 15 = -4*c. Let z = -54540677\/1785 - -30555. Is y less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*k**3 + 114*k**3 + 779 - 6381.\nAnswer: 241*k**3 - 5602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*x - d + 3006, -5*x = -3*d - 7529. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-66)*9 + 5\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (165\/66)\/((-1)\/30). Let u = v - -92. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 188 + -182. Suppose 20 = -y + 2*y. Let b = y - 2. What is the least common multiple of b and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -5 (c) 0.4 (d) -1\/227 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 16. Let o be a(13). Let n(z) = -o*z**3 + 2*z + 14*z**2 + 4*z**3 - 17*z**2. What is n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 19*f**2 + 12*f - 22. Let g be r(9). Let d be (-2)\/5 - (-36)\/15. Calculate the highest common factor of g and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Let g be (1 - 2)\/((-2)\/14). Suppose g*z = 5*z + s. Solve 3*o + 27 = -z*o + 3*h, -4*o + h = 16 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 320 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 960554.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45221*y**2 + 14732*y wrt y?\nAnswer: 90442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-10) - (-252)\/70. Suppose -2*v - 3*v = -2*d + 17, -4 = v - d. Put -5, t, v in ascending order.\nAnswer: -5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*o + 675, 2*i + o = -4*o - 335. Let d = i + 976. Is d a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + sqrt(363))*1)**2 + -1*(-3*sqrt(9)\/sqrt(3) - (sqrt(3)*1 + sqrt(3))*-1) + -5.\nAnswer: 45*sqrt(3) + 362","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 204597386?\nAnswer: 204597386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 = -4*r - 2*w, 3*r + 4*w = 48. Let n(i) = 72*i + 18. Let h be n(r). Let t = h + 2225. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 3*i + i)*(-6 + 7 + 7) - 3 + 3 + i - 4*i + 0*i - 3 + 5 to w + z*i and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 567\/4050*-130 + (-10 - -29)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1 + 7 - 2*a - 14. Let g be p(-3). What is the tens digit of (166 - g) + 0 + -21 + 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2755)\/(-855) + (0 - 3 - 0). Let r(s) be the first derivative of 2*s**2 - y*s**3 + 1 - 6*s. Find h such that r(h) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.17 to one decimal place.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 21*z - 6 - 2*z**3 - 24*z + 664*z**2 + 3*z**3.\nAnswer: z**3 + 664*z**2 - 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -900 divided by 56?\nAnswer: -225\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -t + 5 + t + t as r + n*t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 666 and (6\/(-9))\/((-166)\/2739)?\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-20))\/((-18)\/1185)*6. Let w = -161 - -280. Let t = g + w. Which is the closest to -1? (a) 16 (b) -0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 divided by 69?\nAnswer: 29\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952 divided by -2?\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*v + 41*v - 83*v + 2*v**2.\nAnswer: 2*v**2 - 278*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -110\/2015571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 2.06. Let q = 5 + i. Sort 3\/4, q, -4 in descending order.\nAnswer: q, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (225\/175)\/((16\/14)\/(-4))*17762\/(-963)\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of g**4\/15 - 2*g**3\/15 - 4*g. Find y such that v(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124750?\nAnswer: 2, 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203779030?\nAnswer: 2, 5, 7, 13, 151, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 5*r**2 + 5*r - 5. Let y be d(4). Let k(q) be the first derivative of 1\/2*q**2 - 2 + q + 7\/3*q**3. Calculate k(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**5 - 5*t**5 - 6*t**5)*(4 - 3 + 0 + (1 - 1 + 1)*(3 - 4 + 3) + 0 - 2 + 3 + (1 + 2 - 4)*(-1 - 2 + 5)).\nAnswer: -38*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 6:49 PM?\nAnswer: 6:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*k - 18. Suppose 5*p - 2*p - k = 0. Let y(j) be the first derivative of -j**2\/2 + 7*j + 380. Calculate y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3 + sqrt(684)*-1 + sqrt(684) + sqrt(684)*2 + sqrt(684) + -1 + 1)*-1)**2.\nAnswer: 72*sqrt(19) + 6160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 633461752 by 34136.\nAnswer: 18557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6830100 or -34150497\/5?\nAnswer: -6830100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -66*s + 1230. Give o(19).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 8. Let l be w(-2). Calculate the remainder when 7 is divided by (-8)\/16 + l\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {h: 2, d: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4 + 124\/8. Let d = -64 + 112. What is the greatest common factor of c and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(-19)*g*g*g**(-4))\/(g**(6\/11))**(21\/5))**(16\/9) assuming g is positive.\nAnswer: g**(14704\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4)\/3 - 20395\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243040\/39200 - 1058\/(-10).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-6)*(-222)\/4 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-64)\/(-2) + 45\/(2115\/(-94)). Solve 0 = -176*g + 181*g - i for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2*4\/(-8)*-25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.41607 kilograms to tonnes.\nAnswer: 0.00841607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -111?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12781, 13182, 13583, 13984?\nAnswer: 14385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -5. Sort 1, 3, j.\nAnswer: 1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = -3*o, q + 0*q - 8 = -5*o. Solve -3*i + 4*f = 0, 5*i - i - o = 5*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 12*c - 26*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56969.98ug?\nAnswer: 56969980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(52) + (-3 + sqrt(52))**2.\nAnswer: -10*sqrt(13) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -630*k**2*o**2 + 30141268*k**2 - 499*k*o + o**2 wrt o.\nAnswer: -1260*k**2*o - 499*k + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 47. Suppose r*s - 33*s = -21. Let i(m) = m**2 + m - 2. Let q be i(-2). Solve q = 3*x - 14 - s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 168. Let t be h(0). Let v(i) = 2*i**2 + i - 9. Let d be v(4). Suppose 75 = 2*l + d. Calculate the highest common factor of t and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 566*g**2 - 13044*g - 19522. Determine u(-542).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2*y**3\/3 + 45680*y**2\/3 - 91366*y\/3 + 15228 = 0.\nAnswer: -22842, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/5 and 30\/101?\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3 + 0.3. Let c be 2\/8 - 0\/1. Put c, f, 0 in descending order.\nAnswer: c, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**3 + 5*p**4 + 3 + 2 - 7 to c*p**2 + t*p**3 + q*p**4 + r + v*p and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, k: 9, b: 3, s: 3}. What is prob of sequence xkbs?\nAnswer: 9\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125547 + -125547. Let w be 4\/14 - 206\/819. Is w less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448 = -4*i + 3*q, -190 = -5*i - 4*q + 370. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) 3\/2 (b) 1 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-12)*3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 299617 (base 16) to base 2\nAnswer: 1010011001011000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -162064*b*g + 210*b + 515161521*g wrt b.\nAnswer: -162064*g + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 337*n**2 + 7479*n - 10472. What is z(-313)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26720414 is divided by 1908597.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -7. Let m(r) = r + 11. Calculate the remainder when 2\/9 - 151\/(-9) is divided by m(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -31. What is the third biggest value in 1, 7, y, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (155 - 227 - 314)*(-259 - 4*g**2 + 259) to a*g**2 + d + o*g and give a.\nAnswer: 1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -15*l**4 - 20*l**3 + 105*l**2 + 50*l - 120 = 0.\nAnswer: -3, -4\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/114080 and -33\/3640.\nAnswer: 10381280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175 - -1. Suppose 3*x + 50 = w. 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 second smallest value in 3, -7946449, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 172, 336, 500, 664, 828?\n\"Answer: 164*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1499*x**2 + 6355. Let y(o) = -9*o. Give y(f(u)).\nAnswer: -13491*u**2 - 57195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*a - 1. Solve a*s**2 - 4*s**2 + 0 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 5. Let y(f) = 4 - 14 + 12. Suppose -2*a = -5*t + 47, -a + 4*t = 2*t + 21. Let u = a + 16. Calculate u*y(v) + 2*s(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -381780 divided by 505.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276497340?\nAnswer: 2, 3, 5, 7, 658327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 9:39 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 4*y - 0*b, 4*b - 2 = 5*y. Solve -f + 5 - y = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.5057143 rounded to 0 dps?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -85, -0.9 in decreasing order.\nAnswer: 20, -0.9, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -49. What is the highest common factor of 6 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -2 + -1 - -3. Find the third derivative of 9*t**3 + 202*t - 29*t**j - 202*t wrt t.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/9 - 5*j**2 - 193*j\/9 - 49\/3.\nAnswer: (j - 49)*(j + 1)*(j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11063?\nAnswer: 13, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.8691 to two decimal places.\nAnswer: -11.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 - 1) - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 2*j**2 - 101*j - 491. Let y be s(-5). Solve -22*r + 299 = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:33 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from bbbbbbbbppbbbpbppb.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1944 - 5.2. What is v rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c + 47 = 362. Let n = -36 + c. Let b = 0.38 - 0.08. What is the third smallest value in n, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*u + 5*g - 78, -2*u = -5*g + 48. Let q(m) = -2*m**2 - 9*m + 7. Let f be q(-7). Let v = u - f. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2821248 + -557227.\nAnswer: -3378475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*p + 5 = -6, 5*t + p = -53. Let r be -3*t\/3 + -2. Calculate the highest common factor of 40 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 3:05 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -17*m. Solve 4*q + 3*i + 2*i = -25, m = 5*q - 4*i - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g - 6. Let p(h) = 2*h - 12. Let f be p(6). Suppose -t = -4*u + 4*t - 30, f = 2*u + 3*t + 4. What is the units digit of w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2062\/7 + 294. Let x = 765\/7 - 109. Let n = x + b. What is the second smallest value in 0.1, 0.3, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51129896.\nAnswer: 2, 349, 18313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 + 2*b**3 + 11*b**2 - 12*b - 36.\nAnswer: -(b - 3)**2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (-3 + 0 + sqrt(2736)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -157*b + 154*b + 111. Suppose 217 = c + b. Let h = -27 + 47. What is the highest common divisor of c and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37717?\nAnswer: 37717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 4:46 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.24, 3.1, 0.01?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l + 9. Let i(v) be the first derivative of -3*v**2\/2 - 2*v + 9. Determine -18*i(z) - 4*s(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:16 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38650007 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013\/4 + 3 + (-13)\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 8.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3)*u)\/u)**44 assuming u is positive.\nAnswer: u**(88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -335.56071 to zero decimal places.\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggpfbcfpbfcpfs. What is prob of picking 1 f, 2 p, and 1 b?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1389 (b) -2 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34225 + 34226. Let v = 24 + 2. Put 0, m, v in decreasing order.\nAnswer: v, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 7*w + 3. Let i be o(-7). Let x be 4\/26*-1 - (-106)\/13. Solve 0 = i*m + m - x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/18259 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:33 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 410 by -4.\nAnswer: -205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2832)\/960 - 6\/20. Which is the closest to -1\/3? (a) o (b) -2 (c) -1 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 13 = 126*q - 121*q, 5*b - 3*q = 23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -24, -61, -138, -267, -460, -729?\n\"Answer: -2*k**3 - 8*k**2 + k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1234 by -6.\nAnswer: 617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u + 14. Let o(m) = 4*m - 9. Let n(h) = -2*h**3 + 13*h**2 + 7*h - 8. Let z be n(7). What is z*o(f) - 5*j(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -6)\/((-4)\/(-4)). Suppose 2*k - 15 = -a*k. List the prime factors of (-36 - 0)*(-1)\/k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 + 52*c - 5.\nAnswer: 52*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162003, -161966, -161903, -161814, -161699, -161558, -161391?\nAnswer: -161198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55411049773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115607 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 786.8293 and 2?\nAnswer: 1573.6586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831423.\nAnswer: 3, 191, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(1\/4)))**2*(c*c*c**(-3))\/c**(2\/17))**(2\/95) assuming c is positive.\nAnswer: c**(-21\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khkhkkjhhkkjh. What is prob of sequence khhj?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 55 - 0\/(1*-2). Suppose 1519*t - 1524*t = 3755. Let r = 805 + t. Which is smaller: u or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 4100*z + 224303. Calculate m(-54).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -16) + (25 - (-9 - -22)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -3 + -2 - 0. Let n = -3 - f. Suppose -2*z = -0*s - n*s - 34798, -4*s - 34804 = 4*z. What is s rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 193, 270, 347, 424, 501?\n\"Answer: 77*g + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**3 + 19572*u**2 + 15364 wrt u?\nAnswer: -6*u**2 + 39144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2 + 1389*p - 1386 = 0?\nAnswer: 1, 462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1, 1\/3, -0.3, -12675 in ascending order.\nAnswer: -12675, -1, -0.3, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - p)*(729 - 3378 - 492 - 891).\nAnswer: -4032*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**3*q*x - 218157683*i**3*x - 4*i**2*q*x - 144*i**2*q + 7*i**2*x + 7*q*x + 5*q + 41 wrt i?\nAnswer: -18*q*x - 1308946098*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*g - 1597605 + 3195202 - 1597616.\nAnswer: -7*g - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = -7. Let m be (-5)\/6*3\/n. Put -0.1, m, 3 in decreasing order.\nAnswer: 3, m, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 23*o + 2216. Let m be g(23). Is m > 2744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 = -y, y + 4*s = -3 + 31. Suppose -4*i = -y*i + 2*a + 74, 4*a + 63 = 3*i. Suppose -8 = -5*p + i. Solve -p*k + 0*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n + 3*n)*(5*n - 4*n + 0*n)*(0*n + 0*n - n) + 34*n**3 - 20*n**3 + 50*n**3 + (1 + 0 - 2)*(4*n**2 - 4*n**2 - 2*n**3).\nAnswer: 65*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37478313? (a) -4 (b) 2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 - 159*d - 160. Let b(s) = -5*s**2 + 160*s + 160. Let q(x) = 4*b(x) + 5*h(x). Determine y so that q(y) = 0.\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29.5 and 0.0359526.\nAnswer: -1.0606017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131102 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 3:56 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 3*b + 4. Suppose z + 0*z = 1. Suppose -v - 4 + 5 = -k, -2*k + z = -3*v. Let o be a(k). Solve y + y = 4*l - 2, o = 2*y - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -6. Let v = 2 - g. Is 6 a factor of (v + 1)\/((-3)\/(-51))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 9 + d + 28 - d**2 + 10*d. Let k(w) = w**2 - 6*w - 10. Let q(j) = -6*g(j) - 11*k(j). Differentiate q(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v + 3\/2*v**2 + 2\/3*v**3 + 1\/6*v**4 + 0. Determine b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 8:21 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, 0.1, 8, -1\/2, -1\/22 in decreasing order.\nAnswer: 13, 8, 0.1, -1\/22, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - h)*(319 - 38*h - 319).\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1140 - 3?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 + t - t)*((-2*t + 1 - 1)*(-1 + 4 - 4) - 2*t + 11*t + 2*t + (0*t + 0*t - t)*(-4 + 0 + 6)).\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25 - -40. Calculate the remainder when 118 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o + 248*o**2 - 502*o**2 + 253*o**2 + 8 + 14. Let f be n(-4). Which is greater: f or -17\/11?\nAnswer: -17\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -540 + 538. Let q be 1\/x + 154\/420. Sort q, -6\/11, 0.2 in descending order.\nAnswer: 0.2, q, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 23*l**2 - 2829*l + 67316. What is f(24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93000 divided by -18600.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - 4*w**2 - w**2)*(-4 + 39 + 0) as c + z*w**2 + x*w and give z.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)\/(22\/(-110)). Suppose 314 = g*v - 676. Does 66 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + 9) - (-29 + 6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*(-3906)\/(-13485)*58\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 2, 1, 3 in descending order.\nAnswer: 13, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 8, q: 5}. What is prob of sequence qqq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32100 and 4668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2262591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 - 97*c**2 + 778*c - 12185. What is d(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -253270387 != -253270386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*j + 10*j**2 - 24*j + 19*j - 91*j**3 wrt j?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14012 = 4*n - 211*w + 215*w, 5*n - 17539 = 3*w. What are the prime factors of n?\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 53926*d**2 - 6 - 53928*d**2 + 2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -88. Suppose -5*f + 2*f = 264. Calculate the least common multiple of d and (-3)\/(-3*(-4)\/f).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j + 1. Let b be n(-1). Let f(t) = 11*t**2 + 2*t - 2. Calculate the remainder when f(b) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 - 192.3. What is the nearest to -0.1 in -1, c, 0.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h - 14. Let j be a(-7). Let f be -4*(-3 + j + 1). What is the highest common factor of 16 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 8:06 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -691 + 687. Which is the second biggest value? (a) 4 (b) q (c) -0.03 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -718 - -724. Solve 0 = 2*g + 4*h - 2, 12*h - p = 4*g + 15*h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 294*w - 5*w**2 + w**4 - 519*w + 227*w + 2*w**3 in the form l*w + s*w**2 + k*w**3 + h*w**4 + o and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.2 - -13.2. Is d <= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 301*p + 1749. Is 232 a factor of q(-132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 848*q - 1695. Let s be f(2). What is the greatest common divisor of s and 5282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*8\/(-36) - (-74)\/3. Calculate the greatest common divisor of 48 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1768*h*n**3*o**3 + 32*h*n**3*o**2 + 6*h*n*o**3 - 150*n**3*o**2 - n**3*o wrt o?\nAnswer: 10608*h*n**3 + 36*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 24. Let h = v - -13. What is the remainder when 10 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 96*r**2 + 94 - 1129*r**3 - r**4 + 95 + 100 - 288 wrt r?\nAnswer: -24*r - 6774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxax when four letters picked without replacement from {a: 7, x: 12}.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253961961 to the nearest integer?\nAnswer: 15936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*b - 1370 - 848 = -218. Solve 131*u + 21 = o + 136*u, -b*u + 25 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 47, -3, -651, 0 in descending order.\nAnswer: 47, 3, 0, -2, -3, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10125415249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1387106289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 3 - 3*y**2 - 36*y**3 + 17 - 31 - 81. What is the second derivative of l(b) wrt b?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3218 + 219. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -s + 4*k - 12, 4*s - 16 = -3*k. Calculate the common denominator of 3003\/(-88)*s\/(-3) and 23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13511*l + 13515*l - 4*i + 40, 10*l - 15*i + 130 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.868 - 0.132. Put -33, f, 1\/4, -0.4 in increasing order.\nAnswer: -33, f, -0.4, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3151279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d + 16 = 17*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -40150 + 452453?\nAnswer: 412303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27366 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - -36. Let y = -37.7 + n. Let c = -20 - -32. Sort c, -1, y in descending order.\nAnswer: c, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a1ba891 - -3?\nAnswer: -a1ba88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -24, -32, -36, -36?\n\"Answer: 2*k**2 - 18*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, x: 4, q: 2, p: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 578 - 575. Solve -j + 0*k - k + 8 = 0, 0 = j - f*k + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -109*m - 3 + 372*m - 122*m - 43*m to the form b + t*m and give t.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72262486 divided by -6.\nAnswer: 36131243\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x. Let m(p) be the first derivative of -p**3\/2 + 4*p + 4. Let n(t) be the first derivative of m(t). Calculate n(y(s)).\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g - 1491*g**3 - 319 + 2*g**2 - 320 - 316 + 955 as j*g**2 + x + n*g + t*g**3 and give t.\nAnswer: -1491","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 16) in base 10?\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5087 + -2687. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 14. Let c be p(0). Suppose -l + 12 = l. Let o be 1\/3 + 922\/l. What is the highest common divisor of o and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 4 - 2. Suppose 0 = g - 2, -c + g + w = -2. What is the closest to 0.7 in 2, c, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-25)*2\/(-7).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6086351 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x + 2. Let b be q(5). What is the closest to -0.1 in 5, -4, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = -5. Let l(y) = -12*y**2 + 127*y**2 - y - o*y**2. Let d be l(-1). Calculate the greatest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3978 - 90.\nAnswer: 3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(24\/180). Solve -16 = -a*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*2 - -2. Suppose -a + 264 = i*a. What is a rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/(-488)*8\/156*-6\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 3. Let o be w(6). Calculate the highest common factor of o and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0064556 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5322.982 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a millennium in months?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 150, 151, 152, 153, 154, 155?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 + 28*i - 16. Let g be c(-10). Solve 15 - 3 = g*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 2. Let j = p - -1. Suppose -j*r - 3 - 11 = -n, -n - 3*r = 4. What is the lowest common multiple of n and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - j - 27*q = 774 - 936, 0 = -j - q + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2896 is divided by 567?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1053 - -32. Does 39 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4419 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 18*z + 618. Give h(-45).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*f + 2. Suppose 0 = 2*g + 2*g + 12. Sort f, -2, g in increasing order.\nAnswer: f, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**14*p*p\/(p*p\/(p*p*p\/(p\/(p**(-12)*p)))*p)*p*p assuming p is positive.\nAnswer: p**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 bigger than -82350\/323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 0*k**2 + 0*k**2 + k**5 + (-k**3 + k**3 - 2*k**3)*(-159 - 16*k**2 + 159) + 4*k**5 - k**5 + 0*k**5.\nAnswer: 36*k**5 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3482961999.\nAnswer: 3, 11, 1303, 81001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 18*h - 54. Solve 3*s - f + 0*f = -9, 2*s = -2*f - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = -1. Let n be (5 - (s + -1))*-1. Let u(r) = 5*r - 2. Let m be u(n). What is m rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8354 - -0.0354. Which is the third biggest value? (a) 1\/8 (b) i (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 + r - 8 + 10 as b + c*r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 19, 62, 123?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwaacaxawpccawcppc. Give prob of picking 1 p and 2 c.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/153)\/((-12)\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2506 + (58\/261 - 11\/9) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77427 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5534 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -961766843\/5204 - -184813. Let y = 9761\/11662164 - x. Let v = y - 20147\/24651. Find the common denominator of 51\/5 and v.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41 - (-6930)\/(-441)) + 1 + 2\/(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1745497*d**3*k*r**3 + 2*d**2*k - 17*d**2*r**2 - 142*d*r**3 - 1 wrt d?\nAnswer: -10472982*k*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1176 and 3526824.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*y - 32. What is the third derivative of -7*n + 0*n**y + 7*n - 5*n**6 - 11*n**2 wrt n?\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**4*v**3 - 2683*q**4 + 31703*q**2*v + 2*v**3 wrt q?\nAnswer: 48*q*v**3 - 64392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/818 and -89\/123557264.\nAnswer: 123557264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/6 + (-3)\/(-6). Let y be 4\/(-8) - 3\/(-2). Which is the second biggest value? (a) y (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**3 - 2*x**2 + 1 + 2*x**2 + x. What are the prime factors of f(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g + 98. Let u(l) = l**2 + l - 2. Let d be (-11)\/(-5) - 19\/95. Let o(j) = d*u(j) - f(j). What is the derivative of o(s) wrt s?\nAnswer: 4*s + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10105 + 17127. Let f = 27233.2207 - c. Let d = f + -1.23. What is d rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 16563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-3)*(-96)\/(-160).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008168 to 4 dps.\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 15*a**2 + 258*a - 3670. Give r(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6270395.\nAnswer: 5, 1254079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 39 - 2*r - 16 - 2*r + 2 - 2 + (0*r + r + r)*(5 - 3 + 0) + 3*r + 0*r - 2*r + r + r - 4*r)*(7*r + 32*r + 8*r).\nAnswer: -47*r**2 - 2585*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224*v - 1142 + 1142)*(-2 + 8 - 1) - 3*v + 6*v + 2*v + v + 0 + 0.\nAnswer: 1126*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -15. Let k = 16 + m. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2. Let w(n) = 1909*n**2 + 1905*n**2 + 2*n + 51 - 3811*n**2. Calculate w(s(j)).\nAnswer: 27*j**4 + 6*j**2 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228*h + 76*h + 71*h - 4*h**3 + 74*h + 3*h - 10 + h**2 to s*h**2 + i*h + g*h**3 + j and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*i + 363*i - 9902 + 46102 = -370*i for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 672 and 49?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/51181032 and -85\/51181032.\nAnswer: 51181032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 13. What is the highest common factor of b and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*z + 1832, 4*z + 661 - 2485 = 4*r. Suppose -z = -2*m - 2*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 1\/6*c**3 + 0 + 10*c + 1\/24*c**4 + 0*c**2. Solve d(m) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 53. Let u be -3 + (-2 + 4)*22\/z. Determine a, given that -1\/2*a**2 + 5\/2*a**3 - u*a + 3\/2*a**4 - 1 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6. Let v = 2 + w. Let s = v + 3. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/6)*(((x*x\/x**(-6))\/x)\/x)\/x)**8*x**(-3\/4)*x**(-4)*(x*x\/((x*x\/(x*x**1\/x*x*x))\/x)*x*x*x*x)**(-40) assuming x is positive.\nAnswer: x**(-3305\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -216972*c + 3688530. What is p(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -414*w + 43474. Determine i(105).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1581101 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12780 and 70?\nAnswer: 89460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -529.61983 and 0.5.\nAnswer: -264.809915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -97\/4. Suppose 107*n - 123*n - 16 = 0. Which is the closest to s? (a) -0.3 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:31 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from {r: 1, j: 1, u: 1, s: 2, d: 1, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (318\/12)\/(2\/4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3 - 3 + 68*a + 59*a. Let b(c) be the third derivative of -c**4\/12 + 7715*c**2. Calculate b(y(q)).\nAnswer: -254*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**3 + 177*x - 36*x**3 - x**3 - 42*x**3.\nAnswer: -73*x**3 + 177*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3211, -3561, -4119, -4885, -5859?\nAnswer: -7041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-7)*p*p\/(p\/(p**8*p))*p*(p*p**1)**12 assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/((200\/64)\/25)*30\/(-42).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555121 is divided by 2656.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25024262 (base 9) to base 14.\nAnswer: 18a85cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10b52b (base 14) in base 7?\nAnswer: -4556654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2412*o**3 - 4439*o**3 + 2266*o**3.\nAnswer: 239*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000132236859 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + 28. Let q = x - 36. Suppose 56 = 2*t + q*c, -2*c + c + 74 = 3*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-1 - (31 + 22)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 30 = 3*v. Let d(i) = -3*i**3 + 1. Let q be d(1). What is the remainder when v is divided by q - -5 - (9 + -14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 2*w**5 + 0*w**5 + (3 - 2*w**3 - 3)*(-2*w**2 + w**2 + 2*w**2) + (5*w - 15*w + 4*w)*(-w**4 - w**4 + 0*w**4).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -1 + (42*1)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4883 greater than or equal to 3391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81713903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 9*g - 18. Suppose -5*v - 25 = 0, -4*t - 4*v - 64 = -8*t. Let d be i(t). Solve -d*w - 28 = -4*m, 3*m + 0 = -w + 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6aa (base 13) to base 3.\nAnswer: -1120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a = 16*a - 25*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four thirds of a decade?\nAnswer: 2960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*o - 0. Let x be (-3 - (-3 - -3)) + o. Let n = -0.045 + -0.555. Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2576716, 2576714, 2576712?\n\"Answer: -2*r + 2576718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 153707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 50*s**2 + 0 + 8\/3*s**3 + 49\/24*s**4 + 0*s. What is the first derivative of v(l) wrt l?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36558 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9114 by -7.\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 49075962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1 + (-123)\/(-126)). Let x be (30\/7)\/((-3)\/p). Let f(u) = -u**2 - u + 12. Let a be f(0). Calculate the greatest common divisor of a and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1228588 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -94525670 divided by -47262835\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52509 and 241155?\nAnswer: 183518955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 9.9. Let x = 8763\/26 + -337. Let r = x - -11\/52. Are h and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301 (base 4) in base 13?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1930*a + 689. Let l(q) = 5790*q - 2057. Let r(f) = -2*l(f) - 7*w(f). Find the first derivative of r(p) wrt p.\nAnswer: 1930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 33 = 3*h + 3, 5*h + k = -68. Suppose 3*d + 77 = 4*u, -4*u + 65 = 3*d - 2*d. Let l = u + h. Solve 0 = -2*a + l*a + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6345 - 0.6345. Put -2, g, -2\/557 in descending order.\nAnswer: g, -2\/557, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 671 = -2*f, 7*a - 12*a + 3*f = -3383. Calculate the greatest common divisor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - q + 30142. Let x be o(0). Let h = -11371 + x. Suppose 19229 + h = k. What is k rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 422737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/(i*i*(i*i**(1\/11))\/i))\/i*i)\/i**(1\/4)*i\/i**(-4)*i**6*i assuming i is positive.\nAnswer: i**(557\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13806 = 2*m + 3*o, 1546*m = 1541*m - o + 34528. What are the prime factors of m?\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3 + 8*h**2 - 4819*h + 4810 = 0.\nAnswer: -74, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/5 of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 547*f**2 - 2*f**4 - 551*f**2 + 0*f + 107*f**3 + 6*f in the form h*f**4 + g*f**2 + r*f**3 + w + k*f and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 92\/20*(1 + 6244) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j**2 - 3*j**2 - 11*j**5 + 32*j + 109*j + 10*j**5 wrt j?\nAnswer: -20*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42039, -41933, -41827, -41721, -41615?\nAnswer: -41509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 98300925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 6 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f + 5 - 4 + 1 - 3*f. Let g be m(4). Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -180*u - 845. Let x be v(-6). Suppose 466 = -4*p + 3*q, -4 = q - 3*q. Let z = p + x. Is 32 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 8*m + 11. What is the remainder when 237 is divided by s(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -30. Let c(y) = y**3 - 4*y**2 - y + 4. What is c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30467648 and 30007?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 1\/9, 4, 8624?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.1. Let l = 3.064 - 3.014. Suppose 4*m + 0*k - 5*k + 16 = 0, 2*k = 0. Which is the second biggest value? (a) 3 (b) l (c) m (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t. Let d(c) = -35*c**2 - 14. Let m(f) = -12*f**2 - 5. Let p(r) = 5*d(r) - 14*m(r). Give v(p(h)).\nAnswer: -35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 26. Is z less than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*r**2 + 42*r**2 - r**3 - 89*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -3\/2 (c) -3292 (d) -42\/13 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 8.9. Let p(t) = t**3 - 5*t**2 + t - 3. Let n be p(5). Which is the third smallest value? (a) n (b) -1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 11. Let y be j(6). Suppose 4*h = -3*p + 1 + 3, -4*h = -p + 12. Solve p*c = y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let f(l) = -204*l**2. Determine y(f(k)).\nAnswer: 204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11128811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/(-12) + (-4)\/(-16). Suppose -w*t = -5*t - 5. Suppose 6 = -h + 7, 2*g - 3*h = -1. Calculate the highest common factor of t and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 6 = -31. What is the third smallest value in -0.08, -4, o, -2\/17?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.056318 and -66051.\nAnswer: -66051.056318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xfqdqxqffqqdf. What is prob of picking 2 d?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3095055 and 863280?\nAnswer: 4905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -319220 by -5.\nAnswer: 63844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 58*v + 432 = -768 - 1816 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000031754154 to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*x**2 - 2464*x**3 + 88*x**2 - 152*x**2 + 33*x**2 to w + b*x**2 + f*x**3 + t*x and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 7689, -1\/7, 1\/10, -3 in decreasing order.\nAnswer: 7689, 2\/5, 1\/10, -1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197739 is divided by 320.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 270 = -s. Suppose -3*k = -6*k - 4*t - 110, 0 = -5*k + 3*t - s. Let b = -11 - k. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**5 - 2412*f**4 - 336927*f**3 + 58096170*f**2 - 2374572000*f + 30074256000 = 0.\nAnswer: -457, 30, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0a139 (base 13) to base 11.\nAnswer: -2355230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 3, -6729 in descending order.\nAnswer: 3, 2, -1, -6729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -2*d**3\/3 + 2. Let p(z) be the second derivative of -5*z**3 - z + 1065. Calculate p(n(i)).\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15100, -15120, -15152, -15196?\nAnswer: -15252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 3.2, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2 + 5*u - 5. Suppose -4*z + 4*o = 12, 0 = 4*z - 3*z + o + 7. Let r(d) = -8*d**2 + 7*d - 7. Determine z*r(y) + 7*x(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -53, -68, -91?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 b, and 2 l when four letters picked without replacement from lnbnlanfalbanbffflf.\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -6. Let x(z) = -z**2 - z. Let b be 30\/(-25) + 1\/5. Let j be x(b). Solve 3*g + c = -j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b + 234 - 234. Determine t(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246116 is divided by 280?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407 - -471.2. Let a = x - 53. Let n = 11.1902 - a. Round n to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/6039 + -4028\/6039. Let d = 451\/12 + -106\/3. Let o be (-24)\/15 + -1 + 3. What is the closest to l in 1\/3, d, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 5124\/11*z**3 - 1998\/11*z**2 - 2424\/11*z - 408\/11 - 294\/11*z**4 = 0.\nAnswer: -2\/7, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + j**2)*(-3*j - j + 3*j)*((-j - 3*j + 8*j)*(-13 + 16*j + 13) + 13*j**2 + 11*j**2 + 48*j**2).\nAnswer: -136*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2*46)\/(3 - 1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 13\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 - 2*j**2 - 2*j - 23. Let a(r) = 16*r**3 + 11*r**2 + 11*r + 115. Determine -2*a(t) - 11*z(t).\nAnswer: t**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20296*j - 3043*j + 1638*j + 6423*j + 3707*j.\nAnswer: 29021*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 116, -29, -5 in descending order.\nAnswer: 116, 2, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*q - 2353 + 2369 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 5. Let k be u(-7). Let d be (-4)\/(-10) + 18\/5. Suppose 4*a = 4*m - 16, -12 + 4 = -d*a. Solve k*r - m = -0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1488 = 465*r + 279*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 80*x - 5. What are the prime factors of t(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8031*k - 208834. What is s(-26)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5621\/99 - (-2)\/9. Suppose -5*b + 2*b = -g. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -656787029?\nAnswer: -656787029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-109 - (-7152)\/60) + -10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/3 in 4, -239, 2\/1889?\nAnswer: 2\/1889","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2794 + 2820 = 5*j + 5514, 0 = -2*j + 3*f + 45 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -824782?\nAnswer: 824786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-210)\/(-18))*142\/2130.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7 = 2*a, 0 = -3*r + 5*a - 0*a - 11. Which is greater: r or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 + -9. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1874 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -1.4. Let y = c + 1.1. What is the second smallest value in -2, y, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 406372*o + 406368*o - 188 = 0, -3*o = p + 148 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + f**3 + 3*f**2 + (-2*f + 0*f + 0*f)*(89*f**2 - 238*f**2 - 192*f**2).\nAnswer: 683*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 218 - 141. Suppose y*r - 4219 = -853. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88\/19*k**2 + 2\/19*k**4 - 2816\/19*k + 6144\/19 + 50\/19*k**3 = 0. What is k?\nAnswer: -16, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2\/((-4)\/132*-6) and 40\/6*(-6)\/(-4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*d + 5*t + 190, -2*d - 4*t = 56. Let o = 58 + d. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let d(n) = 68*n**2 + 120*n**2 + 42*n**2 + 79*n**2 - 90*n**2. Calculate o(d(s)).\nAnswer: -47961*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 4278 = 18510. Let d = 3772 + s. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -250 + -3*35\/21. Calculate the least common multiple of 20 and ((-306)\/f)\/((-2)\/(-80)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218 or -293?\nAnswer: -293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(((-7)\/(7\/2))\/(-2)). Suppose d = -4*j + 35 + 221. Let w = 67 - j. Solve -3 = -n, -w*p + 21 = -0*p + 5*n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, r: 1, s: 10, j: 3}. What is prob of picking 1 r and 1 s?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 20 = -j, -3*t + 24 = -3*j + 66. Let u be 4\/3 - 4\/j. Let w(o) = -3*o**2 + o - 1. What is w(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = -5*k, 3*x - 6 = -0. Let c(q) = k*q**2 + 2*q**2 - 2*q**2. Let b(u) = -16*u**2 + 501*u - 501*u. Calculate c(b(a)).\nAnswer: 512*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/6067 - 236623\/60670. What is the common denominator of -137\/12 and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 82, 0.846, -3\/7?\nAnswer: 0.846","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 123 (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 57*y. Let q(w) = -158*w + 70. Let b(j) = -54*j + 20. Let c(d) = -7*b(d) + 2*q(d). What is a(c(x))?\nAnswer: 3534*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3545?\nAnswer: 5, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**2 + 4*v**6 - 8*v**2 + 5*v**6 - 4*v**2 wrt v.\nAnswer: 1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*y - 3)*(4 - 4 + 2*y**2).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/(-2))\/(2*-2 + (-10304)\/(-1760)) and 40\/153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0848 and -1695.90869.\nAnswer: -1695.82389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -3\/4 (b) 1 (c) 4 (d) -13\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 52. Suppose k = -2*r - 2 + 74, -1 = r. Suppose -2 + k = 3*z. What is the remainder when z is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tggg when four letters picked without replacement from {m: 4, g: 3, t: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from iioocii?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(((v\/v**(-17))\/v)\/v))\/(v*v\/(v\/(v\/(v\/(v*v**(-1\/16))*v))))*(v*v**(6\/13)*v)\/v*v*v**12 assuming v is positive.\nAnswer: v**(-307\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**3 - 4*u**2 - u**2 - 82*u**3.\nAnswer: -113*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-1)\/3 - -17. Let n = -9 + r. Let d be (-798)\/(-33) - (-10)\/(-55). What is the greatest common factor of d and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 331 + -398. Let u = l + 67.00000432. What is u rounded to 7 dps?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22726*c**2 + 2*c + 4057.\nAnswer: -45452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 316500 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 17 + 1. Solve b*l + 0 = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7641361?\nAnswer: 7, 13, 131, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 81*x - 42 - 48*x - 38*x. Suppose 0 = -3*q - 3*z - z - 49, -5*q + 3*z = 43. What are the prime factors of y(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 11 + 9 = -d, -14 = d + 3*g for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, -2\/71, -0.27 in decreasing order.\nAnswer: -2\/71, -0.27, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, m: 2, a: 2, i: 1, s: 4, p: 1}. Give prob of picking 1 i, 1 m, 1 p, and 1 q.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 71149 - t**2 - 71149.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/55286 and -66\/175.\nAnswer: 1382150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {b: 1, j: 5, x: 1, y: 9, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 906736 = 906703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0335 - 601.9665. Let t = 592.1 + j. Round t to 1 dp.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104531475, 104531474, 104531473, 104531472, 104531471, 104531470?\n\"Answer: -y + 104531476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 46*y**3 + 3*y - 1. Let q be m(1). Let t be (-160)\/q*((-36)\/(-10))\/(-3). Let j(o) = o**3 - 5*o**2 + 3*o. Calculate j(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Suppose 4*w - k = 3*w. Factor 0*r**w + 4\/7*r + 2\/7 - 4\/7*r**3 - 2\/7*r**4.\nAnswer: -2*(r - 1)*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32692 + 32696. What is the closest to -5 in s, 20, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52143442 to the power of 1\/2, to the nearest integer?\nAnswer: 7221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 582754209 to the nearest integer?\nAnswer: 24140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 37*l + 8. Give s(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**5\/20 + t**4\/12 + 2*t**3\/3 - t**2\/2 + 18*t - 25. Give r(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-45)\/(-18) - 7 - (0 + -5). Let o = -0.9 + 5.9. What is the closest to p in o, -0.6, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3170 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 13*l = -30. Calculate the least common multiple of l and 63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 + -69. Let t = 9 - g. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1*(-3)\/(-6))\/((-5)\/950). Let n = 244 + k. Calculate the remainder when n is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 14. Put 5, x, 0 in decreasing order.\nAnswer: x, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**2 - 33*m - 34. Calculate u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40588126?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-36))\/((-627)\/(-342)).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 25 = -5*s. Let k(f) = -f - 4 + 0 - 3 + 5. Let a be k(s). Sort a, 3, -2.\nAnswer: a, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 12 = 3*n. Suppose 0*m - 100 = n*m. Let a = 70 + m. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 24 = -l + 4, -12 = -4*h + l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 0\/(-1 + 6). Let n = -15 + a. Is n != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105169 - 16367 = 1771*k - 4303*k for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*o + 8. Suppose 0*j + 5*d + 75 = o*j, -4*j - 3*d + 111 = 0. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 153\/644 - -2\/161. Let z(r) be the second derivative of 0 + b*r**3 - 1\/8*r**4 - 2*r + 1\/40*r**5 - 1\/4*r**2. Find q such that z(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (78*y**2 - 314*y**2 - 1006*y**2)*(-6 + 11 + 2) to the form n*y + i*y**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691408044.\nAnswer: 2, 3, 131, 146609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57897384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 999495606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1807.4 + 1807. Sort -1, 2, s, -1\/7, 0.12 in ascending order.\nAnswer: -1, s, -1\/7, 0.12, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o + 5. Let x be t(-5). Let w(m) = -m**2 - 3. Let f(z) = -z**2 - 4. Let s(v) = -3*f(v) + 4*w(v). Let u(y) = -4*y**2 + 2*y. Give x*s(j) + u(j).\nAnswer: j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2*(-1 + (-3)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/34192 and 31\/8?\nAnswer: 34192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + -5 - 3) + 210\/93. Let w = -77\/62 - m. Let a = -0.5 + 0. What is the nearest to 0.1 in w, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30937367*d + 236897412 wrt d?\nAnswer: -30937367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-35))\/(63\/(-294)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5425 and 3035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/90 - (-64)\/(-288) - 300267\/8910.\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 63105 + 63105. Put 5, -1, 3, g in increasing order.\nAnswer: -1, g, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*q = 32, 4*q - 6 = -14. Does 15 divide 2\/g - 146\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 3) + 160\/12. Let s = 187\/12 - j. Put s, -2\/5, 0.3 in decreasing order.\nAnswer: 0.3, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46089, 46074, 46059, 46044, 46029?\nAnswer: 46014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czzz when four letters picked without replacement from {c: 4, f: 4, z: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 7) to base 14\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -2 (c) 10 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of v**5\/60 + v**3\/3 - 3. Let s(i) be the third derivative of l(i). Let w(u) = u**2. Calculate s(w(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 11 - 7*w - 16*w)*(w + 0 + 0)*(-7*w + 5 - 5) in the form v*w + u*w**2 + i*w**3 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-105)\/(10\/(-2)) - (-1 + -2). Let k be ((-3)\/((-18)\/33))\/(12\/j). Solve 20 = -7*f + k*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 504*p + 2021. Let d be g(-4). Put -7, d, -1, 0 in increasing order.\nAnswer: -7, -1, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 72*w + 106. What are the prime factors of n(-55)?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41797462.000027 + -41797428. Let g = 37 - 3. Let z = g - d. Round z to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 28. Let k be z(11). Let d be ((-14)\/6)\/((2\/k)\/(-1)). Let j(x) = d - 8 - x + 1. Let g(u) = -24*u**2. Give j(g(m)).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -144*n**2 - 58*n + 17. What is f(2)?\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 3)*(3 - 3 + j) + (424*j - 920*j + 2515*j + 1875*j)*(-2 + 2 - 3) to m + w*j and give w.\nAnswer: -11680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.95 and 12695?\nAnswer: -202485.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from {t: 3, l: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkhhkhkkhhhkkhhhk. Give prob of picking 4 k.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*b = -7*w + 324, 3*w = 2*b + 462. What is the greatest common divisor of 104 and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*t - 13*t - t**2 + 3 + 7*t + (107 - 7*t - 107)*(-t + 1 - 1) to the form g*t + b*t**2 + r and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 7*i**2 + 4*i + 1. Let z be v(-8). Let x = z + 9. Does 15 divide 12\/18 - x\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 210 + -208. Suppose -a + 1608 = -5*c - 1319, -5838 = -2*a + l*c. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, z: 6, n: 2, v: 9}. Give prob of sequence nnvz.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -28.3. Let m(l) = 2*l + 6. Let r be m(-4). What is the nearest to -4 in t, -2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 30. Let c be m(7). Let v be (c - 2)\/((-27)\/(-18)). Is (v\/4)\/((18\/3)\/(-276)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/13)*x*x**(-1\/3)\/x*x**6*x*x*x*x**(-4\/9)*(x\/x**(2\/7))**(-2\/37)\/(x**(2\/9)*x*x*x**(-1\/2)) assuming x is positive.\nAnswer: x**(44547\/6734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 + -0.17. Which is the smallest value? (a) -2\/15 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6935 and 29565.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = 2*m. Let x(b) = 1. Let k(o) = 5*o - 8*o + 4*o + 1. Let s(t) = -k(t) - 2*x(t). Calculate s(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 n when two letters picked without replacement from bbnnbnbbbbn.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 6*g**2 - g + 5. Let n(v) = -12*v - 66. Let t be n(-5). What is b(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -14650 greater than -14530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -156.51 or 3\/32?\nAnswer: -156.51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.021 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 152\/9*g + 2\/9*g**3 + 44\/9*g**2 = 0 for g.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.03 (b) -5 (c) -4\/17 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -197, 611, -426 in descending order.\nAnswer: 611, -197, -426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.70163876 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 56838?\nAnswer: 56839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 44 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/11, 0.4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 + -52. Solve -c + 1 = -r - 2, -3*r + 15 = m*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 35372.\nAnswer: 35371.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5567 - -7718. Calculate the remainder when i is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 2. Calculate the least common multiple of 4 and h(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**6\/30 + x**5\/10 + 5*x**4\/24 + x**3\/2 + x**2. Is d(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = 0, 10 + 11 = u + 3*y. Suppose -u = -5*a + 12. Solve 0*n = 3*n - a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:34 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - 0.073. Let n = k - 4.777. What is n rounded to 1 dp?\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -193*c**3 - 12*c**2 + 13*c - 10. Let a(t) = -96*t**3 - 5*t**2 + 6*t - 4. Calculate -5*a(f) + 2*d(f).\nAnswer: 94*f**3 + f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 424099011 or 424099010?\nAnswer: 424099010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170842, -341689, -512552, -683437, -854350, -1025297, -1196284?\nAnswer: -1367317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31e (base 15) to base 7.\nAnswer: -2024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807933 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 17. Let r(a) = -1. Suppose 0 = 2*p - 3*p - 2. Let b(d) = 17*d - 8. Let k(l) = 11*l - 5. Let t(y) = 2*b(y) - 3*k(y). What is p*t(z) + v*r(z)?\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -7.2. What is the third biggest value in 3, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 244933096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 - 3) + 1 + 3)*1. Suppose s = 4*v - 5*v + 5*q, 4*q = -5*v + 58. Suppose -4*m = -75 + 19. What is the least common multiple of v and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46 less than 15.33?\nAnswer: 14.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 278 + -155. Suppose 0 = 5*v - s - d, -6*s + 8 = -2*s. What is the remainder when 98 is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 531*t - 1777 - 4816 = 4558 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 30 = -4*v, -10 = -5*v + 5. Let m be 5\/15*1*a. Suppose k - 5 - m = 0. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 0 = 2, -11 = g - k. Let h be (g\/4)\/((-3)\/748). Suppose -7*p - 188 = -h. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 311 - 295.56. Let i = o + -1.44. Which is the second smallest value? (a) -1\/19 (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30740b (base 15) to base 9\nAnswer: -4288582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**4\/3 - 4510*f**3\/3 - 138908*f**2\/3 - 264290*f\/3 - 43297 = 0.\nAnswer: -4479, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 62.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 95*l**2 - 26*l + 47. Is c(2) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o = 3. Suppose -4*i + 1 + o = -2*q, -4*q + 4 = -4*i. Suppose 5*h - 34 - 16 = 0. Solve h = -i*k - 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(2))\/sqrt(9) - sqrt(6))\/(sqrt(2) - (sqrt(14) + sqrt(42)\/sqrt(3))\/sqrt(7)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - 3*d**3 + d**3 + (-6*d**2 + 2*d**2 + 2*d**2)*(-4 + 2*d + 4))*(2*d - 4*d + 0*d) + (-3 + 3 - 2)*(-55*d**2 + 55*d**2 - 61*d**4).\nAnswer: 132*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 272 = 28. Suppose -64*t + 22443 = -z*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-14) - 60\/(-14). Find the third derivative of f**6 + s*f**6 + f**2 - 2*f**6 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.149722 microseconds to milliseconds.\nAnswer: 0.005149722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((96\/(-5))\/(-4))\/(56\/20)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 2*i + i + (-1 + 0 - 1)*(3 + 2*i - 3) + i + 0*i - 3*i + (1 + 0 - 3)*(i + 5*i - 5*i) - i - i - i to m*i + w and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 328\/7, -1, 0 in decreasing order.\nAnswer: 328\/7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*j - 2040, 4*m + 3*j = 1674 + 2396. Suppose m = 3*o - 5*o. Is o\/(-12)*1*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109213334\/4257 + -25655. Let w = -197237\/17028 + s. Find the common denominator of ((-260)\/(-32))\/(-5) - -3 and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-12) + 2\/8. Let j = 3 + -1.6. Let s = -1.7 + j. Which is the second smallest value? (a) 4 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 times 0.88\nAnswer: 0.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p + 57. Let z = -5835 - -5839. What is n(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14806.71 years in millennia?\nAnswer: 14.80671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 31901, 2\/15, 17\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is (12\/72)\/((-2)\/16)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -127. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/12)\/(-1))\/((24\/8)\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10\/(a\/a**(-1\/10)))\/(a**(2\/5)*a**(-2\/17)*a) assuming a is positive.\nAnswer: a**(259\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**2 - 6*x**2 + 4*x**2)*(1 - 1 + x)*(x + 63 - 80 + x) in the form h*x + n*x**2 + c*x**4 + r + j*x**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) - 5*sqrt(28)) - 1*(sqrt(7) + ((sqrt(7) - sqrt(7)*3) + 0 - sqrt(7)) + sqrt(7))**2.\nAnswer: -36*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**2\/2 + r + 8. Let d be p(11). Which is smaller: d or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36489 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + r = -6, -4*i - 5 = -4*r + 19 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -473*f**4\/2 + 2864*f + 2608. Differentiate v(u) with respect to u.\nAnswer: -2838*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192431453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -294.3 - -296.678. Let s = 0.158 - o. Let y = s - -0.02. Round y to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 265. Give w(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/43 + 223\/172. Calculate the common denominator of 7\/146 and s.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - o + 19*o + 39*o - 9*o + (1 + 0 + 1)*(-2*o + 7*o - 3*o) + 3*o + 0*o - 2*o + (3*o + 0 + 0)*(-3 + 4 - 3).\nAnswer: 47*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -121, -218, -341?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/435*-29)\/(3\/4).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Suppose 0 = 4*q - 7*q - 2*u - 45, 0 = h*q - 3*u + 17. Let r = 17 - q. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -s - 11, -3*s - 4*i - 25 = -0*s. Let k = -1 + 3. Let l = 0.055 - 0.455. Sort s, l, 3, k in increasing order.\nAnswer: s, l, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/25 + (-4)\/10. Suppose -4*q + 8 = -6*q + 5*g, 0 = 2*q + g + 8. Is 0 + q\/d + 9 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -1234868\nAnswer: 11\/617434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 296224336 and -0.2?\nAnswer: -59244867.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 + 0*i**4 + 0*i**4 + (4*i**4 - 6*i**4 + 0*i**4)*(-4 + 6 + 0) - 4*i**2 + 291*i**4 - 141*i**4 - 145*i**4.\nAnswer: 2*i**4 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:57 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.988 - 6.588. Which is the fourth smallest value? (a) -2 (b) -5 (c) -12 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -236474 rounded to the nearest one thousand?\nAnswer: -236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1441 divide 94214287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, u: 7, i: 4, a: 5}. Give prob of picking 2 u and 1 a.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*139\/1529*(-11)\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o + 7. Let y be h(6). Let l = -14 - y. Let f = l - -28. List the prime factors of f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(1*sqrt(700))*1.\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48045?\nAnswer: 3, 5, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/96 and 5\/16.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50014.85l?\nAnswer: 50014850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 3*z + 3*z + (-2*z - 4*z - 3*z)*(-3*z + 5*z - z) + (0*z + 0*z - z)*(-25*z + z - 34*z) to the form k*z**2 + y*z + c and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 996203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46683 and 6279.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*n)*(-n - 3*n + 5*n) + (2 - 1 - 3)*(-778 + 25*n**2 + 778).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9906046mg to nanograms.\nAnswer: 990604.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*u = 20, -4*p = -104*u + 106*u + 34 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -17. Solve -15 = -5*u + v*a, -u - 6 + 1 = -5*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12220101120332 + -11?\nAnswer: -12220101121003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 143862285 to the power of 1\/2, to the nearest integer?\nAnswer: 11994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 644031497 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k**3 - 6*k**2 - 5*k - 3. Let n(a) = a**2 + 8*a + 10. Let w be n(-6). Let l be o(w). Suppose -p + l - 19 = 0. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 111404, 111430, 111514, 111686, 111976, 112414, 113030?\n\"Answer: 5*a**3 - a**2 - 6*a + 111406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 116 + 37 = 0. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 5*l + 10. Let x be r(-7). Let i = x - -8. Let p be i\/15*(-18)\/(-12). Which is the biggest value? (a) -1 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-3)\/(-3)))\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i - 5*i**2 + i)*(-2*i - 3 + 3) + 2*i**2 - 28 + 22 + i**3 + 15 in the form j*i**2 + t + h*i + y*i**3 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/(-3) + (-546)\/108 and (-2)\/60*(-3 - 7837\/136).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3087*j**2 - 13. Let y(r) = 3087*r**2 + r + 14. Let w(g) = 7*p(g) + 6*y(g). Let b be w(9). Round b to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 154 = 8. Let k = p + -74. Let c be (k - 3\/9)\/((-3)\/27). Solve j = -2*j + c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 18 = 5*x - 2, 4*t + 3*x - 23 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56640?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 175*a**2 + 24*a - 22. Let j(f) = 58*f**2 + 8*f - 8. Give -8*j(l) + 3*s(l).\nAnswer: 61*l**2 + 8*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4259576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -344 (b) 1\/4 (c) 5 (d) 316 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211746?\nAnswer: 2, 3, 35291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u + 12. Let s be a(-5). Let j be -6 + 2*(2 + s). Is 10 a factor of -10*(j\/48 - (-10)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222010000212121 + 112?\nAnswer: -222010000212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -15. Let o = n - -14. Let u(m) = -m**2 - 9*m - 8. Let z be u(o). Solve 0*i + 15 = -5*i + a, z = -3*i - 5*a - 37 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/26)\/(3\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -303, -297, -281, -249, -195, -113, 3, 159?\n\"Answer: i**3 - i**2 + 2*i - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20599, 41198, 61797?\n\"Answer: 20599*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104976397?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 70 - -18 - (0 - -4).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18804341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4300704 divided by -14933\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 8400*x + 50220.\nAnswer: 5*(x - 1674)*(x - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.26989 to 0 dps.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 21 = 3*o - 65, -22 = -o - 5*j. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*p - p - 53 = 0, -83 = -5*o - 4*p. Calculate the remainder when 23 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/189 and 59\/189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381500 is divided by 31686.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-111)\/21 - 11. Which is the closest to 3\/7? (a) 4\/5 (b) v (c) 6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 32, 64, 106, 158?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 5 + 567*y**2 - 280*y**2 - 286*y**2 + 5.\nAnswer: y**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*(0 + (sqrt(891) - (3 + (sqrt(891)*2 - sqrt(891)) + sqrt(891))) + (sqrt(891) - sqrt(891)*-2*1))**2*2.\nAnswer: -171504 + 5184*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + r = -61873, 316*r = -x + 318*r + 15477. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 438 + -875\/2. Sort u, 12, 2\/5, -5 in increasing order.\nAnswer: -5, 2\/5, u, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c + 11 - 11 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 45. What is the second derivative of -4 - 2 + 6 + 11*j + 18*j**a wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4962, -4986, -5024, -5082, -5166, -5282, -5436, -5634?\n\"Answer: -k**3 - k**2 - 14*k - 4946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 3626.\nAnswer: 3626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31650451 times 4?\nAnswer: -126601804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16718 + -9985. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (3 - 5)) + 1 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*n + 5*n + 1520. Let w = n - 269. Suppose -2*z + 99 - 13 = -2*g, 0 = -5*z - 2*g + 180. Calculate the remainder when w is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 595210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 5*j + 5 = 17*y, 5*y - 3*j - 3 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 6)\/((6\/21)\/((-15)\/35))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10 - y + 860*y**2 - 2616*y**2 - 544*y**2. Let h(p) = -p**2 - 6*p + 1. Let i be h(-3). Let c be o(i). Round c to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*sqrt(180)\/sqrt(4))\/(1*sqrt(36)) + (sqrt(40)\/sqrt(8) + 5 - (sqrt(245) + -2)).\nAnswer: -4*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from llhhhll?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*v + 2*o + 48 = 0, 3*v - 142 = 5*o. Let w = -24 + v. Let p = -13 + w. What is the greatest common divisor of 14 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39079836 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*l - 220, -2*k + l + 45 = -40. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 24 = -2*z + 2*h, 0 = -z + 3*h - 14. Let g be 32\/z*(-2 + 1). Solve -4*y - g*j + 4 = 0, j + 15 = -5*y + 6*j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 a, and 1 l when three letters picked without replacement from lalgggs?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*t**2 - 7*t**2 + 14*t**2 + (3*t**2 - 4*t**2 + 0*t**2)*(-1 + 3 - 1) + 2*t**2 - 6*t**2 + 2*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jt when two letters picked without replacement from ijjjjtttji.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3059019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p\/(p**5\/p))\/p*p)\/p)**11*p**10\/(p**(-8)*p*p))**30 assuming p is positive.\nAnswer: p**(-510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*sqrt(2304))\/(sqrt(1452) - (1*(sqrt(1452) + 4*sqrt(1452) + sqrt(1452)) + sqrt(1452) - sqrt(1452))).\nAnswer: -32*sqrt(3)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 69 = 3*m - 0*r, 4*r = 5*m - 132. Suppose 0 = 4*d + 4*h - 42 + 10, -2*d = 4*h - 26. Solve 0 = -n + 4, -4*k = d*n - 2*n - m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8 + 5)*(-4)\/(-6). Let w(a) = a**3 - a**2 + a - 4. Let x be w(0). Sort -1, x, k.\nAnswer: x, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -0.4 (c) 5 (d) -30.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (138845\/410)\/(-7) + 2 + 0. Let p = j + -5\/41. What is the common denominator of -87\/4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, l: 5, s: 4, c: 6}. Give prob of sequence sk.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3) - 14\/24*-1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*c = -539*c + 263*c + 52 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 14575\nAnswer: -24\/14575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.063, 92, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.3 - 0.3. Let f = a + -2. Let g = -1 - f. Is 0.2 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4934220788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 20 = 5*n, 0*v + 4 = n + 2*v. Suppose d - 1 = i, 2*d - n = 4*i - 0*d. Let h = i + 30. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -7*y**4\/24 + 10*y**2. Let h(x) = x**2. What is h(s(z))?\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let y(z) = -4 + 0 + 3. Let w(v) = -2*v - 10. Let h(j) = -w(j) + 10*y(j). Determine l(h(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -27775\nAnswer: -3\/27775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 15219.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.504412 rounded to 3 dps?\nAnswer: 1.504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8004.0985 to the nearest ten.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -5*g**4\/4 - 20*g**3 + 135*g**2\/2 - 70*g + 1751. Suppose y(w) = 0. What is w?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + l**2 - l**2 + (-l**3 + 3*l**3 - l**3)*(-6 + 5 + 0) + 2 - 2 + 3*l**3 + 4*l**2 - 4*l**2 - 5*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 4:30 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**7\/840 + d**6\/60 + d**4\/6 - d**3\/2 - 13*d. Let s(g) be the second derivative of y(g). Give s(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**3 + h**3 + 3*h**2 - 7*h**2 + 4. Give t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 1282*a + 39. Is w(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.1 (c) 49 (d) -19 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3639 - -5111. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 2 (c) -1591 (d) -2 (e) -19 (f) 3 (g) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64016.017 + -64077. Let r = g - -61. What is the closest to r in 5, -1\/10, -0.3, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97.39 + 97.79. Which is the fourth biggest value? (a) -3 (b) 2 (c) 3 (d) 166 (e) q\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2377 + 237 = -5*c. Suppose -4*g + 5*u = -147, -3*g - 3*u - 21 = -111. Calculate the remainder when c is divided by g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -1\/2 (c) -2 (d) 13 (e) -6 (f) -0.03 (g) 0.102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -4, -8\/7, -38, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 + 2*q - 1. Let f(d) = -6*d + 2. Calculate the lowest common multiple of a(1) and f(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + ((-2)\/(-3) - 276\/(-18)). Solve d - 1 = b, -3 = -b + 3*d - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 20 - -11) + 13 - -11\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*l + 4*g, -l + 4*l - 16 = 2*g. Let o = 25 - l. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15530 is divided by 1249.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 - 28*q - 14. Let i be k(-8). Solve 3*y - i = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321*p - 318*p - 40 = 2*r, 0 = p - 2*r - 8 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/28)\/((-168)\/(-192)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -135, 2854 in descending order.\nAnswer: 2854, -2\/7, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794830921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-5) - (-2 + 5). Let z be n\/(4\/3) + -734. Let i = -284 - z. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*1)**2 - sqrt(156)\/sqrt(3).\nAnswer: -2*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70235 + 7725943\/110. Find the common denominator of j and -53\/140.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 + (-7 - (-73 - -46)) + -56?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331992 divided by -27.\nAnswer: 12296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*u + 5 = -101*u + o, 3*u + 2*o = -25 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a tonne in kilograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 234?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657925910.\nAnswer: 2, 5, 65792591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 65958, 63755, 60082, 54939, 48326?\n\"Answer: -735*h**2 + 2*h + 66691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8*-2*-19. Suppose 0 = -5*f + 59 - b. What is the second derivative of f*a + 3*a**2 - a**2 - 5*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + ((-1)\/2)\/((-30)\/60). Put -11, 2, f, 1\/3 in descending order.\nAnswer: f, 2, 1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.326163 - -33\nAnswer: 37.326163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -4*s - 26*c + 22*c, -3*c = -6*s + 45 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 34 = 5*f, -2*f = -93 + 85. Calculate the least common multiple of z and 818.\nAnswer: 7362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a**3 + 0*a**3 + 2*a**3)*(2 - 2 - 5) - 2*a**2 + 2*a**2 - 3*a**3)*(-1 + 2 + 1)*(0 + 1 + 0).\nAnswer: -46*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -229.7398?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -28*p + 9*p + 37651. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/4, 1 in ascending order.\nAnswer: -3\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -56241432 (base 7) to base 14\nAnswer: -909b89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 36, 50, 58, 60, 56?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*g*h*x**2 + g*h*x - 2*g*h - 104*g*x**2 + g*x + 392*g - 3478*h*x**2 + 9*h*x + 6*h wrt x?\nAnswer: 64*g*h - 208*g - 6956*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 466203 at least 466203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.03 - -8.13. Put -0.06, h, 5, 1\/14 in increasing order.\nAnswer: -0.06, 1\/14, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 28*g**2 - 22*g**2 + 1.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 295738926 to the nearest integer?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -32\/9370071 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**29)**(-28))**(-48))**(2\/5) assuming b is positive.\nAnswer: b**(77952\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 2039 - (-117)\/39.\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36293 bigger than -36293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(96)\/(sqrt(8) + sqrt(8)*1 + sqrt(8)))\/((sqrt(36) - sqrt(4))*-1)*-4.\nAnswer: -1 + 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -3*t + 9, -65897*k + 65900*k - 105*t + 411 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 364 and 6?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13443e0 + 18?\nAnswer: -13443c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)*v*v**9*v*v*v**(-6)*v*v*v*(v*v\/v**(3\/10)*v)\/v assuming v is positive.\nAnswer: v**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/42 and -79\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 29, -1, 3, -3, -251 in ascending order.\nAnswer: -251, -3, -1, 3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (3 - (-5 + -12 + 9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + x**4 - 4*x**3 - 9*x**3 + 13*x**3 + 1 as z*x**3 + y + m*x**4 + q*x**2 + o*x and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/11))**(6\/31)\/(x*x*(x*x*x**(1\/3))\/x*x)**(3\/50) assuming x is positive.\nAnswer: x**(-3833\/17050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + 5*t)*(2*t - 2 + 2 + (5*t + 2*t - 5*t)*(1 + 0 + 0)).\nAnswer: 20*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgbw when four letters picked without replacement from {w: 1, b: 2, g: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 260257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6441 and 152211.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-4))\/((-4)\/8*(-4)\/(-2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 157762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296905 and 1996?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 74340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 14*x - 29*x + 7*x - 7298 + 11*x + 7298.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 + 8*j - 7. Let k be a(-9). What is the units digit of 12 + 0 + k + -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a - 10. Let p(x) = x - 9. Let l(t) = 3*i(t) - 4*p(t). Let g be (98\/(-7))\/(-7) + -3. Let z(b) = 1 + b - 2*b + 6*b - 4*b. What is g*l(w) + 4*z(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -9*z**3 - 9*z**2 - 9*z - 8. Let a(q) = -11*q**3 - 8*q**2 - 8*q - 7. Let y(m) = 5*a(m) - 6*g(m). Calculate y(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 7 - 56\/5. What is the closest to -0.2 in -2, -0.5, 4, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-4)\/(-1))*2*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 11:22 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 27*x + 23 + 17*x + 34*x to the form y*x + j and give j.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c - 5*c - 2 + 20*c + c**3 + 5*c**2. Determine o(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 - 7*t + 3. Let l(w) = 5*w**3 - 20*w + 9. Let j(k) = 4*l(k) - 11*v(k). Determine j(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2*(-19)\/(-76).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*k + 2 = 2*k, 2*f - 3*k - 13 = 0. Let h(i) be the first derivative of -5*i - f + 1\/2*i**2. Determine h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.716 * -11.\nAnswer: -7.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:35 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i + 5*i + i + 17 + 5*i.\nAnswer: -2*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 567.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2779*q**2 + 2782*q**2 + 28 + 8*q - 5562*q**2 to f*q**2 + b + y*q and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -21. Let k be (-6)\/(-21) + (-63)\/d. Sort k, 18, -3 in ascending order.\nAnswer: -3, k, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -356447544, -712895088, -1069342632?\nAnswer: -1425790176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3112.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2639 + -955. Let m = w + 28673\/8. Find the common denominator of m and 1\/(-1*(-8)\/(-17)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f - 9. Suppose 3*p - 6 = -5*n, -f - 3 = -n - 3*p. Suppose 4*s + 14 = -q, n*q - 4*s = 3*q + 10. Which is the nearest to 2? (a) -0.2 (b) q (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0254 times 82.3174\nAnswer: 2.09086196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.52? (a) 2 (b) 0.3 (c) 1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35015 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 - 146 = 5*q. Let n = q + 105. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 18*m - 180. Calculate d(-11).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, c: 1, w: 7}. What is prob of sequence iic?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:03 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b\/((b\/b**4)\/b))\/b*b*b*b**(-2))**30)**(5\/9) assuming b is positive.\nAnswer: b**100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/69*(157\/((-16485)\/(-40)))\/(4\/14)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 3) + 1 - 0. Let t(m) = 5*m**2 - 3 + y + 2*m**2 + m - 2*m**2. What are the prime factors of t(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001.385 millilitres in litres?\nAnswer: 1.001385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(121) - sqrt(121)) - sqrt(121))\/(sqrt(539) + 1*sqrt(539))*-4 + ((-2*sqrt(176)*1)\/sqrt(4))**2*6.\nAnswer: -2*sqrt(11)\/7 + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2991.73 + 3008. Let w = o - 16. Round w to two dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -30, -25, -20, -15, -10, -5?\n\"Answer: 5*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**3 + 54*g**2 - 102*g + 50 = 0.\nAnswer: 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -280 or -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2)*2)\/(1*(-4)\/52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 7)*(1 + -4)\/30. What is the second smallest value in 4\/9, x, 0.3, -0.01?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2804*v + 281070 = -2339*v + 366*v + 1307*v for v.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + (-1 - 0 - 6) - -97.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-27))\/((-17)\/306). Sort 4, 0, -155, -1, v in ascending order.\nAnswer: -155, v, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 e, and 1 y when four letters picked without replacement from esyyysesessei.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -125, -4, -3 in increasing order.\nAnswer: -125, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 5*n + 8. Let j be k(-7). Let i be j*(2\/4 - 1). Solve -i*u + g + 3*g + 17 = 0, -4*g = -2*u + 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-3)\/(-1 + 4)). Let v be 76\/(-66) - r\/11. Let b(s) = -s + 5. Let u be b(6). Put u, 4, v in descending order.\nAnswer: 4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*z**5 + 0*z**2 + 0*z**5 - 6*z**2 - 3*z**5 wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 9:56 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/3 - 1168*k**3\/3 + 1578*k**2 + 5868*k - 7056 = 0. What is k?\nAnswer: -588, -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/4 of a millennium?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3896)\/(-26) + (3 - 222\/78) is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*v + 15 + 11 = 0, -16 = -4*f + 2*v. Suppose -f*o + 16 = -14. Solve 0 = d - 0*d + 5*i - 18, 0 = -2*d - o*i + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186, -187, -188, -189, -190?\n\"Answer: -d - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + -1 - (-8 - -16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/((-2*sqrt(45))\/sqrt(9)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12650384*h*s - 14309783*h wrt s?\nAnswer: 12650384*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134341, 134342, 134365, 134422, 134525, 134686, 134917, 135230?\n\"Answer: 2*b**3 - b**2 - 10*b + 134350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -16*i**2 + 11*i**2 - 3*i + 9*i**2 + 8*i**2. What is the remainder when 27 is divided by s(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*z + 60. Suppose -4*o - 3*n + 752 = z, -4*n - 744 = -4*o - 9*n. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 16*j + 23. Let i = 61 + -49. Let b be u(i). Suppose 3*t + c - b = -0, 139 = 2*t + 5*c. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4 = -4*b, -2921*g = 18*b - 2918*g - 60 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -165*y**4 - 13*y**2 + 12*y**5 + 165*y**4 wrt y?\nAnswer: 720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2694 - -58.6006. Let q = x - -0.13. Let z = q + -62. What is the nearest to -4 in 0.3, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8139 + 1074.09.\nAnswer: 1074.9039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}